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

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (12.1%)

Memory

40.5MiB live, 1 483.0MiB allocated

Samples

956.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 651.0ms

ival-cos: 262.0ms (40.3% of total)

ival-sin: 189.0ms (29% of total)

ival-mult: 152.0ms (23.4% of total)

ival-sub: 37.0ms (5.7% of total)

ival-true: 7.0ms (1.1% of total)

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

Bogosity

explain139.0ms (1.3%)

Memory

13.7MiB live, 247.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

90.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-cos: 47.0ms (68.8% of total)

ival-sin: 11.0ms (16.1% of total)

ival-mult: 7.0ms (10.3% of total)

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

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

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

preprocess50.0ms (0.5%)

Memory

11.1MiB live, 50.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify38.0ms (0.4%)

Memory

-66.6MiB live, 19.3MiB 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)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)

localize34.0ms (0.3%)

Memory

21.1MiB live, 58.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.01171875	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.109375	(*.f64 x (cos.f64 y))
accuracy	0.1171875	(*.f64 z (sin.f64 y))

Samples

26.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 6.0ms (36.1% of total)

ival-sin: 5.0ms (30.1% of total)

ival-mult: 4.0ms (24.1% of total)

ival-sub: 1.0ms (6% of total)

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

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

series8.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB 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)))

simplify160.0ms (1.5%)

Memory

-6.3MiB live, 153.1MiB 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)))
(*.f64 (neg.f64 z) (sin.f64 y))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 (-.f64 (.f64 (.f64 x y) #s(literal -1/2 binary64)) z) y x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(- (* x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (- (/ (* x (cos y)) z) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* z (- (/ (* x (cos y)) z) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* z (- (/ (* x (cos y)) z) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
x
(+ x (* -1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64))) (.f64 y y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) z)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) z) y)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(.f64 (fma.f64 (.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)

rewrite221.0ms (2.1%)

Memory

-19.9MiB live, 254.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 231

Calls

Call 1

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

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

eval78.0ms (0.7%)

Memory: 1.8MiB live, 74.1MiB allocated
Compiler: Compiled 15 516 to 719 computations (95.4% saved)

prune117.0ms (1.1%)

Memory

14.7MiB live, 137.5MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

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

Accuracy

100.0%

Counts

326 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.7%	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
▶	56.7%	(fma.f64 (.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
▶	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	67.7%	(fma.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
	42.8%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
	24.1%	(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z)))) (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z))) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))) #s(literal 2 binary64)))
	20.7%	(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z))) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z)))) (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
	74.6%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	53.7%	(-.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64))) (.f64 y y) x)) (*.f64 z (sin.f64 y)))
	42.8%	(.f64 (fma.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
	51.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
	51.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 x y) #s(literal -1/2 binary64)) z) y x))
▶	52.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
▶	39.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	62.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 1 092 to 450 computations (58.8% saved)

simplify190.0ms (1.8%)

Memory

4.9MiB live, 123.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

8 626×	`lower-fma.f32`
8 618×	`lower-fma.f64`
2 872×	`lower-*.f32`
2 854×	`lower-*.f64`
1 566×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	344
0	69	338
1	133	337
2	306	333
3	1153	329
4	3763	328
5	6843	328
0	8182	318

Stop Event

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

Calls

Call 1

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

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

localize291.0ms (2.8%)

Memory

-2.6MiB live, 464.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.34272516425291405	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	7.719956898401872	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))))
accuracy	13.022456588453757	(/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
accuracy	15.564141523920249	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	0.24609375	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
accuracy	7.576133309987632	(.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
accuracy	15.564141523920249	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	17.489976672039997	(fma.f64 (.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
accuracy	0	(sin.f64 y)
accuracy	0	(neg.f64 z)
accuracy	0.1171875	(*.f64 (neg.f64 z) (sin.f64 y))
accuracy	38.9155842236215	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0	(*.f64 y z)
accuracy	0.0078125	(-.f64 x (*.f64 y z))
accuracy	30.416658740784417	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
accuracy	0	(neg.f64 z)
accuracy	0	(cos.f64 y)
accuracy	0.07421875	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0.1171875	(*.f64 (neg.f64 z) (sin.f64 y))

Samples

133.0ms	96×	1	valid
55.0ms	130×	0	valid
32.0ms	30×	2	valid

Compiler

Compiled 344 to 40 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-mult: 39.0ms (24.9% of total)

ival-sin: 39.0ms (24.9% of total)

ival-cos: 32.0ms (20.4% of total)

adjust: 12.0ms (7.6% of total)

ival-add: 12.0ms (7.6% of total)

ival-div: 10.0ms (6.4% of total)

ival-neg: 8.0ms (5.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series80.0ms (0.8%)

Memory

24.1MiB live, 131.1MiB allocated

Counts

19 → 504

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.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 (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.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 (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.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 (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.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 (.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))) (taylor -inf z) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z))))) (taylor -inf z) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z))))) (taylor -inf z) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (taylor 0 x) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) x) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ())

Calls

126 calls:

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

simplify473.0ms (4.5%)

Memory

-82.4MiB live, 423.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 688×	`lower-fma.f64`
7 688×	`lower-fma.f32`
6 784×	`lower-*.f64`
6 784×	`lower-*.f32`
4 590×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1005	9729
1	3526	9457
0	8313	9219

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 494

Calls

Call 1

Inputs
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
1
(+ 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 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) 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)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* 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))
(* 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))))
(* 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)))
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(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)) (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(/ (* x (+ 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)))
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(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 2)))))))))
(* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (+ (* -1 (/ (- (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(/ 1 (* y z))
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* 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)))
(/ (pow z 2) (* x (cos y)))
(* (pow z 2) (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))))
(/ z (sin y))
(* z (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))))
(* z (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))))
(* z (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(/ z (sin y))
(* -1 (* z (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y)))))
(* -1 (* z (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))
(/ (pow z 2) x)
(+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x))
(+ (* y (- (* -1 (* y (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x)))) x)) (+ (* -1/6 (/ (pow z 3) (pow x 2))) (* 1/2 (/ (pow z 3) (pow x 2))))))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ (pow z 2) (+ (* x (cos y)) (* z (sin y))))
(/ z (sin y))
(+ (* -1 (/ (* x (cos y)) (pow (sin y) 2))) (/ z (sin y)))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (cos y) (pow (sin y) 2)))) (/ z (sin y)))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* z (pow (sin y) 3)))))) (/ (cos y) (pow (sin y) 2)))) (/ z (sin y)))
(/ (pow z 2) (* x (cos y)))
(/ (+ (* -1 (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) (/ (pow z 2) (cos y))) x)
(/ (- (+ (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))) (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 5) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ (pow z 2) (cos y))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2))))) x)
(/ (pow z 2) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))
(/ (* (pow y 2) (pow z 2)) x)
(* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ (pow z 3) (pow x 2))) (+ (* 1/2 (/ (pow z 3) (pow x 2))) (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x)))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(* (pow z 2) (- (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* (pow z 2) (- (+ (* z (- (* z (- (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))
(* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))
(* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
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(+ (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
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(/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
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(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))

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

rewrite641.0ms (6.1%)

Memory

-58.4MiB live, 1 049.1MiB allocated

Rules

5 092×	`lower-*.f32`
5 074×	`lower-*.f64`
4 240×	`lower-fma.f32`
4 232×	`lower-fma.f64`
3 930×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	225
0	69	172
1	273	146
2	2191	135
0	10241	135

Stop Event

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

Counts

19 → 3 268

Calls

Call 1

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

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

eval982.0ms (9.3%)

Memory: 53.3MiB live, 972.6MiB allocated
Compiler: Compiled 249 599 to 4 911 computations (98% saved)

prune601.0ms (5.7%)

Memory

-13.2MiB live, 901.5MiB allocated

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	3 984	31	4 015
Fresh	8	3	11
Picked	3	2	5
Done	0	0	0
Total	3 995	36	4 031

Accuracy

100.0%

Counts

4 031 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.7%	(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 x (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) x) (.f64 (.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
	67.9%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))))))
	56.7%	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ ( z z) (+ (* (sin y) z) (* (cos y) x))) (/.f64 (*.f64 z z) x)))))
	26.1%	(fma.f64 (.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (.f64 (sin.f64 y) z)) (.f64 (cos.f64 y) x))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	74.6%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
	31.5%	(/.f64 (fma.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))
	53.7%	(-.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64))) (.f64 y y) x)) (*.f64 z (sin.f64 y)))
	51.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
	51.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
	52.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	22.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 z y) (fma.f64 z y x) (.f64 x x)) (fma.f64 (neg.f64 z) y x)) (fma.f64 (.f64 z y) (fma.f64 z y x) (*.f64 x x))))
	32.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (fma.f64 z y x)))
	32.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
	39.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
	13.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z y) (fma.f64 z y x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (fma.f64 (.f64 z y) (fma.f64 z y x) (*.f64 x x)))))
	29.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 z y x)) (/.f64 (.f64 (.f64 (.f64 z y) z) y) (fma.f64 z y x))))
▶	92.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
	88.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
	32.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	23.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)))))
✓	39.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
	62.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	45.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (-.f64 (/.f64 x z) y) z)))
	40.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (-.f64 (/.f64 x y) z) y)))
▶	49.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
▶	18.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (neg.f64 y) z)))
	46.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
▶	35.4%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) y (neg.f64 z)) y x))
	62.4%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) x))
	24.1%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)) (neg.f64 z)))
▶	62.5%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))

Compiler

Compiled 1 503 to 788 computations (47.6% saved)

simplify148.0ms (1.4%)

Memory

40.7MiB live, 153.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))
cost-diff	0	(.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))
cost-diff	0	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
cost-diff	128	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	(fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) y (neg.f64 z)) y x)
cost-diff	0	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) y (neg.f64 z)) y x))
cost-diff	320	(-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x)))
cost-diff	2304	(-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
cost-diff	0	#s(approx (- x (* y z)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
cost-diff	1024	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) z)
cost-diff	0	#s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (neg.f64 y) z)))
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
cost-diff	704	(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)

Rules

14 154×	`lower-fma.f32`
14 144×	`lower-fma.f64`
4 710×	`lower-*.f32`
4 696×	`lower-*.f64`
1 734×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	432
0	94	431
1	182	386
2	389	361
3	1211	361
4	4705	345
0	8408	337

Stop Event

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

Calls

Call 1

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

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

localize269.0ms (2.6%)

Memory

-51.4MiB live, 429.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09375	(.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))
accuracy	0.197597509768442	(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))
accuracy	0.31471764471603	(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	19.36210854706333	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
accuracy	0.04296875	(fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) y (neg.f64 z)) y x)
accuracy	6.964432850284695	(/.f64 (*.f64 z z) x)
accuracy	25.467509607409838	(-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))
accuracy	27.95283929428919	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) y (neg.f64 z)) y x))
accuracy	0	#s(approx (- x (* y z)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x))
accuracy	4.101483293527319	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)
accuracy	5.80126260905765	(/.f64 (*.f64 z y) x)
accuracy	27.32448216365682	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
accuracy	0	(*.f64 (neg.f64 y) z)
accuracy	0	(neg.f64 y)
accuracy	27.32448216365682	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (neg.f64 y) z)))
accuracy	30.224280615072395	#s(approx (- x (* y z)) (*.f64 (neg.f64 y) z))
accuracy	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
accuracy	0.078125	(/.f64 (sin.f64 y) x)
accuracy	0.1015625	(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy	1.57312263884838	(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)

Samples

107.0ms	105×	1	valid
74.0ms	133×	0	valid
11.0ms	18×	1	exit

Compiler

Compiled 355 to 59 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-cos: 46.0ms (28.1% of total)

ival-mult: 45.0ms (27.5% of total)

ival-sin: 16.0ms (9.8% of total)

ival-add: 15.0ms (9.2% of total)

adjust: 13.0ms (7.9% of total)

ival-div: 13.0ms (7.9% of total)

ival-sub: 9.0ms (5.5% of total)

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

exact: 1.0ms (0.6% of total)

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

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

series83.0ms (0.8%)

Memory

-5.2MiB live, 112.8MiB allocated

Counts

24 → 672

Calls

Call 1

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

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

Calls

168 calls:

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

simplify239.0ms (2.3%)

Memory

8.9MiB live, 239.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 840×	`lower-fma.f64`
8 840×	`lower-fma.f32`
6 248×	`lower-*.f64`
6 248×	`lower-*.f32`
3 558×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	599	9039
1	2021	8673
2	7315	8633
0	8030	8275

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 652

Calls

Call 1

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

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

rewrite517.0ms (4.9%)

Memory

5.7MiB live, 330.5MiB allocated

Rules

4 578×	`lower-/.f32`
4 570×	`lower-/.f64`
3 756×	`lower-*.f32`
3 742×	`lower-*.f64`
3 722×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	366
0	94	362
1	404	244
2	3300	235
0	8670	231

Stop Event

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

Counts

24 → 485

Calls

Call 1

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

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

eval196.0ms (1.9%)

Memory: 18.1MiB live, 410.7MiB allocated
Compiler: Compiled 27 968 to 2 323 computations (91.7% saved)

prune214.0ms (2%)

Memory

-14.8MiB live, 579.4MiB allocated

Pruning

41 alts after pruning (38 fresh and 3 done)

	Pruned	Kept	Total
New	1 188	19	1 207
Fresh	10	19	29
Picked	4	1	5
Done	0	2	2
Total	1 202	41	1 243

Accuracy

100.0%

Counts

1 243 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.7%	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ ( z z) (+ (* (sin y) z) (* (cos y) x))) (/.f64 (*.f64 z z) x)))))
	26.1%	(fma.f64 (.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (.f64 (sin.f64 y) z)) (.f64 (cos.f64 y) x))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	74.6%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
	51.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
	51.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
	52.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	32.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
	39.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
	13.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z y) (fma.f64 z y x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (fma.f64 (.f64 z y) (fma.f64 z y x) (*.f64 x x)))))
	29.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 z y x)) (/.f64 (.f64 (.f64 (.f64 z y) z) y) (fma.f64 z y x))))
	88.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
	89.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (sin.f64 y) (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (cos.f64 y)) x))
	92.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (neg.f64 z) (.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) (cos.f64 y)) x))
	32.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	23.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)))))
✓	39.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
▶	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
	62.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	32.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
▶	38.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
	49.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (fma.f64 (.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
	45.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (-.f64 (/.f64 x z) y) z)))
	40.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (-.f64 (/.f64 x y) z) y)))
	46.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))) x)))
✓	18.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (neg.f64 y) z)))
	14.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (/.f64 (neg.f64 y) x) z)) x)))
▶	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
	39.6%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))) y (neg.f64 z)) y x))
▶	98.9%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (.f64 (neg.f64 z) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
	62.5%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (cos.f64 y)))
▶	62.7%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))))
	62.2%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	36.3%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
	36.4%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))))
	36.3%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	23.8%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (neg.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
	3.0%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)))
	36.4%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/45 binary64) x) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/24 binary64) x))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/48 binary64) x (.f64 #s(literal -1/720 binary64) x)))) (.f64 y y) (-.f64 (.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/24 binary64) x)))) (.f64 y y) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 1 532 to 843 computations (45% saved)

simplify134.0ms (1.3%)

Memory

-3.9MiB live, 280.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 1 binary64))))
cost-diff	6464	(pow.f64 (cos.f64 y) #s(literal 1 binary64))
cost-diff	0	#s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
cost-diff	128	(fma.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (neg.f64 z))
cost-diff	320	(fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z))
cost-diff	0	#s(approx (sin y) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y))
cost-diff	0	(neg.f64 z)
cost-diff	0	(.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
cost-diff	0	#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (.f64 (neg.f64 z) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
cost-diff	128	(.f64 (neg.f64 z) (.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
cost-diff	128	(*.f64 #s(literal 2 binary64) y)
cost-diff	13632	(fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (.f64 (neg.f64 z) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))

Rules

9 966×	`lower-fma.f32`
9 954×	`lower-fma.f64`
4 870×	`lower-*.f32`
4 850×	`lower-*.f64`
2 024×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	536
0	106	524
1	210	512
2	481	496
3	1648	488
4	5219	486
0	8144	466

Stop Event

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

Calls

Call 1

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

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

localize278.0ms (2.6%)

Memory

-5.4MiB live, 597.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.11328125	(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
accuracy	0.16015625	(/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 1 binary64))))
accuracy	23.78115262822365	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))))
accuracy	0.328125	(*.f64 #s(literal 1/6 binary64) z)
accuracy	4.061962494166899	(.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)))
accuracy	31.24274363350178	#s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y))
accuracy	38.9155842236215	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
accuracy	0.08822250976844202	(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy	0.1171875	(.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))
accuracy	31.415651760484106	#s(approx (sin y) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y))
accuracy	38.9155842236215	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
accuracy	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
accuracy	4.610884509701578	(.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x)
accuracy	39.48134763282461	#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
accuracy	0.16796875	(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
accuracy	0.20541000976844204	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	0.3096761358465573	(fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (.f64 (neg.f64 z) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
accuracy	0.34272516425291405	(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))

Samples

124.0ms	189×	0	valid
88.0ms	67×	1	valid

Compiler

Compiled 410 to 66 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

ival-mult: 58.0ms (31.8% of total)

ival-cos: 35.0ms (19.2% of total)

const: 21.0ms (11.5% of total)

ival-add: 18.0ms (9.9% of total)

ival-sin: 14.0ms (7.7% of total)

ival-div: 14.0ms (7.7% of total)

adjust: 7.0ms (3.8% of total)

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

ival-pow: 4.0ms (2.2% of total)

ival-sub: 3.0ms (1.6% of total)

ival-pow2: 3.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series69.0ms (0.7%)

Memory

9.9MiB live, 128.9MiB allocated

Counts

26 → 588

Calls

Call 1

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

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

Calls

147 calls:

Time	Variable		Point	Expression
15.0ms	y	@	0	(* (neg z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))))
2.0ms	y	@	inf	(+ (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))) (* (neg z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2)))))
2.0ms	y	@	-inf	(+ (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))) (* (neg z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2)))))
2.0ms	y	@	0	(* z (+ (* 1/5040 (* y y)) -1/120))
1.0ms	z	@	0	(+ (* (* z (+ (* 1/5040 (* y y)) -1/120)) (* y y)) (* 1/6 z))

simplify190.0ms (1.8%)

Memory

15.3MiB live, 204.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 604×	`lower-fma.f64`
9 604×	`lower-fma.f32`
7 092×	`lower-*.f64`
7 092×	`lower-*.f32`
3 342×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	638	10212
1	2166	9805
0	8036	9245

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 578

Calls

Call 1

Inputs
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* y (- (* -1 x) (* -1/2 x))))))
(+ x (* y (+ (* -1 z) (* y (- (+ (* -1 x) (* -1 (* y (- (* -7/6 z) (* -1 z))))) (* -1/2 x))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))))
(* z (+ (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (cos y)))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (* y z))
(* y (+ (* -1 z) (* -1 (* (pow y 2) (- (* -7/6 z) (* -1 z))))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 (- (* -7/6 z) (* -1 z)))))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* (pow y 2) (+ (* -1 (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))))))))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
(* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(- (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(- (* x (+ (* x (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(- (* x (+ (* x (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))) (* x (- (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 4))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* -1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(* x (- (+ (* -1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))
(* x (- (+ (* -1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1/2 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (+ (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 2))))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))
(* -1 (* x (- (* -1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
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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 (cos y))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))))
(- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (* x (cos y)) (* z (sin y)))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(- (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(- (* x (+ (* x (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(- (* x (+ (* x (+ (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))) (* x (- (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 4))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))))))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* -1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (* 1/2 (/ (cos (* 2 y)) (cos y)))))))
(* x (- (+ (* -1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))
(* x (- (+ (* -1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1/2 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (+ (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 2))))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))
(* -1 (* x (- (* -1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)) (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(/ (* x (+ 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 (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (/ (* (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 (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (- (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))) (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 4)))))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 2)))))))))
(* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (+ (* -1 (/ (- (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
1
(+ 1 (* 1/2 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
(/ 1 (cos y))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))
(/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* z (- (* 1/5040 (pow y 2)) 1/120))
(* -1/120 z)
(+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))
(+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))
(+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))
(* 1/5040 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* 1/5040 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* (pow y 2) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 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)

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

rewrite330.0ms (3.1%)

Memory

0.9MiB live, 236.1MiB allocated

Rules

4 912×	`lower-fma.f32`
4 900×	`lower-fma.f64`
4 136×	`lower-*.f32`
4 116×	`lower-*.f64`
3 998×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	451
0	106	442
1	431	337
2	3229	295
0	8630	291

Stop Event

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

Counts

26 → 713

Calls

Call 1

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

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

eval556.0ms (5.3%)

Memory: -3.0MiB live, 348.1MiB allocated
Compiler: Compiled 48 903 to 3 529 computations (92.8% saved)

prune358.0ms (3.4%)

Memory

-6.4MiB live, 557.4MiB allocated

Pruning

45 alts after pruning (41 fresh and 4 done)

	Pruned	Kept	Total
New	1 556	14	1 570
Fresh	6	27	33
Picked	4	1	5
Done	0	3	3
Total	1 566	45	1 611

Accuracy

100.0%

Counts

1 611 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.1%	(fma.f64 (.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (.f64 (sin.f64 y) z)) (.f64 (cos.f64 y) x))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	74.6%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y)))
	51.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
	52.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	32.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
	39.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
	13.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z y) (fma.f64 z y x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (fma.f64 (.f64 z y) (fma.f64 z y x) (*.f64 x x)))))
	89.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (sin.f64 y) (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) (cos.f64 y)) x))
	92.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (neg.f64 z) (.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) (cos.f64 y)) x))
	32.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	23.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 y) z)))))
✓	39.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	16.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) y))))
	62.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	32.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
✓	38.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
	49.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (fma.f64 (.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
	45.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (-.f64 (/.f64 x z) y) z)))
	40.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (-.f64 (/.f64 x y) z) y)))
	46.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))) x)))
✓	18.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (neg.f64 y) z)))
	14.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (/.f64 (neg.f64 y) x) z)) x)))
	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 #s(approx ( z (+ (* 1/5040 (* y y)) -1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 (.f64 y y) z))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) z) (*.f64 y y) (neg.f64 z)) y)))
	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 #s(approx (+ ( (+ (* (* z (+ (* 1/5040 (* y y)) -1/120)) (* y y)) (* 1/6 z)) (* y y)) (neg z)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) z)) y)))
	39.6%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))) y (neg.f64 z)) y x))
	99.5%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (neg.f64 z))))
	62.5%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (cos.f64 y)))
	48.9%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
	48.9%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
	62.7%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y))))
	36.3%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (cos y) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))))))
	36.3%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x #s(approx (/ 1 (pow (cos y) 1)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
	62.2%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	36.3%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
	36.4%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))))
	36.3%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	23.8%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (neg.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
	36.4%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (/ x (/ 1 (pow (cos y) 1))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	36.3%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (/ x (/ 1 (pow (cos y) 1))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) x)))
	3.0%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)))
	38.9%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (+ (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))) (* (neg z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))))) (/.f64 (.f64 z (.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))

Compiler

Compiled 2 458 to 781 computations (68.2% saved)

regimes113.0ms (1.1%)

Memory

-2.3MiB live, 157.1MiB allocated

Counts

81 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes63.0ms (0.6%)

Memory

22.7MiB live, 107.3MiB allocated

Counts

49 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (/ x (/ 1 (pow (cos y) 1))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 x y) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x #s(approx (/ 1 (pow (cos y) 1)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (/.f64 (neg.f64 y) x) z)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (fma.f64 (.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (cos y) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (fma.f64 z y x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 #s(approx (+ ( (+ (* (* z (+ (* 1/5040 (* y y)) -1/120)) (* y y)) (* 1/6 z)) (* y y)) (neg z)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) z) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (/ x (/ 1 (pow (cos y) 1))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 #s(approx ( z (+ (* 1/5040 (* y y)) -1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 (.f64 y y) z))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 z y x)) (/.f64 (.f64 (.f64 (.f64 z y) z) y) (fma.f64 z y x))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 z y) (fma.f64 z y x) (.f64 x x)) (fma.f64 (neg.f64 z) y x)) (fma.f64 (.f64 z y) (fma.f64 z y x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) y))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/45 binary64) x) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/24 binary64) x))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/48 binary64) x (.f64 #s(literal -1/720 binary64) x)))) (.f64 y y) (-.f64 (.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/24 binary64) x)))) (.f64 y y) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z y) (fma.f64 z y x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (fma.f64 (.f64 z y) (fma.f64 z y x) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.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 (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(-.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64))) (.f64 y y) x)) (*.f64 z (sin.f64 y)))

Outputs

#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)))

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

Calls

4 calls:

19.0ms	x
14.0ms	z
13.0ms	y
13.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
86.7%	3	`x`
81.5%	4	`y`
84.9%	3	`z`
76.9%	2	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes101.0ms (1%)

Memory

-25.4MiB live, 91.2MiB allocated

Counts

42 → 4

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (/ x (/ 1 (pow (cos y) 1))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 x y) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x #s(approx (/ 1 (pow (cos y) 1)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (/.f64 (neg.f64 y) x) z)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (fma.f64 (.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (cos y) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (fma.f64 z y x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 #s(approx (+ ( (+ (* (* z (+ (* 1/5040 (* y y)) -1/120)) (* y y)) (* 1/6 z)) (* y y)) (neg z)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) z) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (/ x (/ 1 (pow (cos y) 1))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 #s(approx ( z (+ (* 1/5040 (* y y)) -1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 (.f64 y y) z))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 z y x)) (/.f64 (.f64 (.f64 (.f64 z y) z) y) (fma.f64 z y x))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 z y) (fma.f64 z y x) (.f64 x x)) (fma.f64 (neg.f64 z) y x)) (fma.f64 (.f64 z y) (fma.f64 z y x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) y))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/45 binary64) x) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/24 binary64) x))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/48 binary64) x (.f64 #s(literal -1/720 binary64) x)))) (.f64 y y) (-.f64 (.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/24 binary64) x)))) (.f64 y y) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z y) (fma.f64 z y x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (fma.f64 (.f64 z y) (fma.f64 z y x) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))

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

Calls

4 calls:

60.0ms	y
12.0ms	x
12.0ms	z
12.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
62.8%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
79.8%	4	`y`
77.1%	3	`z`
77.6%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes14.0ms (0.1%)

Memory

34.7MiB live, 34.7MiB allocated

Counts

41 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (/ x (/ 1 (pow (cos y) 1))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 x y) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x #s(approx (/ 1 (pow (cos y) 1)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (/.f64 (neg.f64 y) x) z)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (fma.f64 (.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (cos y) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (fma.f64 z y x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 #s(approx (+ ( (+ (* (* z (+ (* 1/5040 (* y y)) -1/120)) (* y y)) (* 1/6 z)) (* y y)) (neg z)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) z) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (/ x (/ 1 (pow (cos y) 1))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 #s(approx ( z (+ (* 1/5040 (* y y)) -1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 (.f64 y y) z))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 z y x)) (/.f64 (.f64 (.f64 (.f64 z y) z) y) (fma.f64 z y x))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 z y) (fma.f64 z y x) (.f64 x x)) (fma.f64 (neg.f64 z) y x)) (fma.f64 (.f64 z y) (fma.f64 z y x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) y))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/45 binary64) x) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/24 binary64) x))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/48 binary64) x (.f64 #s(literal -1/720 binary64) x)))) (.f64 y y) (-.f64 (.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/24 binary64) x)))) (.f64 y y) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z y) (fma.f64 z y x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (fma.f64 (.f64 z y) (fma.f64 z y x) (*.f64 x x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
77.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes76.0ms (0.7%)

Memory

-17.1MiB live, 100.4MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (+ (* (+ (* (- (neg x) (- (+ (* -1/2 x) (/ (* z z) x)) (/ (* z z) x))) y) (neg z)) y) x) (.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (/ x (/ 1 (pow (cos y) 1))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 x y) #s(literal -1/2 binary64)) z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x #s(approx (/ 1 (pow (cos y) 1)) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 #s(approx (- 1 (/ ( z y) x)) (*.f64 (/.f64 (neg.f64 y) x) z)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (*.f64 (neg.f64 x) (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y (/.f64 z x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* y z)) (.f64 (fma.f64 (.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y z) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (cos y) 1) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (fma.f64 z y x)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x #s(approx (/ (+ ( (cos (* 2 y)) 1/2) 1/2) (cos y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 #s(approx (+ ( (+ (* (* z (+ (* 1/5040 (* y y)) -1/120)) (* y y)) (* 1/6 z)) (* y y)) (neg z)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) z) (*.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (/ x (/ 1 (pow (cos y) 1))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) x)) y) y (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 #s(approx ( z (+ (* 1/5040 (* y y)) -1/120)) (.f64 #s(literal 1/5040 binary64) (.f64 (.f64 y y) z))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 z y x)) (/.f64 (.f64 (.f64 (.f64 z y) z) y) (fma.f64 z y x))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (.f64 z z) x))) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 z y) (fma.f64 z y x) (.f64 x x)) (fma.f64 (neg.f64 z) y x)) (fma.f64 (.f64 z y) (fma.f64 z y x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) y))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) #s(approx (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -2/45 binary64) x) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/24 binary64) x))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/48 binary64) x (.f64 #s(literal -1/720 binary64) x)))) (.f64 y y) (-.f64 (.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/24 binary64) x)))) (.f64 y y) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 z y) (fma.f64 z y x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (fma.f64 (.f64 z y) (fma.f64 z y x) (*.f64 x x)))))

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

Calls

4 calls:

36.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
14.0ms	y
12.0ms	x
11.0ms	z

Results

Accuracy	Segments	Branch
52.5%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
52.5%	1	`z`
52.5%	1	`x`
52.5%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.5%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
52.5%	1	`x`
52.5%	1	`y`
52.5%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes27.0ms (0.3%)

Memory

-23.3MiB live, 16.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

4 calls:

22.0ms	x
2.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
38.5%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
44.6%	3	`x`
42.4%	3	`y`
43.3%	2	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory

12.9MiB live, 12.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
38.5%	1	`y`
38.5%	1	`x`
38.5%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch38.0ms (0.4%)

Memory

-9.6MiB live, 70.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	9.210041825384167e+116	3.364617261229206e+121
18.0ms	-2.8372542453596347e+25	-1.4383156055187664e+23

Samples

27.0ms

240×

valid

Compiler

Compiled 345 to 239 computations (30.7% saved)

Precisions

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

ival-cos: 11.0ms (53.6% of total)

ival-sin: 6.0ms (29.2% of total)

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

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

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

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

bsearch52.0ms (0.5%)

Memory

-8.0MiB live, 113.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	8.770202759645477e-20	2.0016447544424086e-9
17.0ms	-1.351146258842585e-5	-1.0572931525699704e-16
12.0ms	-3.8055848715329543e+230	-1.7505826070537582e+230

Samples

32.0ms

400×

valid

Compiler

Compiled 490 to 319 computations (34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-cos: 8.0ms (35.5% of total)

ival-mult: 7.0ms (31.1% of total)

ival-sin: 6.0ms (26.7% of total)

ival-sub: 2.0ms (8.9% of total)

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

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

bsearch2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

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

Compiler

Compiled 395 to 254 computations (35.7% saved)

bsearch17.0ms (0.2%)

Memory

0.5MiB live, 38.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-6.250416294132738e+25	-1.4696045424471256e+24

Samples

11.0ms

112×

valid

Compiler

Compiled 148 to 98 computations (33.8% saved)

Precisions

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

ival-cos: 4.0ms (46.1% of total)

ival-mult: 2.0ms (23.1% of total)

ival-sin: 2.0ms (23.1% of total)

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

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

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

simplify9.0ms (0.1%)

Memory

26.1MiB live, 26.1MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
16×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`cancel-sign-sub-inv_binary64`
10×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	279
1	81	279
2	100	279
3	108	279
4	112	279
5	113	279

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness948.0ms (9%)

Memory

-8.9MiB live, 629.0MiB allocated

Rules

12 044×	`lower-fma.f64`
12 044×	`lower-fma.f32`
8 840×	`lower-fma.f64`
8 840×	`lower-fma.f32`
7 688×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	599	9039
1	2021	8673
2	7315	8633
0	8030	8275
0	1005	9729
1	3526	9457
0	8313	9219
0	40	225
0	69	172
1	273	146
2	2191	135
0	10241	135
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
1×	iter limit
1×	node limit

Compiler

Compiled 297 to 146 computations (50.8% saved)

preprocess87.0ms (0.8%)

Memory: -5.1MiB live, 153.2MiB allocated
Compiler: Compiled 282 to 88 computations (68.8% 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 (12.1%)

explain139.0ms (1.3%)

preprocess50.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify38.0ms (0.4%)

localize34.0ms (0.3%)

series8.0ms (0.1%)

simplify160.0ms (1.5%)

rewrite221.0ms (2.1%)

eval78.0ms (0.7%)

prune117.0ms (1.1%)

simplify190.0ms (1.8%)

localize291.0ms (2.8%)

series80.0ms (0.8%)

simplify473.0ms (4.5%)

rewrite641.0ms (6.1%)

eval982.0ms (9.3%)

prune601.0ms (5.7%)

simplify148.0ms (1.4%)

localize269.0ms (2.6%)

series83.0ms (0.8%)

simplify239.0ms (2.3%)

rewrite517.0ms (4.9%)

eval196.0ms (1.9%)

prune214.0ms (2%)

simplify134.0ms (1.3%)

localize278.0ms (2.6%)

series69.0ms (0.7%)

simplify190.0ms (1.8%)

rewrite330.0ms (3.1%)

eval556.0ms (5.3%)

prune358.0ms (3.4%)

regimes113.0ms (1.1%)

regimes63.0ms (0.6%)

regimes101.0ms (1%)

regimes14.0ms (0.1%)

regimes76.0ms (0.7%)

regimes8.0ms (0.1%)

regimes27.0ms (0.3%)

regimes4.0ms (0%)

bsearch38.0ms (0.4%)

bsearch52.0ms (0.5%)

bsearch2.0ms (0%)

bsearch17.0ms (0.2%)

simplify9.0ms (0.1%)

soundness948.0ms (9%)

preprocess87.0ms (0.8%)

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