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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 (12.8%)

Memory

21.3MiB live, 1 727.8MiB allocated

Samples

809.0ms	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 576.0ms

ival-sin: 221.0ms (38.4% of total)

ival-cos: 178.0ms (30.9% of total)

ival-add: 90.0ms (15.6% of total)

ival-mult: 77.0ms (13.4% of total)

ival-true: 6.0ms (1% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

explain102.0ms (1.2%)

Memory

9.4MiB live, 170.5MiB allocated

FPErrors

Click to see full error table

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

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

46.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sin: 12.0ms (39.7% of total)

ival-cos: 10.0ms (33.1% of total)

ival-add: 4.0ms (13.2% of total)

ival-mult: 3.0ms (9.9% of total)

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

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

preprocess65.0ms (0.8%)

Memory

-5.5MiB live, 33.1MiB allocated

Algorithm

1×	egg-herbie

Rules

334×	`sub-neg`
294×	`cancel-sign-sub-inv`
286×	`associate-+l-`
272×	`distribute-rgt-in`
236×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	92	82
2	234	81
3	588	81
4	1029	81
5	1414	81
6	1696	81
7	1888	81
8	1995	81
9	2055	81
10	2069	81
0	8	9
0	13	9
1	18	9
2	25	9
3	27	9
0	27	8

Stop Event

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

Calls

Call 1

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

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

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z (cos.f64 y))
cost-diff	0	(sin.f64 y)
cost-diff	0	(+.f64 x (sin.f64 y))
cost-diff	128	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

Rules

24×	`lower-+.f32`
20×	`lower-+.f64`
12×	`lower-fma.f64`
12×	`lower-fma.f32`
10×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	18	24
2	25	24
3	27	24
0	27	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.4%)

Memory

12.0MiB live, 49.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.01171875	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
accuracy	0.09765625	(*.f64 z (cos.f64 y))

Samples

25.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 6.0ms (37.1% of total)

ival-sin: 6.0ms (37.1% of total)

ival-add: 2.0ms (12.4% of total)

ival-mult: 2.0ms (12.4% of total)

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

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

series12.0ms (0.1%)

Memory

-26.4MiB live, 16.8MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#s(alt (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #<representation binary64>) () ())
#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (.f64 z (cos.f64 y)) (patch (.f64 z (cos.f64 y)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())

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

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(+ (+ x (sin y)) (* z (cos y)))
2.0ms	z	@	0	(+ (+ x (sin y)) (* z (cos y)))
1.0ms	x	@	0	(+ (+ x (sin y)) (* z (cos y)))
1.0ms	z	@	0	(* z (cos y))
1.0ms	y	@	inf	(+ (+ x (sin y)) (* z (cos y)))

simplify209.0ms (2.5%)

Memory

1.7MiB live, 287.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 712×	`lower-fma.f64`
11 712×	`lower-fma.f32`
3 160×	`lower-*.f64`
3 160×	`lower-*.f32`
2 322×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	647
1	310	643
2	852	633
3	2193	631
4	4247	631
5	7326	631
0	8046	578

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 101

Calls

Call 1

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

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

rewrite239.0ms (2.8%)

Memory

0.7MiB live, 314.0MiB allocated

Rules

4 470×	`lower-*.f32`
4 468×	`lower-*.f64`
4 404×	`lower-fma.f64`
4 404×	`lower-fma.f32`
2 454×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	43	21
2	362	21
3	5548	21
0	8320	20

Stop Event

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

Counts

5 → 172

Calls

Call 1

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

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

eval33.0ms (0.4%)

Memory: 17.0MiB live, 63.9MiB allocated
Compiler: Compiled 6 709 to 594 computations (91.1% saved)

prune46.0ms (0.5%)

Memory

7.3MiB live, 82.7MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	261	12	273
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	262	12	274

Accuracy

100.0%

Counts

274 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.2%	(fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (.f64 z (cos.f64 y)))) x)
	100.0%	(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
▶	100.0%	(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
	99.7%	(.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
▶	60.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y)))
	53.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x)))
▶	57.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
▶	56.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
▶	65.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
	59.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x)))
	43.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))

Compiler

Compiled 358 to 202 computations (43.6% saved)

simplify16.0ms (0.2%)

Memory

-18.2MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

340×	`lower-fma.f32`
334×	`lower-fma.f64`
146×	`lower-*.f32`
144×	`lower-*.f64`
132×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	144
0	37	140
1	63	140
2	102	140
3	181	140
4	206	140
5	220	140
6	227	140
0	227	140

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize86.0ms (1%)

Memory

-9.2MiB live, 121.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.0390625	(fma.f64 z (cos.f64 y) (sin.f64 y))
accuracy	25.398581282112673	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y)))
accuracy	0	(+.f64 (sin.f64 y) x)
accuracy	0	(sin.f64 y)
accuracy	27.07408100598448	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
accuracy	0	(*.f64 z #s(literal -1/2 binary64))
accuracy	0.00390625	(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
accuracy	0.0390625	(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
accuracy	27.605093263590604	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)))
accuracy	0	(+.f64 z x)
accuracy	22.293961227130815	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
accuracy	0.0390625	(fma.f64 z (cos.f64 y) (sin.f64 y))

Samples

49.0ms

256×

valid

Compiler

Compiled 126 to 22 computations (82.5% saved)

Precisions

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

ival-add: 10.0ms (31.2% of total)

ival-cos: 10.0ms (31.2% of total)

ival-mult: 6.0ms (18.7% of total)

ival-sin: 6.0ms (18.7% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Memory

-6.7MiB live, 31.0MiB allocated

Counts

14 → 384

Calls

Call 1

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

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

Calls

96 calls:

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

simplify315.0ms (3.7%)

Memory

14.7MiB live, 216.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 312×	`lower-fma.f64`
13 312×	`lower-fma.f32`
5 162×	`lower-*.f64`
5 162×	`lower-*.f32`
1 608×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	3026
1	591	3008
2	1690	2920
3	6078	2908
0	8243	2587

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 358

Calls

Call 1

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

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

rewrite410.0ms (4.9%)

Memory

5.0MiB live, 272.3MiB allocated

Rules

5 008×	`lower-fma.f32`
5 002×	`lower-fma.f64`
4 598×	`lower-*.f32`
4 596×	`lower-*.f64`
4 584×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	118
0	37	114
1	156	114
2	1378	114
0	8474	114

Stop Event

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

Counts

14 → 418

Calls

Call 1

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

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

eval184.0ms (2.2%)

Memory: -3.8MiB live, 153.0MiB allocated
Compiler: Compiled 21 574 to 1 373 computations (93.6% saved)

prune182.0ms (2.2%)

Memory

4.0MiB live, 134.3MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	844	23	867
Fresh	6	1	7
Picked	2	3	5
Done	0	0	0
Total	852	27	879

Accuracy

100.0%

Counts

879 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
	59.9%	(+.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x)
	82.3%	(+.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x)
	99.7%	(.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
	86.4%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x))
▶	43.4%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) (*.f64 z (cos.f64 y)))
	39.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (.f64 (fma.f64 y (fma.f64 (.f64 y #s(literal -1/2 binary64)) z #s(literal 1 binary64)) x) (fma.f64 y (fma.f64 (.f64 y #s(literal -1/2 binary64)) z #s(literal 1 binary64)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (.f64 y #s(literal -1/2 binary64)) z #s(literal 1 binary64)) (neg.f64 x))) z))
✓	60.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y)))
	30.5%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 z y) (.f64 z y)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (-.f64 z x) (.f64 (fma.f64 (.f64 y #s(literal -1/2 binary64)) z #s(literal -1 binary64)) (.f64 (+.f64 z x) (-.f64 z x)))) (.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z #s(literal -1 binary64)) (-.f64 z x))))
	39.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)))
	22.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 z z) (.f64 z x))) (fma.f64 x (.f64 x x) (.f64 z (*.f64 z z))))))
	60.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))))
▶	56.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 y (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z #s(literal 1 binary64)) x)))))
	65.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
✓	57.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
	29.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x))
▶	30.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y)) x))
✓	65.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
	22.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))))
	39.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
	31.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)))
	19.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)))
	30.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x)))
▶	35.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 x y)))
	25.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z (+ (* y (+ (* y (* z -1/2)) 1)) x)) (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)))
	50.5%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z (+ (* y (+ (* y (* z -1/2)) 1)) x)) (fma.f64 x (/.f64 (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) z) x) x)))
	2.8%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z (+ (* y (+ (* y (* z -1/2)) 1)) x)) (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))))

Compiler

Compiled 861 to 431 computations (49.9% saved)

simplify36.0ms (0.4%)

Memory

-25.1MiB live, 14.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

468×	`lower-fma.f32`
460×	`lower-fma.f64`
242×	`lower-*.f32`
234×	`lower-*.f64`
144×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	225
0	57	203
1	97	203
2	165	203
3	316	203
4	402	203
5	403	203
6	404	203
0	404	203

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize102.0ms (1.2%)

Memory

37.5MiB live, 76.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.09765625	(*.f64 z (cos.f64 y))
accuracy	36.17264151659162	#s(approx (+ (+ (* z (cos y)) (sin y)) x) (*.f64 z (cos.f64 y)))
accuracy	0.0390625	(fma.f64 y (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z #s(literal 1 binary64)) x)
accuracy	0.1875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 y (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z #s(literal 1 binary64)) x))))
accuracy	0.36361868810926723	(/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 y (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z #s(literal 1 binary64)) x)))
accuracy	27.605093263590604	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 y (fma.f64 (*.f64 y #s(literal -1/2 binary64)) z #s(literal 1 binary64)) x)))))
accuracy	0.0703125	(.f64 y (.f64 y y))
accuracy	0.0859375	(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y)
accuracy	27.07408100598448	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y)) x))
accuracy	31.231594119089237	#s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y))
accuracy	0	(+.f64 x y)
accuracy	25.645059456583144	#s(approx (+ (sin y) x) (+.f64 x y))
accuracy	27.07408100598448	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 x y)))
accuracy	0	(+.f64 (sin.f64 y) x)
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.03125	(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))

Samples

72.0ms

256×

valid

Compiler

Compiled 172 to 31 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-sin: 19.0ms (34% of total)

ival-mult: 12.0ms (21.5% of total)

ival-add: 11.0ms (19.7% of total)

ival-cos: 6.0ms (10.7% of total)

const: 4.0ms (7.2% of total)

ival-div: 3.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.6%)

Memory

-24.4MiB live, 13.5MiB allocated

Counts

19 → 504

Calls

Call 1

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

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

Calls

126 calls:

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

simplify368.0ms (4.4%)

Memory

7.1MiB live, 195.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 004×	`lower-fma.f64`
10 004×	`lower-fma.f32`
4 380×	`lower-*.f64`
4 380×	`lower-*.f32`
4 314×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	439	5596
1	1336	5507
2	4413	5347
0	8246	4903

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 468

Calls

Call 1

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

rewrite444.0ms (5.3%)

Memory

19.5MiB live, 377.1MiB allocated

Rules

4 774×	`lower-fma.f32`
4 766×	`lower-fma.f64`
4 374×	`lower-*.f32`
4 366×	`lower-*.f64`
4 320×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	196
0	57	174
1	247	174
2	1883	174
0	8867	174

Stop Event

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

Counts

19 → 452

Calls

Call 1

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

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

eval225.0ms (2.7%)

Memory: 15.2MiB live, 249.8MiB allocated
Compiler: Compiled 22 418 to 1 680 computations (92.5% saved)

prune425.0ms (5.1%)

Memory

-35.6MiB live, 303.9MiB allocated

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	915	18	933
Fresh	5	14	19
Picked	1	4	5
Done	0	3	3
Total	921	39	960

Accuracy

100.0%

Counts

960 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
	59.9%	(+.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x)
	82.3%	(+.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x)
▶	99.7%	(.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
	86.3%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) (fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x))
	86.4%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x))
✓	43.4%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) (*.f64 z (cos.f64 y)))
	25.1%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	25.3%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	26.9%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	25.3%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)))
	25.2%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) #s(approx (* z (cos y)) (fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)))
✓	60.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y)))
	39.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)))
	22.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 z z) (.f64 z x))) (fma.f64 x (.f64 x x) (.f64 z (*.f64 z z))))))
	60.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))))
	59.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z #s(approx (+ (* y (+ (* (* y -1/2) z) 1)) x) (+.f64 x y))))))
	65.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
	35.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x)) (+.f64 x y)))))
	50.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (fma.f64 z (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z) x)) (neg.f64 x))))))
▶	2.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x))) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal -4 binary64) (.f64 z (.f64 z y)))) (*.f64 y y)))))
	40.5%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x))) (/.f64 #s(literal 1 binary64) x))))
	56.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))))
✓	57.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
	29.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x))
✓	30.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y)) x))
▶	26.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) #s(approx (+ (* -1/6 (* y (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) x))
✓	65.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
	22.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))))
	39.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
	2.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x)))) (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
▶	31.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)))
	19.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)))
	30.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)))
✓	35.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 x y)))
	12.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))))
▶	22.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))))
	35.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ x y) (fma.f64 x (/.f64 y x) x))))
	2.8%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z (+ (* y (+ (* y (* z -1/2)) 1)) x)) (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))))

Compiler

Compiled 1 121 to 595 computations (46.9% saved)

simplify205.0ms (2.4%)

Memory

31.1MiB live, 379.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal -4 binary64) (.f64 z (.f64 z y)))) (*.f64 y y))
cost-diff	0	#s(approx (/ 1 (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x))) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal -4 binary64) (.f64 z (.f64 z y)))) (*.f64 y y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x))) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal -4 binary64) (.f64 z (.f64 z y)))) (*.f64 y y))))
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x))) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal -4 binary64) (.f64 z (.f64 z y)))) (*.f64 y y)))))
cost-diff	0	(*.f64 (+.f64 y x) (-.f64 x y))
cost-diff	0	#s(approx (+ (sin y) x) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))))
cost-diff	1728	(.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
cost-diff	0	#s(approx (+ (* -1/6 (* y (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))
cost-diff	0	#s(approx (sin y) #s(approx (+ (* -1/6 (* y (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))))
cost-diff	0	(+.f64 #s(approx (sin y) #s(approx (+ (* -1/6 (* y (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) x)
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) #s(approx (+ (* -1/6 (* y (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) x))
cost-diff	0	(+.f64 y z)
cost-diff	0	#s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z))
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
cost-diff	320	(.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
cost-diff	28032	(.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))

Rules

12 500×	`lower-fma.f32`
12 498×	`lower-fma.f64`
5 198×	`lower-*.f32`
5 180×	`lower-*.f64`
2 302×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	480
0	89	428
1	158	392
2	304	384
3	901	384
4	5525	384
0	8426	372

Stop Event

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

Calls

Call 1

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

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

localize214.0ms (2.5%)

Memory

-5.5MiB live, 391.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.6038338453097938	(/.f64 #s(literal -4 binary64) (.f64 z (.f64 z y)))
accuracy	9.24942225321844	(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal -4 binary64) (.f64 z (.f64 z y)))) (*.f64 y y))
accuracy	27.605093263590604	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x))) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal -4 binary64) (.f64 z (.f64 z y)))) (*.f64 y y)))))
accuracy	43.55591453216266	#s(approx (/ 1 (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x))) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal -4 binary64) (.f64 z (.f64 z y)))) (*.f64 y y)))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (-.f64 x y))
accuracy	25.299589508331053	(.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
accuracy	25.645059456583144	#s(approx (+ (sin y) x) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
accuracy	27.07408100598448	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))))
accuracy	0.1328125	(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
accuracy	27.07408100598448	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) #s(approx (+ (* -1/6 (* y (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) x))
accuracy	30.987062440825454	#s(approx (+ (* -1/6 (* y (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))
accuracy	31.231594119089237	#s(approx (sin y) #s(approx (+ (* -1/6 (* y (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))))
accuracy	0	(+.f64 y z)
accuracy	25.398581282112673	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)))
accuracy	30.408927847205028	#s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z))
accuracy	0.03125	(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
accuracy	0.078125	(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
accuracy	0.09765625	(*.f64 z (cos.f64 y))
accuracy	0.1953125	(.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))

Samples

140.0ms

256×

valid

Compiler

Compiled 302 to 46 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 51.0ms (43.2% of total)

ival-div: 31.0ms (26.3% of total)

ival-add: 12.0ms (10.2% of total)

ival-cos: 11.0ms (9.3% of total)

ival-sin: 6.0ms (5.1% of total)

const: 4.0ms (3.4% of total)

ival-sub: 2.0ms (1.7% of total)

exact: 1.0ms (0.8% of total)

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

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

series66.0ms (0.8%)

Memory

-6.0MiB live, 106.5MiB allocated

Counts

24 → 648

Calls

Call 1

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

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

Calls

162 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(* (+ y x) (- x y))
1.0ms	y	@	0	(/ (+ (/ -2 z) (/ -4 (* z (* z y)))) (* y y))
1.0ms	z	@	0	(/ (+ (/ -2 z) (/ -4 (* z (* z y)))) (* y y))
1.0ms	z	@	-inf	(/ (+ (/ -2 z) (/ -4 (* z (* z y)))) (* y y))
1.0ms	z	@	inf	(/ (+ (/ -2 z) (/ -4 (* z (* z y)))) (* y y))

simplify504.0ms (6%)

Memory

-68.8MiB live, 427.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 834×	`lower-fma.f64`
5 834×	`lower-fma.f32`
5 144×	`lower-*.f64`
5 144×	`lower-*.f32`
3 374×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	771	7266
1	2359	7094
2	7594	7082
0	8136	6627

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 612

Calls

Call 1

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

rewrite323.0ms (3.8%)

Memory

0.9MiB live, 594.5MiB allocated

Rules

5 638×	`lower-/.f32`
5 626×	`lower-/.f64`
4 278×	`lower-*.f32`
4 260×	`lower-*.f64`
3 082×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	409
0	89	343
1	355	315
2	3049	315
0	9008	299

Stop Event

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

Counts

24 → 667

Calls

Call 1

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

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

eval192.0ms (2.3%)

Memory: 20.7MiB live, 283.0MiB allocated
Compiler: Compiled 35 654 to 2 413 computations (93.2% saved)

prune244.0ms (2.9%)

Memory

-18.1MiB live, 439.5MiB allocated

Pruning

51 alts after pruning (41 fresh and 10 done)

	Pruned	Kept	Total
New	1 315	15	1 330
Fresh	1	26	27
Picked	2	3	5
Done	0	7	7
Total	1 318	51	1 369

Accuracy

100.0%

Counts

1 369 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
	59.9%	(+.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x)
	82.3%	(+.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x)
	43.1%	(.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(approx (/ 1 (- (+ x (sin y)) ( z (cos y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))))))
	86.3%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) (fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x))
	86.4%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) (fma.f64 x (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) x))
✓	43.4%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) (*.f64 z (cos.f64 y)))
	25.1%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	25.3%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	26.9%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	25.3%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)))
	25.2%	#s(approx (+ (+ (* z (cos y)) (sin y)) x) #s(approx (* z (cos y)) (fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)))
✓	60.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y)))
	39.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x)))
	22.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 z z) (.f64 z x))) (fma.f64 x (.f64 x x) (.f64 z (*.f64 z z))))))
	60.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))))
	59.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z #s(approx (+ (* y (+ (* (* y -1/2) z) 1)) x) (+.f64 x y))))))
	65.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z x))))
	35.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x)) (+.f64 x y)))))
	50.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (fma.f64 z (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z) x)) (neg.f64 x))))))
✓	2.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x))) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal -4 binary64) (.f64 z (.f64 z y)))) (*.f64 y y)))))
	40.5%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x))) (/.f64 #s(literal 1 binary64) x))))
	56.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))))
	2.5%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (+.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal -4 binary64) (.f64 y (.f64 z z))))))))
	2.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x))) #s(approx (/ (+ (/ -2 z) (/ -4 (* z (* z y)))) (* y y)) (/.f64 #s(literal -4 binary64) (.f64 z (.f64 y (.f64 z (.f64 y y)))))))))
✓	57.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
	29.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x))
✓	30.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y)) x))
✓	26.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (sin y) #s(approx (+ (* -1/6 (* y (* y y))) y) (.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y))))) x))
✓	65.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
	22.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 (fma.f64 x (.f64 x x) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))))
	39.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x))))
	2.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ z (+ (* y (+ (* (* y -1/2) z) 1)) x)))) (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
	18.5%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (-.f64 y z))))
✓	31.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)))
	19.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y)))
	30.8%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ y z) (fma.f64 z (/.f64 y z) z))))
	22.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) #s(approx (+ y z) (fma.f64 y (/.f64 z y) y))))
	30.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)))
✓	35.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 x y)))
	10.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (-.f64 x y)) (fma.f64 x (-.f64 x y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))))
	22.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 y x)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 y x)))))
	35.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (.f64 (-.f64 x y) (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))))
	10.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (.f64 (+.f64 x y) (-.f64 x y)))))))
	22.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (+.f64 x y)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))))))
	20.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y)))))
	5.5%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) #s(approx (/ 1 (- x y)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y))) y)))))
	12.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (-.f64 x y)) (/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))))
	5.8%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (.f64 #s(approx ( (+ y x) (- x y)) (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))))
	35.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ x y) (fma.f64 x (/.f64 y x) x))))
	2.8%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z (+ (* y (+ (* y (* z -1/2)) 1)) x)) (.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))))

Compiler

Compiled 1 932 to 689 computations (64.3% saved)

regimes90.0ms (1.1%)

Memory

7.0MiB live, 124.0MiB allocated

Counts

69 → 1

Calls

Call 1

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

Outputs
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)

Calls

4 calls:

24.0ms	z
22.0ms	y
19.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
19.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes105.0ms (1.3%)

Memory

-30.4MiB live, 88.2MiB allocated

Counts

58 → 3

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	y
21.0ms	x
17.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
16.0ms	z

Results

Accuracy	Segments	Branch
96.0%	3	`x`
87.6%	3	`y`
97.6%	3	`z`
99.8%	5	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes57.0ms (0.7%)

Memory

17.7MiB live, 130.9MiB allocated

Counts

56 → 4

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	x
18.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
17.0ms	z

Results

Accuracy	Segments	Branch
74.0%	3	`x`
82.7%	5	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
89.8%	4	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes42.0ms (0.5%)

Memory

-19.6MiB live, 70.5MiB allocated

Counts

54 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

22.0ms	z
18.0ms	y

Results

Accuracy	Segments	Branch
81.2%	3	`y`
80.5%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes79.0ms (0.9%)

Memory

19.1MiB live, 96.3MiB allocated

Counts

53 → 5

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	z
16.0ms	y
15.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

Results

Accuracy	Segments	Branch
82.5%	5	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
65.2%	1	`z`
70.6%	3	`y`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes66.0ms (0.8%)

Memory

-10.6MiB live, 72.4MiB allocated

Counts

52 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

33.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
16.0ms	y
15.0ms	x

Results

Accuracy	Segments	Branch
70.6%	3	`y`
69.9%	3	`x`
70.5%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes9.0ms (0.1%)

Memory

16.3MiB live, 16.4MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
70.6%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-25.7MiB live, 12.6MiB allocated

Counts

17 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
70.5%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
70.5%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.2%	1	`x`
65.2%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
65.2%	1	`y`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes8.0ms (0.1%)

Memory

-22.6MiB live, 15.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

3.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
37.9%	2	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
50.3%	3	`z`
49.6%	3	`x`
43.5%	5	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
35.4%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
35.4%	1	`y`
35.4%	1	`x`
35.4%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch31.0ms (0.4%)

Memory

0.8MiB live, 40.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.0249116104520469e-125	1.22413858783812e-124
18.0ms	-8.514719721024828e-79	-1.1701256065303183e-80

Samples

22.0ms

208×

valid

Compiler

Compiled 275 to 183 computations (33.5% saved)

Precisions

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

ival-cos: 8.0ms (47.7% of total)

ival-sin: 5.0ms (29.8% of total)

ival-add: 2.0ms (11.9% of total)

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

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

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

bsearch39.0ms (0.5%)

Memory

24.3MiB live, 60.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	2.1061920923592053e+110	1.2742521456702445e+118
0.0ms	1.0249116104520469e-125	1.22413858783812e-124
19.0ms	-30433441600576426000.0	-42239659123057180.0

Samples

26.0ms

272×

valid

Compiler

Compiled 414 to 275 computations (33.6% saved)

Precisions

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

ival-cos: 9.0ms (46.4% of total)

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

ival-add: 2.0ms (10.3% of total)

ival-mult: 2.0ms (10.3% of total)

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

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

bsearch43.0ms (0.5%)

Memory

-14.5MiB live, 55.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.003286720030708855	6.3429254231137016
25.0ms	-32180116774091.9	-0.7092721015647989

Samples

21.0ms

288×

valid

Compiler

Compiled 519 to 338 computations (34.9% saved)

Precisions

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

ival-sin: 5.0ms (34.7% of total)

ival-cos: 4.0ms (27.8% of total)

ival-add: 3.0ms (20.8% of total)

ival-mult: 2.0ms (13.9% of total)

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

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

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999013259515	56421.33733703194
0.0ms	1.7367071911012673e-19	8.221878029678548e-17
0.0ms	-2.0407612172026043e-5	-2.5934229322198576e-21
0.0ms	-1542955.7292185572	-0.9956035167165647

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch44.0ms (0.5%)

Memory

-18.5MiB live, 72.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.003286720030708855	6.3429254231137016
26.0ms	-8.75678527155867e+36	-3.052499638353915e+26

Samples

31.0ms

256×

valid

Compiler

Compiled 501 to 320 computations (36.1% saved)

Precisions

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

ival-sin: 10.0ms (44.7% of total)

ival-cos: 8.0ms (35.8% of total)

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

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

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

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

bsearch36.0ms (0.4%)

Memory

21.5MiB live, 58.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	6.3429254231137016	22397500.54906609
12.0ms	-2.255018571387426e+37	-8.75678527155867e+36

Samples

26.0ms

224×

valid

Compiler

Compiled 351 to 224 computations (36.2% saved)

Precisions

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

ival-cos: 9.0ms (45.1% of total)

ival-sin: 8.0ms (40.1% of total)

ival-add: 2.0ms (10% of total)

ival-mult: 2.0ms (10% of total)

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

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

bsearch22.0ms (0.3%)

Memory

-3.3MiB live, 34.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	5.9821388752119774e+29	3.116951254184818e+32
0.0ms	-2.255018571387426e+37	-8.75678527155867e+36

Samples

16.0ms

128×

valid

Compiler

Compiled 249 to 157 computations (36.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 4.0ms (39.3% of total)

ival-sin: 4.0ms (39.3% of total)

ival-add: 1.0ms (9.8% of total)

ival-mult: 1.0ms (9.8% of total)

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

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	5.9821388752119774e+29	3.116951254184818e+32
0.0ms	-2.255018571387426e+37	-8.75678527155867e+36

Compiler

Compiled 249 to 157 computations (36.9% saved)

bsearch44.0ms (0.5%)

Memory

-22.7MiB live, 58.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.969781768296169e-7	42.62539699722089
22.0ms	-1.114572001737113e+78	-5.091232835590637e+74

Samples

30.0ms

272×

valid

Compiler

Compiled 321 to 184 computations (42.7% saved)

Precisions

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

ival-cos: 13.0ms (55.5% of total)

ival-sin: 6.0ms (25.6% of total)

ival-add: 2.0ms (8.5% of total)

ival-mult: 2.0ms (8.5% of total)

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

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

simplify11.0ms (0.1%)

Memory

26.8MiB live, 26.8MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
4×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	620
1	116	620

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(if (<=.f64 z #s(literal -7092144455206147/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (+.f64 #s(approx (+ (* z (cos y)) (sin y)) (.f64 z (cos.f64 y))) x) (if (<=.f64 z #s(literal 5716092316252427/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 (sin.f64 y) x)) (+.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x)))
(if (<=.f64 z #s(literal -290000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 5716092316252427/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 18500000000000000287849198395136595948961725843039636517340755737970424951547980510402229713428377782009816196055040 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))
(if (<=.f64 y #s(literal -3242591731706757/4503599627370496 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 1170935903116329/4503599627370496 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 (sin.f64 y) x))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -1000000 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (+.f64 #s(approx (+ ( z (cos y)) (sin y)) (+.f64 y z)) x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))))
(if (<=.f64 y #s(literal -340000000000000026508001280 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 5404319552844595/1125899906842624 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -8800000000000000019124122676134674432 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 950 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -8800000000000000019124122676134674432 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 3800000000000000131856569729024 binary64)) (+.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -8800000000000000019124122676134674432 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 3800000000000000131856569729024 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
(if (<=.f64 z #s(literal -15500000000000000568738280260635751077721172948077017432411700400813003243520 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z))) (if (<=.f64 z #s(literal 1080863910568919/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 x y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 x y)))

Outputs
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(if (<=.f64 z #s(literal -7092144455206147/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (+.f64 #s(approx (+ (* z (cos y)) (sin y)) (.f64 z (cos.f64 y))) x) (if (<=.f64 z #s(literal 5716092316252427/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 (sin.f64 y) x)) (+.f64 #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))) x)))
(if (<=.f64 z #s(literal -7092144455206147/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (+.f64 x #s(approx (+ (* z (cos y)) (sin y)) (.f64 z (cos.f64 y)))) (if (<=.f64 z #s(literal 5716092316252427/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 (sin.f64 y) x)) (+.f64 x #s(approx (+ (* z (cos y)) (sin y)) (*.f64 z (cos.f64 y))))))
(if (<=.f64 z #s(literal -290000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 5716092316252427/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 18500000000000000287849198395136595948961725843039636517340755737970424951547980510402229713428377782009816196055040 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))
(if (<=.f64 y #s(literal -3242591731706757/4503599627370496 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 1170935903116329/4503599627370496 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 (sin.f64 y) x))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -1000000 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (+.f64 #s(approx (+ ( z (cos y)) (sin y)) (+.f64 y z)) x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))))
(if (<=.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal -1000000 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal -5902958103587057/295147905179352825856 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (+.f64 x #s(approx (+ ( z (cos y)) (sin y)) (+.f64 z y))) (if (<=.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 (sin.f64 y) x)) #s(literal 1 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))))
(if (<=.f64 y #s(literal -340000000000000026508001280 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 5404319552844595/1125899906842624 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -8800000000000000019124122676134674432 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 950 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -8800000000000000019124122676134674432 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 3800000000000000131856569729024 binary64)) (+.f64 #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)) x) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -8800000000000000019124122676134674432 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 3800000000000000131856569729024 binary64)) (+.f64 x #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -8800000000000000019124122676134674432 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 3800000000000000131856569729024 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
(if (<=.f64 z #s(literal -15500000000000000568738280260635751077721172948077017432411700400813003243520 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z))) (if (<=.f64 z #s(literal 1080863910568919/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 x y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 y z)))))
(if (<=.f64 z #s(literal -15500000000000000568738280260635751077721172948077017432411700400813003243520 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y))) (if (<=.f64 z #s(literal 1080863910568919/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* z (cos y)) (sin y)) (+.f64 z y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 x y)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x)))

soundness1.1s (13.5%)

Memory

-7.5MiB live, 748.6MiB allocated

Rules

13 312×	`lower-fma.f64`
13 312×	`lower-fma.f32`
11 712×	`lower-fma.f64`
11 712×	`lower-fma.f32`
5 162×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	3026
1	591	3008
2	1690	2920
3	6078	2908
0	8243	2587
0	8	21
0	13	21
1	43	21
2	362	21
3	5548	21
0	8320	20
0	109	647
1	310	643
2	852	633
3	2193	631
4	4247	631
5	7326	631
0	8046	578

Stop Event

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

Compiler

Compiled 582 to 254 computations (56.4% saved)

preprocess97.0ms (1.2%)

Memory: -1.2MiB live, 157.4MiB allocated
Compiler: Compiled 638 to 176 computations (72.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	24	144
0	37	140
1	63	140
2	102	140
3	181	140
4	206	140
5	220	140
6	227	140
0	227	140

Iter	Nodes	Cost
0	36	225
0	57	203
1	97	203
2	165	203
3	316	203
4	402	203
5	403	203
6	404	203
0	404	203

Iter	Nodes	Cost
0	24	144
0	37	140
1	63	140
2	102	140
3	181	140
4	206	140
5	220	140
6	227	140
0	227	140

Iter	Nodes	Cost
0	36	225
0	57	203
1	97	203
2	165	203
3	316	203
4	402	203
5	403	203
6	404	203
0	404	203

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (12.8%)

explain102.0ms (1.2%)

preprocess65.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize32.0ms (0.4%)

series12.0ms (0.1%)

simplify209.0ms (2.5%)

rewrite239.0ms (2.8%)

eval33.0ms (0.4%)

prune46.0ms (0.5%)

simplify16.0ms (0.2%)

localize86.0ms (1%)

series23.0ms (0.3%)

simplify315.0ms (3.7%)

rewrite410.0ms (4.9%)

eval184.0ms (2.2%)

prune182.0ms (2.2%)

simplify36.0ms (0.4%)

localize102.0ms (1.2%)

series54.0ms (0.6%)

simplify368.0ms (4.4%)

rewrite444.0ms (5.3%)

eval225.0ms (2.7%)

prune425.0ms (5.1%)

simplify205.0ms (2.4%)

localize214.0ms (2.5%)

series66.0ms (0.8%)

simplify504.0ms (6%)

rewrite323.0ms (3.8%)

eval192.0ms (2.3%)

prune244.0ms (2.9%)

regimes90.0ms (1.1%)

regimes105.0ms (1.3%)

regimes57.0ms (0.7%)

regimes42.0ms (0.5%)

regimes79.0ms (0.9%)

regimes66.0ms (0.8%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch31.0ms (0.4%)

bsearch39.0ms (0.5%)

bsearch43.0ms (0.5%)

bsearch1.0ms (0%)

bsearch44.0ms (0.5%)

bsearch36.0ms (0.4%)

bsearch22.0ms (0.3%)

bsearch1.0ms (0%)

bsearch44.0ms (0.5%)

simplify11.0ms (0.1%)

soundness1.1s (13.5%)

preprocess97.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	24	144
0	37	140
1	63	140
2	102	140
3	181	140
4	206	140
5	220	140
6	227	140
0	227	140

Iter	Nodes	Cost
0	36	225
0	57	203
1	97	203
2	165	203
3	316	203
4	402	203
5	403	203
6	404	203
0	404	203