Metrics for Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample1.1s (12.7%)

Memory

27.9MiB live, 1 491.5MiB allocated

Samples

858.0ms	8 255×	0	valid
2.0ms	1×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 660.0ms

ival-cos: 254.0ms (38.5% of total)

ival-sin: 200.0ms (30.3% of total)

ival-mult: 116.0ms (17.6% of total)

ival-add: 48.0ms (7.3% of total)

ival-sub: 33.0ms (5% of total)

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

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

adjust: 0.0ms (0% of total)

Bogosity

explain155.0ms (1.8%)

Memory

-3.2MiB live, 186.4MiB allocated

FPErrors

Click to see full error table

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

82.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-sin: 42.0ms (66.2% of total)

ival-cos: 10.0ms (15.8% of total)

ival-add: 5.0ms (7.9% of total)

ival-mult: 4.0ms (6.3% of total)

ival-sub: 2.0ms (3.2% of total)

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

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

preprocess75.0ms (0.8%)

Memory

-4.7MiB live, 76.7MiB allocated

Algorithm

1×	egg-herbie

Rules

400×	`lower-fma.f64`
400×	`lower-fma.f32`
358×	`sub-neg`
352×	`cancel-sign-sub-inv`
302×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	101	84
2	248	83
3	583	83
4	1151	83
5	1530	83
6	1814	83
7	2069	83
8	2092	83
0	8	9
0	13	9
1	22	9
2	42	9
3	66	9
4	97	9
5	151	9
6	264	9
7	398	9
8	480	9
9	528	9
10	558	9
0	558	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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify22.0ms (0.2%)

Memory

-10.4MiB live, 25.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

400×	`lower-fma.f64`
400×	`lower-fma.f32`
160×	`lower-*.f32`
158×	`lower-*.f64`
120×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	22	24
2	42	24
3	66	24
4	97	24
5	151	24
6	264	24
7	398	24
8	480	24
9	528	24
10	558	24
0	558	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)

localize28.0ms (0.3%)

Memory

34.5MiB live, 34.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy	0.00390625	(+.f64 x (cos.f64 y))
accuracy	0.12890625	(*.f64 z (sin.f64 y))

Samples

23.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 6.0ms (41.1% of total)

ival-sin: 5.0ms (34.2% of total)

ival-mult: 2.0ms (13.7% of total)

ival-sub: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

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

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

series37.0ms (0.4%)

Memory

-22.4MiB live, 16.7MiB 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 (+ x (cos y)) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 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 (* -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 z) (/ (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 z) (/ (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 z) (/ (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 (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 (* -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 (* 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 (+ 1 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 (+ 1 (+ 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 (+ 1 (+ x (* y (- (* -1/2 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 (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) 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 (+ 1 x) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) (taylor 0 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 (* 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 (- (+ 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 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 (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 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 (- (+ 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 -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 (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 -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 (- (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)) (* 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 (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 (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 (- (+ 1 (/ (cos y) x)) (/ (* 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 (- (+ 1 (/ (cos y) x)) (/ (* 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 (- (+ 1 (/ (cos y) x)) (/ (* 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 inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt 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)) 1))) (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)) 1))) (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)) 1))) (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 -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	z	@	inf	((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)))
1.0ms	z	@	0	((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)))
1.0ms	z	@	-inf	((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)))
1.0ms	x	@	0	((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)))
1.0ms	y	@	0	((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)))

simplify151.0ms (1.7%)

Memory

-9.8MiB live, 178.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 746×	`lower-fma.f64`
10 746×	`lower-fma.f32`
3 588×	`lower-*.f64`
3 588×	`lower-*.f32`
2 024×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	612
1	287	607
2	770	605
3	2083	601
4	4366	601
5	6335	601
0	8451	579

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 92

Calls

Call 1

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

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

rewrite215.0ms (2.4%)

Memory

-13.2MiB live, 264.1MiB allocated

Rules

4 620×	`lower-*.f32`
4 618×	`lower-*.f64`
4 548×	`lower-fma.f64`
4 548×	`lower-fma.f32`
2 418×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	47	19
2	388	19
3	5630	19
0	8225	19

Stop Event

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

Counts

4 → 187

Calls

Call 1

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

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

eval69.0ms (0.8%)

Memory: -7.9MiB live, 68.2MiB allocated
Compiler: Compiled 7 373 to 615 computations (91.7% saved)

prune43.0ms (0.5%)

Memory

27.4MiB live, 73.4MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	268	11	279
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	269	11	280

Accuracy

100.0%

Counts

280 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.5%	(fma.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (cos.f64 y))) x)
	53.6%	(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (.f64 x x)))
	78.5%	(-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y)))
▶	86.9%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
▶	59.1%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
	53.5%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
▶	54.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
	60.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
▶	70.9%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
▶	58.4%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
	30.5%	#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))

Compiler

Compiled 370 to 210 computations (43.2% saved)

simplify103.0ms (1.2%)

Memory

-20.8MiB live, 57.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2 216×	`lower-fma.f32`
2 214×	`lower-fma.f64`
616×	`lower-*.f32`
612×	`lower-*.f64`
560×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	146
0	39	146
1	64	146
2	107	146
3	197	146
4	311	146
5	499	146
6	865	146
7	1403	146
8	1965	146
9	2188	146
10	2244	146
11	2244	146
0	2244	144

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize84.0ms (1%)

Memory

-1.5MiB live, 85.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy	0.12890625	(*.f64 z (sin.f64 y))
accuracy	31.21807111902282	#s(approx (+ x (cos y)) (cos.f64 y))
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(+.f64 (cos.f64 y) x)
accuracy	18.608635570600562	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.00390625	(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))
accuracy	29.25200404589667	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	26.60409044625134	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
accuracy	0.00390625	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
accuracy	0.00390625	(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy	0.12890625	(*.f64 z (sin.f64 y))
accuracy	30.412209783285657	#s(approx (cos y) #s(literal 1 binary64))

Samples

40.0ms

256×

valid

Compiler

Compiled 117 to 18 computations (84.6% saved)

Precisions

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

ival-cos: 6.0ms (26.9% of total)

ival-mult: 5.0ms (22.4% of total)

ival-sin: 5.0ms (22.4% of total)

ival-add: 4.0ms (18% of total)

ival-sub: 2.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.4%)

Memory

-10.8MiB live, 28.1MiB allocated

Counts

15 → 384

Calls

Call 1

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

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

Calls

9 calls:

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

simplify216.0ms (2.5%)

Memory

11.0MiB live, 165.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 646×	`lower-fma.f64`
14 646×	`lower-fma.f32`
4 590×	`lower-*.f64`
4 590×	`lower-*.f32`
2 554×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	2810
1	476	2745
2	1322	2733
3	3928	2657
0	8426	2539

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 364

Calls

Call 1

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

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

rewrite223.0ms (2.5%)

Memory

7.2MiB live, 200.3MiB allocated

Rules

4 886×	`lower-fma.f32`
4 884×	`lower-fma.f64`
4 488×	`lower-/.f64`
4 488×	`lower-/.f32`
4 090×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	118
0	39	118
1	161	118
2	1432	118
0	8258	118

Stop Event

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

Counts

15 → 367

Calls

Call 1

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

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

eval168.0ms (1.9%)

Memory: 5.7MiB live, 163.3MiB allocated
Compiler: Compiled 16 958 to 1 164 computations (93.1% saved)

prune202.0ms (2.3%)

Memory

0.7MiB live, 240.1MiB allocated

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	797	14	811
Fresh	2	4	6
Picked	1	4	5
Done	0	0	0
Total	800	22	822

Accuracy

100.0%

Counts

822 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.7%	(fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) x)
	40.7%	(/.f64 (fma.f64 (.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (pow.f64 (.f64 (neg.f64 z) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
▶	78.5%	(-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y)))
✓	86.9%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
	51.6%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
	51.2%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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)))
	54.3%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))
✓	59.1%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
	53.5%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
▶	24.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
	42.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x)))
▶	31.9%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
	60.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
✓	70.9%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
✓	58.4%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
	30.5%	#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	2.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (.f64 y y) #s(literal -1/2 binary64))))
	10.7%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
▶	43.7%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
	44.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
	30.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
▶	18.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

Compiler

Compiled 758 to 417 computations (45% saved)

simplify162.0ms (1.8%)

Memory

12.4MiB live, 173.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z)))
cost-diff	0	(fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
cost-diff	320	(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) y z)))))
cost-diff	0	(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) x)
cost-diff	0	(+.f64 (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) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
cost-diff	0	(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ 1 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))
cost-diff	0	(-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y)))
cost-diff	128	(/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))

Rules

11 442×	`lower-fma.f32`
11 424×	`lower-fma.f64`
3 392×	`lower-*.f32`
3 374×	`lower-*.f64`
1 930×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	446
0	94	446
1	175	420
2	335	420
3	769	420
4	2011	420
5	3777	420
6	5811	420
7	7885	420
0	8071	418

Stop Event

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

Calls

Call 1

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

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

localize227.0ms (2.6%)

Memory

-4.6MiB live, 266.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.0039062500000002	(fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z)))
accuracy	2.6953001149812352	(fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z)))
accuracy	29.25200404589667	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
accuracy	38.32733955690708	(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) y z)))))
accuracy	0.05859375	(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))
accuracy	0.3097134694374767	(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
accuracy	18.608635570600562	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
accuracy	30.78641792231695	#s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.00390625	(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))
accuracy	29.25200404589667	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
accuracy	31.145571372990457	#s(approx (+ 1 x) #s(literal 1 binary64))
accuracy	26.60409044625134	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
accuracy	31.145571372990457	#s(approx (+ 1 x) #s(literal 1 binary64))
accuracy	0.01171875	(-.f64 (cos.f64 y) x)
accuracy	0.12890625	(*.f64 z (sin.f64 y))
accuracy	0.38464173098184123	(fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	13.68907671966541	(/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (cos.f64 y) x))

Samples

100.0ms

256×

valid

Compiler

Compiled 375 to 54 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 26.0ms (34.3% of total)

ival-add: 14.0ms (18.5% of total)

ival-cos: 11.0ms (14.5% of total)

ival-sub: 6.0ms (7.9% of total)

const: 6.0ms (7.9% of total)

ival-sin: 5.0ms (6.6% of total)

ival-div: 4.0ms (5.3% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series122.0ms (1.4%)

Memory

-8.9MiB live, 118.1MiB allocated

Counts

23 → 576

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (patch (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y))) (patch (-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (patch (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 x) #s(literal 1 binary64)) (patch #s(approx (+ 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) ( z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) (patch (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/2 binary64) y) (patch (.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) ( z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))) (patch #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (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) x) #s(literal 1 binary64)) (patch (+.f64 (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) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (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) x) (patch (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) x) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) (patch (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) ( z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (patch (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) #<representation binary64>) () ())
#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())
#s(alt (-.f64 (cos.f64 y) x) (patch (-.f64 (cos.f64 y) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))) (patch (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))) #<representation binary64>) () ())

Outputs
#s(alt (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) (taylor 0 z) (#s(alt (-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y))) (patch (-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x))) (taylor 0 z) (#s(alt (-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y))) (patch (-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x))) (taylor 0 z) (#s(alt (-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y))) (patch (-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x))) (taylor 0 z) (#s(alt (-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y))) (patch (-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) ( z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) ( z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) ( z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) ( z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) (patch (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) (patch (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) (patch (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) (patch (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 y) (taylor 0 z) (#s(alt (-.f64 (.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1/2 y)) (taylor 0 z) (#s(alt (-.f64 (.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) ( z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) ( z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (cos.f64 y) x) (patch (-.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (cos y) x))))) (taylor -inf x) (#s(alt (-.f64 (cos.f64 y) x) (patch (-.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (cos y) x))))) (taylor -inf x) (#s(alt (-.f64 (cos.f64 y) x) (patch (-.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (cos y) x))))) (taylor -inf x) (#s(alt (-.f64 (cos.f64 y) x) (patch (-.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
45.0ms	y	@	inf	((/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (- (/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (+ (* (cos (+ y y)) 1/2) 1/2) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) (- (+ x (cos y)) (* z (sin y))) (+ (* (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) y) (+ 1 x)) (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (* z (sin y)) (- (cos y) x) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))
14.0ms	x	@	0	((/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (- (/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (+ (* (cos (+ y y)) 1/2) 1/2) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) (- (+ x (cos y)) (* z (sin y))) (+ (* (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) y) (+ 1 x)) (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (* z (sin y)) (- (cos y) x) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))
6.0ms	y	@	0	((/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (- (/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (+ (* (cos (+ y y)) 1/2) 1/2) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) (- (+ x (cos y)) (* z (sin y))) (+ (* (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) y) (+ 1 x)) (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (* z (sin y)) (- (cos y) x) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))
6.0ms	y	@	-inf	((/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (- (/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (+ (* (cos (+ y y)) 1/2) 1/2) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) (- (+ x (cos y)) (* z (sin y))) (+ (* (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) y) (+ 1 x)) (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (* z (sin y)) (- (cos y) x) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))
5.0ms	z	@	0	((/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (- (/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (+ (* (cos (+ y y)) 1/2) 1/2) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) (- (+ x (cos y)) (* z (sin y))) (+ (* (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) y) (+ 1 x)) (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (* z (sin y)) (- (cos y) x) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))

simplify202.0ms (2.3%)

Memory

25.9MiB live, 183.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 470×	`lower-fma.f64`
8 470×	`lower-fma.f32`
4 810×	`lower-*.f64`
4 810×	`lower-*.f32`
4 614×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	771	7598
1	2431	7279
2	7950	7235
0	8121	6862

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 551

Calls

Call 1

Inputs
(- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x)))
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))
(- (+ (* -1 (* z (sin y))) (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x))))) (/ (pow x 2) (- (cos y) x)))
(+ 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))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(* -1/2 y)
(+ (* -1 z) (* -1/2 y))
(+ (* -1 z) (* -1/2 y))
(+ (* -1 z) (* -1/2 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)))))
(* -1/2 y)
(+ (* -1 z) (* -1/2 y))
(+ (* -1 z) (* -1/2 y))
(+ (* -1 z) (* -1/2 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)))))
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(* -1/8 (pow y 3))
(+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))
(+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))
(+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* 1/4 (pow y 2))
(+ (* -1/2 (* y z)) (* 1/4 (pow y 2)))
(+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y))))
(+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y))))
(* -1 (* z (sin y)))
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))
(* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (- (cos y) x)))) (/ 1/2 (* z (- (cos y) x)))) (+ (sin y) (/ (pow x 2) (* z (- (cos y) x))))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* -1 z)
(* z (- (* -1/2 (/ y z)) 1))
(* z (- (* -1/2 (/ y z)) 1))
(* z (- (* -1/2 (/ y z)) 1))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 z)
(* z (- (* -1/2 (/ y z)) 1))
(* z (- (* -1 (/ (+ (* -1/4 (pow y 2)) (* 1/4 (pow y 2))) (pow z 2))) (+ 1 (* 1/2 (/ y z)))))
(* z (- (* -1/2 (/ (* y (+ (* -1/4 (pow y 2)) (* 1/4 (pow y 2)))) (pow z 3))) (+ 1 (+ (* -1/4 (/ (pow y 2) (pow z 2))) (+ (* 1/4 (/ (pow y 2) (pow z 2))) (* 1/2 (/ y z)))))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* y z))
(* z (- (+ (* -1 y) (+ (/ 1 z) (/ x z))) (* 1/2 (/ (pow y 2) z))))
(* z (- (+ (* -1 y) (+ (* -1 (/ (+ (* -1/4 (pow y 3)) (* 1/4 (pow y 3))) (pow z 2))) (+ (/ 1 z) (/ x z)))) (* 1/2 (/ (pow y 2) z))))
(* z (- (+ (* -1 y) (+ (* -1/2 (/ (* y (+ (* -1/4 (pow y 3)) (* 1/4 (pow y 3)))) (pow z 3))) (+ (/ 1 z) (/ x z)))) (+ (* -1/4 (/ (pow y 3) (pow z 2))) (+ (* 1/4 (/ (pow y 3) (pow z 2))) (* 1/2 (/ (pow y 2) z))))))
(* -1 (pow z 3))
(* (pow z 3) (- (* -1/8 (/ (pow y 3) (pow z 3))) 1))
(* (pow z 3) (- (* -1/8 (/ (pow y 3) (pow z 3))) 1))
(* (pow z 3) (- (* -1/8 (/ (pow y 3) (pow z 3))) 1))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(pow z 2)
(* (pow z 2) (+ 1 (* -1/2 (/ y z))))
(* (pow z 2) (+ 1 (+ (* -1/2 (/ y z)) (* 1/4 (/ (pow y 2) (pow z 2))))))
(* (pow z 2) (+ 1 (+ (* -1/2 (/ y z)) (* 1/4 (/ (pow y 2) (pow z 2))))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (- (+ (* 1/2 (/ 1 (- (cos y) x))) (* 1/2 (/ (cos (* 2 y)) (- (cos y) x)))) (/ (pow x 2) (- (cos y) x))) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y z))
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(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ 1 (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y))))))
(+ 1 (+ x (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))))
(+ 1 (+ x (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))))
(+ 1 (+ x (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))))
(cos y)
(+ (cos y) (* -1 x))
(+ (cos y) (* -1 x))
(+ (cos y) (* -1 x))
x
(* x (+ 1 (/ (cos y) x)))
(* x (- (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))
(* x (- (+ 1 (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2))) (/ (* (cos y) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) (pow x 3)))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (/ (cos y) x) (/ (pow (cos y) 2) (pow x 2))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))
(* x (- (+ 1 (+ (* -1/2 (/ (cos y) (pow x 3))) (+ (* -1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (* -1/2 (/ (* (cos y) (cos (* 2 y))) (pow x 3))) (+ (/ (cos y) x) (+ (/ (pow (cos y) 2) (pow x 2)) (/ (pow (cos y) 3) (pow x 3)))))))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x))))
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* x (+ 1 (+ (/ 1 x) (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x))))
x
(* x (+ 1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)))
(* x (+ 1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)))
(* x (+ 1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (* x (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (* x (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (* x (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))))))
(* -1 x)
(* x (- (/ (cos y) x) 1))
(* x (- (/ (cos y) x) 1))
(* x (- (/ (cos y) x) 1))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (+ (* 1/2 (cos (* 2 y))) (/ (* (cos y) (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow (cos y) 2))) x))) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y))))) x))) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/2 (cos y)) (+ (* -1/2 (* (cos y) (cos (* 2 y)))) (pow (cos y) 3))) x)) (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y)))))) x))) (* z (sin y))) x)) 1)))
(* -1 (pow x 2))
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))
(* (pow x 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (* 1/2 (/ 1 (pow x 2)))) 1))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))) x)) 1)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (cos y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (cos y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (cos y) x)))))

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

rewrite436.0ms (4.9%)

Memory

-14.0MiB live, 390.4MiB allocated

Rules

6 360×	`lower-*.f32`
6 342×	`lower-*.f64`
5 732×	`lower-fma.f32`
5 714×	`lower-fma.f64`
3 114×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	357
0	94	325
1	392	257
2	3520	257
0	9488	257

Stop Event

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

Counts

23 → 686

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 y) x) (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (.f64 x x) x))) (fma.f64 x (+.f64 (cos.f64 y) x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (+.f64 (cos.f64 y) x))
(.f64 (-.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x))))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (*.f64 x x))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (cos.f64 y) x))))
(*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (.f64 x x)) (fma.f64 (.f64 x x) x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) x)) (neg.f64 (-.f64 (cos.f64 y) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x))) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x))) (fma.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (cos.f64 y) x))) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (cos.f64 y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) (.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (-.f64 (cos.f64 y) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 x (cos.f64 y))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (cos.f64 y) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (-.f64 (cos.f64 y) x)))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (cos.f64 y) x))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) (.f64 (-.f64 (cos.f64 y) x) (*.f64 x x))) (pow.f64 (-.f64 (cos.f64 y) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (-.f64 (cos.f64 y) x) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 x (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 6 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (.f64 (-.f64 (cos.f64 y) x) (fma.f64 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (.f64 x x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (cos.f64 y) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (cos.f64 y)) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) x) (.f64 x x)) (fma.f64 (.f64 x x) x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (cos.f64 y) x))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (-.f64 (cos.f64 y) x)))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (*.f64 x x))) (neg.f64 (-.f64 (cos.f64 y) x))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (-.f64 #s(literal 1/2 binary64) (.f64 x x)))) (+.f64 (cos.f64 y) x) (neg.f64 (.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (.f64 x x) x))) (fma.f64 x (+.f64 (cos.f64 y) x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 y y))) (/.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))
(fma.f64 #s(literal 1 binary64) x (cos.f64 y))
(fma.f64 x #s(literal 1 binary64) (cos.f64 y))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cos.f64 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 x (cos.f64 y))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))) #s(literal -1 binary64)))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (-.f64 (cos.f64 y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (cos.f64 y) x)))))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))))
(.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (-.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (-.f64 (cos.f64 y) (.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))) (neg.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (-.f64 (+.f64 (cos.f64 y) x) (.f64 (neg.f64 z) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.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)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 (+.f64 (cos.f64 y) x) (.f64 (neg.f64 z) (sin.f64 y))))))
(/.f64 (-.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 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (.f64 #s(literal 1/4 binary64) (.f64 y y))))) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) z) (fma.f64 #s(literal -1/2 binary64) y z)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))))
(fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 z z (.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(fma.f64 (.f64 z y) #s(literal -1/2 binary64) (fma.f64 z z (.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -1/2 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) y) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y z) z (.f64 #s(literal 1/4 binary64) (.f64 y y)))
(fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -1/2 binary64) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) z (fma.f64 z z (.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(fma.f64 #s(literal -1/2 binary64) (.f64 y z) (fma.f64 z z (.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(fma.f64 #s(literal -1/2 binary64) (.f64 y (.f64 #s(literal -1/2 binary64) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) y z) (.f64 #s(literal 1/4 binary64) (.f64 y y)))
(fma.f64 z (.f64 #s(literal -1/2 binary64) y) (fma.f64 z z (.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(fma.f64 y (.f64 #s(literal -1/2 binary64) z) (fma.f64 z z (.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(fma.f64 y (.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(fma.f64 y (.f64 #s(literal 1/4 binary64) y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) z) (fma.f64 #s(literal -1/2 binary64) y z)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) #s(literal -1 binary64))))
(+.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 (.f64 #s(literal -1/2 binary64) y) z)) (.f64 z z))
(+.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 z z)) (.f64 (.f64 #s(literal -1/2 binary64) y) z))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) (fma.f64 z z (.f64 #s(literal 1/4 binary64) (.f64 y y))))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(+.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (.f64 #s(literal 1/4 binary64) (*.f64 y y)))

eval311.0ms (3.5%)

Memory: 18.9MiB live, 400.1MiB allocated
Compiler: Compiled 45 094 to 2 792 computations (93.8% saved)

prune239.0ms (2.7%)

Memory

1.5MiB live, 529.0MiB allocated

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1 234	14	1 248
Fresh	4	9	13
Picked	4	1	5
Done	0	4	4
Total	1 242	28	1 270

Accuracy

100.0%

Counts

1 270 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.7%	(fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) x)
	40.7%	(/.f64 (fma.f64 (.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (pow.f64 (.f64 (neg.f64 z) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
✓	86.9%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
	51.6%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
▶	51.2%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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)))
	54.3%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))
	59.0%	(-.f64 #s(approx (/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))) (.f64 z (sin.f64 y)))
✓	59.1%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
	56.9%	#s(approx (- (/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (.f64 (-.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (.f64 x x)) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 x x)) (/.f64 (cos.f64 y) x)) #s(literal 1 binary64))) (fma.f64 (/.f64 (sin.f64 y) x) z (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x))
	30.5%	#s(approx (- (/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	53.5%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 x #s(literal 1 binary64))))
	17.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
	23.1%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (*.f64 z z)))) y (+.f64 #s(literal 1 binary64) x)))
▶	41.9%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
	17.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
	25.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
	60.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
✓	70.9%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
✓	58.4%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
	2.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (.f64 y y) #s(literal -1/2 binary64))))
▶	10.7%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
	43.0%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/576 binary64)) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
▶	44.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
	43.0%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (fma.f64 (.f64 x (.f64 y y)) (/.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)) x) x)) #s(literal 1 binary64))))
	17.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (.f64 (.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)) y) y)) #s(literal 1 binary64))))
	30.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
	17.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (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)))))
✓	18.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

Compiler

Compiled 1 062 to 575 computations (45.9% saved)

simplify141.0ms (1.6%)

Memory

6.9MiB live, 240.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z))
cost-diff	0	(fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
cost-diff	320	(.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z)))))
cost-diff	0	#s(approx (* z (sin y)) (.f64 (.f64 z (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))
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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)))
cost-diff	0	(fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x)
cost-diff	0	(+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))
cost-diff	0	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
cost-diff	128	(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)))
cost-diff	192	(fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) x)

Rules

11 566×	`lower-fma.f32`
11 550×	`lower-fma.f64`
4 110×	`lower-*.f32`
4 084×	`lower-*.f64`
1 614×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	635
0	116	635
1	231	598
2	454	598
3	1125	595
4	2784	595
5	5607	595
6	7609	595
0	8266	573

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) x)
(-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(*.f64 z z)
z
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64)))
(+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x)
(fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 y y)
y
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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)))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* z (sin y)) (.f64 (.f64 z (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))
(.f64 (.f64 z (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)
(.f64 z (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
z
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))
(.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z)))))
#s(approx (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z))
(.f64 (.f64 (neg.f64 z) z) z)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z)))
#s(literal 1/4 binary64)
(*.f64 y y)
y
(*.f64 z (fma.f64 #s(literal -1/2 binary64) y z))
(fma.f64 #s(literal -1/2 binary64) y z)
#s(literal -1/2 binary64)
(+.f64 #s(literal 1 binary64) x)
x

Outputs
(fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) x)
(+.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 z z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)))) (fma.f64 (sin.f64 y) z #s(approx (cos y) #s(literal 1 binary64)))) x)
(-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)))
(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 z z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(*.f64 z z)
z
(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))
(fma.f64 (sin.f64 y) z #s(approx (cos y) #s(literal 1 binary64)))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64)))
#s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64)))
(+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))
(+.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x)
(fma.f64 (fma.f64 (.f64 y y) #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) x)
(fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 (.f64 y y) #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 y y)
y
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) z) y)))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* z (sin y)) (.f64 (.f64 z (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 (* z (sin y)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) z) y))
(.f64 (.f64 z (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)
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) z) y)
(.f64 z (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z)
z
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 y (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) #s(approx (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) #s(approx (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (+.f64 x #s(literal 1 binary64)))
(.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z)))))
(/.f64 #s(approx (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)))
#s(approx (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z))
(.f64 (.f64 (neg.f64 z) z) z)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z)))
(fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
#s(literal 1/4 binary64)
(*.f64 y y)
y
(*.f64 z (fma.f64 #s(literal -1/2 binary64) y z))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)
(fma.f64 #s(literal -1/2 binary64) y z)
#s(literal -1/2 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x

localize283.0ms (3.2%)

Memory

-9.7MiB live, 632.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.0039062500000002	(fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z)))
accuracy	26.691924581477686	#s(approx (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z))
accuracy	29.25200404589667	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
accuracy	38.32733955690708	(.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z)))))
accuracy	0.2859898031688571	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
accuracy	1.40906506382997	(.f64 z (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy	30.412209783285657	#s(approx (cos y) #s(literal 1 binary64))
accuracy	32.76877957936766	#s(approx (* z (sin y)) (.f64 (.f64 z (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))
accuracy	0.05859375	(fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))
accuracy	18.608635570600562	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
accuracy	30.78641792231695	#s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64)))
accuracy	33.51058506266433	#s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	29.25200404589667	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
accuracy	47.70444705917142	#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))
accuracy	7.746004875803254	(fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) x)
accuracy	8.455816736937072	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))
accuracy	15.828136938086438	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	30.412209783285657	#s(approx (cos y) #s(literal 1 binary64))

Samples

96.0ms	87×	1	valid
93.0ms	137×	0	valid
43.0ms	32×	2	valid

Compiler

Compiled 462 to 68 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-mult: 65.0ms (34.2% of total)

ival-cos: 33.0ms (17.4% of total)

ival-add: 29.0ms (15.3% of total)

adjust: 21.0ms (11% of total)

const: 16.0ms (8.4% of total)

ival-sin: 12.0ms (6.3% of total)

ival-sub: 7.0ms (3.7% of total)

ival-div: 4.0ms (2.1% of total)

ival-neg: 2.0ms (1.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series84.0ms (0.9%)

Memory

-3.2MiB live, 196.4MiB allocated

Counts

26 → 636

Calls

Call 1

Inputs
#s(alt (fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z))) x) (patch (fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z))) x) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (patch (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (patch (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) (patch (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) ( z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (neg.f64 z) y)) (patch #s(approx (+ ( (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))) (patch #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64)) (patch (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) (patch (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* z (sin y)) (.f64 (.f64 z (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)) (patch #s(approx (* z (sin y)) (.f64 (.f64 z (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)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) (patch (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) #<representation binary64>) () ())
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#s(alt (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (patch #s(approx (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (patch #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (patch (fma.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 z (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) (patch (.f64 z (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))) (patch (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))) #<representation binary64>) () ())

Outputs
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z))) x) (patch (fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z))) x) #<representation binary64>) () ())) ())
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#s(alt (+ x (+ (cos y) (* z (- (* z (- (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1 (/ (pow (sin y) 2) (cos y))) (* 1/2 (/ 1 (cos y)))))) (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z))) x) (patch (fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* z (- (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (- (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)) (/ (pow (sin y) 3) (pow (cos y) 2))))) (+ (* -1 (/ (pow (sin y) 2) (cos y))) (* 1/2 (/ 1 (cos y)))))) (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z))) x) (patch (fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z))) x) #<representation binary64>) () ())) ())
#s(alt (pow (cos y) 2) (taylor 0 z) (#s(alt (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (patch (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (cos y) 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (patch (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (cos y) 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (patch (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (cos y) 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (patch (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor 0 z) (#s(alt (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) (patch (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) (patch (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) (patch (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ (cos y) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) (patch (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) ( z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) ( z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) ( z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) ( z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 z) (#s(alt #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (neg.f64 z) y)) (patch #s(approx (+ ( (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (neg.f64 z) y)) (patch #s(approx (+ ( (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (neg.f64 z) y)) (patch #s(approx (+ ( (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (neg.f64 z) y)) (patch #s(approx (+ ( (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) 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 (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) (patch (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) (patch (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	z	@	0	((+ (* (- (* (cos y) (cos y)) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (/ 1 (+ (cos y) (* (sin y) z)))) x) (- (* (cos y) (cos y)) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (- 1/2 (* 1/2 (cos (+ y y)))) (+ (cos y) (* (sin y) z)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg z) y) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) (- (+ x (cos y)) (* z (sin y))) (+ (* (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) y) (+ 1 x)) (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z)) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* z (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1)) (+ (* 1/120 (* y y)) -1/6) (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))
7.0ms	y	@	-inf	((+ (* (- (* (cos y) (cos y)) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (/ 1 (+ (cos y) (* (sin y) z)))) x) (- (* (cos y) (cos y)) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (- 1/2 (* 1/2 (cos (+ y y)))) (+ (cos y) (* (sin y) z)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg z) y) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) (- (+ x (cos y)) (* z (sin y))) (+ (* (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) y) (+ 1 x)) (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z)) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* z (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1)) (+ (* 1/120 (* y y)) -1/6) (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))
6.0ms	y	@	inf	((+ (* (- (* (cos y) (cos y)) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (/ 1 (+ (cos y) (* (sin y) z)))) x) (- (* (cos y) (cos y)) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (- 1/2 (* 1/2 (cos (+ y y)))) (+ (cos y) (* (sin y) z)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg z) y) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) (- (+ x (cos y)) (* z (sin y))) (+ (* (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) y) (+ 1 x)) (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z)) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* z (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1)) (+ (* 1/120 (* y y)) -1/6) (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))
6.0ms	z	@	-inf	((+ (* (- (* (cos y) (cos y)) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (/ 1 (+ (cos y) (* (sin y) z)))) x) (- (* (cos y) (cos y)) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (- 1/2 (* 1/2 (cos (+ y y)))) (+ (cos y) (* (sin y) z)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg z) y) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) (- (+ x (cos y)) (* z (sin y))) (+ (* (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) y) (+ 1 x)) (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z)) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* z (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1)) (+ (* 1/120 (* y y)) -1/6) (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))
6.0ms	z	@	inf	((+ (* (- (* (cos y) (cos y)) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (/ 1 (+ (cos y) (* (sin y) z)))) x) (- (* (cos y) (cos y)) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (- 1/2 (* 1/2 (cos (+ y y)))) (+ (cos y) (* (sin y) z)) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg z) y) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) (- (+ x (cos y)) (* z (sin y))) (+ (* (* (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (/ 1 (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))) y) (+ 1 x)) (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z)) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* z (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1)) (+ (* 1/120 (* y y)) -1/6) (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))))

simplify169.0ms (1.9%)

Memory

-16.6MiB live, 298.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 182×	`lower-fma.f64`
8 182×	`lower-fma.f32`
5 296×	`lower-*.f64`
5 296×	`lower-*.f32`
4 182×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	735	8027
1	2342	7720
2	7999	7686
0	8006	7235

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 612

Calls

Call 1

Inputs
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* z (- (* z (- (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* -1 (/ (pow (sin y) 2) (cos y))) (* 1/2 (/ 1 (cos y)))))) (sin y)))))
(+ x (+ (cos y) (* z (- (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* z (- (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)) (/ (pow (sin y) 3) (pow (cos y) 2))))) (+ (* -1 (/ (pow (sin y) 2) (cos y))) (* 1/2 (/ 1 (cos y)))))) (sin y)))))
(pow (cos y) 2)
(+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (cos y) 2))
(+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (cos y) 2))
(+ (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (pow (cos y) 2))
(cos y)
(+ (cos y) (* z (sin y)))
(+ (cos y) (* z (sin y)))
(+ (cos y) (* 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)))))
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 z)
(* -1 z)
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(* (pow y 2) (- (+ (* -4 (/ (pow z 3) (pow y 3))) (+ (* -2 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ z y)) (+ (* 2 (/ (* z (+ (* -2 (pow z 2)) (* 2 (pow z 2)))) (pow y 3))) (+ (* 2 (/ (pow z 2) (pow y 2))) (+ (* 4 (/ (pow z 3) (pow y 3))) (+ (/ 1 (pow y 2)) (/ x (pow y 2))))))))) 1/2))
(* -1/8 (pow y 3))
(* (pow y 3) (- (* -1 (/ (pow z 3) (pow y 3))) 1/8))
(* (pow y 3) (- (* -1 (/ (pow z 3) (pow y 3))) 1/8))
(* (pow y 3) (- (* -1 (/ (pow z 3) (pow y 3))) 1/8))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/720 (pow y 4))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* 1/120 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* -1/2 (/ z y))))
(* (pow y 2) (+ 1/4 (+ (* -1/2 (/ z y)) (/ (pow z 2) (pow y 2)))))
(* (pow y 2) (+ 1/4 (+ (* -1/2 (/ z y)) (/ (pow z 2) (pow y 2)))))
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (+ (cos y) (* z (sin y)))))
(- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (pow (cos y) 2) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ (cos y) (* z (sin y)))
(+ (cos y) (* z (sin y)))
(+ (cos y) (* z (sin y)))
(+ (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)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (+ (/ 1 (pow y 6)) (/ x (pow y 6)))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ x (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1/2 y)
(* -1 (* y (+ 1/2 (/ z y))))
(* -1 (* y (+ 1/2 (* -1 (/ (- (+ (* -2 (/ (pow z 2) y)) (* 2 (/ (pow z 2) y))) z) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -2 (/ (* z (+ (* -2 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (* -2 (pow z 2)) (* 2 (pow z 2)))) y)) z) 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)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 (+ x (+ (* -2 (pow z 2)) (* 2 (pow z 2))))) y))) y)) 1/2))
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 (+ x (+ (* -2 (pow z 2)) (+ (* 2 (/ (* z (+ (* -2 (pow z 2)) (* 2 (pow z 2)))) y)) (* 2 (pow z 2)))))) y))) y)) 1/2))
(* -1/8 (pow y 3))
(* -1 (* (pow y 3) (+ 1/8 (/ (pow z 3) (pow y 3)))))
(* -1 (* (pow y 3) (+ 1/8 (/ (pow z 3) (pow y 3)))))
(* -1 (* (pow y 3) (+ 1/8 (/ (pow z 3) (pow y 3)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/720 (pow y 4))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* 1/120 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* -1/2 (/ z y))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* 1/2 z)) y))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* 1/2 z)) y))))
(- (/ (pow (cos y) 2) (+ (cos y) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(- (+ x (/ (pow (cos y) 2) (+ (cos y) (* z (sin y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y)))))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ 1 (* y (- (* -1/2 y) z)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ 1 (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y))))))
(+ 1 (+ x (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))))
(+ 1 (+ x (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))))
(+ 1 (+ x (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))))
x
(* x (- (+ 1 (/ (pow (cos y) 2) (* x (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))
(* x (- (+ 1 (/ (pow (cos y) 2) (* x (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))
(* x (- (+ 1 (/ (pow (cos y) 2) (* x (+ (cos y) (* z (sin y)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (+ (cos y) (* z (sin y)))))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* x (+ 1 (+ (/ 1 x) (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x))))
x
(* x (+ 1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)))
(* x (+ 1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)))
(* x (+ 1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (* x (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (* x (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (* x (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))))))
x
(* -1 (* x (- (* -1 (/ (- (/ (pow (cos y) 2) (+ (cos y) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (pow (cos y) 2) (+ (cos y) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (pow (cos y) 2) (+ (cos y) (* z (sin y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (cos y) (* z (sin y))))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 3)) (* -1/8 (pow y 3)))) (+ (* 1/4 (pow y 2)) (* z (+ z (* -1/2 y)))))) x)) 1)))

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

rewrite264.0ms (3%)

Memory

17.5MiB live, 424.3MiB allocated

Rules

7 250×	`lower-*.f32`
7 224×	`lower-*.f64`
6 694×	`lower-fma.f32`
6 678×	`lower-fma.f64`
3 526×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	492
0	116	471
1	502	415
2	4140	415
0	10873	406

Stop Event

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

Counts

26 → 500

Calls

Call 1

Inputs
(fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) x)
(-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64)))
(+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x)
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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)))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (* z (sin y)) (.f64 (.f64 z (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))
(.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (* -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z))
#s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64))
(fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))
(.f64 z (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z)))

Outputs
(.f64 (-.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) x)))
(.f64 (fma.f64 (.f64 x x) x (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z))) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) x) (-.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z))) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (fma.f64 (.f64 x x) x (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z))) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) x))
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(/.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (*.f64 #s(literal -1/720 binary64) y) y))))
(/.f64 (fma.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/720 binary64) y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/720 binary64) y) y))) (fma.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) #s(literal -1/216 binary64))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) #s(literal -1/6 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 y y)))
(.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))))
(.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) z) (fma.f64 #s(literal -1/2 binary64) y z)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (.f64 #s(literal 1/4 binary64) (*.f64 y y)))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (.f64 #s(literal 1/4 binary64) (.f64 y y))))) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) z) (fma.f64 #s(literal -1/2 binary64) y z)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) z) (fma.f64 #s(literal -1/2 binary64) y z)) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y)))) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (.f64 #s(literal 1/4 binary64) (.f64 y y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)))) (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) z) (fma.f64 #s(literal -1/2 binary64) y z)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (.f64 #s(literal 1/4 binary64) (.f64 y y)))))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) (.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) z) (fma.f64 #s(literal -1/2 binary64) y z)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (.f64 #s(literal 1/4 binary64) (*.f64 y y)))))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) z) (fma.f64 #s(literal -1/2 binary64) y z)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (fma.f64 #s(literal -1/2 binary64) y z)) z (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) z) (fma.f64 #s(literal -1/2 binary64) y z)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) z) (fma.f64 #s(literal -1/2 binary64) y z)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (.f64 #s(literal 1/4 binary64) (.f64 y y))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (.f64 #s(literal 1/4 binary64) (.f64 y y))))) (fma.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) z) (fma.f64 #s(literal -1/2 binary64) y z)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -1/2 binary64)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(fma.f64 (.f64 z #s(literal -1/2 binary64)) y (fma.f64 z z (.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) y) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(fma.f64 (.f64 z y) #s(literal -1/2 binary64) (fma.f64 z z (.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y z) z (.f64 #s(literal 1/4 binary64) (.f64 y y)))
(fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -1/2 binary64) y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) z (fma.f64 z z (.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(fma.f64 #s(literal -1/2 binary64) (.f64 y (.f64 #s(literal -1/2 binary64) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(fma.f64 #s(literal -1/2 binary64) (.f64 z y) (fma.f64 z z (.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) y z) (.f64 #s(literal 1/4 binary64) (.f64 y y)))
(fma.f64 z (.f64 #s(literal -1/2 binary64) y) (fma.f64 z z (.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(fma.f64 y (.f64 #s(literal -1/2 binary64) z) (fma.f64 z z (.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(fma.f64 y (.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(fma.f64 y (.f64 #s(literal 1/4 binary64) y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) z) (fma.f64 #s(literal -1/2 binary64) y z)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) #s(literal -1 binary64))))
(+.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 (.f64 #s(literal -1/2 binary64) y) z)) (.f64 z z))
(+.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (.f64 z z)) (.f64 (.f64 #s(literal -1/2 binary64) y) z))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) (fma.f64 z z (.f64 #s(literal 1/4 binary64) (.f64 y y))))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))
(+.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z) (.f64 #s(literal 1/4 binary64) (*.f64 y y)))

eval160.0ms (1.8%)

Memory: -1.6MiB live, 343.4MiB allocated
Compiler: Compiled 37 065 to 2 397 computations (93.5% saved)

prune235.0ms (2.7%)

Memory

-15.8MiB live, 551.5MiB allocated

Pruning

37 alts after pruning (29 fresh and 8 done)

	Pruned	Kept	Total
New	1 161	15	1 176
Fresh	4	14	18
Picked	2	3	5
Done	0	5	5
Total	1 167	37	1 204

Accuracy

100.0%

Counts

1 204 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.9%	(fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z))) x)
	63.9%	(fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)))) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))) x)
	49.0%	(fma.f64 #s(approx (- (* (cos y) (cos y)) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z))) x)
✓	86.9%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
	51.6%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
✓	51.2%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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)))
	54.3%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
	59.0%	(-.f64 #s(approx (/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))) (.f64 z (sin.f64 y)))
✓	59.1%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
	56.9%	#s(approx (- (/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (.f64 (-.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (.f64 x x)) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 x x)) (/.f64 (cos.f64 y) x)) #s(literal 1 binary64))) (fma.f64 (/.f64 (sin.f64 y) x) z (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x))
	30.5%	#s(approx (- (/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	17.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
	41.7%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) y) #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (+.f64 x #s(literal 1 binary64))))
	42.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 y y) z) (.f64 #s(literal 1/2 binary64) y)) z)) z) z)))) y (+.f64 #s(literal 1 binary64) x)))
	28.7%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (*.f64 z z)))) y (+.f64 #s(literal 1 binary64) x)))
	30.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (.f64 #s(literal 1/4 binary64) (.f64 y y))))) y (+.f64 #s(literal 1 binary64) x)))
	17.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
	25.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
	60.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
✓	70.9%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
✓	58.4%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
	2.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (/.f64 (.f64 (.f64 (neg.f64 z) z) z) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) y)))
	5.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (/.f64 (.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
	2.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (.f64 y y) #s(literal -1/2 binary64))))
✓	10.7%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
	43.0%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/576 binary64)) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
	44.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
✓	44.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
	44.0%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)))) (*.f64 y y) x) #s(literal 1 binary64))))
	44.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
	43.0%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (fma.f64 (.f64 x (.f64 y y)) (/.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)) x) x)) #s(literal 1 binary64))))
	17.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (.f64 (.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)) y) y)) #s(literal 1 binary64))))
	30.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y y) x) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))))
	30.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
	17.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (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)))))
✓	18.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
	22.8%	#s(approx (+ (* (- (* (cos y) (cos y)) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (/ 1 (+ (cos y) (* (sin y) z)))) x) (.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (sin.f64 y)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))) z))

Compiler

Compiled 1 870 to 668 computations (64.3% saved)

regimes65.0ms (0.7%)

Memory

28.0MiB live, 146.7MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (/.f64 (.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (.f64 (.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)) y) y)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (/.f64 (.f64 (.f64 (neg.f64 z) z) z) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (*.f64 z z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (.f64 #s(literal 1/4 binary64) (.f64 y y))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (fma.f64 (.f64 x (.f64 y y)) (/.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)) x) x)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (*.f64 z z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) y) #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/576 binary64)) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)))) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 y y) z) (.f64 #s(literal 1/2 binary64) y)) z)) z) z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y y) x) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#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 (- (/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (* 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)))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 #s(approx (- (* (cos y) (cos y)) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z))) x)
(fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))) x)
(-.f64 #s(approx (/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))) (.f64 z (sin.f64 y)))
#s(approx (+ (* (- (* (cos y) (cos y)) (* (- 1/2 (* 1/2 (cos (+ y y)))) (* z z))) (/ 1 (+ (cos y) (* (sin y) z)))) x) (.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (sin.f64 y)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))) z))
(-.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (cos.f64 y) x)) (.f64 z (sin.f64 y)))
(fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 (sin.f64 y) z))) x)
(fma.f64 (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 #s(approx (cos y) #s(literal 1 binary64)) #s(approx (cos y) #s(literal 1 binary64)))) (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)))) x)
(fma.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (cos.f64 y))) x)
(/.f64 (fma.f64 (.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (pow.f64 (.f64 (neg.f64 z) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
#s(approx (- (/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (.f64 (-.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (.f64 x x)) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 x x)) (/.f64 (cos.f64 y) x)) #s(literal 1 binary64))) (fma.f64 (/.f64 (sin.f64 y) x) z (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x))
(/.f64 (fma.f64 (.f64 x x) x (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (.f64 x x)))

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

Calls

4 calls:

16.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
16.0ms	x
15.0ms	z
14.0ms	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)

regimes53.0ms (0.6%)

Memory

-16.0MiB live, 109.3MiB allocated

Counts

43 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (/.f64 (.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (.f64 (.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)) y) y)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (/.f64 (.f64 (.f64 (neg.f64 z) z) z) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (*.f64 z z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (.f64 #s(literal 1/4 binary64) (.f64 y y))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (fma.f64 (.f64 x (.f64 y y)) (/.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)) x) x)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (*.f64 z z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) y) #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/576 binary64)) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)))) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 y y) z) (.f64 #s(literal 1/2 binary64) y)) z)) z) z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y y) x) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#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 (- (/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (* 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)))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.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:

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

Results

Accuracy	Segments	Branch
99.5%	3	`x`
89.7%	2	`y`
99.5%	3	`z`
99.4%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes88.0ms (1%)

Memory

-13.2MiB live, 106.7MiB allocated

Counts

41 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (/.f64 (.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (.f64 (.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)) y) y)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (/.f64 (.f64 (.f64 (neg.f64 z) z) z) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (*.f64 z z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (.f64 #s(literal 1/4 binary64) (.f64 y y))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (fma.f64 (.f64 x (.f64 y y)) (/.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)) x) x)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (*.f64 z z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) y) #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/576 binary64)) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)))) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 y y) z) (.f64 #s(literal 1/2 binary64) y)) z)) z) z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y y) x) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#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 (- (/ (- (+ (* (cos (+ y y)) 1/2) 1/2) (* x x)) (- (cos y) x)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))

Outputs

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

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

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

Calls

4 calls:

36.0ms	y
26.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
12.0ms	z
11.0ms	x

Results

Accuracy	Segments	Branch
78.7%	3	`y`
74.4%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
70.9%	1	`x`
82.2%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes45.0ms (0.5%)

Memory

8.1MiB live, 47.2MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (/.f64 (.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (.f64 (.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)) y) y)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (/.f64 (.f64 (.f64 (neg.f64 z) z) z) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (*.f64 z z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (.f64 #s(literal 1/4 binary64) (.f64 y y))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (fma.f64 (.f64 x (.f64 y y)) (/.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)) x) x)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (*.f64 z z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) y) #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/576 binary64)) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)))) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 y y) z) (.f64 #s(literal 1/2 binary64) y)) z)) z) z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y y) x) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))

Outputs

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

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

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

Calls

2 calls:

32.0ms	y
11.0ms	z

Results

Accuracy	Segments	Branch
78.7%	3	`y`
77.8%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes54.0ms (0.6%)

Memory

27.5MiB live, 66.5MiB allocated

Counts

38 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (/.f64 (.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (.f64 (.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)) y) y)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (/.f64 (.f64 (.f64 (neg.f64 z) z) z) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (*.f64 z z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (.f64 #s(literal 1/4 binary64) (.f64 y y))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (fma.f64 (.f64 x (.f64 y y)) (/.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)) x) x)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (*.f64 z z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) y) #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/576 binary64)) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)))) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 y y) z) (.f64 #s(literal 1/2 binary64) y)) z)) z) z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y y) x) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))

Outputs

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

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

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

Calls

4 calls:

20.0ms	z
10.0ms	x
10.0ms	y
10.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
70.4%	3	`x`
73.1%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
65.3%	3	`z`
69.7%	4	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes59.0ms (0.7%)

Memory

-30.6MiB live, 49.4MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (/.f64 (.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (.f64 (.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)) y) y)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (/.f64 (.f64 (.f64 (neg.f64 z) z) z) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (*.f64 z z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (.f64 #s(literal 1/4 binary64) (.f64 y y))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (fma.f64 (.f64 x (.f64 y y)) (/.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)) x) x)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) #s(approx (+ ( 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (*.f64 z z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal -1/2 binary64) y z) z))) y) #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/576 binary64)) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y)) y #s(literal -1/4 binary64)))) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (neg.f64 z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 z (fma.f64 #s(literal -1/2 binary64) y z))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 y y) z) (.f64 #s(literal 1/2 binary64) y)) z)) z) z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y y) x) (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (.f64 y y) #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))))

Outputs

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

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

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

Calls

3 calls:

32.0ms	y
10.0ms	x
10.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
66.2%	3	`y`
64.2%	3	`x`
60.3%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes9.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (fma.f64 (.f64 #s(approx (+ ( -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (/.f64 (.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (fma.f64 (+.f64 (.f64 (.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) y) y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (+ (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 #s(approx (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) x) (.f64 (.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)) y) y)) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (+.f64 (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) x) #s(literal 1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (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))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (/.f64 (.f64 (.f64 (neg.f64 z) z) z) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (*.f64 z z)))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 #s(approx (+ ( -1/8 (* (* y y) y)) (* (neg z) (* z z))) (.f64 (.f64 (neg.f64 z) z) z)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/4 (* y y)) (* z (+ (* -1/2 y) z))) (.f64 #s(literal 1/4 binary64) (.f64 y y))))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) y z))) y (+.f64 #s(literal 1 binary64) x)))

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
66.2%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
66.1%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory

-29.5MiB live, 9.6MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
66.1%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
66.1%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
66.0%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
63.7%	3	`x`
61.6%	2	`z`
58.4%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes30.0ms (0.3%)

Memory

-29.7MiB live, 9.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

26.0ms	z
2.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms	x

Results

Accuracy	Segments	Branch
60.8%	2	`z`
58.4%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
58.4%	1	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes3.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
58.4%	1	`y`
58.4%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB 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 x) #s(literal 1 binary64)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
18.8%	1	`x`
18.8%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
18.8%	1	`z`
18.8%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch54.0ms (0.6%)

Memory

13.5MiB live, 51.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.2919217401023342e-9	544188964941.7693
30.0ms	-8217971623.344979	-570886.237464823

Samples

40.0ms

304×

valid

Compiler

Compiled 433 to 299 computations (30.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-cos: 20.0ms (62.1% of total)

ival-sin: 7.0ms (21.7% of total)

ival-add: 2.0ms (6.2% of total)

ival-mult: 2.0ms (6.2% of total)

ival-sub: 1.0ms (3.1% of total)

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

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

bsearch60.0ms (0.7%)

Memory

4.7MiB live, 44.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.7584961593583073e+175	4.14714155189726e+190
39.0ms	-8217971623.344979	-570886.237464823

Samples

48.0ms

272×

valid

Compiler

Compiled 357 to 248 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sin: 31.0ms (75.8% of total)

ival-cos: 6.0ms (14.7% of total)

ival-mult: 2.0ms (4.9% of total)

ival-sub: 1.0ms (2.4% of total)

ival-add: 1.0ms (2.4% of total)

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

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

bsearch58.0ms (0.7%)

Memory

-34.7MiB live, 43.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	29.35995392442879	1539.5443677773046
18.0ms	-2.6326684163351537	-0.0038236071124368638

Samples

24.0ms

240×

valid

Compiler

Compiled 600 to 344 computations (42.7% saved)

Precisions

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

ival-cos: 6.0ms (33.1% of total)

ival-sin: 6.0ms (33.1% of total)

ival-add: 3.0ms (16.6% of total)

ival-mult: 2.0ms (11% of total)

ival-sub: 1.0ms (5.5% of total)

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

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.991992821194983	0.9999999996757837
0.0ms	-552548236459.2311	-17895114331.13027

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch42.0ms (0.5%)

Memory

8.4MiB live, 47.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1539.5443677773046	40178.404185996034
21.0ms	-779020750.3974313	-1672.9524181674121

Samples

29.0ms

256×

valid

Compiler

Compiled 623 to 366 computations (41.3% saved)

Precisions

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

ival-cos: 11.0ms (47.9% of total)

ival-sin: 8.0ms (34.9% of total)

ival-mult: 2.0ms (8.7% of total)

ival-sub: 1.0ms (4.4% of total)

ival-add: 1.0ms (4.4% of total)

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

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

bsearch16.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	29.35995392442879	1539.5443677773046
14.0ms	-779020750.3974313	-1672.9524181674121

Samples

10.0ms

96×

valid

Compiler

Compiled 463 to 318 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 3.0ms (38.9% of total)

ival-sin: 3.0ms (38.9% of total)

ival-mult: 1.0ms (13% of total)

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

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

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

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

bsearch8.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1539.5443677773046	40178.404185996034
2.0ms	-2.9835236563994145e+49	-2.7705470862565424e+49

Samples

5.0ms

48×

valid

Compiler

Compiled 247 to 158 computations (36% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-cos: 1.0ms (26.3% of total)

ival-sin: 1.0ms (26.3% of total)

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

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

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

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

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

bsearch61.0ms (0.7%)

Memory

-28.2MiB live, 15.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
60.0ms	29.35995392442879	1539.5443677773046
0.0ms	-2.9835236563994145e+49	-2.7705470862565424e+49

Samples

8.0ms

80×

valid

Compiler

Compiled 239 to 158 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cos: 3.0ms (48.1% of total)

ival-sin: 2.0ms (32.1% of total)

ival-mult: 1.0ms (16% of total)

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

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

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

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

bsearch76.0ms (0.9%)

Memory

-6.3MiB live, 32.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
60.0ms	0.26207237865159966	29.35995392442879
14.0ms	-2331792404199.758	-187217767587.94678

Samples

66.0ms

208×

valid

Compiler

Compiled 314 to 222 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-cos: 51.0ms (84.2% of total)

ival-sin: 6.0ms (9.9% of total)

ival-sub: 1.0ms (1.7% of total)

ival-add: 1.0ms (1.7% of total)

ival-mult: 1.0ms (1.7% of total)

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

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

bsearch18.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.26207237865159966	29.35995392442879
11.0ms	-2331792404199.758	-187217767587.94678

Samples

12.0ms

112×

valid

Compiler

Compiled 262 to 183 computations (30.2% saved)

Precisions

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

ival-cos: 4.0ms (44.9% of total)

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

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

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

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

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

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

bsearch74.0ms (0.8%)

Memory

-2.9MiB live, 33.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
56.0ms	0.7170383316660178	112913166365019070.0
15.0ms	-2.620309779442931e-11	-4.696788408534651e-16

Samples

61.0ms

288×

valid

Compiler

Compiled 375 to 248 computations (33.9% saved)

Precisions

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

ival-cos: 43.0ms (80.5% of total)

ival-sin: 6.0ms (11.2% of total)

ival-mult: 2.0ms (3.7% of total)

ival-sub: 1.0ms (1.9% of total)

ival-add: 1.0ms (1.9% of total)

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

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

bsearch21.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-1.0478885508304569e+222	-1.0013185619546695e+208

Samples

13.0ms

160×

valid

Compiler

Compiled 195 to 134 computations (31.3% saved)

Precisions

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

ival-cos: 3.0ms (33.3% of total)

ival-sin: 3.0ms (33.3% of total)

ival-sub: 1.0ms (11.1% of total)

ival-add: 1.0ms (11.1% of total)

ival-mult: 1.0ms (11.1% of total)

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

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

simplify55.0ms (0.6%)

Memory

-22.7MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
40×	`+-commutative_binary64`
34×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	725
1	182	725
2	212	725
3	229	725
4	239	725
5	241	725

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -580000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 5494391545392005/4503599627370496 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 -8000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272 binary64)) #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)))))
(if (<=.f64 y #s(literal -1261007895663739/1125899906842624 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 30 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -500000000000 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -6500000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 7800 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -1720000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 30 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -29000000000000000135714510502716179543341309886464 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 8500 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) y))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -29000000000000000135714510502716179543341309886464 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 180 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))) z))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -1100000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 11 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -360000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 19/2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -3961408125713217/618970019642690137449562112 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 3242591731706757/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 z #s(literal -64000000000000001370979005314685276319560623791676754827309382101906671397333143641912385878216156791229265876373179653813052830647676378982054665493470724701941903548316172916727928371561463444009773053198717572612096 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (neg.f64 z) y))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -580000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 5494391545392005/4503599627370496 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 -580000 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 5494391545392005/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z))))
(if (<=.f64 z #s(literal -8000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272 binary64)) #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)))))
(if (<=.f64 y #s(literal -1261007895663739/1125899906842624 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 30 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -1261007895663739/1125899906842624 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 30 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) z) (.f64 y y) z) y))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -500000000000 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))))
(if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) #s(literal -500000000000 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -6500000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 7800 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -6500000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 7800 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) z) (.f64 y y) z) y))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -1720000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 30 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -29000000000000000135714510502716179543341309886464 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 8500 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 z (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) y))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -29000000000000000135714510502716179543341309886464 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 8500 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(approx (* z (sin y)) (.f64 (.f64 (fma.f64 #s(approx (+ (* 1/120 (* y y)) -1/6) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) z) y))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -29000000000000000135714510502716179543341309886464 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 180 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))) z))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -29000000000000000135714510502716179543341309886464 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 180 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(approx (* z (sin y)) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y) z))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -1100000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 11 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -360000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 19/2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal -3961408125713217/618970019642690137449562112 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 3242591731706757/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 z #s(literal -64000000000000001370979005314685276319560623791676754827309382101906671397333143641912385878216156791229265876373179653813052830647676378982054665493470724701941903548316172916727928371561463444009773053198717572612096 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (.f64 (neg.f64 z) y))) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

soundness1.7s (19.2%)

Memory

-194.9MiB live, 825.4MiB allocated

Rules

14 646×	`lower-fma.f64`
14 646×	`lower-fma.f32`
10 746×	`lower-fma.f64`
10 746×	`lower-fma.f32`
8 470×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	612
1	287	607
2	770	605
3	2083	601
4	4366	601
5	6335	601
0	8451	579
0	166	2810
1	476	2745
2	1322	2733
3	3928	2657
0	8426	2539
0	771	7598
1	2431	7279
2	7950	7235
0	8121	6862
0	735	8027
1	2342	7720
2	7999	7686
0	8006	7235

Stop Event

1×	fuel
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 706 to 339 computations (52% saved)

preprocess160.0ms (1.8%)

Memory: 0.4MiB live, 232.7MiB allocated
Compiler: Compiled 800 to 236 computations (70.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	13	24
1	22	24
2	42	24
3	66	24
4	97	24
5	151	24
6	264	24
7	398	24
8	480	24
9	528	24
10	558	24
0	558	24

Iter	Nodes	Cost
0	8	24
0	13	24
1	22	24
2	42	24
3	66	24
4	97	24
5	151	24
6	264	24
7	398	24
8	480	24
9	528	24
10	558	24
0	558	24

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (12.7%)

explain155.0ms (1.8%)

preprocess75.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify22.0ms (0.2%)

localize28.0ms (0.3%)

series37.0ms (0.4%)

simplify151.0ms (1.7%)

rewrite215.0ms (2.4%)

eval69.0ms (0.8%)

prune43.0ms (0.5%)

simplify103.0ms (1.2%)

localize84.0ms (1%)

series31.0ms (0.4%)

simplify216.0ms (2.5%)

rewrite223.0ms (2.5%)

eval168.0ms (1.9%)

prune202.0ms (2.3%)

simplify162.0ms (1.8%)

localize227.0ms (2.6%)

series122.0ms (1.4%)

simplify202.0ms (2.3%)

rewrite436.0ms (4.9%)

eval311.0ms (3.5%)

prune239.0ms (2.7%)

simplify141.0ms (1.6%)

localize283.0ms (3.2%)

series84.0ms (0.9%)

simplify169.0ms (1.9%)

rewrite264.0ms (3%)

eval160.0ms (1.8%)

prune235.0ms (2.7%)

regimes65.0ms (0.7%)

regimes53.0ms (0.6%)

regimes88.0ms (1%)

regimes45.0ms (0.5%)

regimes54.0ms (0.6%)

regimes59.0ms (0.7%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes13.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes30.0ms (0.3%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

bsearch54.0ms (0.6%)

bsearch60.0ms (0.7%)

bsearch58.0ms (0.7%)

bsearch1.0ms (0%)

bsearch42.0ms (0.5%)

bsearch16.0ms (0.2%)

bsearch8.0ms (0.1%)

bsearch61.0ms (0.7%)

bsearch76.0ms (0.9%)

bsearch18.0ms (0.2%)

bsearch74.0ms (0.8%)

bsearch21.0ms (0.2%)

simplify55.0ms (0.6%)

soundness1.7s (19.2%)

preprocess160.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	13	24
1	22	24
2	42	24
3	66	24
4	97	24
5	151	24
6	264	24
7	398	24
8	480	24
9	528	24
10	558	24
0	558	24