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

0.8MiB live, 0.8MiB 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)

sample1.5s (14.1%)

Memory

-82.6MiB live, 1 826.2MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 906.0ms

ival-cos: 525.0ms (58% of total)

ival-sin: 168.0ms (18.6% of total)

ival-mult: 119.0ms (13.1% of total)

ival-sub: 85.0ms (9.4% of total)

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

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

Bogosity

explain122.0ms (1.1%)

Memory

-25.7MiB live, 250.7MiB 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

57.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-cos: 16.0ms (38.6% of total)

ival-sin: 13.0ms (31.3% of total)

ival-mult: 9.0ms (21.7% of total)

ival-sub: 2.0ms (4.8% of total)

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

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

preprocess60.0ms (0.6%)

Memory

6.8MiB live, 85.4MiB 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)))

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)

simplify14.0ms (0.1%)

Memory

22.9MiB live, 22.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.3%)

Memory

-21.1MiB live, 55.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.09765625	(*.f64 z (sin.f64 y))
accuracy	0.13671875	(*.f64 x (cos.f64 y))

Samples

25.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-cos: 6.0ms (36.8% of total)

ival-sin: 5.0ms (30.7% of total)

ival-mult: 4.0ms (24.6% of total)

ival-sub: 1.0ms (6.1% of total)

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

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

series8.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB 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)))
1.0ms	y	@	-inf	(- (* x (cos y)) (* z (sin y)))
0.0ms	y	@	0	(- (* x (cos y)) (* z (sin y)))

simplify589.0ms (5.4%)

Memory

-20.2MiB live, 311.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite412.0ms (3.8%)

Memory

39.7MiB live, 538.9MiB 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 (.f64 x (cos.f64 y)) (neg.f64 (.f64 z (sin.f64 y))))
(+.f64 (neg.f64 (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y)))
(+.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (neg.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
(-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
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(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 2 binary64)))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) (.f64 x (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y))))
(cos.f64 y)
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))

eval49.0ms (0.5%)

Memory: -15.0MiB live, 94.8MiB allocated
Compiler: Compiled 15 516 to 726 computations (95.3% saved)

prune66.0ms (0.6%)

Memory

35.7MiB live, 150.6MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	310	15	325
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	311	15	326

Accuracy

99.9%

Counts

326 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
▶	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	66.5%	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
▶	49.0%	(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
	48.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	22.8%	(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
	76.1%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	47.1%	(-.f64 (exp.f64 (log.f64 (.f64 x (cos.f64 y)))) (.f64 z (sin.f64 y)))
	48.9%	(.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
	51.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
▶	52.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	51.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
▶	59.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
	41.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))

Compiler

Compiled 778 to 402 computations (48.3% saved)

simplify284.0ms (2.6%)

Memory

-24.2MiB live, 373.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	6720	(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(-.f64 x (*.f64 z y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	(neg.f64 z)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))

Rules

10 556×	`lower-fma.f32`
10 550×	`lower-fma.f64`
2 846×	`lower-*.f32`
2 832×	`lower-*.f64`
1 554×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	249
0	61	245
1	109	245
2	210	245
3	490	245
4	1201	241
5	2743	239
6	4748	239
7	6865	239
0	8120	232

Stop Event

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

Calls

Call 1

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

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

localize183.0ms (1.7%)

Memory

43.9MiB live, 431.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.4078298930911404	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	6.7314063583393375	(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
accuracy	16.472198661227893	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	23.964349260741958	(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
accuracy	0.09765625	(*.f64 z (sin.f64 y))
accuracy	0.13671875	(*.f64 x (cos.f64 y))
accuracy	0.17578125	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
accuracy	0.21484375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
accuracy	0	(cos.f64 y)
accuracy	0.13671875	(*.f64 x (cos.f64 y))
accuracy	25.95172477818279	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
accuracy	0	(*.f64 z y)
accuracy	0.00390625	(-.f64 x (*.f64 z y))
accuracy	30.393876317539732	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy	0	(neg.f64 z)
accuracy	0	(cos.f64 y)
accuracy	0.0390625	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
accuracy	0.13671875	(*.f64 x (cos.f64 y))

Samples

47.0ms	48×	2	valid
45.0ms	132×	0	valid
39.0ms	76×	1	valid

Compiler

Compiled 245 to 32 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-cos: 30.0ms (30.4% of total)

ival-mult: 25.0ms (25.3% of total)

ival-add: 12.0ms (12.2% of total)

adjust: 10.0ms (10.1% of total)

ival-div: 7.0ms (7.1% of total)

ival-sin: 7.0ms (7.1% of total)

ival-sub: 5.0ms (5.1% of total)

ival-neg: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series72.0ms (0.7%)

Memory

-56.2MiB live, 102.7MiB allocated

Counts

17 → 456

Calls

Call 1

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

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

114 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
2.0ms	y	@	inf	(+ (* (sin y) (neg z)) (* x (cos y)))
2.0ms	x	@	0	(/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y))))
1.0ms	z	@	inf	(neg z)
1.0ms	y	@	-inf	(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))

simplify353.0ms (3.2%)

Memory

5.9MiB live, 431.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 910×	`lower-fma.f64`
7 910×	`lower-fma.f32`
7 014×	`lower-*.f64`
7 014×	`lower-*.f32`
2 864×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	604	6235
1	2062	6055
2	7615	6018
0	8025	5725

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 444

Calls

Call 1

Inputs
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
1
(+ 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)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(/ -1 (* z (sin y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(/ 1 (* x (cos y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/ 1 (* x (cos y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* 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)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(pow x 2)
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* -1 (pow z 2)))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (* 1/3 (pow z 2))))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow x 2)) (* -2/45 (pow z 2)))))))))) (pow x 2))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (* -1/2 x))) x)))))) (* -1/2 x))) z)))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (+ (* x (cos y)) (* z (sin y))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* z (- (* z (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* z (- (* z (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* x (cos y))))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))
(* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))
(* z (- (+ (* -1 (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* (pow z 3) (sin y)))) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* -1 (* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* z (sin y)))) (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* -1 (/ (* x (* (cos y) (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* z (sin y)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(* 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
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64)))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 y z))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
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(* -1 (* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
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(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (fma.f64 x (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) (neg.f64 z))) (neg.f64 z))) (neg.f64 z))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* z (sin y)))) (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (fma.f64 x (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (.f64 (neg.f64 (cos.f64 y)) (.f64 (.f64 x x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) (.f64 z (sin.f64 y))) (neg.f64 (.f64 (.f64 x x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))))) (neg.f64 z))) (neg.f64 z))) (neg.f64 z))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
(+ (* -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)))
(-.f64 (.f64 x (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))
(-.f64 (.f64 x (fma.f64 x (-.f64 (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1/2 binary64) (.f64 z (sin.f64 y)))) (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* -1 (/ (* x (* (cos y) (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* z (sin y)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))
(fma.f64 x (fma.f64 x (fma.f64 (neg.f64 x) (.f64 (-.f64 (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1/2 binary64) (.f64 z (sin.f64 y)))) (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (-.f64 (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 z (sin.f64 y))) (/.f64 #s(literal 1/2 binary64) (.f64 z (sin.f64 y)))) (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(.f64 x (fma.f64 (neg.f64 z) (.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (fma.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(.f64 x (-.f64 (+.f64 (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (neg.f64 (.f64 (.f64 z z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) (.f64 x x))) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(.f64 x (-.f64 (fma.f64 z (neg.f64 (/.f64 (.f64 (sin.f64 y) (neg.f64 (.f64 (.f64 z z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))))) (.f64 (cos.f64 y) (.f64 x (.f64 x x))))) (+.f64 (fma.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (neg.f64 (.f64 (.f64 z z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) (.f64 x x)))) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(.f64 (neg.f64 x) (fma.f64 z (.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(.f64 x (neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)) (-.f64 (/.f64 (neg.f64 (.f64 (.f64 z z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) (.f64 x x)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)) (-.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 z) (/.f64 (.f64 (sin.f64 y) (.f64 (.f64 z z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) (.f64 x (cos.f64 y))) (.f64 (.f64 z z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))))) (.f64 x x)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) (*.f64 y y)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 z #s(literal -1/6 binary64))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))

rewrite341.0ms (3.1%)

Memory

19.0MiB live, 543.3MiB allocated

Rules

5 434×	`lower-fma.f32`
5 428×	`lower-fma.f64`
4 888×	`lower-*.f32`
4 874×	`lower-*.f64`
4 436×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	168
0	61	139
1	210	119
2	1566	119
0	8234	119

Stop Event

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

Counts

17 → 1 124

Calls

Call 1

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

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

eval399.0ms (3.7%)

Memory: 23.5MiB live, 366.0MiB allocated
Compiler: Compiled 68 750 to 2 685 computations (96.1% saved)

prune419.0ms (3.8%)

Memory

-24.6MiB live, 328.2MiB allocated

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	1 672	35	1 707
Fresh	10	0	10
Picked	2	3	5
Done	0	0	0
Total	1 684	38	1 722

Accuracy

100.0%

Counts

1 722 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	76.1%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	51.9%	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	49.1%	(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
	14.6%	(/.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 z (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
	38.0%	(/.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
	52.0%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	52.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))))
	59.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
	32.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
	59.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	31.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x x) (.f64 z (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))))) z)))
	36.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
	41.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
	62.7%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
	51.4%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
	59.2%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	90.0%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (neg.f64 x) (fma.f64 z (.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)))))
▶	25.6%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
	51.5%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))
	41.8%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 (sin.f64 y) (neg.f64 z)))
▶	90.5%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))))
	34.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
	22.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))))))
	32.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
✓	52.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	34.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
✓	59.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
▶	34.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	34.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
	34.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
▶	36.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	45.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	47.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
	42.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
	19.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
▶	34.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)))
	34.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64)))) x)))

Compiler

Compiled 1 373 to 778 computations (43.3% saved)

simplify333.0ms (3.1%)

Memory

15.6MiB live, 338.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))
cost-diff	0	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
cost-diff	128	(neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
cost-diff	0	#s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)))
cost-diff	320	(fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 y y) #s(literal -1/720 binary64))))
cost-diff	320	(fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (*.f64 x #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
cost-diff	0	(cos.f64 y)
cost-diff	0	(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
cost-diff	0	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))))
cost-diff	704	(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))

Rules

10 770×	`lower-fma.f32`
10 758×	`lower-fma.f64`
4 342×	`lower-*.f32`
4 322×	`lower-*.f64`
1 778×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	407
0	90	396
1	196	395
2	491	391
3	1262	391
4	2827	383
5	5005	382
0	8258	372

Stop Event

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

Calls

Call 1

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

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

localize378.0ms (3.5%)

Memory

-29.5MiB live, 587.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.125	(/.f64 z (sin.f64 y))
accuracy	11.026691532248309	(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))
accuracy	16.472198661227893	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy	37.19443911118701	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
accuracy	0.21875	(.f64 (.f64 y y) #s(literal -1/720 binary64))
accuracy	8.575966397131953	(.f64 x (.f64 (*.f64 y y) #s(literal -1/720 binary64)))
accuracy	25.95172477818279	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)))
accuracy	31.20094340462794	#s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x))
accuracy	0.078125	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy	0.13671875	(.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy	25.95172477818279	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
accuracy	31.117250216840556	#s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.13671875	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy	25.95172477818279	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
accuracy	28.30820244763284	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.0078125	(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
accuracy	0.15625	(/.f64 (sin.f64 y) x)
accuracy	2.4697066074871836	(*.f64 z (/.f64 (sin.f64 y) x))
accuracy	6.028520394667392	(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))

Samples

118.0ms	76×	2	valid
96.0ms	131×	0	valid
35.0ms	43×	1	valid
13.0ms	6×	3	valid

Compiler

Compiled 292 to 56 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-cos: 58.0ms (27.2% of total)

ival-mult: 42.0ms (19.7% of total)

ival-add: 42.0ms (19.7% of total)

ival-sub: 21.0ms (9.9% of total)

adjust: 19.0ms (8.9% of total)

ival-div: 11.0ms (5.2% of total)

const: 8.0ms (3.8% of total)

ival-neg: 7.0ms (3.3% of total)

ival-sin: 6.0ms (2.8% of total)

exact: 1.0ms (0.5% of total)

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

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

series94.0ms (0.9%)

Memory

30.5MiB live, 108.0MiB allocated

Counts

24 → 600

Calls

Call 1

Inputs
#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))) (patch #s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))) #<representation binary64>) () ())
#s(alt (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))) (patch (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (patch #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (patch #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) (patch (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) (patch (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (patch (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x))) #<representation binary64>) () ())
#s(alt #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)) (patch #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))) (patch (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))) (patch #s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))) (patch (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 z (/.f64 (sin.f64 y) x)) (patch (.f64 z (/.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) #s(literal -1/720 binary64)) (patch (.f64 (.f64 y y) #s(literal -1/720 binary64)) #<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 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 x) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 x) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 x) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) (taylor 0 y) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.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 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (cos y) (/ (* z (sin y)) x))) (taylor inf y) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (cos y) (/ (* z (sin y)) x))) (taylor inf y) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (cos y) (/ (* z (sin y)) x))) (taylor inf y) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (cos y) (/ (* z (sin y)) x))) (taylor inf y) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (cos y) (/ (* z (sin y)) x))) (taylor -inf y) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (cos y) (/ (* z (sin y)) x))) (taylor -inf y) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (cos y) (/ (* z (sin y)) x))) (taylor -inf y) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (cos y) (/ (* z (sin y)) x))) (taylor -inf y) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) (patch (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ())
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#s(alt (* -1/720 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal -1/720 binary64)) (patch (.f64 (.f64 y y) #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal -1/720 binary64)) (patch (.f64 (.f64 y y) #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal -1/720 binary64)) (patch (.f64 (.f64 y y) #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y y) #s(literal -1/720 binary64)) (patch (.f64 (.f64 y y) #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal -1/720 binary64)) (patch (.f64 (.f64 y y) #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal -1/720 binary64)) (patch (.f64 (.f64 y y) #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal -1/720 binary64)) (patch (.f64 (.f64 y y) #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow y 2)) (taylor inf y) (#s(alt (.f64 (.f64 y y) #s(literal -1/720 binary64)) (patch (.f64 (.f64 y y) #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal -1/720 binary64)) (patch (.f64 (.f64 y y) #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal -1/720 binary64)) (patch (.f64 (.f64 y y) #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal -1/720 binary64)) (patch (.f64 (.f64 y y) #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (pow y 2)) (taylor -inf y) (#s(alt (.f64 (.f64 y y) #s(literal -1/720 binary64)) (patch (.f64 (.f64 y y) #s(literal -1/720 binary64)) #<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 (/ z y) (taylor 0 y) (#s(alt (/.f64 z (sin.f64 y)) (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* 1/6 (* (pow y 2) z))) y) (taylor 0 y) (#s(alt (/.f64 z (sin.f64 y)) (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y) (taylor 0 y) (#s(alt (/.f64 z (sin.f64 y)) (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y) (taylor 0 y) (#s(alt (/.f64 z (sin.f64 y)) (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ z (sin y)) (taylor inf y) (#s(alt (/.f64 z (sin.f64 y)) (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ z (sin y)) (taylor inf y) (#s(alt (/.f64 z (sin.f64 y)) (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ z (sin y)) (taylor inf y) (#s(alt (/.f64 z (sin.f64 y)) (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ z (sin y)) (taylor inf y) (#s(alt (/.f64 z (sin.f64 y)) (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ z (sin y)) (taylor -inf y) (#s(alt (/.f64 z (sin.f64 y)) (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ z (sin y)) (taylor -inf y) (#s(alt (/.f64 z (sin.f64 y)) (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ z (sin y)) (taylor -inf y) (#s(alt (/.f64 z (sin.f64 y)) (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ z (sin y)) (taylor -inf y) (#s(alt (/.f64 z (sin.f64 y)) (patch (/.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())

Calls

150 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	(+ (* (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2))
2.0ms	z	@	0	(neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))))
1.0ms	x	@	0	(+ (* (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2))
1.0ms	z	@	inf	(neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))))
1.0ms	y	@	inf	(neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))))

simplify258.0ms (2.4%)

Memory

7.2MiB live, 399.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 760×	`lower-fma.f64`
8 760×	`lower-fma.f32`
6 966×	`lower-*.f64`
6 966×	`lower-*.f32`
2 538×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	538	6825
1	1798	6680
2	6426	6613
0	8280	6279

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 591

Calls

Call 1

Inputs
(* -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
(+ 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) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(- (* 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
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (- (* -1/2 y) (/ z x))))
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ 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)
(+ (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 (- (/ (cos y) z) (/ (sin y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* -1 (/ (* z (sin y)) x))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (/ (* z (sin y)) x))
(/ (- (* x (cos y)) (* z (sin y))) x)
(/ (- (* x (cos y)) (* z (sin y))) x)
(/ (- (* x (cos y)) (* 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)))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(* 1/24 (pow y 4))
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
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(/ (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)
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (* x (pow y 2)))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z y)
(/ (+ z (* 1/6 (* (pow y 2) z))) y)
(/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))

Outputs
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(* x (- (cos y) (/ (* z (sin y)) x)))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* y z) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(+ 1 (* y (- (* -1/2 y) (/ z x))))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(fma.f64 y (-.f64 (.f64 y (fma.f64 (.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(* -1 (/ (* z (sin y)) x))
(neg.f64 (*.f64 z (/.f64 (sin.f64 y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (/ (* z (sin y)) x))
(neg.f64 (*.f64 z (/.f64 (sin.f64 y) x)))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (/ (* z (sin y)) x))
(neg.f64 (*.f64 z (/.f64 (sin.f64 y) x)))
(/ (- (* x (cos y)) (* z (sin y))) x)
(-.f64 (.f64 (cos.f64 y) #s(literal 1 binary64)) (.f64 z (/.f64 (sin.f64 y) x)))
(/ (- (* x (cos y)) (* z (sin y))) x)
(-.f64 (.f64 (cos.f64 y) #s(literal 1 binary64)) (.f64 z (/.f64 (sin.f64 y) x)))
(/ (- (* x (cos y)) (* z (sin y))) x)
(-.f64 (.f64 (cos.f64 y) #s(literal 1 binary64)) (.f64 z (/.f64 (sin.f64 y) x)))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
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(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
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(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
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(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
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(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
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(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
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(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
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(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z y)
(/.f64 z y)
(/ (+ z (* 1/6 (* (pow y 2) z))) y)
(/.f64 (fma.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)) z) y)
(/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (.f64 z #s(literal 7/360 binary64)) (.f64 z #s(literal 1/6 binary64)))) z) y)
(/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (fma.f64 z #s(literal -7/2160 binary64) (.f64 z #s(literal 1/840 binary64))) (neg.f64 (.f64 y y)) (.f64 z #s(literal 7/360 binary64))) (.f64 z #s(literal 1/6 binary64))) z) y)
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(/ z (sin y))
(/.f64 z (sin.f64 y))

rewrite308.0ms (2.8%)

Memory

-27.3MiB live, 487.7MiB allocated

Rules

4 820×	`lower-*.f32`
4 800×	`lower-*.f64`
3 986×	`lower-fma.f32`
3 974×	`lower-fma.f64`
3 058×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	339
0	90	331
1	369	304
2	2931	304
0	8163	300

Stop Event

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

Counts

24 → 361

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 x (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)) x))
(fma.f64 x (cos.f64 y) (.f64 x (neg.f64 (/.f64 (.f64 z (sin.f64 y)) x))))
(fma.f64 x (cos.f64 y) (.f64 (neg.f64 (/.f64 (.f64 z (sin.f64 y)) x)) x))
(fma.f64 (cos.f64 y) x (.f64 x (neg.f64 (/.f64 (.f64 z (sin.f64 y)) x))))
(fma.f64 (cos.f64 y) x (.f64 (neg.f64 (/.f64 (.f64 z (sin.f64 y)) x)) x))
(/.f64 (.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 x x)))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) x) (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 x x))) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 x x))))) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 x x))) x)) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(.f64 (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)) x)
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))
(+.f64 (cos.f64 y) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))
(+.f64 (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)) (cos.f64 y))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (/.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (*.f64 x x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(fma.f64 z (neg.f64 (/.f64 (sin.f64 y) x)) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y))
(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
(fma.f64 (neg.f64 (*.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(fma.f64 (neg.f64 (/.f64 (sin.f64 y) x)) z (cos.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 x x)) (.f64 (cos.f64 y) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) x))))))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (*.f64 x x))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 x x))) (-.f64 (cos.f64 y) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 x x)) (.f64 (cos.f64 y) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) x)))))))
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (*.f64 x x)))) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 x x)))) (neg.f64 (-.f64 (cos.f64 y) (neg.f64 (/.f64 (.f64 z (sin.f64 y)) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (.f64 (fma.f64 z (/.f64 (sin.f64 y) 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)) (.f64 x x)))) (.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))))
(pow.f64 (/.f64 (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (*.f64 x x)))) #s(literal -1 binary64))
(.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(cos.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
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(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64))))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/4 binary64)))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 z (/.f64 x (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 z (sin.f64 y)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 z) (neg.f64 (/.f64 x (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 z (sin.f64 y))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 z (sin.f64 y)))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 x (sin.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 x (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (/.f64 x (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 x (sin.f64 y))))
(pow.f64 (/.f64 x (*.f64 z (sin.f64 y))) #s(literal -1 binary64))
(*.f64 z (/.f64 (sin.f64 y) x))
(.f64 (sin.f64 y) (.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 (sin.f64 y) (/.f64 z x))
(*.f64 (/.f64 (sin.f64 y) x) z)
(.f64 (.f64 z (sin.f64 y)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) x))
(/.f64 (sin.f64 y) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (sin.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 x))
(pow.f64 (/.f64 x (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(.f64 x (.f64 (*.f64 y y) #s(literal -1/720 binary64)))
(.f64 y (.f64 (*.f64 y #s(literal -1/720 binary64)) x))
(.f64 (.f64 y y) (*.f64 #s(literal -1/720 binary64) x))
(.f64 #s(literal -1/720 binary64) (.f64 x (*.f64 y y)))
(.f64 (.f64 (*.f64 y y) #s(literal -1/720 binary64)) x)
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(.f64 (.f64 x y) (*.f64 y #s(literal -1/720 binary64)))
(.f64 (.f64 x #s(literal -1/720 binary64)) (*.f64 y y))
(.f64 y (.f64 y #s(literal -1/720 binary64)))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(.f64 #s(literal -1/720 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal -1/720 binary64)) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) z)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (/.f64 z (sin.f64 y))))
(/.f64 z (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 y) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sin.f64 y) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sin.f64 y) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 z) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (sin.f64 y))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (sin.f64 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (sin.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sin.f64 y) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))

eval191.0ms (1.7%)

Memory: -3.0MiB live, 276.9MiB allocated
Compiler: Compiled 20 347 to 1 603 computations (92.1% saved)

prune220.0ms (2%)

Memory

31.1MiB live, 346.9MiB allocated

Pruning

44 alts after pruning (39 fresh and 5 done)

	Pruned	Kept	Total
New	935	17	952
Fresh	8	22	30
Picked	3	2	5
Done	0	3	3
Total	946	44	990

Accuracy

100.0%

Counts

990 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	76.1%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	51.9%	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	49.1%	(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
	38.0%	(/.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
	52.0%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	59.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
	32.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
	59.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	36.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
	41.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
	62.7%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
	51.4%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
	25.9%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) z) (sin.f64 y)))
	25.6%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (sin.f64 y) z)))
	59.2%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	90.0%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (neg.f64 x) (fma.f64 z (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)))))
▶	19.1%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (*.f64 z y))))
	19.1%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 z #s(literal -1/36 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))))
	19.2%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (.f64 y (fma.f64 y (.f64 z (*.f64 #s(literal -1/6 binary64) y)) z)))))
	19.1%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 (fma.f64 z #s(literal 1/36 binary64) (.f64 z #s(literal -13/360 binary64))) y) y (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
	19.2%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (-.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/36 binary64) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/315 binary64) (fma.f64 z #s(literal -1/720 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 z #s(literal -1/36 binary64)))) (.f64 z #s(literal -1/5040 binary64))))) (.f64 z #s(literal -13/360 binary64)))) (*.f64 z #s(literal 1/6 binary64))))) z))))
	41.8%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 (sin.f64 y) (neg.f64 z)))
▶	86.0%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x)))))
▶	44.5%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y (fma.f64 (.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64)))))
▶	90.4%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))))
	32.5%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))))))
	34.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
	22.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))))))
	32.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
✓	52.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	34.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
✓	59.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓	34.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	34.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
✓	36.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	45.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	47.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
	42.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
	34.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 #s(literal -1/720 binary64) x) (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
▶	34.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) x)))
	34.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2)) (.f64 y (.f64 y (.f64 x (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) x)))
	34.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2)) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x)))
	34.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)))

Compiler

Compiled 1 611 to 903 computations (43.9% saved)

simplify310.0ms (2.8%)

Memory

5.5MiB live, 221.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 y)
cost-diff	0	(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
cost-diff	0	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x)))))
cost-diff	704	(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
cost-diff	0	#s(approx (- (cos y) (* z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y (fma.f64 (.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y (fma.f64 (.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y (fma.f64 (.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64)))))
cost-diff	512	(-.f64 (.f64 y (fma.f64 (.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 z x))
cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) x)
cost-diff	0	#s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) x))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) x)))
cost-diff	320	(fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (*.f64 x #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (*.f64 z y))
cost-diff	0	(neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (*.f64 z y)))
cost-diff	0	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (*.f64 z y))))
cost-diff	0	#s(approx (- (cos y) (* z (/ (sin y) x))) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))
cost-diff	0	(.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))))
cost-diff	0	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))))
cost-diff	704	(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))

Rules

8 762×	`lower-fma.f32`
8 754×	`lower-fma.f64`
3 624×	`lower-*.f32`
3 604×	`lower-*.f64`
1 934×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	525
0	102	509
1	209	508
2	448	504
3	1019	504
4	2235	494
5	4419	493
6	6662	493
0	8159	478

Stop Event

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

Calls

Call 1

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

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

localize638.0ms (5.9%)

Memory

4.8MiB live, 500.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x)))))
accuracy	0.0078125	(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
accuracy	2.9401853811707697	(*.f64 (sin.f64 y) (/.f64 z x))
accuracy	6.028520394667392	(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
accuracy	2.6900685923772296	(fma.f64 (*.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
accuracy	5.105439851622881	(-.f64 (.f64 y (fma.f64 (.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 z x))
accuracy	6.028520394667392	(.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y (fma.f64 (.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64))))
accuracy	28.28828032192803	#s(approx (- (cos y) (* z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y (fma.f64 (.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64)))
accuracy	0.09765625	(fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (*.f64 x #s(literal -1/2 binary64)))
accuracy	8.491901347928897	(.f64 x (.f64 y y))
accuracy	25.95172477818279	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) x)))
accuracy	31.013660462660628	#s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) x))
accuracy	0	(*.f64 z y)
accuracy	0	(neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (*.f64 z y)))
accuracy	31.07830222529622	#s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (*.f64 z y))
accuracy	37.19443911118701	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (*.f64 z y))))
accuracy	0.13671875	(/.f64 (cos.f64 y) z)
accuracy	0.15625	(/.f64 (sin.f64 y) x)
accuracy	0.203125	(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
accuracy	6.028520394667392	(.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))))

Samples

365.0ms	71×	2	valid
161.0ms	131×	0	valid
39.0ms	48×	1	valid
10.0ms	6×	3	valid

Compiler

Compiled 345 to 64 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 538.0ms

ival-cos: 284.0ms (52.8% of total)

ival-mult: 176.0ms (32.7% of total)

adjust: 21.0ms (3.9% of total)

ival-div: 17.0ms (3.2% of total)

ival-add: 13.0ms (2.4% of total)

ival-sub: 9.0ms (1.7% of total)

const: 7.0ms (1.3% of total)

ival-sin: 6.0ms (1.1% of total)

ival-neg: 3.0ms (0.6% of total)

exact: 1.0ms (0.2% of total)

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

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

series53.0ms (0.5%)

Memory

11.3MiB live, 88.3MiB allocated

Counts

25 → 768

Calls

Call 1

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

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

Calls

192 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(* z (- (/ (cos y) z) (/ (sin y) x)))
1.0ms	x	@	0	(- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x))
1.0ms	z	@	0	(- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x))
1.0ms	y	@	inf	(* z (- (/ (cos y) z) (/ (sin y) x)))
1.0ms	z	@	inf	(- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x))

simplify293.0ms (2.7%)

Memory

-55.7MiB live, 402.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 382×	`lower-fma.f64`
9 382×	`lower-fma.f32`
7 044×	`lower-*.f64`
7 044×	`lower-*.f32`
2 592×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	573	8615
1	1934	8450
2	6740	8362
0	8749	7981

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 758

Calls

Call 1

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

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

rewrite446.0ms (4.1%)

Memory

22.3MiB live, 499.2MiB allocated

Rules

7 576×	`lower-*.f32`
7 556×	`lower-*.f64`
3 804×	`lower-/.f32`
3 796×	`lower-/.f64`
3 602×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	447
0	102	435
1	426	408
2	3301	408
0	10132	405

Stop Event

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

Counts

25 → 292

Calls

Call 1

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

Outputs
(+.f64 (.f64 z (/.f64 (cos.f64 y) z)) (neg.f64 (.f64 (sin.f64 y) (/.f64 z x))))
(+.f64 (.f64 (/.f64 (cos.f64 y) z) z) (neg.f64 (.f64 (sin.f64 y) (/.f64 z x))))
(fma.f64 z (/.f64 (cos.f64 y) z) (neg.f64 (*.f64 (sin.f64 y) (/.f64 z x))))
(fma.f64 (/.f64 (cos.f64 y) z) z (neg.f64 (*.f64 (sin.f64 y) (/.f64 z x))))
(/.f64 (.f64 z (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 (cos.f64 y) x))) (*.f64 z x))
(/.f64 (.f64 z (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 (sin.f64 y) x) (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))))
(/.f64 (.f64 z (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))) (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(/.f64 (.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (.f64 (cos.f64 y) x)) z) (*.f64 z x))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) x) #s(literal 3 binary64))) z) (fma.f64 (/.f64 (sin.f64 y) x) (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) (/.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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) z) (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #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 (cos.f64 y) (neg.f64 (.f64 (sin.f64 y) (/.f64 z x)))))))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (*.f64 x x))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 x x))) (-.f64 (cos.f64 y) (neg.f64 (.f64 (sin.f64 y) (/.f64 z x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (*.f64 x x)))) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 x x)))) (.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(pow.f64 (/.f64 (fma.f64 (.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (*.f64 x x)))) #s(literal -1 binary64))
(.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 x)))
(/.f64 (sin.f64 y) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 x)))
(pow.f64 (/.f64 x (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z (cos.f64 y))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (cos.f64 y) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 y)) z))
(/.f64 (cos.f64 y) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (cos.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (neg.f64 (cos.f64 y))) (neg.f64 (neg.f64 z)))
(pow.f64 (/.f64 z (cos.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z (cos.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z))
(*.f64 (neg.f64 (cos.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)))
(.f64 y (.f64 y x))
(.f64 x (.f64 y y))
(.f64 (.f64 y y) x)
(.f64 (.f64 y x) y)
(+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z y) (.f64 x #s(literal 6 binary64))))
(+.f64 (/.f64 (.f64 z y) (.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 z (.f64 y #s(literal 1/6 binary64))) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 x x)) (fma.f64 z (.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 z (.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64))))
(fma.f64 z (*.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 y (*.f64 z (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 z y)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 z y) #s(literal -1/2 binary64))
(fma.f64 (*.f64 y (/.f64 #s(literal 1/6 binary64) x)) z #s(literal -1/2 binary64))
(fma.f64 (.f64 z (.f64 y #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) x) z) y #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 z (.f64 y #s(literal 1/6 binary64))) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 z (.f64 (.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))))) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 (.f64 z (.f64 y #s(literal 1/6 binary64))) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (*.f64 x x)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64)) (+.f64 (/.f64 (.f64 (.f64 z (.f64 y #s(literal 1/6 binary64))) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 z (.f64 (.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 (/.f64 (.f64 z y) (.f64 x #s(literal 6 binary64))) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 (.f64 z (*.f64 y #s(literal 1/6 binary64))) #s(literal -1/2 binary64))) x)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 z (.f64 y #s(literal 1/6 binary64))) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 x x)) #s(literal -1/4 binary64)) (fma.f64 z (*.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64))) (neg.f64 (+.f64 (/.f64 (.f64 (.f64 z (.f64 y #s(literal 1/6 binary64))) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 z (.f64 (.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 z (.f64 y #s(literal 1/6 binary64))) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 x x)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 z (*.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 z (.f64 y #s(literal 1/6 binary64))) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 x x))) (-.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z y) (.f64 x #s(literal 6 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 z (.f64 y #s(literal 1/6 binary64))) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 x x)) (fma.f64 z (.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64))) (.f64 (fma.f64 z (.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 z (.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) (fma.f64 z (*.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 z (.f64 y #s(literal 1/6 binary64))) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 z (.f64 (.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64))))) (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z (.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 (.f64 z (.f64 y #s(literal 1/6 binary64))) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (*.f64 x x)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 z (.f64 y #s(literal 1/6 binary64))) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 z (.f64 (*.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/2 binary64)))))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 z (.f64 y #s(literal 1/6 binary64))) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 y (/.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 z (/.f64 x (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 z (sin.f64 y)) x)
(/.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (neg.f64 x))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 x (sin.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 x z))
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 x (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 x z))
(pow.f64 (/.f64 x (*.f64 z (sin.f64 y))) #s(literal -1 binary64))
(*.f64 z (/.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) (/.f64 z x))
(*.f64 (/.f64 (sin.f64 y) x) z)
(.f64 (.f64 z (sin.f64 y)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z x) (sin.f64 y))

eval203.0ms (1.9%)

Memory: 4.1MiB live, 190.0MiB allocated
Compiler: Compiled 23 810 to 1 608 computations (93.2% saved)

prune571.0ms (5.2%)

Memory

-6.8MiB live, 286.4MiB allocated

Pruning

50 alts after pruning (42 fresh and 8 done)

	Pruned	Kept	Total
New	1 075	14	1 089
Fresh	6	28	34
Picked	2	3	5
Done	0	5	5
Total	1 083	50	1 133

Accuracy

100.0%

Counts

1 133 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	76.1%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	51.9%	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	49.1%	(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
	38.0%	(/.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
	59.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
	32.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
	59.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	36.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
	41.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
	62.7%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
	51.4%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
	25.9%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) z) (sin.f64 y)))
	25.6%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (sin.f64 y) z)))
	59.2%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	90.0%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (neg.f64 x) (fma.f64 z (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)))))
✓	19.1%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (*.f64 z y))))
	19.1%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 z #s(literal -1/36 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))))
	19.2%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (.f64 y (fma.f64 y (.f64 z (*.f64 #s(literal -1/6 binary64) y)) z)))))
	19.2%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/36 binary64) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/315 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 #s(literal -1/36 binary64) z))) (fma.f64 z #s(literal -1/5040 binary64) (.f64 z #s(literal -1/720 binary64))))) (.f64 z #s(literal -13/360 binary64)))) (.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
	19.1%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 z #s(literal -13/360 binary64) (.f64 z #s(literal 1/36 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
	19.1%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
	41.8%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 (sin.f64 y) (neg.f64 z)))
	62.3%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) (/.f64 z x)))))
	32.6%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( (sin y) (/ z x))) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))))
✓	44.5%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y (fma.f64 (.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64)))))
	44.8%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y #s(approx (+ ( (* z y) (/ 1/6 x)) -1/2) (/.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) x))) (/.f64 z x)) #s(literal 1 binary64)))))
	45.2%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)) #s(literal 1 binary64)))))
	34.6%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (*.f64 y y))) x)) #s(literal 1 binary64)))))
	45.9%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)))))
	34.6%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
✓	90.4%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))))
	62.5%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x)))))))
	90.3%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (.f64 z (-.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64))) (/.f64 (sin.f64 y) x))))))
	32.5%	#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))))))
	34.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
	22.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))))))
	32.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
✓	52.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	34.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
✓	59.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓	34.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
✓	36.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	47.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
	42.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
	34.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 #s(literal -1/720 binary64) x) (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
	34.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2)) (.f64 y (.f64 y (.f64 x (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) x)))
	34.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2)) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x)))
	34.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)))
	3.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) #s(approx (+ (* (* y y) (+ (* 1/24 (* x (* y y))) (* x -1/2))) x) (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x (*.f64 y y))))))

Compiler

Compiled 2 444 to 865 computations (64.6% saved)

regimes164.0ms (1.5%)

Memory

-0.3MiB live, 154.7MiB allocated

Counts

82 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (.f64 y (fma.f64 y (.f64 z (*.f64 #s(literal -1/6 binary64) y)) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) #s(approx (+ (* (* y y) (+ (* 1/24 (* x (* y y))) (* x -1/2))) x) (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x (*.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64)))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2)) (.f64 y (.f64 y (.f64 x (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (*.f64 y y))) x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2)) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 z #s(literal -13/360 binary64) (.f64 z #s(literal 1/36 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 (fma.f64 z #s(literal 1/36 binary64) (.f64 z #s(literal -13/360 binary64))) y) y (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 #s(literal -1/720 binary64) x) (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y #s(approx (+ ( (* z y) (/ 1/6 x)) -1/2) (/.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) x))) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 z #s(literal -1/36 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y (fma.f64 (.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (-.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/36 binary64) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/315 binary64) (fma.f64 z #s(literal -1/720 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 z #s(literal -1/36 binary64)))) (.f64 z #s(literal -1/5040 binary64))))) (.f64 z #s(literal -13/360 binary64)))) (*.f64 z #s(literal 1/6 binary64))))) z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/36 binary64) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/315 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 #s(literal -1/36 binary64) z))) (fma.f64 z #s(literal -1/5040 binary64) (.f64 z #s(literal -1/720 binary64))))) (.f64 z #s(literal -13/360 binary64)))) (.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( (sin y) (/ z x))) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) (/.f64 z x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x)))))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) z) (sin.f64 y)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x))))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (sin.f64 y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(/.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 z (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (.f64 z (-.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64))) (/.f64 (sin.f64 y) x))))))
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(-.f64 (exp.f64 (log.f64 (.f64 x (cos.f64 y)))) (.f64 z (sin.f64 y)))
(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (neg.f64 x) (fma.f64 z (.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (neg.f64 x) (fma.f64 z (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x x) (.f64 z (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 y))))) z)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64)) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))

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

Calls

4 calls:

55.0ms	z
41.0ms	x
33.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
29.0ms	y

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes74.0ms (0.7%)

Memory

12.6MiB live, 169.9MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (.f64 y (fma.f64 y (.f64 z (*.f64 #s(literal -1/6 binary64) y)) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) #s(approx (+ (* (* y y) (+ (* 1/24 (* x (* y y))) (* x -1/2))) x) (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x (*.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64)))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2)) (.f64 y (.f64 y (.f64 x (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (*.f64 y y))) x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2)) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 z #s(literal -13/360 binary64) (.f64 z #s(literal 1/36 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 (fma.f64 z #s(literal 1/36 binary64) (.f64 z #s(literal -13/360 binary64))) y) y (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 #s(literal -1/720 binary64) x) (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y #s(approx (+ ( (* z y) (/ 1/6 x)) -1/2) (/.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) x))) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 z #s(literal -1/36 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y (fma.f64 (.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (-.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/36 binary64) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/315 binary64) (fma.f64 z #s(literal -1/720 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 z #s(literal -1/36 binary64)))) (.f64 z #s(literal -1/5040 binary64))))) (.f64 z #s(literal -13/360 binary64)))) (*.f64 z #s(literal 1/6 binary64))))) z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/36 binary64) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/315 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 #s(literal -1/36 binary64) z))) (fma.f64 z #s(literal -1/5040 binary64) (.f64 z #s(literal -1/720 binary64))))) (.f64 z #s(literal -13/360 binary64)))) (.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( (sin y) (/ z x))) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) (/.f64 z x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x)))))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

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

Calls

4 calls:

18.0ms	x
18.0ms	z
17.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
17.0ms	y

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes81.0ms (0.7%)

Memory

1.2MiB live, 117.8MiB allocated

Counts

54 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (.f64 y (fma.f64 y (.f64 z (*.f64 #s(literal -1/6 binary64) y)) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) #s(approx (+ (* (* y y) (+ (* 1/24 (* x (* y y))) (* x -1/2))) x) (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x (*.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64)))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2)) (.f64 y (.f64 y (.f64 x (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (*.f64 y y))) x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2)) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 z #s(literal -13/360 binary64) (.f64 z #s(literal 1/36 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 (fma.f64 z #s(literal 1/36 binary64) (.f64 z #s(literal -13/360 binary64))) y) y (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 #s(literal -1/720 binary64) x) (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y #s(approx (+ ( (* z y) (/ 1/6 x)) -1/2) (/.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) x))) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 z #s(literal -1/36 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y (fma.f64 (.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (-.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/36 binary64) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/315 binary64) (fma.f64 z #s(literal -1/720 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 z #s(literal -1/36 binary64)))) (.f64 z #s(literal -1/5040 binary64))))) (.f64 z #s(literal -13/360 binary64)))) (*.f64 z #s(literal 1/6 binary64))))) z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/36 binary64) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/315 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 #s(literal -1/36 binary64) z))) (fma.f64 z #s(literal -1/5040 binary64) (.f64 z #s(literal -1/720 binary64))))) (.f64 z #s(literal -13/360 binary64)))) (.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( (sin y) (/ z x))) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) (/.f64 z x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (*.f64 z (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x)))))))

Outputs

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

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

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

Calls

4 calls:

31.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
16.0ms	x
16.0ms	y
15.0ms	z

Results

Accuracy	Segments	Branch
86.1%	3	`x`
76.1%	1	`y`
89.0%	3	`z`
76.1%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes89.0ms (0.8%)

Memory

1.5MiB live, 81.4MiB allocated

Counts

46 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (.f64 y (fma.f64 y (.f64 z (*.f64 #s(literal -1/6 binary64) y)) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) #s(approx (+ (* (* y y) (+ (* 1/24 (* x (* y y))) (* x -1/2))) x) (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x (*.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64)))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2)) (.f64 y (.f64 y (.f64 x (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (*.f64 y y))) x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2)) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 z #s(literal -13/360 binary64) (.f64 z #s(literal 1/36 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 (fma.f64 z #s(literal 1/36 binary64) (.f64 z #s(literal -13/360 binary64))) y) y (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 #s(literal -1/720 binary64) x) (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y #s(approx (+ ( (* z y) (/ 1/6 x)) -1/2) (/.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) x))) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 z #s(literal -1/36 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y (fma.f64 (.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (-.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/36 binary64) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/315 binary64) (fma.f64 z #s(literal -1/720 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 z #s(literal -1/36 binary64)))) (.f64 z #s(literal -1/5040 binary64))))) (.f64 z #s(literal -13/360 binary64)))) (*.f64 z #s(literal 1/6 binary64))))) z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/36 binary64) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/315 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 #s(literal -1/36 binary64) z))) (fma.f64 z #s(literal -1/5040 binary64) (.f64 z #s(literal -1/720 binary64))))) (.f64 z #s(literal -13/360 binary64)))) (.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (*.f64 (sin.f64 y) (neg.f64 z)))

Outputs

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

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

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

Calls

4 calls:

45.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
15.0ms	z
13.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
59.3%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
78.0%	4	`y`
79.2%	5	`x`
78.2%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes29.0ms (0.3%)

Memory

10.5MiB live, 48.6MiB allocated

Counts

44 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (.f64 y (fma.f64 y (.f64 z (*.f64 #s(literal -1/6 binary64) y)) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) #s(approx (+ (* (* y y) (+ (* 1/24 (* x (* y y))) (* x -1/2))) x) (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x (*.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64)))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2)) (.f64 y (.f64 y (.f64 x (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (*.f64 y y))) x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2)) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 z #s(literal -13/360 binary64) (.f64 z #s(literal 1/36 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 (fma.f64 z #s(literal 1/36 binary64) (.f64 z #s(literal -13/360 binary64))) y) y (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 #s(literal -1/720 binary64) x) (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y #s(approx (+ ( (* z y) (/ 1/6 x)) -1/2) (/.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) x))) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 z #s(literal -1/36 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y (fma.f64 (.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (-.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/36 binary64) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/315 binary64) (fma.f64 z #s(literal -1/720 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 z #s(literal -1/36 binary64)))) (.f64 z #s(literal -1/5040 binary64))))) (.f64 z #s(literal -13/360 binary64)))) (*.f64 z #s(literal 1/6 binary64))))) z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/36 binary64) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/315 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 #s(literal -1/36 binary64) z))) (fma.f64 z #s(literal -1/5040 binary64) (.f64 z #s(literal -1/720 binary64))))) (.f64 z #s(literal -13/360 binary64)))) (.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

Outputs

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

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

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

Calls

2 calls:

13.0ms	y
13.0ms	z

Results

Accuracy	Segments	Branch
76.3%	3	`y`
70.4%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes58.0ms (0.5%)

Memory

-8.1MiB live, 82.4MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (*.f64 z y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (.f64 y (fma.f64 y (.f64 z (*.f64 #s(literal -1/6 binary64) y)) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) #s(approx (+ (* (* y y) (+ (* 1/24 (* x (* y y))) (* x -1/2))) x) (.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x (*.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 z (.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64)))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2)) (.f64 y (.f64 y (.f64 x (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 z (*.f64 y y))) x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2)) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y #s(approx (- (* y (+ (* (* z y) (/ 1/6 x)) -1/2)) (/ z x)) (/.f64 (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 z #s(literal -13/360 binary64) (.f64 z #s(literal 1/36 binary64)))) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 (fma.f64 z #s(literal 1/36 binary64) (.f64 z #s(literal -13/360 binary64))) y) y (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 #s(literal -1/720 binary64) x) (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y #s(approx (+ ( (* z y) (/ 1/6 x)) -1/2) (/.f64 (.f64 y (.f64 z #s(literal 1/6 binary64))) x))) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (neg.f64 #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 z #s(literal -1/36 binary64)))) (*.f64 z #s(literal -1/6 binary64))) z)))))
#s(approx (/ 1 (/ 1 (- (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (fma.f64 y (-.f64 (.f64 y (fma.f64 (.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))) (/.f64 z x)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (-.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/36 binary64) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/315 binary64) (fma.f64 z #s(literal -1/720 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 z #s(literal -1/36 binary64)))) (.f64 z #s(literal -1/5040 binary64))))) (.f64 z #s(literal -13/360 binary64)))) (*.f64 z #s(literal 1/6 binary64))))) z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (neg (* (+ (* -1/2 (cos (* y -2))) 1/2) (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/36 binary64) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/315 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 z #s(literal 2/45 binary64) (fma.f64 #s(literal -1/120 binary64) z (.f64 #s(literal -1/36 binary64) z))) (fma.f64 z #s(literal -1/5040 binary64) (.f64 z #s(literal -1/720 binary64))))) (.f64 z #s(literal -13/360 binary64)))) (.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))

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

Calls

4 calls:

17.0ms	z
13.0ms	y
12.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
12.0ms	x

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)

regimes44.0ms (0.4%)

Memory

-28.7MiB live, 10.3MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

4 calls:

38.0ms	y
2.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
36.5%	1	`y`
42.6%	3	`x`
36.5%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
42.7%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB 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 x #s(approx (cos y) #s(literal 1 binary64))))

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

Calls

2 calls:

1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
36.5%	1	`x`
36.5%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch46.0ms (0.4%)

Memory

5.7MiB live, 44.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	3.5521283771029324e-114	5.5363343519041285e-96
16.0ms	-2.76017922172055e-109	-1.9239224851697928e-112

Samples

33.0ms

288×

valid

Compiler

Compiled 411 to 284 computations (30.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-cos: 15.0ms (58.4% of total)

ival-sin: 6.0ms (23.3% of total)

ival-mult: 4.0ms (15.6% of total)

ival-sub: 1.0ms (3.9% of total)

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

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

bsearch38.0ms (0.4%)

Memory

30.5MiB live, 68.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.9403567904523346e+128	1.0174946567755365e+130
22.0ms	-1.841812580108235e+99	-1.114572001737113e+78

Samples

25.0ms

288×

valid

Compiler

Compiled 357 to 248 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-cos: 8.0ms (43.4% of total)

ival-sin: 6.0ms (32.5% of total)

ival-mult: 4.0ms (21.7% of total)

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

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

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

bsearch33.0ms (0.3%)

Memory

-24.6MiB live, 53.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	22397500.54906609	29546723.803868316
20.0ms	-32180116774091.9	-0.7092721015647989

Samples

19.0ms

208×

valid

Compiler

Compiled 392 to 248 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-cos: 5.0ms (35.3% of total)

ival-sin: 5.0ms (35.3% of total)

ival-mult: 3.0ms (21.2% of total)

ival-sub: 1.0ms (7.1% of total)

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

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

bsearch23.0ms (0.2%)

Memory

1.1MiB live, 37.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.0174946567755365e+130	4.617139750270391e+131
4.0ms	-3.0959167508646714e+104	-2.7612268556113162e+104

Samples

12.0ms

144×

valid

Compiler

Compiled 186 to 122 computations (34.4% saved)

Precisions

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

ival-cos: 3.0ms (33.7% of total)

ival-sin: 3.0ms (33.7% of total)

ival-mult: 2.0ms (22.5% of total)

ival-sub: 1.0ms (11.2% of total)

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

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

simplify10.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
22×	`+-commutative_binary64`
22×	`sub-neg_binary64`
18×	`cancel-sign-sub-inv_binary64`
14×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	270
1	95	270
2	124	270
3	136	270
4	142	270
5	143	270

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -3384606560206073/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3140015851753681/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -102000000000000002687602952851414048122045144014779192003711156527675454322883713197318078464 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 z #s(literal 580000000000000005122680735414077398192178759527898907296904398053591474972345541121721171158954922839149864386484034794250305536 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))))
(if (<=.f64 y #s(literal -3/4 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 23000000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (.f64 x #s(literal 1/2 binary64))) z)))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 z #s(literal -289999999999999984641202209749881384530395046208638800019716193718693045924309478647654577680304276766720 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 y (neg.f64 z)))) (if (<=.f64 z #s(literal 19500000000000001042638756434273748572539115679110483741161715801523395163876288437537712129151089576049497838361069528142762213376 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))

Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -3384606560206073/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3140015851753681/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -3384606560206073/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 3140015851753681/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (sin.f64 y) z))))
(if (<=.f64 z #s(literal -102000000000000002687602952851414048122045144014779192003711156527675454322883713197318078464 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 z #s(literal 580000000000000005122680735414077398192178759527898907296904398053591474972345541121721171158954922839149864386484034794250305536 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))))
(if (<=.f64 z #s(literal -102000000000000002687602952851414048122045144014779192003711156527675454322883713197318078464 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 (sin.f64 y) z))) (if (<=.f64 z #s(literal 580000000000000005122680735414077398192178759527898907296904398053591474972345541121721171158954922839149864386484034794250305536 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (neg.f64 (*.f64 (sin.f64 y) z)))))
(if (<=.f64 y #s(literal -3/4 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 23000000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (.f64 x #s(literal 1/2 binary64))) z)))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -3/4 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 23000000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (.f64 y (fma.f64 y (fma.f64 (.f64 y z) #s(literal -1/6 binary64) (.f64 x #s(literal 1/2 binary64))) z)))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
(if (<=.f64 z #s(literal -289999999999999984641202209749881384530395046208638800019716193718693045924309478647654577680304276766720 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 y (neg.f64 z)))) (if (<=.f64 z #s(literal 19500000000000001042638756434273748572539115679110483741161715801523395163876288437537712129151089576049497838361069528142762213376 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))))
(if (<=.f64 z #s(literal -289999999999999984641202209749881384530395046208638800019716193718693045924309478647654577680304276766720 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (neg.f64 (.f64 y z)))) (if (<=.f64 z #s(literal 19500000000000001042638756434273748572539115679110483741161715801523395163876288437537712129151089576049497838361069528142762213376 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (neg.f64 (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))

soundness894.0ms (8.2%)

Memory

-21.0MiB live, 502.3MiB allocated

Rules

12 044×	`lower-fma.f64`
12 044×	`lower-fma.f32`
10 986×	`lower-fma.f64`
10 986×	`lower-fma.f32`
7 910×	`lower-fma.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
0	604	6235
1	2062	6055
2	7615	6018
0	8025	5725
0	8	19
0	13	19
1	33	19
2	210	19
3	1964	19
0	8379	19

Stop Event

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

Compiler

Compiled 258 to 123 computations (52.3% saved)

preprocess85.0ms (0.8%)

Memory: 20.1MiB live, 174.5MiB allocated
Compiler: Compiled 318 to 112 computations (64.8% 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%)

sample1.5s (14.1%)

explain122.0ms (1.1%)

preprocess60.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.1%)

localize34.0ms (0.3%)

series8.0ms (0.1%)

simplify589.0ms (5.4%)

rewrite412.0ms (3.8%)

eval49.0ms (0.5%)

prune66.0ms (0.6%)

simplify284.0ms (2.6%)

localize183.0ms (1.7%)

series72.0ms (0.7%)

simplify353.0ms (3.2%)

rewrite341.0ms (3.1%)

eval399.0ms (3.7%)

prune419.0ms (3.8%)

simplify333.0ms (3.1%)

localize378.0ms (3.5%)

series94.0ms (0.9%)

simplify258.0ms (2.4%)

rewrite308.0ms (2.8%)

eval191.0ms (1.7%)

prune220.0ms (2%)

simplify310.0ms (2.8%)

localize638.0ms (5.9%)

series53.0ms (0.5%)

simplify293.0ms (2.7%)

rewrite446.0ms (4.1%)

eval203.0ms (1.9%)

prune571.0ms (5.2%)

regimes164.0ms (1.5%)

regimes74.0ms (0.7%)

regimes81.0ms (0.7%)

regimes89.0ms (0.8%)

regimes29.0ms (0.3%)

regimes58.0ms (0.5%)

regimes44.0ms (0.4%)

regimes3.0ms (0%)

bsearch46.0ms (0.4%)

bsearch38.0ms (0.4%)

bsearch33.0ms (0.3%)

bsearch23.0ms (0.2%)

simplify10.0ms (0.1%)

soundness894.0ms (8.2%)

preprocess85.0ms (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