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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (13.5%)

Memory

40.2MiB live, 1 641.6MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 685.0ms

ival-cos: 261.0ms (38.1% of total)

ival-sin: 242.0ms (35.3% of total)

ival-mult: 121.0ms (17.7% of total)

ival-sub: 52.0ms (7.6% of total)

ival-true: 6.0ms (0.9% of total)

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

Bogosity

explain322.0ms (3.3%)

Memory

-16.6MiB live, 185.3MiB 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

274.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-cos: 12.0ms (36.2% of total)

ival-sin: 11.0ms (33.2% of total)

ival-mult: 7.0ms (21.1% of total)

ival-sub: 2.0ms (6% of total)

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

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

preprocess80.0ms (0.8%)

Memory

-18.7MiB live, 58.8MiB allocated

Algorithm

1×	egg-herbie

Rules

104×	`lower-fma.f64`
104×	`lower-fma.f32`
89×	`distribute-lft-neg-in`
83×	`associate-r`
74×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify12.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB 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

104×	`lower-fma.f64`
104×	`lower-fma.f32`
72×	`lower-*.f32`
70×	`lower-*.f64`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize137.0ms (1.4%)

Memory

-3.5MiB live, 37.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.0078125	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.1171875	(*.f64 z (sin.f64 y))
accuracy	0.12890625	(*.f64 x (cos.f64 y))

Samples

129.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-cos: 108.0ms (89.3% of total)

ival-sin: 5.0ms (4.1% of total)

ival-sub: 4.0ms (3.3% of total)

ival-mult: 3.0ms (2.5% of total)

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

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

series12.0ms (0.1%)

Memory

-19.6MiB live, 17.5MiB 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
3.0ms	x	@	-inf	(- (* x (cos y)) (* z (sin y)))
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)))

simplify195.0ms (2%)

Memory

-2.1MiB live, 190.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 022×	`lower-fma.f64`
6 022×	`lower-fma.f32`
2 341×	`lower-*.f64`
2 341×	`lower-*.f32`
898×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite366.0ms (3.8%)

Memory

18.8MiB live, 411.0MiB allocated

Rules

5 493×	`lower-fma.f64`
5 493×	`lower-fma.f32`
2 178×	`lower-*.f32`
2 176×	`lower-*.f64`
1 933×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 231

Calls

Call 1

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

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

eval82.0ms (0.8%)

Memory: 12.7MiB live, 83.2MiB allocated
Compiler: Compiled 15 516 to 726 computations (95.3% saved)

prune67.0ms (0.7%)

Memory

4.0MiB live, 155.7MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	313	12	325
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	314	12	326

Accuracy

99.9%

Counts

326 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.9%	(fma.f64 (.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
▶	99.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
	63.9%	(fma.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
	43.5%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
	22.0%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 4 binary64))) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
	78.0%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
▶	51.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y z) (.f64 #s(literal 1/2 binary64) x)) y z) (neg.f64 y) x))
	51.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x z) (neg.f64 y) x))
▶	52.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 y) z x))
▶	44.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	57.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 522 to 290 computations (44.4% saved)

simplify283.0ms (2.9%)

Memory

-10.5MiB live, 147.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
cost-diff	0	(sin.f64 y)
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
cost-diff	0	(fma.f64 #s(literal -1/6 binary64) (.f64 y z) (.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y z) (.f64 #s(literal 1/2 binary64) x)) y z)
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y z) (.f64 #s(literal 1/2 binary64) x)) y z) (neg.f64 y) x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y z) (.f64 #s(literal 1/2 binary64) x)) y z) (neg.f64 y) x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) z x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 y) z x))
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	(neg.f64 z)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))

Rules

2 612×	`lower-fma.f32`
2 606×	`lower-fma.f64`
836×	`lower-*.f32`
832×	`lower-*.f64`
378×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	192
0	51	188
1	86	188
2	146	188
3	341	188
4	852	188
5	2269	188
6	4063	188
7	4517	188
8	4635	188
9	4833	188
10	4876	188
11	4906	188
12	4984	188
13	4988	188
14	4988	188
15	5036	188
16	5046	188
17	5046	188
18	5046	188
19	5046	188
20	5054	188
0	5054	188

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize195.0ms (2%)

Memory

-1.2MiB live, 258.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.046875	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
accuracy	0.12890625	(*.f64 (cos.f64 y) x)
accuracy	0.17578125	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)))
accuracy	0.2109375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
accuracy	0	(sin.f64 y)
accuracy	0	(neg.f64 z)
accuracy	0.1171875	(*.f64 (neg.f64 z) (sin.f64 y))
accuracy	35.200627415597964	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0.03515625	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y z) (.f64 #s(literal 1/2 binary64) x)) y z) (neg.f64 y) x)
accuracy	0.0390625	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y z) (.f64 #s(literal 1/2 binary64) x)) y z)
accuracy	0.16796875	(fma.f64 #s(literal -1/6 binary64) (.f64 y z) (.f64 #s(literal 1/2 binary64) x))
accuracy	31.169687243714247	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y z) (.f64 #s(literal 1/2 binary64) x)) y z) (neg.f64 y) x))
accuracy	0	(fma.f64 (neg.f64 y) z x)
accuracy	0	(neg.f64 y)
accuracy	30.660453772512344	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 y) z x))
accuracy	0	(neg.f64 z)
accuracy	0	(cos.f64 y)
accuracy	0.046875	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
accuracy	0.12890625	(*.f64 (cos.f64 y) x)

Samples

93.0ms

256×

valid

Compiler

Compiled 177 to 32 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 43.0ms (59.1% of total)

ival-sin: 7.0ms (9.6% of total)

ival-add: 6.0ms (8.2% of total)

ival-cos: 6.0ms (8.2% of total)

const: 4.0ms (5.5% of total)

ival-div: 3.0ms (4.1% of total)

ival-neg: 2.0ms (2.7% of total)

ival-sub: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory

1.4MiB live, 75.9MiB allocated

Counts

17 → 492

Calls

Call 1

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

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

Calls

123 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x)
3.0ms	x	@	inf	(+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x)
1.0ms	z	@	inf	(neg z)
1.0ms	x	@	-inf	(+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x)
1.0ms	x	@	0	(+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x)

simplify266.0ms (2.8%)

Memory

22.7MiB live, 290.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 210×	`lower-fma.f64`
4 210×	`lower-fma.f32`
3 374×	`lower-*.f64`
3 374×	`lower-*.f32`
900×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	456	5006
1	1533	4829
2	5307	4793
0	8084	4605

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 478

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

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

rewrite271.0ms (2.8%)

Memory

-12.9MiB live, 320.6MiB allocated

Rules

3 442×	`lower-fma.f32`
3 436×	`lower-fma.f64`
2 514×	`lower-*.f32`
2 510×	`lower-*.f64`
1 947×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	153
0	51	149
1	188	149
2	1189	149
0	8415	149

Stop Event

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

Counts

17 → 605

Calls

Call 1

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

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

eval188.0ms (2%)

Memory: 18.5MiB live, 285.0MiB allocated
Compiler: Compiled 35 105 to 1 947 computations (94.5% saved)

prune290.0ms (3%)

Memory

-15.4MiB live, 352.2MiB allocated

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	1 204	33	1 237
Fresh	4	3	7
Picked	2	3	5
Done	0	0	0
Total	1 210	39	1 249

Accuracy

100.0%

Counts

1 249 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
▶	78.0%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	63.9%	(fma.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
	52.7%	(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	43.5%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
	22.0%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 4 binary64))) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)))))
	51.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) z (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))))
	56.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (* (cos y) x)) (*.f64 (cos.f64 y) x))))
	33.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))))
	56.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 (fma.f64 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) z (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
▶	36.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 #s(literal 1 binary64) x)))
	51.2%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x (neg.f64 z)) y x))
▶	89.4%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
	88.3%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (fma.f64 (neg.f64 (/.f64 (sin.f64 y) x)) z (cos.f64 y)) x))
	57.0%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (cos.f64 y) x))
	51.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* 1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) y) z)) y z) (neg.f64 y) x))
	44.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) z x))
▶	27.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (.f64 (.f64 (*.f64 y y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) z x))
✓	52.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 y) z x))
	34.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (neg.f64 y) x))
	34.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (.f64 (.f64 #s(literal -1/6 binary64) y) (*.f64 z y))) (neg.f64 y) x))
	21.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 z z))) (+.f64 x (*.f64 z y))))
	33.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (neg.f64 y) z x) (fma.f64 (neg.f64 y) z (neg.f64 x))) (fma.f64 (neg.f64 y) z (neg.f64 x))))
	14.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z))) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))))
	51.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) z) y (*.f64 #s(literal 1/2 binary64) x)) y z) y)))
	12.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 (*.f64 z z) (neg.f64 z)))) (sin.f64 y)))
	12.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (.f64 (.f64 z z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (sin.f64 y)))
✓	44.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	19.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y))))
	19.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y))))
	19.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
	34.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) x)))
	19.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z)))
	2.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 (.f64 (.f64 (.f64 y y) z) y) #s(literal 1/6 binary64))))
	42.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (*.f64 (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)) x)))
	44.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (*.f64 (-.f64 (/.f64 x z) y) z)))
	42.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (*.f64 (-.f64 (/.f64 x y) z) y)))
▶	19.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (*.f64 (neg.f64 y) z)))
	19.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))

Compiler

Compiled 1 400 to 791 computations (43.5% saved)

simplify118.0ms (1.2%)

Memory

23.0MiB live, 209.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
cost-diff	0	(neg.f64 z)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
cost-diff	0	(fma.f64 (.f64 (.f64 (*.f64 y y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) z x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (.f64 (.f64 (*.f64 y y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) z x))
cost-diff	64	(fma.f64 y y #s(literal 0 binary64))
cost-diff	1984	(.f64 (.f64 (*.f64 y y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) z)
cost-diff	0	#s(approx (+ (* (neg y) z) x) (*.f64 (neg.f64 y) z))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (*.f64 (neg.f64 y) z)))
cost-diff	0	(/.f64 (cos.f64 y) z)
cost-diff	0	(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
cost-diff	704	(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)

Rules

2 356×	`lower-*.f32`
2 350×	`lower-*.f64`
1 766×	`lower-fma.f32`
1 762×	`lower-fma.f64`
974×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	249
0	67	227
1	119	221
2	242	203
3	724	203
4	2883	199
5	4865	199
0	8141	199

Stop Event

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

Calls

Call 1

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

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

localize184.0ms (1.9%)

Memory

6.9MiB live, 248.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.046875	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
accuracy	0.12890625	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
accuracy	28.606384619808228	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.03515625	(.f64 (.f64 y y) (neg.f64 y))
accuracy	0.9569178274611024	(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
accuracy	30.660453772512344	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (.f64 (.f64 (*.f64 y y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) z x))
accuracy	41.42280219358503	(.f64 (.f64 (*.f64 y y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.2109375	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 #s(literal 1 binary64) x)))
accuracy	40.66613163657814	#s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 #s(literal 1 binary64) x))
accuracy	0	(*.f64 (neg.f64 y) z)
accuracy	0	(neg.f64 y)
accuracy	27.60879511922579	#s(approx (+ (* (neg y) z) x) (*.f64 (neg.f64 y) z))
accuracy	30.660453772512344	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (*.f64 (neg.f64 y) z)))
accuracy	0	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
accuracy	0.109375	(/.f64 (cos.f64 y) z)
accuracy	0.14453125	(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
accuracy	6.731491744851747	(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)

Samples

134.0ms

256×

valid

Compiler

Compiled 199 to 36 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-div: 31.0ms (33.4% of total)

ival-mult: 23.0ms (24.8% of total)

ival-sin: 18.0ms (19.4% of total)

ival-add: 11.0ms (11.8% of total)

ival-cos: 5.0ms (5.4% of total)

ival-neg: 3.0ms (3.2% of total)

ival-sub: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory

-24.9MiB live, 88.7MiB allocated

Counts

22 → 540

Calls

Call 1

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

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

Calls

135 calls:

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

simplify202.0ms (2.1%)

Memory

38.2MiB live, 308.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 799×	`lower-fma.f64`
4 799×	`lower-fma.f32`
2 996×	`lower-*.f64`
2 996×	`lower-*.f32`
1 507×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	4393
1	1101	4255
2	3654	4205
0	8781	4128

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 524

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)))))))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* 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 (+ (* -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)))
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x
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(+ (* -1 (* z (sin y))) (* x (cos y)))
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(/ x z)
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(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
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(/ (* x (cos y)) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
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(* -1 (sin y))
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(- (/ (* x (cos y)) z) (sin y))
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(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
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(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
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(/ 1 z)
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(/ (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)
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
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(- (* 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)))
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(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
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(* -1 (* z (sin y)))
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(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
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x
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(* -1 (* y (+ z (* -1 (/ x y)))))
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x
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x
(* x (+ 1 (* -1 (/ (* y z) x))))
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(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
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(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
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(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
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(* -1 (* y z))
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(* -1 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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x
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(+ (* -1 (* z (sin y))) (* x (cos y)))
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(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(/ 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 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 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos 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)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ x y)))
(* y (+ (* -1 z) (/ x y)))
(* y (+ (* -1 z) (/ x y)))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
(* -1 (* y (+ z (* -1 (/ x y)))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
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(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
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(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
x
(+ x (* -1 (* y z)))
(+ x (* 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)))
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(* 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
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
(* -1 (pow y 3))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)

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

rewrite275.0ms (2.8%)

Memory

1.0MiB live, 363.5MiB allocated

Rules

2 757×	`lower-fma.f32`
2 753×	`lower-fma.f64`
1 787×	`lower-*.f32`
1 781×	`lower-*.f64`
1 618×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	221
0	67	195
1	255	185
2	1680	173
0	9076	173

Stop Event

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

Counts

22 → 761

Calls

Call 1

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

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

eval203.0ms (2.1%)

Memory: -0.6MiB live, 348.2MiB allocated
Compiler: Compiled 26 572 to 2 575 computations (90.3% saved)

prune409.0ms (4.2%)

Memory

-25.5MiB live, 548.2MiB allocated

Pruning

48 alts after pruning (41 fresh and 7 done)

	Pruned	Kept	Total
New	1 368	22	1 390
Fresh	12	19	31
Picked	1	4	5
Done	0	3	3
Total	1 381	48	1 429

Accuracy

100.0%

Counts

1 429 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.2%	(fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)))) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	61.3%	(fma.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (neg.f64 (sin.f64 y))) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
✓	99.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
✓	78.0%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	51.8%	(fma.f64 #s(approx (sin y) (fma.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 y y) y)) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	63.9%	(fma.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
	52.7%	(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	43.5%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
	51.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) z (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))))
▶	56.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (* (cos y) x)) (*.f64 (cos.f64 y) x))))
▶	33.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))))
✓	36.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 #s(literal 1 binary64) x)))
	51.2%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x (neg.f64 z)) y x))
	89.2%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))))
	88.3%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) x) z (cos.f64 y)) x))
✓	89.4%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
▶	89.3%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) x (neg.f64 (sin.f64 y))) z))
	57.0%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (cos.f64 y) x))
	43.2%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (fma.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z) #s(literal -1 binary64)) y (/.f64 x z))) z))
	28.5%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z))
	46.6%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (*.f64 (/.f64 x z) (cos.f64 y))) z))
▶	51.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* 1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) y) z)) y z) (neg.f64 y) x))
	16.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) y) (/.f64 (neg.f64 y) (.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) z x))
	14.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (.f64 (.f64 (.f64 y y) (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) z x))
	12.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (.f64 (.f64 (.f64 y y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 (.f64 (.f64 y y) y) y)) (/.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal 1 binary64) (.f64 y y)))))) z x))
	27.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (.f64 (.f64 (.f64 y y) (neg.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))) z x))
✓	52.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 y) z x))
	34.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (.f64 (.f64 #s(literal 1/2 binary64) x) y)) (neg.f64 y) x))
	34.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (.f64 (.f64 #s(literal -1/6 binary64) y) (*.f64 z y))) (neg.f64 y) x))
	21.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (.f64 y y))) (+.f64 x (*.f64 z y))))
	33.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 (neg.f64 z) y x) (fma.f64 (neg.f64 z) y (neg.f64 x))) (fma.f64 (neg.f64 z) y (neg.f64 x))))
	12.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 (*.f64 z z) (neg.f64 z)))) (sin.f64 y)))
	12.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (.f64 (.f64 z z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (sin.f64 y)))
✓	44.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	19.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y))))
	19.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y))))
	19.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
▶	34.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) x)))
	19.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z)))
	2.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 (.f64 (.f64 (.f64 y y) z) y) #s(literal 1/6 binary64))))
	42.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (* (* (* y y) (neg y)) (/ 1 (+ (* y y) 0))) z) x) (*.f64 (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)) x)))
	42.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (* (* (* y y) (neg y)) (/ 1 (+ (* y y) 0))) z) x) (*.f64 (-.f64 (/.f64 x y) z) y)))
	8.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (.f64 (*.f64 (neg.f64 y) y) y) z))))
	11.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (.f64 (.f64 (/.f64 y (.f64 y y)) (/.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64))) z)))
	8.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z)))
	10.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (.f64 (.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) z))))
✓	19.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (*.f64 (neg.f64 y) z)))
	19.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))

Compiler

Compiled 1 713 to 957 computations (44.1% saved)

simplify181.0ms (1.9%)

Memory

2.3MiB live, 162.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	#s(approx (+ (* (neg z) (sin y)) (* (cos y) x)) (*.f64 (cos.f64 y) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (* (cos y) x)) (*.f64 (cos.f64 y) x)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (* (cos y) x)) (*.f64 (cos.f64 y) x))))
cost-diff	0	(/.f64 z (*.f64 x x))
cost-diff	0	(fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))))
cost-diff	0	#s(approx (+ (* -1/6 (* y z)) (* 1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) y) z))
cost-diff	0	(fma.f64 #s(approx (+ (* -1/6 (* y z)) (* 1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) y) z)) y z)
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* 1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) y) z)) y z) (neg.f64 y) x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* 1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) y) z)) y z) (neg.f64 y) x))
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) x)))
cost-diff	0	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) x (neg.f64 (sin.f64 y)))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) x (neg.f64 (sin.f64 y))) z))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y))
cost-diff	704	(.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) x (neg.f64 (sin.f64 y))) z)

Rules

3 260×	`lower-fma.f32`
3 255×	`lower-fma.f64`
1 548×	`lower-*.f32`
1 540×	`lower-*.f64`
990×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	391
0	87	377
1	148	367
2	266	367
3	601	363
4	1387	363
5	3075	363
6	6024	363
0	8348	355

Stop Event

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

Calls

Call 1

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

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

localize227.0ms (2.4%)

Memory

-26.0MiB live, 114.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(*.f64 (cos.f64 y) x)
accuracy	0.17578125	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (* (cos y) x)) (*.f64 (cos.f64 y) x)))
accuracy	0.2109375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (* (cos y) x)) (*.f64 (cos.f64 y) x))))
accuracy	27.47026782699881	#s(approx (+ (* (neg z) (sin y)) (* (cos y) x)) (*.f64 (cos.f64 y) x))
accuracy	0.2109375	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))))
accuracy	1.9297903147912854	(fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x))
accuracy	7.738769789141653	(/.f64 z (*.f64 x x))
accuracy	41.450117133602326	#s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (fma.f64 (/.f64 z (*.f64 x x)) y (/.f64 #s(literal 1 binary64) x)))
accuracy	0.22265625	(.f64 (.f64 #s(literal -1/6 binary64) y) z)
accuracy	0.35546875	(*.f64 #s(literal -1/6 binary64) y)
accuracy	27.63050290274355	#s(approx (+ (* -1/6 (* y z)) (* 1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) y) z))
accuracy	31.169687243714247	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* 1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) y) z)) y z) (neg.f64 y) x))
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	5.132536820376268	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) x)
accuracy	28.37111906160066	#s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) x))
accuracy	31.169687243714247	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) x)))
accuracy	0	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) x (neg.f64 (sin.f64 y))) z))
accuracy	0.14453125	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) x (neg.f64 (sin.f64 y)))
accuracy	0.20703125	(*.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y))
accuracy	6.731491744851747	(.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) x (neg.f64 (sin.f64 y))) z)

Samples

139.0ms

256×

valid

Compiler

Compiled 272 to 46 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-mult: 71.0ms (59.9% of total)

ival-cos: 17.0ms (14.3% of total)

ival-div: 8.0ms (6.7% of total)

ival-add: 7.0ms (5.9% of total)

ival-sin: 7.0ms (5.9% of total)

const: 4.0ms (3.4% of total)

ival-neg: 3.0ms (2.5% of total)

ival-sub: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series73.0ms (0.8%)

Memory

2.1MiB live, 39.6MiB allocated

Counts

23 → 696

Calls

Call 1

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

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

Calls

174 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(+ (* (/ z (* x x)) y) (/ 1 x))
1.0ms	x	@	0	(* (+ (* (* -1/2 y) y) 1) x)
1.0ms	z	@	0	(+ (* (/ z (* x x)) y) (/ 1 x))
0.0ms	z	@	0	(/ z (* x x))
0.0ms	z	@	inf	(/ z (* x x))

simplify255.0ms (2.6%)

Memory

16.6MiB live, 133.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 088×	`lower-fma.f64`
4 088×	`lower-fma.f32`
3 323×	`lower-*.f64`
3 323×	`lower-*.f32`
904×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	461	7767
1	1520	7524
2	5183	7451
0	8095	7137

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 684

Calls

Call 1

Inputs
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) 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 (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))))
(/ (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)
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (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)
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(/ (* x (cos y)) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) z)
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ x z)
(+ (* -1 y) (/ x z))
(+ (* y (- (* -1/2 (/ (* x y) z)) 1)) (/ x z))
(+ (* y (- (* y (+ (* -1/2 (/ x z)) (* 1/6 y))) 1)) (/ x z))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(* -1 (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(- (/ (* x (cos y)) z) (sin y))
(/ (* x (cos y)) z)
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(* x (+ (* -1 (/ (sin y) x)) (/ (cos y) z)))
(/ (* x (cos y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* x (+ (* -1 (/ (cos y) z)) (/ (sin y) x))))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
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)))))))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z)))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z))))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3))))))
(* 1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (+ (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) (* -1/2 (* x (pow y 2)))))
(+ x (+ (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) (* -1/2 (* x (pow y 2)))))
(+ x (+ (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) (* -1/2 (* x (pow y 2)))))
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* z (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))
(* -1 (* y (+ z (* -1/6 (* (pow y 2) z)))))
(+ (* -1 (* y (+ z (* -1/6 (* (pow y 2) z))))) (* x (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1 (* y (+ z (* -1/6 (* (pow y 2) z))))) (* x (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1 (* y (+ z (* -1/6 (* (pow y 2) z))))) (* x (+ 1 (* -1/2 (pow y 2)))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* -1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* -1/2 (pow y 2)))))
(* x (+ 1 (+ (* -1 (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) (* -1/2 (pow y 2)))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) 1)))
(* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) 1)))
(* -1 (* x (- (+ (* 1/2 (pow y 2)) (/ (* y (+ z (* -1/6 (* (pow y 2) z)))) x)) 1)))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* -1/2 (* x (pow y 2))))
(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2))))
(* -1/2 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/2 x) (/ x (pow y 2))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (* -1/2 (pow y 2))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* -1/2 (pow y 2)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z)))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z))))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3))))))
(* 1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (+ (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) (* -1/2 (* x (pow y 2)))))
(+ x (+ (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) (* -1/2 (* x (pow y 2)))))
(+ x (+ (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2)))))) (* -1/2 (* x (pow y 2)))))
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* z (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (+ (* -1 (* y (+ 1 (* -1/6 (pow y 2))))) (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)))))
(* -1 (* y (+ z (* -1/6 (* (pow y 2) z)))))
(+ (* -1 (* y (+ z (* -1/6 (* (pow y 2) z))))) (* x (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1 (* y (+ z (* -1/6 (* (pow y 2) z))))) (* x (+ 1 (* -1/2 (pow y 2)))))
(+ (* -1 (* y (+ z (* -1/6 (* (pow y 2) z))))) (* x (+ 1 (* -1/2 (pow y 2)))))
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(* -1/6 (* y z))
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(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))
(* -1/6 (* y z))

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

rewrite487.0ms (5%)

Memory

0.2MiB live, 275.6MiB allocated

Rules

3 309×	`lower-fma.f32`
3 304×	`lower-fma.f64`
2 488×	`lower-*.f32`
2 480×	`lower-*.f64`
1 986×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	352
0	87	338
1	319	328
2	2212	328
0	9114	320

Stop Event

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

Counts

23 → 489

Calls

Call 1

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

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

eval344.0ms (3.6%)

Memory: 14.9MiB live, 288.8MiB allocated
Compiler: Compiled 24 445 to 1 869 computations (92.4% saved)

prune488.0ms (5.1%)

Memory

-20.4MiB live, 417.6MiB allocated

Pruning

59 alts after pruning (51 fresh and 8 done)

	Pruned	Kept	Total
New	1 152	21	1 173
Fresh	6	30	36
Picked	3	2	5
Done	1	6	7
Total	1 162	59	1 221

Accuracy

100.0%

Counts

1 221 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.2%	(fma.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64)))) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	61.3%	(fma.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (neg.f64 (sin.f64 y))) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
✓	99.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
✓	78.0%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	63.9%	(fma.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
	30.7%	(pow.f64 (pow.f64 #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	43.5%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
	51.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) y (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (* (cos y) x)) #s(approx (* (cos y) x) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/24 binary64) x) y) y (.f64 #s(literal -1/2 binary64) x)) y) y x)))))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg z) (sin y)) (* (cos y) x)) #s(approx (* (cos y) x) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 y x) x)))))
	33.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) z)) y (/.f64 #s(literal 1 binary64) x))))
	35.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 x z)) (/.f64 #s(literal 1 binary64) x))))
	19.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 (/.f64 (-.f64 (.f64 (.f64 y z) (.f64 (/.f64 y (.f64 x x)) z)) #s(literal 1 binary64)) (.f64 x x)) (/.f64 (-.f64 (.f64 (/.f64 z x) y) #s(literal 1 binary64)) x))))
✓	36.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 #s(literal 1 binary64) x)))
	27.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) #s(approx (+ (* (/ z (* x x)) y) (/ 1 x)) (fma.f64 (/.f64 y (.f64 x x)) z (/.f64 z (.f64 z x))))))
	35.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) #s(approx (+ (* (/ z (* x x)) y) (/ 1 x)) (/.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x))))
	20.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) #s(approx (+ (* (/ z (* x x)) y) (/ 1 x)) (/.f64 (fma.f64 z y x) (*.f64 x x)))))
	3.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x))) #s(approx (+ (* (/ z (* x x)) y) (/ 1 x)) (.f64 (/.f64 y (.f64 x x)) z))))
	51.2%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) x (neg.f64 z)) y x))
	89.2%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))))
	88.3%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) x) z (cos.f64 y)) x))
✓	89.3%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) x (neg.f64 (sin.f64 y))) z))
	57.0%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (*.f64 (cos.f64 y) x))
	43.2%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (fma.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z) #s(literal -1 binary64)) y (/.f64 x z))) z))
	28.5%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (/.f64 x z)) z))
	46.6%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 #s(approx (+ ( (/ (cos y) z) x) (neg (sin y))) (*.f64 (/.f64 x z) (cos.f64 y))) z))
	46.5%	#s(approx (/ 1 (/ 1 (+ (* (neg z) (sin y)) (* (cos y) x)))) (.f64 #s(approx (+ ( (* (/ 1 z) (cos y)) x) (neg (sin y))) (*.f64 (/.f64 (cos.f64 y) z) x)) z))
✓	51.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* 1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) y) z)) y z) (neg.f64 y) x))
	36.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(approx (+ ( -1/6 (* y z)) (* 1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) z) y)) y z) (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* 1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) z) y)) y (neg.f64 z))) (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* 1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) z) y)) y (neg.f64 z))) (neg.f64 y) x))
	36.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* 1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) z) y)) y z) (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* 1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) z) y)) y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* -1/6 (* y z)) (* 1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) z) y)) y (neg.f64 z)))) (neg.f64 y) x))
	16.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) y) (/.f64 (neg.f64 y) (.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) z x))
	14.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (.f64 (.f64 (.f64 y y) (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y y) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) z x))
	12.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (.f64 (.f64 (.f64 y y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 (.f64 (.f64 y y) y) y)) (/.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal 1 binary64) (.f64 y y)))))) z x))
	27.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (.f64 (.f64 (.f64 y y) (neg.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))) z x))
✓	52.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 y) z x))
	41.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (.f64 (fma.f64 (.f64 y (/.f64 (*.f64 z y) x)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/2 binary64) y (/.f64 z x))) x)) (neg.f64 y) x))
	34.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (.f64 (.f64 (*.f64 #s(literal -1/6 binary64) z) y) y)) (neg.f64 y) x))
	21.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (.f64 y y))) (+.f64 x (*.f64 z y))))
	51.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 #s(approx (+ ( -1/6 (* y z)) (* 1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) z) y)) y z) y)))
	12.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 (*.f64 z z) (neg.f64 z)))) (sin.f64 y)))
	12.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (.f64 (.f64 z z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (sin.f64 y)))
✓	44.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	19.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (fma.f64 (.f64 (.f64 y y) y) (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y))))
	19.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) (*.f64 y y) y))))
	19.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))))
	19.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) y) z)))
	2.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 (.f64 (.f64 (.f64 y y) z) y) #s(literal 1/6 binary64))))
	2.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) y) y) y) z)))
	2.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 #s(approx (+ ( (* -1/2 y) y) 1) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x)))
	36.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 #s(approx (+ ( (* -1/2 y) y) 1) #s(literal 1 binary64)) x)))
	2.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) #s(approx (* (+ (* (* -1/2 y) y) 1) x) (.f64 (.f64 #s(literal -1/2 binary64) y) (*.f64 y x)))))
	42.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (* (* (* y y) (neg y)) (/ 1 (+ (* y y) 0))) z) x) (*.f64 (fma.f64 (/.f64 z x) (neg.f64 y) #s(literal 1 binary64)) x)))
	42.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (* (* (* y y) (neg y)) (/ 1 (+ (* y y) 0))) z) x) (*.f64 (-.f64 (/.f64 x y) z) y)))
	8.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (.f64 (*.f64 (neg.f64 y) y) y) z))))
	11.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (.f64 (.f64 (/.f64 y (.f64 y y)) (/.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64))) z)))
	8.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (.f64 (.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z)))
	10.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (.f64 (.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) z))))
✓	19.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (*.f64 (neg.f64 y) z)))
	19.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 (.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))

Compiler

Compiled 2 547 to 956 computations (62.5% saved)

regimes118.0ms (1.2%)

Memory

1.3MiB live, 164.1MiB allocated

Counts

89 → 1

Calls

Call 1

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

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

Calls

4 calls:

33.0ms	x
30.0ms	z
27.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
24.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes93.0ms (1%)

Memory

3.7MiB live, 161.7MiB allocated

Counts

72 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes91.0ms (0.9%)

Memory

-1.1MiB live, 240.8MiB allocated

Counts

71 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
87.2%	3	`x`
81.2%	2	`y`
89.5%	3	`z`
78.0%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes80.0ms (0.8%)

Memory

20.0MiB live, 224.4MiB allocated

Counts

64 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
60.7%	3	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
80.0%	4	`y`
80.4%	3	`x`
80.0%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes60.0ms (0.6%)

Memory

-23.3MiB live, 134.8MiB allocated

Counts

63 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

19.0ms	z
18.0ms	x
18.0ms	y

Results

Accuracy	Segments	Branch
74.0%	3	`y`
68.8%	3	`z`
68.0%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes75.0ms (0.8%)

Memory

20.9MiB live, 137.8MiB allocated

Counts

61 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
18.0ms	z
18.0ms	y
16.0ms	x

Results

Accuracy	Segments	Branch
52.1%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
52.1%	1	`x`
52.1%	1	`z`
52.1%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory

-21.8MiB live, 16.3MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

Calls

4 calls:

4.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	x
2.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
36.3%	1	`y`
36.3%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
46.4%	3	`x`
44.5%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
36.3%	1	`z`
36.3%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch35.0ms (0.4%)

Memory

13.8MiB live, 51.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.625324165106781e-132	2.307709935392172e-128
14.0ms	-1.393132352045896e-59	-1.1230341722841149e-61

Samples

24.0ms

240×

valid

Compiler

Compiled 345 to 239 computations (30.7% saved)

Precisions

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

ival-cos: 8.0ms (44.8% of total)

ival-sin: 5.0ms (28% of total)

ival-mult: 3.0ms (16.8% of total)

ival-sub: 1.0ms (5.6% of total)

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

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

bsearch50.0ms (0.5%)

Memory

-12.6MiB live, 66.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	8.67345572379239e-38	3.5696708665752e-25
23.0ms	-6.082509249288628e-117	-1.0121444183776058e-131

Samples

31.0ms

320×

valid

Compiler

Compiled 395 to 274 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-cos: 7.0ms (34.9% of total)

ival-sin: 7.0ms (34.9% of total)

ival-mult: 4.0ms (19.9% of total)

ival-sub: 1.0ms (5% of total)

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

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

bsearch42.0ms (0.4%)

Memory

22.0MiB live, 59.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1059.684452924174	3462911133283.988
14.0ms	-76.48996641071872	-0.0001098116838800515

Samples

25.0ms

288×

valid

Compiler

Compiled 537 to 338 computations (37.1% saved)

Precisions

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

ival-cos: 7.0ms (39.5% of total)

ival-sin: 6.0ms (33.8% of total)

ival-mult: 4.0ms (22.6% of total)

ival-sub: 1.0ms (5.6% of total)

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

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

bsearch49.0ms (0.5%)

Memory

-22.1MiB live, 52.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.581567922609756e-141	1.2765144442282465e-136
23.0ms	-2.8987431161660545e-213	-5.019661239590497e-229

Samples

30.0ms

304×

valid

Compiler

Compiled 395 to 242 computations (38.7% saved)

Precisions

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

ival-cos: 7.0ms (36.2% of total)

ival-sin: 6.0ms (31% of total)

ival-mult: 4.0ms (20.7% of total)

ival-sub: 1.0ms (5.2% of total)

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

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

simplify10.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	333
1	103	333
2	121	333
3	131	333
4	135	333
5	136	333

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -6332379880165729/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 5853278531842485/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 x #s(literal -3572557697657767/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 3601140034383345/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -5404319552844595/72057594037927936 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1100 binary64)) (fma.f64 #s(approx (sin y) (fma.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 y y) y)) (neg.f64 z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 y) z x))
(if (<=.f64 x #s(literal -6016007607665247/194064761537588616893622436057812819407110752139587076392381504753256369085797110791359801103580809743810966337141384150771447505514351798930535909380147642400556872002606238193783160703949805603157874899214558593861605856727007232 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 #s(approx (+ ( (* -1/2 y) y) 1) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5237424972633827/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (.f64 (neg.f64 y) z))) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 #s(approx (+ ( (* -1/2 y) y) 1) #s(literal 1 binary64)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 #s(approx (+ ( (* -1/2 y) y) 1) #s(literal 1 binary64)) x)))

Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
(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 -6332379880165729/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 5853278531842485/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -6332379880165729/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 5853278531842485/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y)))))
(if (<=.f64 x #s(literal -3572557697657767/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 3601140034383345/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 x #s(literal -3572557697657767/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 3601140034383345/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -5404319552844595/72057594037927936 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1100 binary64)) (fma.f64 #s(approx (sin y) (fma.f64 (.f64 y #s(literal -1/6 binary64)) (.f64 y y) y)) (neg.f64 z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -5404319552844595/72057594037927936 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1100 binary64)) (fma.f64 #s(approx (sin y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) (.f64 y y) y)) (neg.f64 z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 y) z x))
(if (<=.f64 x #s(literal -6016007607665247/194064761537588616893622436057812819407110752139587076392381504753256369085797110791359801103580809743810966337141384150771447505514351798930535909380147642400556872002606238193783160703949805603157874899214558593861605856727007232 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 #s(approx (+ ( (* -1/2 y) y) 1) #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 5237424972633827/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg y) z) x) (.f64 (neg.f64 y) z))) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 #s(approx (+ ( (* -1/2 y) y) 1) #s(literal 1 binary64)) x)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y z)) (* 1/2 x)) y) z) (neg y)) x) (.f64 #s(approx (+ ( (* -1/2 y) y) 1) #s(literal 1 binary64)) x)))

soundness1.3s (13.2%)

Memory

-6.1MiB live, 784.8MiB allocated

Rules

6 022×	`lower-fma.f64`
6 022×	`lower-fma.f32`
5 493×	`lower-fma.f64`
5 493×	`lower-fma.f32`
4 799×	`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	461	7767
1	1520	7524
2	5183	7451
0	8095	7137
0	456	5006
1	1533	4829
2	5307	4793
0	8084	4605
0	342	4393
1	1101	4255
2	3654	4205
0	8781	4128
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
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 324 to 153 computations (52.8% saved)

preprocess70.0ms (0.7%)

Memory: 28.7MiB live, 146.2MiB allocated
Compiler: Compiled 320 to 108 computations (66.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (13.5%)

explain322.0ms (3.3%)

preprocess80.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.1%)

localize137.0ms (1.4%)

series12.0ms (0.1%)

simplify195.0ms (2%)

rewrite366.0ms (3.8%)

eval82.0ms (0.8%)

prune67.0ms (0.7%)

simplify283.0ms (2.9%)

localize195.0ms (2%)

series40.0ms (0.4%)

simplify266.0ms (2.8%)

rewrite271.0ms (2.8%)

eval188.0ms (2%)

prune290.0ms (3%)

simplify118.0ms (1.2%)

localize184.0ms (1.9%)

series35.0ms (0.4%)

simplify202.0ms (2.1%)

rewrite275.0ms (2.8%)

eval203.0ms (2.1%)

prune409.0ms (4.2%)

simplify181.0ms (1.9%)

localize227.0ms (2.4%)

series73.0ms (0.8%)

simplify255.0ms (2.6%)

rewrite487.0ms (5%)

eval344.0ms (3.6%)

prune488.0ms (5.1%)

regimes118.0ms (1.2%)

regimes93.0ms (1%)

regimes91.0ms (0.9%)

regimes80.0ms (0.8%)

regimes60.0ms (0.6%)

regimes75.0ms (0.8%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

bsearch35.0ms (0.4%)

bsearch50.0ms (0.5%)

bsearch42.0ms (0.4%)

bsearch49.0ms (0.5%)

simplify10.0ms (0.1%)

soundness1.3s (13.2%)

preprocess70.0ms (0.7%)

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