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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.3s (10.7%)

Memory

15.2MiB live, 1 310.9MiB allocated

Samples

953.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 752.0ms

ival-mult: 294.0ms (39.1% of total)

ival-sin: 219.0ms (29.1% of total)

ival-cos: 186.0ms (24.7% of total)

ival-sub: 43.0ms (5.7% of total)

ival-true: 6.0ms (0.8% of total)

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

Bogosity

explain113.0ms (1%)

Memory

-12.4MiB live, 176.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

61.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-cos: 25.0ms (54.8% of total)

ival-sin: 11.0ms (24.1% of total)

ival-mult: 7.0ms (15.3% of total)

ival-sub: 2.0ms (4.4% of total)

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

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

preprocess81.0ms (0.7%)

Memory

-1.5MiB live, 71.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify16.0ms (0.1%)

Memory

-20.5MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.3%)

Memory

17.4MiB live, 17.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.00390625	(cos.f64 y)
accuracy	0.1640625	(*.f64 z (sin.f64 y))
accuracy	0.17578125	(*.f64 x (cos.f64 y))

Samples

23.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 6.0ms (38.8% of total)

ival-sin: 5.0ms (32.3% of total)

ival-mult: 3.0ms (19.4% of total)

ival-sub: 1.0ms (6.5% of total)

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

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

series8.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB 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 (* -1 (* 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) (* -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 (+ (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 (+ (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 (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)) (/ (* 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)) (/ (* 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)) (/ (* 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 (* -1 (* 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 (- (* -1/2 (* 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 (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (+ (* -1 (* z (sin y))) (* 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 (+ (* -1 (* z (sin y))) (* 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 (+ (* -1 (* z (sin y))) (* 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 (* -1 (* 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 (- (/ (* x (cos y)) 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 (- (/ (* x (cos y)) 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 (- (/ (* x (cos y)) 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 (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 (/ (* x (cos y)) z)) (* -1 (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 (/ (* x (cos y)) z)) (* -1 (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 (/ (* x (cos y)) z)) (* -1 (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 (* 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	z	@	0	(- (* x (cos y)) (* z (sin y)))
1.0ms	x	@	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)))
0.0ms	y	@	0	(- (* x (cos y)) (* z (sin y)))

simplify283.0ms (2.4%)

Memory

-22.2MiB live, 332.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite624.0ms (5.3%)

Memory

-129.0MiB live, 577.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 231

Calls

Call 1

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

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

eval42.0ms (0.4%)

Memory: 2.2MiB live, 119.7MiB allocated
Compiler: Compiled 15 516 to 726 computations (95.3% saved)

prune127.0ms (1.1%)

Memory

-19.5MiB live, 157.7MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	305	20	325
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	306	20	326

Accuracy

99.9%

Counts

326 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.1%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
	65.8%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
	42.8%	(fma.f64 (.f64 x (.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
▶	99.7%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	43.2%	(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
	22.8%	(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (/.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (/.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	18.1%	(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
▶	50.6%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y)))
	51.6%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (.f64 z (sin.f64 y)))
	54.9%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y)))
	75.8%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
▶	43.1%	(.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
	99.7%	(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
	27.6%	(.f64 (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 2 binary64))))
	48.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
▶	50.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	49.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
	57.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
▶	42.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))

Compiler

Compiled 1 342 to 582 computations (56.6% saved)

simplify315.0ms (2.7%)

Memory

-4.9MiB live, 305.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	320	(.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
cost-diff	6720	(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	(neg.f64 (*.f64 z (sin.f64 y)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
cost-diff	0	(*.f64 z y)
cost-diff	0	(-.f64 x (*.f64 z y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	(neg.f64 (*.f64 z (sin.f64 y)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))

Rules

14 832×	`lower-fma.f32`
14 820×	`lower-fma.f64`
3 964×	`lower-*.f32`
3 944×	`lower-*.f64`
1 602×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	345
0	77	345
1	154	343
2	340	343
3	869	343
4	2650	339
5	5293	337
6	7692	337
0	8282	330

Stop Event

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

Calls

Call 1

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

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

localize263.0ms (2.2%)

Memory

8.9MiB live, 330.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.5546619828306641	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	9.460808599764537	(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
accuracy	13.067242251877031	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	26.919874711698	(.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
accuracy	0.1640625	(*.f64 z (sin.f64 y))
accuracy	0.17578125	(.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy	0.21875	(.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
accuracy	32.73840154671324	#s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	0	(sin.f64 y)
accuracy	0	(neg.f64 (*.f64 z (sin.f64 y)))
accuracy	0.1640625	(*.f64 z (sin.f64 y))
accuracy	36.51148959559286	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
accuracy	0	(*.f64 z y)
accuracy	0.0078125	(-.f64 x (*.f64 z y))
accuracy	31.77511771960029	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy	0	(neg.f64 (*.f64 z (sin.f64 y)))
accuracy	0.00390625	(cos.f64 y)
accuracy	0.078125	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
accuracy	0.1640625	(*.f64 z (sin.f64 y))

Samples

76.0ms	76×	1	valid
60.0ms	138×	0	valid
41.0ms	42×	2	valid

Compiler

Compiled 297 to 42 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-mult: 36.0ms (25.1% of total)

adjust: 34.0ms (23.7% of total)

ival-cos: 34.0ms (23.7% of total)

ival-add: 12.0ms (8.4% of total)

ival-sub: 8.0ms (5.6% of total)

const: 8.0ms (5.6% of total)

ival-sin: 6.0ms (4.2% of total)

ival-neg: 3.0ms (2.1% of total)

ival-div: 2.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.5%)

Memory

5.1MiB live, 41.3MiB allocated

Counts

18 → 432

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1/2 (* x y)) z))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
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#s(alt (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (taylor -inf y) (#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 (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (taylor -inf y) (#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 (- 1/2 (* 1/2 (cos (neg (* -2 y))))) (taylor -inf y) (#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 1 (taylor 0 y) (#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 (+ 1 (* -1 (pow y 2))) (taylor 0 y) (#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 (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) (taylor 0 y) (#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 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) (taylor 0 y) (#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 (+ 1/2 (* 1/2 (cos (* 2 y)))) (taylor inf y) (#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 (+ 1/2 (* 1/2 (cos (* 2 y)))) (taylor inf y) (#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 (+ 1/2 (* 1/2 (cos (* 2 y)))) (taylor inf y) (#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 (+ 1/2 (* 1/2 (cos (* 2 y)))) (taylor inf y) (#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 (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (taylor -inf y) (#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 (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (taylor -inf y) (#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 (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (taylor -inf y) (#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 (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (taylor -inf y) (#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 (* 1/24 y) (taylor 0 y) (#s(alt (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/24 (* -1/720 (pow y 2)))) (taylor 0 y) (#s(alt (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/24 (* -1/720 (pow y 2)))) (taylor 0 y) (#s(alt (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1/24 (* -1/720 (pow y 2)))) (taylor 0 y) (#s(alt (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow y 3)) (taylor inf y) (#s(alt (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) (taylor inf y) (#s(alt (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) (taylor inf y) (#s(alt (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) (taylor inf y) (#s(alt (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow y 3)) (taylor -inf y) (#s(alt (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2)))))) (taylor -inf y) (#s(alt (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2)))))) (taylor -inf y) (#s(alt (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2)))))) (taylor -inf y) (#s(alt (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (patch (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #<representation binary64>) () ())) ())

Calls

108 calls:

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

simplify386.0ms (3.3%)

Memory

8.4MiB live, 432.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 146×	`lower-fma.f64`
9 146×	`lower-fma.f32`
8 306×	`lower-*.f64`
8 306×	`lower-*.f32`
2 144×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	481	5458
1	1589	5301
2	5698	5233
0	8895	4968

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 421

Calls

Call 1

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

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

rewrite418.0ms (3.6%)

Memory

51.6MiB live, 707.0MiB allocated

Rules

7 302×	`lower-fma.f32`
7 290×	`lower-fma.f64`
5 524×	`lower-*.f32`
5 504×	`lower-*.f64`
4 354×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	227
0	77	200
1	299	180
2	2252	180
0	9895	180

Stop Event

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

Counts

18 → 691

Calls

Call 1

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

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

eval214.0ms (1.8%)

Memory: -11.0MiB live, 501.0MiB allocated
Compiler: Compiled 50 760 to 2 402 computations (95.3% saved)

prune397.0ms (3.4%)

Memory

-31.4MiB live, 547.5MiB allocated

Pruning

45 alts after pruning (41 fresh and 4 done)

	Pruned	Kept	Total
New	1 243	36	1 279
Fresh	10	5	15
Picked	1	4	5
Done	0	0	0
Total	1 254	45	1 299

Accuracy

100.0%

Counts

1 299 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.8%	(fma.f64 (.f64 x (.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
✓	99.7%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	75.8%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (neg.f64 (*.f64 z (sin.f64 y))))
	43.6%	(/.f64 (fma.f64 x (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)))) (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	50.6%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y)))
	48.8%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))))
	48.4%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 z #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
	48.5%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y z)))
	45.8%	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 z)) z (.f64 x (.f64 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 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
	42.7%	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (fma.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 y y)) (.f64 x x)) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
▶	99.7%	(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
	99.5%	(.f64 (.f64 (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (.f64 (cos.f64 y) x)))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
▶	31.0%	(.f64 #s(approx (+ ( (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
	48.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x))
	17.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
▶	16.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 y z) y) z) (.f64 x (*.f64 y (neg.f64 z)))))))
	30.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
	16.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))))
	17.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))))))
	30.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
	28.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 (.f64 (.f64 y z) y) z) (fma.f64 y z x))))
✓	50.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	49.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
	17.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)))))
▶	30.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
	88.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
	93.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))))
	57.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓	42.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
	18.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y)))))
	18.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)))))
	18.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))))
▶	18.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
	48.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)))
	45.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
	39.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
	18.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/6 binary64) (.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) (neg.f64 z)))))
	18.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
	99.0%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
	53.1%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 x (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))))
	57.1%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	27.6%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
	93.1%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 (neg.f64 x) (fma.f64 z (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)))))
	93.0%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x (fma.f64 z (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 y) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))))

Compiler

Compiled 2 119 to 1 105 computations (47.9% saved)

simplify217.0ms (1.9%)

Memory

34.5MiB live, 263.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
cost-diff	320	(.f64 #s(approx (+ ( (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
cost-diff	0	(.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 y z) y) z) (.f64 x (*.f64 y (neg.f64 z)))))))
cost-diff	896	(-.f64 (.f64 (.f64 (.f64 y z) y) z) (.f64 x (*.f64 y (neg.f64 z))))
cost-diff	3840	(/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 y z) y) z) (.f64 x (*.f64 y (neg.f64 z))))))
cost-diff	0	(fma.f64 y z x)
cost-diff	0	(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
cost-diff	2112	(.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
cost-diff	0	(*.f64 y z)
cost-diff	0	#s(approx (* z (sin y)) (*.f64 y z))
cost-diff	0	(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
cost-diff	28032	(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))

Rules

7 746×	`lower-fma.f32`
7 736×	`lower-fma.f64`
4 820×	`lower-*.f32`
4 790×	`lower-*.f64`
1 924×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	522
0	95	522
1	198	500
2	476	440
3	1391	408
4	5523	404
0	8839	398

Stop Event

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

Calls

Call 1

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

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

localize308.0ms (2.6%)

Memory

-14.9MiB live, 352.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.304223621758126	(.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
accuracy	0.5546619828306641	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy	25.140452045166803	#s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
accuracy	26.919874711698	(.f64 #s(approx (+ ( (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
accuracy	4.3444373675704435	(.f64 (.f64 (*.f64 y z) y) z)
accuracy	4.749993807490618	(-.f64 (.f64 (.f64 (.f64 y z) y) z) (.f64 x (*.f64 y (neg.f64 z))))
accuracy	31.77511771960029	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 y z) y) z) (.f64 x (*.f64 y (neg.f64 z)))))))
accuracy	41.584671706393394	(/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 x x (-.f64 (.f64 (.f64 (.f64 y z) y) z) (.f64 x (*.f64 y (neg.f64 z))))))
accuracy	0.1015625	(.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))
accuracy	0.7247831334760473	(/.f64 #s(literal 1 binary64) (fma.f64 y z x))
accuracy	30.22835802306904	(.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
accuracy	31.77511771960029	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
accuracy	0	(*.f64 y z)
accuracy	0	(neg.f64 #s(approx (* z (sin y)) (*.f64 y z)))
accuracy	32.58566228547211	#s(approx (* z (sin y)) (*.f64 y z))
accuracy	36.51148959559286	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
accuracy	0.037441259768442016	(/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
accuracy	0.0859375	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
accuracy	0.1640625	(*.f64 z (sin.f64 y))
accuracy	0.17578125	(*.f64 x (cos.f64 y))

Samples

126.0ms	65×	1	valid
81.0ms	191×	0	valid

Compiler

Compiled 451 to 52 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-mult: 56.0ms (33.6% of total)

ival-add: 42.0ms (25.2% of total)

ival-cos: 36.0ms (21.6% of total)

ival-div: 11.0ms (6.6% of total)

adjust: 6.0ms (3.6% of total)

ival-sin: 6.0ms (3.6% of total)

ival-sub: 5.0ms (3% of total)

ival-neg: 4.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series102.0ms (0.9%)

Memory

24.0MiB live, 132.1MiB allocated

Counts

25 → 744

Calls

Call 1

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

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

Calls

186 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	(/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z))))))
5.0ms	x	@	0	(* (* x x) (+ (* 1/2 (cos (* y -2))) 1/2))
4.0ms	y	@	-inf	(/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z))))))
2.0ms	y	@	0	(/ 1 (+ (* y z) x))
2.0ms	y	@	inf	(/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z))))))

simplify402.0ms (3.4%)

Memory

-1.6MiB live, 445.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 704×	`lower-fma.f64`
8 704×	`lower-fma.f32`
6 460×	`lower-*.f64`
6 460×	`lower-*.f32`
4 422×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1109	10333
1	3789	9864
0	8563	9508

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 725

Calls

Call 1

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

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

rewrite383.0ms (3.3%)

Memory

-5.3MiB live, 594.5MiB allocated

Rules

4 250×	`lower-*.f32`
4 220×	`lower-*.f64`
3 882×	`lower-/.f32`
3 874×	`lower-/.f64`
3 750×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	392
0	95	346
1	348	245
2	2813	245
0	8169	245

Stop Event

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

Counts

25 → 739

Calls

Call 1

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

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

eval319.0ms (2.7%)

Memory: 23.2MiB live, 565.0MiB allocated
Compiler: Compiled 67 821 to 3 582 computations (94.7% saved)

prune484.0ms (4.1%)

Memory

-14.9MiB live, 526.6MiB allocated

Pruning

55 alts after pruning (49 fresh and 6 done)

	Pruned	Kept	Total
New	1 987	26	2 013
Fresh	13	23	36
Picked	3	2	5
Done	0	4	4
Total	2 003	55	2 058

Accuracy

100.0%

Counts

2 058 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.8%	(fma.f64 (.f64 x (.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
✓	99.7%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	75.8%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (neg.f64 (*.f64 z (sin.f64 y))))
	31.1%	(/.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	50.6%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y)))
	48.8%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))))
	48.4%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 z #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
	48.5%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y z)))
	45.8%	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 z)) z (.f64 x (.f64 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 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
▶	99.7%	(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
✓	99.7%	(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
	99.5%	(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	30.6%	(.f64 #s(approx (+ ( (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
	49.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal 1/6 binary64))) (neg.f64 z)) x))
	48.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x))
▶	11.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 x x #s(approx (- (* (* (* y z) y) z) (* x (* y (neg z)))) (.f64 y (fma.f64 y (.f64 z z) (*.f64 z x)))))))
	16.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))))
	17.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))))))
	50.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 z) x))))
	28.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 (.f64 (.f64 y z) y) z) (fma.f64 y z x))))
✓	50.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	23.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 y (neg.f64 z) x) (.f64 (fma.f64 y (.f64 z (fma.f64 y z x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z (fma.f64 y z x)) (.f64 x x))))))
	49.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 y (neg.f64 z) x) (.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
	16.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (fma.f64 x (.f64 x x) (.f64 (.f64 y z) (.f64 (.f64 y z) (.f64 y z))))) (fma.f64 x (fma.f64 y (neg.f64 z) x) (.f64 (.f64 y z) (*.f64 y z)))))
	28.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( y z) x) (fma.f64 x (/.f64 (*.f64 z y) x) x)))))
	27.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))))
	14.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( y z) x) (*.f64 z y)))))
	28.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (-.f64 (*.f64 y z) x))))
	18.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) #s(approx (/ 1 (+ ( y z) x)) (/.f64 (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)) x))))
	30.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
▶	14.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 #s(approx (+ (* y z) x) (.f64 z y)) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
	18.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
	88.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y))))
	88.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
	93.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))))
	57.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓	42.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
	18.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y)))))
	18.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)))))
	18.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))))
	18.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 z (.f64 y y)) #s(literal 1/120 binary64) (*.f64 z #s(literal -1/6 binary64))) z)))))
	18.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 z (*.f64 y y)) z)))))
✓	18.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
	45.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z)))))) (*.f64 z (-.f64 (/.f64 x z) y))))
▶	39.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z)))))) (*.f64 y (-.f64 (/.f64 x y) z))))
	43.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z)))))) (*.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))
	18.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/6 binary64) (.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) (neg.f64 z)))))
	18.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
	99.0%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
	53.1%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 x (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))))
	57.1%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
▶	27.6%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
	28.0%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 (neg.f64 z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
	93.0%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x (fma.f64 z (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 y) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))))

Compiler

Compiled 2 502 to 1 291 computations (48.4% saved)

simplify356.0ms (3%)

Memory

-19.4MiB live, 208.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (*.f64 y #s(literal -2 binary64)))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
cost-diff	128	(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))
cost-diff	0	(.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z)))
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 x x #s(approx (- (* (* (* y z) y) z) (* x (* y (neg z)))) (.f64 y (fma.f64 y (.f64 z z) (*.f64 z x))))))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 x x #s(approx (- (* (* (* y z) y) z) (* x (* y (neg z)))) (.f64 y (fma.f64 y (.f64 z z) (*.f64 z x)))))))
cost-diff	320	(fma.f64 y (.f64 z z) (.f64 z x))
cost-diff	0	#s(approx (+ (* y z) x) (*.f64 z y))
cost-diff	0	(.f64 #s(approx (+ ( y z) x) (.f64 z y)) (-.f64 x (.f64 y z)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 #s(approx (+ (* y z) x) (.f64 z y)) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
cost-diff	320	(.f64 (.f64 #s(approx (+ (* y z) x) (.f64 z y)) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
cost-diff	0	(-.f64 (/.f64 x y) z)
cost-diff	0	#s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z)))))) (*.f64 y (-.f64 (/.f64 x y) z)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z)))))) (*.f64 y (-.f64 (/.f64 x y) z))))
cost-diff	704	(*.f64 y (-.f64 (/.f64 x y) z))
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
cost-diff	42240	(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))

Rules

14 728×	`lower-fma.f32`
14 714×	`lower-fma.f64`
4 792×	`lower-*.f32`
4 764×	`lower-*.f64`
2 640×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	653
0	123	748
1	253	666
2	595	546
3	1911	519
4	6717	515
0	8441	510

Stop Event

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

Calls

Call 1

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

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

localize429.0ms (3.7%)

Memory

40.3MiB live, 392.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(/.f64 z (sin.f64 y))
accuracy	13.067242251877031	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy	14.316489238767916	(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))
accuracy	36.51148959559286	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
accuracy	4.818058930606754	(.f64 y (fma.f64 y (.f64 z z) (*.f64 z x)))
accuracy	8.924912832459633	(fma.f64 y (.f64 z z) (.f64 z x))
accuracy	31.77511771960029	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 x x #s(approx (- (* (* (* y z) y) z) (* x (* y (neg z)))) (.f64 y (fma.f64 y (.f64 z z) (*.f64 z x)))))))
accuracy	41.584671706393394	(/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 x x #s(approx (- (* (* (* y z) y) z) (* x (* y (neg z)))) (.f64 y (fma.f64 y (.f64 z z) (*.f64 z x))))))
accuracy	0.7247831334760473	(/.f64 #s(literal 1 binary64) (fma.f64 y z x))
accuracy	30.22835802306904	(.f64 (.f64 #s(approx (+ (* y z) x) (.f64 z y)) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
accuracy	30.43727227073389	#s(approx (+ (* y z) x) (*.f64 z y))
accuracy	31.77511771960029	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 #s(approx (+ (* y z) x) (.f64 z y)) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
accuracy	0	#s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z)))))) (*.f64 y (-.f64 (/.f64 x y) z)))
accuracy	0.0078125	(-.f64 (/.f64 x y) z)
accuracy	7.085344836525459	(*.f64 y (-.f64 (/.f64 x y) z))
accuracy	31.77511771960029	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z)))))) (*.f64 y (-.f64 (/.f64 x y) z))))
accuracy	0.09765625	(fma.f64 (cos.f64 y) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
accuracy	0.15625	(/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
accuracy	0.1640625	(*.f64 z (sin.f64 y))
accuracy	3.1294233491078165	(/.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))

Samples

126.0ms	80×	2	valid
121.0ms	138×	0	valid
31.0ms	11×	3	valid
22.0ms	27×	1	valid

Compiler

Compiled 507 to 66 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 260.0ms

ival-mult: 104.0ms (40% of total)

ival-cos: 84.0ms (32.3% of total)

adjust: 23.0ms (8.9% of total)

ival-div: 15.0ms (5.8% of total)

ival-add: 15.0ms (5.8% of total)

ival-sub: 7.0ms (2.7% of total)

ival-sin: 6.0ms (2.3% of total)

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

exact: 1.0ms (0.4% of total)

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

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

series188.0ms (1.6%)

Memory

-29.9MiB live, 134.2MiB allocated

Counts

26 → 828

Calls

Call 1

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

Outputs
#s(alt (* -1 (* z (sin y))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (patch (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (* 2 (cos y))))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (patch (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (+ (* 2 (cos y)) (* x (+ (* 2 (/ (pow (cos y) 2) (* z (sin y)))) (* z (* (sin y) (- (* -1 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 2)))))))))))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (patch (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (+ (* 2 (cos y)) (* x (+ (* 2 (/ (pow (cos y) 2) (* z (sin y)))) (+ (* x (+ (* z (* (sin y) (- (/ (pow (cos y) 3) (* (pow z 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow z 3) (pow (sin y) 3))))))) (* (cos y) (- (* -1 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 2))))))) (* z (* (sin y) (- (* -1 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 2))))))))))))) (taylor 0 x) (#s(alt (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (patch (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) (patch (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))) #<representation binary64>) () ())) ())
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#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 (/ z y) (taylor 0 y) (#s(alt (/.f64 z (sin.f64 y)) (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* 1/6 (* (pow y 2) z))) y) (taylor 0 y) (#s(alt (/.f64 z (sin.f64 y)) (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y) (taylor 0 y) (#s(alt (/.f64 z (sin.f64 y)) (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y) (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

207 calls:

Time	Variable		Point	Expression
53.0ms	x	@	0	(* (+ (* x (cos y)) (* z (sin y))) (+ (* (cos y) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (/ (* z (sin y)) (+ (* x (cos y)) (* z (sin y)))))))
13.0ms	z	@	0	(* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y))))
2.0ms	y	@	inf	(* (+ (* x (cos y)) (* z (sin y))) (+ (* (cos y) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (/ (* z (sin y)) (+ (* x (cos y)) (* z (sin y)))))))
2.0ms	y	@	-inf	(* (+ (* x (cos y)) (* z (sin y))) (+ (* (cos y) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (/ (* z (sin y)) (+ (* x (cos y)) (* z (sin y)))))))
1.0ms	y	@	inf	(* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y))))

simplify334.0ms (2.9%)

Memory

-0.5MiB live, 646.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 514×	`lower-fma.f64`
7 514×	`lower-fma.f32`
6 906×	`lower-*.f64`
6 906×	`lower-*.f32`
3 330×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1578	13367
1	5467	12628
0	8511	12101

Stop Event

1×	iter limit
1×	node limit

Counts

828 → 802

Calls

Call 1

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

Outputs
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (* 2 (cos y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (+ (* 2 (cos y)) (* x (+ (* 2 (/ (pow (cos y) 2) (* z (sin y)))) (* z (* (sin y) (- (* -1 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 2))))))))))))
(fma.f64 x (+.f64 (cos.f64 y) (.f64 x (fma.f64 (.f64 z (sin.f64 y)) (-.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z (sin.f64 y)))))) (*.f64 z (neg.f64 (sin.f64 y))))
(+ (* -1 (* z (sin y))) (* x (+ (* -1 (cos y)) (+ (* 2 (cos y)) (* x (+ (* 2 (/ (pow (cos y) 2) (* z (sin y)))) (+ (* x (+ (* z (* (sin y) (- (/ (pow (cos y) 3) (* (pow z 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow z 3) (pow (sin y) 3))))))) (* (cos y) (- (* -1 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 2))))))) (* z (* (sin y) (- (* -1 (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* (pow z 2) (pow (sin y) 2)))))))))))))
(fma.f64 x (+.f64 (cos.f64 y) (.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 z (sin.f64 y))) (fma.f64 x (fma.f64 (.f64 z (sin.f64 y)) (+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (.f64 z (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (.f64 z (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (.f64 (cos.f64 y) (-.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))))))) (*.f64 z (neg.f64 (sin.f64 y))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (+ (* -2 (/ (* z (sin y)) x)) (/ (* z (sin y)) x))))
(*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (+ (* -2 (/ (* z (sin y)) x)) (+ (* -2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (/ (* z (sin y)) x) (/ (* (cos y) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 2)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 2))))) (pow x 2)))))))
(.f64 x (+.f64 (cos.f64 y) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (cos.f64 y) (.f64 x x))) (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 (.f64 (cos.f64 y) (fma.f64 (.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 x x)))))))
(* x (+ (cos y) (+ (* -2 (/ (* z (sin y)) x)) (+ (* -2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (/ (* z (sin y)) x) (+ (/ (* z (* (sin y) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 2)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 2)))))) (pow x 3)) (+ (/ (* (cos y) (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 3)))) (pow x 3)) (/ (* (cos y) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 2)) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 2))))) (pow x 2)))))))))
(.f64 x (+.f64 (cos.f64 y) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (cos.f64 y) (.f64 x x))) (fma.f64 z (/.f64 (sin.f64 y) x) (fma.f64 z (/.f64 (.f64 (sin.f64 y) (fma.f64 (.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (.f64 x (.f64 x x))) (fma.f64 (cos.f64 y) (/.f64 (-.f64 (.f64 (neg.f64 (.f64 z (.f64 z z))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 z (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (.f64 x (.f64 x x))) (/.f64 (.f64 (cos.f64 y) (fma.f64 (.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 x x)))))))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (* (cos y) (- (/ (* z (sin y)) (cos y)) (* -1 (/ (* z (sin y)) (cos y)))))) (* z (sin y))) x)))))
(.f64 (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (fma.f64 z (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (.f64 z (sin.f64 y)) (cos.f64 y))) (*.f64 z (sin.f64 y))) x)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (* (cos y) (- (/ (* z (sin y)) (cos y)) (* -1 (/ (* z (sin y)) (cos y)))))) (+ (* -1 (/ (+ (* -2 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* z (* (sin y) (- (/ (* z (sin y)) (cos y)) (* -1 (/ (* z (sin y)) (cos y))))))) x)) (* z (sin y)))) x)))))
(.f64 (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (-.f64 (-.f64 (.f64 z (sin.f64 y)) (/.f64 (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 z (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (.f64 z (sin.f64 y)) (cos.f64 y))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (cos.f64 y)))) x)) (.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) (cos.f64 y))))) x)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (+ (* -1 (* (cos y) (- (/ (* z (sin y)) (cos y)) (* -1 (/ (* z (sin y)) (cos y)))))) (+ (* -1 (/ (+ (* -2 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (+ (* -2 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) (* 2 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2)))) x)) (* z (* (sin y) (- (/ (* z (sin y)) (cos y)) (* -1 (/ (* z (sin y)) (cos y)))))))) x)) (* z (sin y)))) x)))))
(.f64 (-.f64 (neg.f64 (cos.f64 y)) (/.f64 (-.f64 (-.f64 (.f64 z (sin.f64 y)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (cos.f64 y)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 z (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (.f64 z (sin.f64 y)) (cos.f64 y))) (/.f64 #s(literal 0 binary64) x))) x)) (.f64 (cos.f64 y) (fma.f64 z (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (.f64 z (sin.f64 y)) (cos.f64 y))))) x)) (neg.f64 x))
x
(+ x (* y (+ z (* -2 z))))
(-.f64 x (*.f64 z y))
(+ x (* y (+ z (+ (* -2 z) (* y (+ (* -2 (/ (pow z 2) x)) (+ (* -1/2 x) (* x (- (/ (pow z 2) (pow x 2)) (* -1 (/ (pow z 2) (pow x 2))))))))))))
(fma.f64 y (+.f64 (neg.f64 z) (.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) x) (fma.f64 x #s(literal -1/2 binary64) (.f64 x (+.f64 (/.f64 (.f64 z z) (.f64 x x)) (/.f64 (.f64 z z) (*.f64 x x)))))))) x)
(+ x (* y (+ z (+ (* -2 z) (* y (+ (* -2 (/ (pow z 2) x)) (+ (* -1/2 x) (+ (* x (- (/ (pow z 2) (pow x 2)) (* -1 (/ (pow z 2) (pow x 2))))) (* y (+ z (+ (* -1/6 z) (+ (* x (- (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1/2 (/ z x))) (+ (* -1/3 (/ z x)) (+ (* 1/2 (/ z x)) (/ (pow z 3) (pow x 3)))))) (* z (- (/ (pow z 2) (pow x 2)) (* -1 (/ (pow z 2) (pow x 2)))))))))))))))))
(fma.f64 y (+.f64 (neg.f64 z) (.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) x) (fma.f64 x #s(literal -1/2 binary64) (fma.f64 y (+.f64 z (fma.f64 z #s(literal -1/6 binary64) (fma.f64 z (+.f64 (/.f64 (.f64 z z) (.f64 x x)) (/.f64 (.f64 z z) (.f64 x x))) (.f64 x (-.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z x)) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (fma.f64 (/.f64 z x) #s(literal -1/3 binary64) (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))))))))) (.f64 x (+.f64 (/.f64 (.f64 z z) (.f64 x x)) (/.f64 (.f64 z z) (*.f64 x x))))))))) x)
(* (+ (* x (cos y)) (* z (sin y))) (- (/ (* x (cos y)) (+ (* x (cos y)) (* z (sin y)))) (/ (* z (sin y)) (+ (* x (cos y)) (* z (sin y))))))
(.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (-.f64 (/.f64 (.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (/.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(* (+ (* x (cos y)) (* z (sin y))) (- (/ (* x (cos y)) (+ (* x (cos y)) (* z (sin y)))) (/ (* z (sin y)) (+ (* x (cos y)) (* z (sin y))))))
(.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (-.f64 (/.f64 (.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (/.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(* (+ (* x (cos y)) (* z (sin y))) (- (/ (* x (cos y)) (+ (* x (cos y)) (* z (sin y)))) (/ (* z (sin y)) (+ (* x (cos y)) (* z (sin y))))))
(.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (-.f64 (/.f64 (.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (/.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(* (+ (* x (cos y)) (* z (sin y))) (- (/ (* x (cos y)) (+ (* x (cos y)) (* z (sin y)))) (/ (* z (sin y)) (+ (* x (cos y)) (* z (sin y))))))
(.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (-.f64 (/.f64 (.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (/.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(* (+ (* x (cos y)) (* z (sin y))) (- (/ (* x (cos y)) (+ (* x (cos y)) (* z (sin y)))) (/ (* z (sin y)) (+ (* x (cos y)) (* z (sin y))))))
(.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (-.f64 (/.f64 (.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (/.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(* (+ (* x (cos y)) (* z (sin y))) (- (/ (* x (cos y)) (+ (* x (cos y)) (* z (sin y)))) (/ (* z (sin y)) (+ (* x (cos y)) (* z (sin y))))))
(.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (-.f64 (/.f64 (.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (/.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(* (+ (* x (cos y)) (* z (sin y))) (- (/ (* x (cos y)) (+ (* x (cos y)) (* z (sin y)))) (/ (* z (sin y)) (+ (* x (cos y)) (* z (sin y))))))
(.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (-.f64 (/.f64 (.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (/.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(* (+ (* x (cos y)) (* z (sin y))) (- (/ (* x (cos y)) (+ (* x (cos y)) (* z (sin y)))) (/ (* z (sin y)) (+ (* x (cos y)) (* z (sin y))))))
(.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (-.f64 (/.f64 (.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (/.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (+ (sin y) (* -2 (sin y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (+ (sin y) (+ (* -2 (sin y)) (* z (+ (* -2 (/ (pow (sin y) 2) (* x (cos y)))) (* x (* (cos y) (- (/ (pow (sin y) 2) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (pow (sin y) 2) (* (pow x 2) (pow (cos y) 2)))))))))))))
(fma.f64 z (+.f64 (neg.f64 (sin.f64 y)) (.f64 z (fma.f64 (.f64 x (cos.f64 y)) (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 x x))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 x x)))) (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 x (cos.f64 y)))))) (*.f64 x (cos.f64 y)))
(+ (* x (cos y)) (* z (+ (sin y) (+ (* -2 (sin y)) (* z (+ (* -2 (/ (pow (sin y) 2) (* x (cos y)))) (+ (* x (* (cos y) (- (/ (pow (sin y) 2) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (pow (sin y) 2) (* (pow x 2) (pow (cos y) 2))))))) (* z (+ (* x (* (cos y) (- (* -1 (/ (pow (sin y) 3) (* (pow x 3) (pow (cos y) 3)))) (/ (pow (sin y) 3) (* (pow x 3) (pow (cos y) 3)))))) (* (sin y) (- (/ (pow (sin y) 2) (* (pow x 2) (pow (cos y) 2))) (* -1 (/ (pow (sin y) 2) (* (pow x 2) (pow (cos y) 2)))))))))))))))
(fma.f64 z (+.f64 (neg.f64 (sin.f64 y)) (.f64 z (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 x (cos.f64 y))) (fma.f64 z (fma.f64 (sin.f64 y) (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 x x))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 x x)))) (.f64 x (.f64 (cos.f64 y) (-.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 x (.f64 x x))))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 x (.f64 x x)))))))) (.f64 (.f64 x (cos.f64 y)) (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 x x))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 x x))))))))) (*.f64 x (cos.f64 y)))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(* z (+ (* -1 (sin y)) (+ (* -1 (/ (* x (cos y)) z)) (* 2 (/ (* x (cos y)) z)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(* x (- (+ (* -1 (/ (* 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 (/ (* (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 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(* -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)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
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(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -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)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
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(pow y 2)
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(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
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(+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) (sin.f64 y)) (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z))) (/.f64 (.f64 x (cos.f64 y)) (sin.f64 y))) z)) #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (/ (* y (pow z 2)) (pow x 3)) (/ z (pow x 2)))) (/ 1 x))
(fma.f64 y (-.f64 (/.f64 (.f64 y (.f64 z z)) (.f64 x (.f64 x x))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow x 4))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(fma.f64 y (fma.f64 y (fma.f64 (neg.f64 y) (/.f64 (.f64 z (.f64 z z)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 z z) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 z (.f64 x x)))) (/.f64 #s(literal 1 binary64) x))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/ (+ (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (.f64 y (.f64 z z)))) y)
(/ (- (+ (/ 1 z) (/ (pow x 2) (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2)))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 (.f64 x x) (.f64 (.f64 z (.f64 z z)) (.f64 y y))) (/.f64 x (.f64 y (*.f64 z z))))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (/ 1 z)) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 3)))) (/ x (* y (pow z 2))))) y)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (pow.f64 z #s(literal 4 binary64))))) (-.f64 (/.f64 x (.f64 y (.f64 z z))) (/.f64 (.f64 x x) (.f64 (.f64 z (.f64 z z)) (.f64 y y))))) y)
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (/ (- (/ x (* y (pow z 2))) (/ 1 z)) y))
(neg.f64 (/.f64 (-.f64 (/.f64 x (.f64 y (.f64 z z))) (/.f64 #s(literal 1 binary64) z)) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 3))) (/ x (pow z 2))) y)) (/ 1 z)) y))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 y (.f64 z (.f64 z z)))) (/.f64 x (*.f64 z z))) y)) (/.f64 #s(literal 1 binary64) z)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 4))) (/ (pow x 2) (pow z 3))) y)) (/ x (pow z 2))) y)) (/ 1 z)) y))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (pow.f64 z #s(literal 4 binary64)))) (/.f64 (.f64 x x) (.f64 z (.f64 z z)))) y)) (/.f64 x (*.f64 z z))) y)) (/.f64 #s(literal 1 binary64) z)) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (/ (* (pow y 2) z) (pow x 3)) (/ y (pow x 2)))) (/ 1 x))
(fma.f64 z (-.f64 (/.f64 (.f64 z (.f64 y y)) (.f64 x (.f64 x x))) (/.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(+ (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow x 4))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x))
(fma.f64 z (fma.f64 z (fma.f64 (.f64 y (.f64 y y)) (neg.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 y y) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 y (.f64 x x)))) (/.f64 #s(literal 1 binary64) x))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/ (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 z (.f64 y y)))) z)
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z))) z)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 (.f64 x x) (.f64 (.f64 z z) (.f64 y (.f64 y y)))) (/.f64 x (.f64 z (*.f64 y y))))) z)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (/ x (* (pow y 2) z)))) z)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 z (.f64 z z)) (pow.f64 y #s(literal 4 binary64))))) (-.f64 (/.f64 x (.f64 z (.f64 y y))) (/.f64 (.f64 x x) (.f64 (.f64 z z) (.f64 y (.f64 y y)))))) z)
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (/ (- (/ x (* (pow y 2) z)) (/ 1 y)) z))
(neg.f64 (/.f64 (-.f64 (/.f64 x (.f64 z (.f64 y y))) (/.f64 #s(literal 1 binary64) y)) z))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* (pow y 3) z)) (/ x (pow y 2))) z)) (/ 1 y)) z))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (.f64 z (.f64 y (.f64 y y)))) (/.f64 x (*.f64 y y))) z)) (/.f64 #s(literal 1 binary64) y)) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* (pow y 4) z)) (/ (pow x 2) (pow y 3))) z)) (/ x (pow y 2))) z)) (/ 1 y)) z))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (pow.f64 y #s(literal 4 binary64)))) (/.f64 (.f64 x x) (.f64 y (.f64 y y))))) z) (/.f64 x (*.f64 y y))) z)) (/.f64 #s(literal 1 binary64) y)) z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 (* y z)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) (/.f64 x (.f64 (.f64 z z) (.f64 y y))))
(+ (* x (- (/ x (* (pow y 3) (pow z 3))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(fma.f64 x (-.f64 (/.f64 x (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 4)))) (/ 1 (* (pow y 3) (pow z 3))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(fma.f64 x (-.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (/ (* y z) x))) x)
(/.f64 (fma.f64 y (/.f64 (neg.f64 z) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x)) x)
(/.f64 (-.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 z z) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (.f64 z y) x)) x)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (/ (* y z) x))) x)
(/.f64 (-.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (neg.f64 (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (/.f64 (.f64 z (neg.f64 z)) (.f64 x x)) (/.f64 (.f64 z y) x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ (* y z) x) 1) x))
(neg.f64 (/.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 2)) x) (* y z)) x)) 1) x))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 y y) (/.f64 (.f64 z z) x)) (.f64 z y)) x)) #s(literal -1 binary64)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 3)) x) (* (pow y 2) (pow z 2))) x)) (* y z)) x)) 1) x))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 z (.f64 z z)) x) (.f64 (.f64 z z) (.f64 y (neg.f64 y)))) x)) (.f64 z y)) x)) #s(literal -1 binary64)) x))
(* x (* y z))
(.f64 x (.f64 z y))
(* y (+ (* x z) (* y (pow z 2))))
(.f64 y (fma.f64 z x (.f64 y (*.f64 z z))))
(* y (+ (* x z) (* y (pow z 2))))
(.f64 y (fma.f64 z x (.f64 y (*.f64 z z))))
(* y (+ (* x z) (* y (pow z 2))))
(.f64 y (fma.f64 z x (.f64 y (*.f64 z z))))
(* (pow y 2) (pow z 2))
(.f64 (.f64 z z) (*.f64 y y))
(* (pow y 2) (+ (/ (* x z) y) (pow z 2)))
(.f64 (.f64 y y) (fma.f64 z z (/.f64 (*.f64 z x) y)))
(* (pow y 2) (+ (/ (* x z) y) (pow z 2)))
(.f64 (.f64 y y) (fma.f64 z z (/.f64 (*.f64 z x) y)))
(* (pow y 2) (+ (/ (* x z) y) (pow z 2)))
(.f64 (.f64 y y) (fma.f64 z z (/.f64 (*.f64 z x) y)))
(* (pow y 2) (pow z 2))
(.f64 (.f64 z z) (*.f64 y y))
(* (pow y 2) (+ (/ (* x z) y) (pow z 2)))
(.f64 (.f64 y y) (fma.f64 z z (/.f64 (*.f64 z x) y)))
(* (pow y 2) (+ (/ (* x z) y) (pow z 2)))
(.f64 (.f64 y y) (fma.f64 z z (/.f64 (*.f64 z x) y)))
(* (pow y 2) (+ (/ (* x z) y) (pow z 2)))
(.f64 (.f64 y y) (fma.f64 z z (/.f64 (*.f64 z x) y)))
(* x (* y z))
(.f64 x (.f64 z y))
(* z (+ (* x y) (* (pow y 2) z)))
(.f64 z (fma.f64 z (.f64 y y) (*.f64 y x)))
(* z (+ (* x y) (* (pow y 2) z)))
(.f64 z (fma.f64 z (.f64 y y) (*.f64 y x)))
(* z (+ (* x y) (* (pow y 2) z)))
(.f64 z (fma.f64 z (.f64 y y) (*.f64 y x)))
(* (pow y 2) (pow z 2))
(.f64 (.f64 z z) (*.f64 y y))
(* (pow z 2) (+ (/ (* x y) z) (pow y 2)))
(.f64 (.f64 z z) (fma.f64 x (/.f64 y z) (*.f64 y y)))
(* (pow z 2) (+ (/ (* x y) z) (pow y 2)))
(.f64 (.f64 z z) (fma.f64 x (/.f64 y z) (*.f64 y y)))
(* (pow z 2) (+ (/ (* x y) z) (pow y 2)))
(.f64 (.f64 z z) (fma.f64 x (/.f64 y z) (*.f64 y y)))
(* (pow y 2) (pow z 2))
(.f64 (.f64 z z) (*.f64 y y))
(* (pow z 2) (+ (/ (* x y) z) (pow y 2)))
(.f64 (.f64 z z) (fma.f64 x (/.f64 y z) (*.f64 y y)))
(* (pow z 2) (+ (/ (* x y) z) (pow y 2)))
(.f64 (.f64 z z) (fma.f64 x (/.f64 y z) (*.f64 y y)))
(* (pow z 2) (+ (/ (* x y) z) (pow y 2)))
(.f64 (.f64 z z) (fma.f64 x (/.f64 y z) (*.f64 y y)))
(* (pow y 2) (pow z 2))
(.f64 (.f64 z z) (*.f64 y y))
(+ (* x (* y z)) (* (pow y 2) (pow z 2)))
(fma.f64 x (.f64 z y) (.f64 (.f64 z z) (.f64 y y)))
(+ (* x (* y z)) (* (pow y 2) (pow z 2)))
(fma.f64 x (.f64 z y) (.f64 (.f64 z z) (.f64 y y)))
(+ (* x (* y z)) (* (pow y 2) (pow z 2)))
(fma.f64 x (.f64 z y) (.f64 (.f64 z z) (.f64 y y)))
(* x (* y z))
(.f64 x (.f64 z y))
(* x (+ (* y z) (/ (* (pow y 2) (pow z 2)) x)))
(.f64 x (fma.f64 (.f64 y y) (/.f64 (.f64 z z) x) (.f64 z y)))
(* x (+ (* y z) (/ (* (pow y 2) (pow z 2)) x)))
(.f64 x (fma.f64 (.f64 y y) (/.f64 (.f64 z z) x) (.f64 z y)))
(* x (+ (* y z) (/ (* (pow y 2) (pow z 2)) x)))
(.f64 x (fma.f64 (.f64 y y) (/.f64 (.f64 z z) x) (.f64 z y)))
(* x (* y z))
(.f64 x (.f64 z y))
(* -1 (* x (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (pow z 2)) x)))))
(.f64 (neg.f64 x) (neg.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 z z) x) (.f64 z y))))
(* -1 (* x (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (pow z 2)) x)))))
(.f64 (neg.f64 x) (neg.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 z z) x) (.f64 z y))))
(* -1 (* x (+ (* -1 (* y z)) (* -1 (/ (* (pow y 2) (pow z 2)) x)))))
(.f64 (neg.f64 x) (neg.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 z z) x) (.f64 z y))))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z y)
(/.f64 z y)
(/ (+ z (* 1/6 (* (pow y 2) z))) y)
(/.f64 (fma.f64 (.f64 z (.f64 y y)) #s(literal 1/6 binary64) z) y)
(/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 z #s(literal 7/360 binary64)) (.f64 z #s(literal 1/6 binary64))) z) y)
(/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y (neg.f64 y)) (fma.f64 z #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 z #s(literal -7/360 binary64)) (.f64 z #s(literal 1/720 binary64)))) (.f64 z #s(literal 7/360 binary64))) (*.f64 z #s(literal 1/6 binary64))) z) y)
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))

rewrite437.0ms (3.7%)

Memory

1.4MiB live, 795.9MiB allocated

Rules

7 804×	`lower-*.f32`
7 776×	`lower-*.f64`
6 242×	`lower-fma.f32`
6 228×	`lower-fma.f64`
4 166×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	506
0	123	504
1	466	350
2	3889	350
0	10971	350

Stop Event

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

Counts

26 → 1 002

Calls

Call 1

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

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

eval313.0ms (2.7%)

Memory: 16.7MiB live, 559.0MiB allocated
Compiler: Compiled 104 248 to 5 163 computations (95% saved)

prune701.0ms (6%)

Memory

21.8MiB live, 417.4MiB allocated

Pruning

62 alts after pruning (55 fresh and 7 done)

	Pruned	Kept	Total
New	2 029	20	2 049
Fresh	9	35	44
Picked	4	1	5
Done	0	6	6
Total	2 042	62	2 104

Accuracy

100.0%

Counts

2 104 → 62

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.8%	(fma.f64 (.f64 x (.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
✓	99.7%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	75.8%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (neg.f64 (*.f64 z (sin.f64 y))))
	31.1%	(/.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	50.6%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y)))
	48.8%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))))
	48.4%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 z #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y))))
	48.5%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (*.f64 y z)))
	45.8%	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 z)) z (.f64 x (.f64 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 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
	99.6%	(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (/.f64 (.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
	73.5%	(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (cos.f64 y) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))))))
✓	99.7%	(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
	99.5%	(.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	30.6%	(.f64 #s(approx (+ ( (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
	49.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal 1/6 binary64))) (neg.f64 z)) x))
	48.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x))
	11.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 x x #s(approx (- (* (* (* y z) y) z) (* x (* y (neg z)))) (.f64 y #s(approx (+ ( y (* z z)) (* z x)) (.f64 y (.f64 z z))))))))
	14.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( y z) x) (.f64 y z)) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
	16.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))))
	17.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))))))
	50.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 z) x))))
✓	50.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	23.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 y (neg.f64 z) x) (.f64 (fma.f64 y (.f64 z (fma.f64 y z x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z (fma.f64 y z x)) (.f64 x x))))))
	49.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 y (neg.f64 z) x) (.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
	17.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (-.f64 x (.f64 y z)) (.f64 #s(approx (+ ( y z) x) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
	28.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( y z) x) (fma.f64 x (/.f64 (*.f64 z y) x) x)))))
	27.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( y z) x) (*.f64 z (+.f64 y (/.f64 x z)))))))
	18.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) #s(approx (/ 1 (+ ( y z) x)) (/.f64 (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)) x))))
	3.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 #s(approx (+ (* y z) x) (.f64 z y)) (-.f64 x (.f64 y z))) #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) x))))
	18.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* y z) x) (- x (* y z))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
	88.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y))))
	88.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
	93.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))))
	57.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓	42.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
	18.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y)))))
	18.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 (.f64 y y) (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)))))
	18.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z #s(approx (sin y) (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))))
	18.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 z (.f64 y y)) #s(literal 1/120 binary64) (*.f64 z #s(literal -1/6 binary64))) z)))))
	18.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 z (*.f64 y y)) z)))))
✓	18.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))
	9.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z)))))) (/.f64 (.f64 (-.f64 (/.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) y) (+.f64 z (/.f64 x y)))))
	45.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z)))))) (*.f64 z (-.f64 (/.f64 x z) y))))
	23.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z)))))) (.f64 y (/.f64 (fma.f64 (.f64 z (neg.f64 z)) (/.f64 y x) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 y x))))))
	20.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z)))))) (.f64 y (/.f64 (fma.f64 (.f64 z (neg.f64 z)) y (.f64 (+.f64 #s(literal 0 binary64) z) x)) (.f64 (+.f64 #s(literal 0 binary64) z) y)))))
	4.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z)))))) (.f64 y (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))) (fma.f64 z (+.f64 z (/.f64 x y)) (/.f64 (.f64 x x) (*.f64 y y)))))))
	9.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z)))))) (.f64 y (.f64 (-.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z (/.f64 x y)))))))
	24.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z)))))) (*.f64 y #s(approx (- (/ x y) z) (/.f64 x y)))))
	30.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* x x) (- (* (* (* y z) y) z) (* x (* y (neg z)))))) (.f64 y #s(approx (- (/ x y) z) (.f64 z (+.f64 (/.f64 x (*.f64 z y)) #s(literal -1 binary64)))))))
	18.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/6 binary64) (.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) (neg.f64 z)))))
	18.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (neg (* z (sin y))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
	27.5%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (neg.f64 (/.f64 z (sin.f64 y))) #s(literal 1/2 binary64) (.f64 (neg.f64 (/.f64 z (sin.f64 y))) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
	53.1%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 x (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))))
	57.1%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	53.2%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (-.f64 (/.f64 (.f64 (.f64 x (cos.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y))))
✓	27.6%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
	27.5%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))))
	28.0%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 (neg.f64 z) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
	93.0%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x (fma.f64 z (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (sin.f64 y) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))))
	18.0%	#s(approx (* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y))))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y (neg.f64 y)) (+.f64 (fma.f64 z #s(literal 2/45 binary64) (.f64 #s(literal 1/6 binary64) (.f64 z #s(literal -1/6 binary64)))) (.f64 #s(literal -1/120 binary64) z)) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
	22.0%	#s(approx (* (+ (* x (cos y)) (* z (sin y))) (+ (* (cos y) (/ x (+ (* x (cos y)) (* z (sin y))))) (neg (/ (* z (sin y)) (+ (* x (cos y)) (* z (sin y))))))) (fma.f64 y (+.f64 (neg.f64 z) (.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) x) (fma.f64 x #s(literal -1/2 binary64) (.f64 x (+.f64 (/.f64 (.f64 z z) (.f64 x x)) (/.f64 (.f64 z z) (*.f64 x x)))))))) x))

Compiler

Compiled 3 899 to 1 186 computations (69.6% saved)

regimes188.0ms (1.6%)

Memory

-49.5MiB live, 97.4MiB allocated

Counts

103 → 1

Calls

Call 1

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

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

Calls

4 calls:

54.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
45.0ms	y
28.0ms	z
28.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`z`
99.7%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes122.0ms (1%)

Memory

32.4MiB live, 112.8MiB allocated

Counts

64 → 1

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
39.0ms	y
18.0ms	z
18.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	1	`z`
99.7%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes125.0ms (1.1%)

Memory

-9.2MiB live, 106.5MiB allocated

Counts

63 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

35.0ms	z
29.0ms	x
18.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
18.0ms	y

Results

Accuracy	Segments	Branch
87.2%	3	`x`
75.8%	1	`y`
88.3%	3	`z`
78.3%	2	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes270.0ms (2.3%)

Memory

-24.7MiB live, 94.9MiB allocated

Counts

58 → 5

Calls

Call 1

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

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

Calls

4 calls:

86.0ms	z
85.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
16.0ms	x
16.0ms	y

Results

Accuracy	Segments	Branch
79.2%	5	`y`
61.5%	3	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
73.3%	3	`x`
75.3%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes120.0ms (1%)

Memory

19.6MiB live, 58.2MiB allocated

Counts

57 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

100.0ms	z
16.0ms	y

Results

Accuracy	Segments	Branch
69.2%	3	`z`
74.0%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes74.0ms (0.6%)

Memory

1.3MiB live, 155.3MiB allocated

Counts

56 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
17.0ms	y
17.0ms	z
17.0ms	x

Results

Accuracy	Segments	Branch
50.4%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
50.4%	1	`z`
50.4%	1	`x`
50.4%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0%)

Memory

17.6MiB live, 17.6MiB 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))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch38.0ms (0.3%)

Memory

-6.0MiB live, 38.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.285933383205045e-106	7.788290118180153e-103
21.0ms	-4.718897607998763e-24	-4.596771281882874e-25

Samples

27.0ms

224×

valid

Compiler

Compiled 323 to 224 computations (30.7% saved)

Precisions

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

ival-sin: 13.0ms (59.4% of total)

ival-cos: 5.0ms (22.8% of total)

ival-mult: 3.0ms (13.7% of total)

ival-sub: 1.0ms (4.6% of total)

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

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

bsearch116.0ms (1%)

Memory

6.2MiB live, 166.8MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
63.0ms	1.0565844211770345e+204	6.388062790656492e+209
10.0ms	0.14259630785065075	0.7525858135073695
12.0ms	-4044879064.7762423	-1174541351.202812
27.0ms	-3.7716057447683085e+87	-1.3835581599522441e+72

Samples

94.0ms

480×

valid

Compiler

Compiled 970 to 602 computations (37.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-cos: 14.0ms (38.9% of total)

ival-sin: 13.0ms (36.1% of total)

ival-mult: 6.0ms (16.7% of total)

ival-sub: 2.0ms (5.6% of total)

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

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

bsearch4.0ms (0%)

Memory

-31.1MiB live, 8.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.14259630785065075	0.7525858135073695
2.0ms	-4044879064.7762423	-1174541351.202812

Compiler

Compiled 609 to 355 computations (41.7% saved)

simplify11.0ms (0.1%)

Memory

29.1MiB live, 29.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	296
1	104	296
2	135	296
3	149	296
4	157	296
5	159	296

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -5444517870735015/1361129467683753853853498429727072845824 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 6455624695217271/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -3599999999999999976583918874180857455926005425892474772475976178628229595136 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 y #s(literal -1200000000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 5764607523034235/9007199254740992 binary64)) (-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))) (if (<=.f64 y #s(literal 40000000000000000664641418914200533611441070479742655940512259981092156274505420053029805147706278502994488164352383797275192155971117346792719705994867342108050920496801818774858872487073130424667530592256 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))))))
(if (<=.f64 y #s(literal -1200000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 5764607523034235/9007199254740992 binary64)) (-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))

Outputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -5444517870735015/1361129467683753853853498429727072845824 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 6455624695217271/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -5444517870735015/1361129467683753853853498429727072845824 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 6455624695217271/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -3599999999999999976583918874180857455926005425892474772475976178628229595136 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 y #s(literal -1200000000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 5764607523034235/9007199254740992 binary64)) (-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))) (if (<=.f64 y #s(literal 40000000000000000664641418914200533611441070479742655940512259981092156274505420053029805147706278502994488164352383797275192155971117346792719705994867342108050920496801818774858872487073130424667530592256 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))))))
(if (<=.f64 y #s(literal -3599999999999999976583918874180857455926005425892474772475976178628229595136 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 y #s(literal -1200000000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 5764607523034235/9007199254740992 binary64)) (-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))) (if (<=.f64 y #s(literal 40000000000000000664641418914200533611441070479742655940512259981092156274505420053029805147706278502994488164352383797275192155971117346792719705994867342108050920496801818774858872487073130424667530592256 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (- ( x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))))))
(if (<=.f64 y #s(literal -1200000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 5764607523034235/9007199254740992 binary64)) (-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -1200000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 5764607523034235/9007199254740992 binary64)) (-.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 #s(approx (* z (sin y)) (*.f64 y z))))

soundness961.0ms (8.2%)

Memory

-9.4MiB live, 619.6MiB allocated

Rules

12 044×	`lower-fma.f64`
12 044×	`lower-fma.f32`
10 986×	`lower-fma.f64`
10 986×	`lower-fma.f32`
9 146×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	481	5458
1	1589	5301
2	5698	5233
0	8895	4968
0	8	19
0	13	19
1	33	19
2	210	19
3	1964	19
0	8379	19
0	97	624
1	292	619
2	837	613
3	2075	607
4	3601	607
5	6258	607
0	8452	586

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 340 to 147 computations (56.8% saved)

preprocess56.0ms (0.5%)

Memory: -5.9MiB live, 114.7MiB allocated
Compiler: Compiled 428 to 128 computations (70.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (10.7%)

explain113.0ms (1%)

preprocess81.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.1%)

localize31.0ms (0.3%)

series8.0ms (0.1%)

simplify283.0ms (2.4%)

rewrite624.0ms (5.3%)

eval42.0ms (0.4%)

prune127.0ms (1.1%)

simplify315.0ms (2.7%)

localize263.0ms (2.2%)

series57.0ms (0.5%)

simplify386.0ms (3.3%)

rewrite418.0ms (3.6%)

eval214.0ms (1.8%)

prune397.0ms (3.4%)

simplify217.0ms (1.9%)

localize308.0ms (2.6%)

series102.0ms (0.9%)

simplify402.0ms (3.4%)

rewrite383.0ms (3.3%)

eval319.0ms (2.7%)

prune484.0ms (4.1%)

simplify356.0ms (3%)

localize429.0ms (3.7%)

series188.0ms (1.6%)

simplify334.0ms (2.9%)

rewrite437.0ms (3.7%)

eval313.0ms (2.7%)

prune701.0ms (6%)

regimes188.0ms (1.6%)

regimes122.0ms (1%)

regimes125.0ms (1.1%)

regimes270.0ms (2.3%)

regimes120.0ms (1%)

regimes74.0ms (0.6%)

regimes6.0ms (0%)

bsearch38.0ms (0.3%)

bsearch116.0ms (1%)

bsearch4.0ms (0%)

simplify11.0ms (0.1%)

soundness961.0ms (8.2%)

preprocess56.0ms (0.5%)

end0.0ms (0%)

Profiling

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