Metrics for Diagrams.ThreeD.Transform:aboutY from diagrams-lib-1.3.0.3

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)

sample1.5s (12.5%)

Memory

-11.7MiB live, 1 334.7MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 780.0ms

ival-cos: 355.0ms (45.5% of total)

ival-sin: 218.0ms (27.9% of total)

ival-mult: 112.0ms (14.4% of total)

ival-add: 86.0ms (11% of total)

ival-true: 6.0ms (0.8% of total)

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

Bogosity

explain457.0ms (3.8%)

Memory

-2.9MiB live, 193.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

55.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-cos: 11.0ms (35.1% of total)

ival-sin: 11.0ms (35.1% of total)

ival-mult: 7.0ms (22.3% of total)

ival-add: 2.0ms (6.4% of total)

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

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

preprocess47.0ms (0.4%)

Memory

19.2MiB live, 56.0MiB allocated

Algorithm

1×	egg-herbie

Rules

162×	`associate-r`
160×	`unsub-neg`
146×	`associate-l`
132×	`distribute-lft-neg-in`
106×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	79	81
2	139	81
3	307	81
4	458	81
5	688	81
6	861	81
7	947	81
8	1025	81
9	1091	81
10	1105	81
11	1110	81
12	1112	81
0	8	9
0	13	9
1	16	9
0	16	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

8×	`lower-fma.f64`
8×	`lower-fma.f32`
8×	`lower-*.f32`
4×	`*-commutative`
4×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	16	24
0	16	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize358.0ms (3%)

Memory

-12.2MiB live, 72.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sin.f64 y)
accuracy	0.01953125	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.109375	(*.f64 z (sin.f64 y))
accuracy	0.125	(*.f64 x (cos.f64 y))

Samples

350.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 6.0ms (36.7% of total)

ival-sin: 6.0ms (36.7% of total)

ival-mult: 3.0ms (18.3% of total)

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

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

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

series10.0ms (0.1%)

Memory

-16.2MiB live, 22.1MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

simplify232.0ms (2%)

Memory

36.2MiB live, 423.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 652×	`lower-fma.f64`
11 652×	`lower-fma.f32`
4 396×	`lower-*.f64`
4 396×	`lower-*.f32`
2 464×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	682
1	343	678
2	987	666
3	2638	660
4	4676	660
5	7002	660
0	8182	604

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

Calls

Call 1

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

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

rewrite412.0ms (3.5%)

Memory

-14.9MiB live, 567.6MiB allocated

Rules

11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
4 168×	`lower-*.f32`
4 164×	`lower-*.f64`
4 068×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8386	20

Stop Event

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

Counts

5 → 177

Calls

Call 1

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

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

eval58.0ms (0.5%)

Memory: -18.2MiB live, 52.6MiB allocated
Compiler: Compiled 10 212 to 553 computations (94.6% saved)

prune93.0ms (0.8%)

Memory

-1.5MiB live, 87.4MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	265	17	282
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	266	17	283

Accuracy

99.9%

Counts

283 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.4%	(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
	66.4%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
▶	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	99.8%	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
	45.8%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (+.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))))))))
▶	46.7%	(/.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 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
	28.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))) (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (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 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal 3 binary64)))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
	78.0%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	48.3%	(.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 (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (/.f64 (fma.f64 x (cos.f64 y) (.f64 z (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)))) (.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
	27.0%	(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) #s(literal 2 binary64)))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))))
	46.6%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 x x) (+.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)))))))
▶	52.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	51.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x))
	51.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) z) x))
▶	42.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
	57.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

Compiler

Compiled 1 206 to 500 computations (58.5% saved)

simplify288.0ms (2.4%)

Memory

-4.0MiB live, 436.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	20480	(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
cost-diff	0	(/.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 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	6272	(-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
cost-diff	0	(fma.f64 z y x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))

Rules

19 886×	`lower-fma.f32`
19 880×	`lower-fma.f64`
3 606×	`lower-*.f32`
3 590×	`lower-*.f64`
2 110×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	382
0	62	370
1	127	370
2	312	369
3	967	369
4	2943	363
5	7175	363
0	8171	352

Stop Event

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

Calls

Call 1

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

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

localize306.0ms (2.6%)

Memory

5.5MiB live, 360.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	6.581184119218719	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
accuracy	15.110194052706568	(/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
accuracy	15.313691703515019	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	19.060814710850988	(/.f64 (.f64 x x) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
accuracy	1.7522788172590595	(-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
accuracy	6.468730003746458	(.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
accuracy	15.313691703515019	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	27.0053626108972	(/.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 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
accuracy	0.00390625	(sin.f64 y)
accuracy	0.109375	(*.f64 z (sin.f64 y))
accuracy	36.75731294994972	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
accuracy	0	(fma.f64 z y x)
accuracy	30.187763138163017	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(sin.f64 y)
accuracy	0.0625	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
accuracy	0.125	(*.f64 x (cos.f64 y))

Samples

87.0ms	79×	1	valid
49.0ms	46×	2	valid
46.0ms	131×	0	valid

Compiler

Compiled 377 to 34 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-cos: 37.0ms (26.5% of total)

ival-add: 34.0ms (24.3% of total)

ival-mult: 26.0ms (18.6% of total)

ival-sin: 14.0ms (10% of total)

adjust: 12.0ms (8.6% of total)

ival-div: 9.0ms (6.4% of total)

ival-sub: 7.0ms (5% of total)

ival-neg: 2.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series165.0ms (1.4%)

Memory

21.8MiB live, 58.8MiB allocated

Counts

18 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
87.0ms	x	@	inf	(/ (* z z) (- (* x (cos y)) (* z (sin y))))
6.0ms	x	@	inf	(* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y)))))
3.0ms	x	@	inf	(+ (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y)))))))
3.0ms	y	@	0	(/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y))))
2.0ms	z	@	inf	(+ (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y)))))))

simplify563.0ms (4.7%)

Memory

-8.3MiB live, 348.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 570×	`lower-*.f64`
6 570×	`lower-*.f32`
6 342×	`lower-fma.f64`
6 342×	`lower-fma.f32`
2 680×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1248	12501
1	4481	12297
0	8088	11767

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 504

Calls

Call 1

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

Outputs
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 (.f64 y z) #s(literal -1/6 binary64) (.f64 x #s(literal -1/2 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (neg.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (neg.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (neg.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))))
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(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)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64) (.f64 x #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 y y)) #s(literal -1/720 binary64))))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (.f64 y 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)
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 (.f64 y z) #s(literal -1/6 binary64) (.f64 x #s(literal -1/2 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (neg.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (neg.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (neg.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
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(* z (+ y (/ x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(* z (+ y (/ x z)))
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(* z (+ y (/ x z)))
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(* y z)
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(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 (-.f64 (neg.f64 y) (/.f64 x z)) (neg.f64 z))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 (-.f64 (neg.f64 y) (/.f64 x z)) (neg.f64 z))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
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(+ x (* y z))
(fma.f64 y z x)
(* y z)
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(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y (+ z (/ x y)))
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(* y z)
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(*.f64 (neg.f64 y) (-.f64 (neg.f64 z) (/.f64 x y)))
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(* y z)
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(+ x (* y z))
(fma.f64 y z x)
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(+ x (* y z))
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x
(* x (+ 1 (/ (* y z) x)))
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x
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(* z (sin y))
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(* x (- (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (* (pow x 2) (pow (cos y) 3)))) (* 1/2 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))))))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))))
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(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
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(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (+ (* 1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (* 1/2 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))))) x)) (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* 1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* 1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
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(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
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(* -1 (* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
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(* -1 (* z (- (+ (* -1 (/ (- (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
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(* -1 (* z (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
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(* -1 (* z (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
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(* -1 (/ (* (pow y 2) (pow z 2)) x))
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(* (pow y 2) (- (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x)))
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(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))
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(* (pow y 2) (- (* y (+ (* -1 (/ (pow z 3) (pow x 2))) (* y (- (+ (* -1 (/ (pow z 4) (pow x 3))) (+ (* -1/2 (/ (pow z 2) x)) (* y (+ (* -1 (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x)) (+ (* -1/2 (/ (pow z 3) (pow x 2))) (* 1/6 (/ (pow z 3) (pow x 2)))))))) (* -1/3 (/ (pow z 2) x)))))) (/ (pow z 2) x)))
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(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))
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(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))
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(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))
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(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (- (* x (cos y)) (* z (sin y)))))
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(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))
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(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))
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(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))
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(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (- (* x (cos y)) (* z (sin y)))))
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(* (pow z 2) (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* 1/2 (/ 1 (* x (cos y))))))
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(* (pow z 2) (- (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))) (* 1/2 (/ 1 (* x (cos y))))))
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(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (+ (* -1 (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))))) (* 1/2 (/ 1 (* x (cos y))))))
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(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (+ (* -1 (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))) (* z (+ (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3))))))))) (* 1/2 (/ 1 (* x (cos y))))))
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(* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
(* z (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))) (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2))))))
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(* z (- (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (* 1/2 (/ 1 (sin y)))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))))
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(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) z)) (/.f64 (.f64 (.f64 x (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(.f64 (neg.f64 z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))
(+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))))
(neg.f64 (fma.f64 x (/.f64 (.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (sin.f64 y))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* -1 (/ (* x (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3)))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))
(fma.f64 x (neg.f64 (fma.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (.f64 (neg.f64 z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (* -1 (/ (* x (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 4)))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))
(fma.f64 x (-.f64 (.f64 x (neg.f64 (fma.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) (/.f64 (.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (.f64 (neg.f64 z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (*.f64 x (cos.f64 y))))
(/ (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x)
(/.f64 (fma.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x)
(/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x)
(/.f64 (fma.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) x)
(/ (- (+ (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))))) x)
(/.f64 (-.f64 (fma.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) x)
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (*.f64 x (cos.f64 y))))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))) x))
(neg.f64 (neg.f64 (/.f64 (fma.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 (sin.f64 y) (.f64 z (.f64 z z))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x))) x))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (cos.f64 y)) (/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 z (.f64 z z)) (/.f64 (.f64 (sin.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) x)))) x))) x))

rewrite391.0ms (3.3%)

Memory

6.9MiB live, 674.2MiB allocated

Rules

6 876×	`lower-fma.f32`
6 870×	`lower-fma.f64`
4 574×	`lower-/.f32`
4 568×	`lower-/.f64`
3 460×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	256
0	62	190
1	252	152
2	2145	152
0	8174	152

Stop Event

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

Counts

18 → 793

Calls

Call 1

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

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

eval398.0ms (3.3%)

Memory: 10.3MiB live, 485.5MiB allocated
Compiler: Compiled 81 166 to 3 294 computations (95.9% saved)

prune277.0ms (2.3%)

Memory

12.4MiB live, 497.2MiB allocated

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	1 604	32	1 636
Fresh	11	1	12
Picked	2	3	5
Done	0	0	0
Total	1 617	36	1 653

Accuracy

100.0%

Counts

1 653 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.6%	(fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ ( x x) (- (* x (cos y)) (* z (sin y)))) (/.f64 x (cos.f64 y))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
	66.4%	(fma.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 x (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	78.0%	(fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
▶	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	46.8%	(/.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 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
	15.4%	(/.f64 #s(approx (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))))) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
	78.0%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
▶	28.5%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 (/.f64 (fma.f64 z z (.f64 x x)) x)) (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) x))) z) x))
	99.2%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
	27.6%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
▶	57.3%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	27.6%	#s(approx (+ (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))))
	51.8%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y z) x))
	51.9%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 y (fma.f64 (.f64 y z) #s(literal -1/6 binary64) (.f64 x #s(literal -1/2 binary64))) z) x))
	89.4%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
	92.7%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
	57.5%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 x (cos.f64 y)))
✓	52.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	19.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))) (.f64 x (.f64 x x))) (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (-.f64 x (.f64 y z))))))
	29.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (*.f64 y z))))
	32.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x)))
	29.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y z)) (-.f64 (.f64 x x) (.f64 y (.f64 z (*.f64 y z)))))))
▶	52.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
	52.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 y z) x))
	19.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (-.f64 x (*.f64 y z)))))))
	32.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
✓	42.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
	18.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
	18.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
	18.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (sin y) (.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
	47.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z (+.f64 y (/.f64 x z)))))
	44.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
▶	18.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
	47.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
	18.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) z z))))

Compiler

Compiled 1 349 to 724 computations (46.3% saved)

simplify316.0ms (2.7%)

Memory

2.0MiB live, 427.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
cost-diff	0	(.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
cost-diff	0	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
cost-diff	0	(fma.f64 y (-.f64 (neg.f64 (/.f64 (fma.f64 z z (.f64 x x)) x)) (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) x))) z)
cost-diff	0	(fma.f64 y (fma.f64 y (-.f64 (neg.f64 (/.f64 (fma.f64 z z (.f64 x x)) x)) (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) x))) z) x)
cost-diff	0	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 (/.f64 (fma.f64 z z (.f64 x x)) x)) (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) x))) z) x))
cost-diff	640	(-.f64 (neg.f64 (/.f64 (fma.f64 z z (.f64 x x)) x)) (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) x)))
cost-diff	0	(fma.f64 y z x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y z x))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
cost-diff	0	(*.f64 y z)
cost-diff	0	#s(approx (+ (* z y) x) (*.f64 y z))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) z)
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))

Rules

18 784×	`lower-fma.f32`
18 772×	`lower-fma.f64`
4 000×	`lower-*.f32`
3 986×	`lower-*.f64`
3 138×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	358
0	83	346
1	165	346
2	362	342
3	935	342
4	2898	338
5	7612	338
0	8097	332

Stop Event

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

Calls

Call 1

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

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

localize293.0ms (2.5%)

Memory

-16.6MiB live, 317.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
accuracy	0.18359375	(/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
accuracy	0.39035412133382286	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy	27.121413893787576	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
accuracy	7.636117486436061	(/.f64 (*.f64 z z) x)
accuracy	16.913398771464795	(/.f64 (fma.f64 z z (*.f64 x x)) x)
accuracy	30.468690030849423	(-.f64 (neg.f64 (/.f64 (fma.f64 z z (.f64 x x)) x)) (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) x)))
accuracy	30.864685722537345	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (fma.f64 y (fma.f64 y (-.f64 (neg.f64 (/.f64 (fma.f64 z z (.f64 x x)) x)) (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 z z) x))) z) x))
accuracy	0	(fma.f64 y z x)
accuracy	0.2109375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
accuracy	0.5816889315496944	(/.f64 #s(literal 1 binary64) (fma.f64 y z x))
accuracy	30.187763138163017	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
accuracy	0	(*.f64 y z)
accuracy	29.01565133683281	#s(approx (+ (* z y) x) (*.f64 y z))
accuracy	30.187763138163017	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(sin.f64 y)
accuracy	0.07421875	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
accuracy	0.109375	(*.f64 (sin.f64 y) z)

Samples

147.0ms	119×	1	valid
75.0ms	132×	0	valid
6.0ms	5×	2	valid

Compiler

Compiled 314 to 52 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-cos: 78.0ms (39.1% of total)

ival-add: 43.0ms (21.6% of total)

ival-mult: 32.0ms (16.1% of total)

ival-div: 15.0ms (7.5% of total)

adjust: 13.0ms (6.5% of total)

ival-sub: 8.0ms (4% of total)

ival-sin: 8.0ms (4% of total)

ival-neg: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series49.0ms (0.4%)

Memory

-9.5MiB live, 69.7MiB allocated

Counts

21 → 600

Calls

Call 1

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

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

Calls

150 calls:

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

simplify331.0ms (2.8%)

Memory

38.8MiB live, 309.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 600×	`lower-fma.f64`
7 600×	`lower-fma.f32`
6 574×	`lower-*.f64`
6 574×	`lower-*.f32`
2 800×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	673	8406
1	2279	8074
2	7859	8050
0	8329	7459

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 572

Calls

Call 1

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

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

rewrite370.0ms (3.1%)

Memory

-0.6MiB live, 473.0MiB allocated

Rules

6 520×	`lower-*.f32`
6 506×	`lower-*.f64`
4 858×	`lower-fma.f32`
4 846×	`lower-fma.f64`
3 416×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	299
0	83	287
1	375	233
2	2903	233
0	9324	229

Stop Event

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

Counts

21 → 507

Calls

Call 1

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

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

eval263.0ms (2.2%)

Memory: -17.2MiB live, 346.2MiB allocated
Compiler: Compiled 34 600 to 2 449 computations (92.9% saved)

prune291.0ms (2.4%)

Memory

28.9MiB live, 555.5MiB allocated

Pruning

46 alts after pruning (40 fresh and 6 done)

	Pruned	Kept	Total
New	1 071	21	1 092
Fresh	9	19	28
Picked	2	3	5
Done	0	3	3
Total	1 082	46	1 128

Accuracy

100.0%

Counts

1 128 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	78.0%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z))
	46.8%	(/.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 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
	15.4%	(/.f64 #s(approx (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))))) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
	51.8%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (fma.f64 y (fma.f64 y #s(approx (- (neg (/ (+ (* z z) (* x x)) x)) (- (* x -1/2) (/ (* z z) x))) (*.f64 x #s(literal -1/2 binary64))) z) x))
	35.7%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (fma.f64 y #s(approx (+ (* y (- (neg (/ (+ (* z z) (* x x)) x)) (- (* x -1/2) (/ (* z z) x)))) z) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x))
▶	99.2%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
	23.7%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (/.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (cos.f64 y)))
	27.6%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
✓	57.3%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	27.3%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
	57.3%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) x))
	35.9%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) #s(approx (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)))
	35.7%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) #s(approx (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) x)))
	19.6%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) #s(approx (+ (* y (+ (* y (- (neg (/ (+ (* z z) (* x x)) x)) (- (* x -1/2) (/ (* z z) x)))) z)) x) (.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 (/.f64 x (neg.f64 y)) z) y)))))
	11.8%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) #s(approx (+ (* y (+ (* y (- (neg (/ (+ (* z z) (* x x)) x)) (- (* x -1/2) (/ (* z z) x)))) z)) x) (.f64 y (.f64 y (fma.f64 x #s(literal -1/2 binary64) (/.f64 z y))))))
	2.9%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) #s(approx (+ (* y (+ (* y (- (neg (/ (+ (* z z) (* x x)) x)) (- (* x -1/2) (/ (* z z) x)))) z)) x) (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
	27.6%	#s(approx (+ (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* x x) (- (* x (cos y)) (* z (sin y))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (cos y)) (* z (sin y))))))) (.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))))
	89.4%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
▶	92.7%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
	57.5%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 x (cos.f64 y)))
	51.9%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) x))
✓	52.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	19.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))) (.f64 x (.f64 x x))) (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (-.f64 x (.f64 y z))))))
	29.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (*.f64 y z))))
	32.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x)))
	19.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 y z)) (.f64 y (.f64 z (.f64 y z))))))))
	44.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y z) x) (*.f64 y (+.f64 z (/.f64 x y)))))))
	18.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y z) x) (*.f64 y z)))))
	31.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (-.f64 (.f64 y z) x))))
	13.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y z) x)) (/.f64 (-.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 y (.f64 z z))))) (/.f64 #s(literal 1 binary64) y)) (/.f64 x (.f64 y (.f64 y z)))) z))))
	36.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y z) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) x))))
▶	37.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) x))))
▶	52.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 y z) x))
	19.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (-.f64 x (*.f64 y z)))))))
▶	32.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
✓	42.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
	18.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
	18.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
	18.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (sin y) (.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
	47.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* y z) x))) (*.f64 z (+.f64 y (/.f64 x z)))))
	44.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* y z) x))) (*.f64 y (+.f64 z (/.f64 x y)))))
✓	18.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
	47.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 x (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
	18.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) z z))))

Compiler

Compiled 1 618 to 884 computations (45.4% saved)

simplify266.0ms (2.2%)

Memory

3.8MiB live, 483.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (sin.f64 y) x)
cost-diff	0	(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
cost-diff	0	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
cost-diff	704	(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
cost-diff	0	(fma.f64 y z x)
cost-diff	0	(.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
cost-diff	2368	(.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) x))))
cost-diff	0	(*.f64 y z)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 y z) x))
cost-diff	128	(+.f64 (*.f64 y z) x)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
cost-diff	0	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
cost-diff	13888	(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))

Rules

12 586×	`lower-fma.f32`
12 578×	`lower-fma.f64`
4 434×	`lower-*.f32`
4 420×	`lower-*.f64`
2 428×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	366
0	86	337
1	163	337
2	382	319
3	1019	319
4	3263	316
5	7697	316
0	8615	307

Stop Event

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

Calls

Call 1

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

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

localize279.0ms (2.3%)

Memory

-14.7MiB live, 329.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sin.f64 y)
accuracy	0.08984375	(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy	0.12109375	(/.f64 (sin.f64 y) x)
accuracy	4.619107057896759	(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
accuracy	0.08822250976844202	(.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))
accuracy	0.5816889315496944	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))
accuracy	30.187763138163017	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
accuracy	30.732755352245245	(.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.2109375	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) x)))
accuracy	30.187763138163017	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) x))))
accuracy	34.3325155867581	#s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) x))
accuracy	0	(*.f64 y z)
accuracy	0.015625	(+.f64 (*.f64 y z) x)
accuracy	30.187763138163017	#s(approx (+ (* x (cos y)) (* z (sin y))) (+.f64 (*.f64 y z) x))
accuracy	0.185878759768442	(/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
accuracy	0.2578125	(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
accuracy	0.2584762695368841	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	0.39035412133382286	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))

Samples

145.0ms	58×	1	valid
81.0ms	198×	0	valid

Compiler

Compiled 297 to 51 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-div: 52.0ms (26.5% of total)

ival-cos: 52.0ms (26.5% of total)

ival-sub: 36.0ms (18.3% of total)

ival-mult: 31.0ms (15.8% of total)

ival-add: 11.0ms (5.6% of total)

ival-sin: 6.0ms (3.1% of total)

adjust: 5.0ms (2.5% of total)

ival-pow2: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series257.0ms (2.2%)

Memory

-8.0MiB live, 111.3MiB allocated

Counts

23 → 672

Calls

Call 1

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

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

Calls

168 calls:

Time	Variable		Point	Expression
14.0ms	y	@	0	(/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))
4.0ms	y	@	inf	(+ (* x (cos y)) (* z (sin y)))
1.0ms	y	@	inf	(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
1.0ms	z	@	0	(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
1.0ms	y	@	-inf	(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))

simplify281.0ms (2.4%)

Memory

37.9MiB live, 384.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 844×	`lower-fma.f64`
7 844×	`lower-fma.f32`
6 682×	`lower-*.f64`
6 682×	`lower-*.f32`
3 478×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	845	8821
1	2884	8497
0	8435	7944

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 648

Calls

Call 1

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

Outputs
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (pow (cos y) 2))))))
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(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(* y z)
(*.f64 z y)
(* y (+ z (* (pow y 2) (- (* -7/6 z) (* -1 z)))))
(.f64 y (fma.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 61/120 binary64)) (fma.f64 z #s(literal 1/3 binary64) (.f64 z #s(literal 1/6 binary64)))) (.f64 z #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (- (+ (* -7/6 z) (* (pow y 2) (- (+ (* 61/120 z) (* (pow y 2) (- (* -547/5040 z) (+ (* -1 (- (* 61/120 z) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z)))) (+ (* -2/45 z) (* 1/3 (- (* -7/6 z) (* -1 z)))))))) (+ (* -1 (- (* -7/6 z) (* -1 z))) (* 1/3 z))))) (* -1 z)))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -547/5040 binary64)) (-.f64 (fma.f64 z #s(literal -2/45 binary64) (.f64 z #s(literal -1/18 binary64))) (-.f64 (.f64 z #s(literal 61/120 binary64)) (fma.f64 z #s(literal 1/3 binary64) (.f64 z #s(literal 1/6 binary64)))))) (-.f64 (.f64 z #s(literal 61/120 binary64)) (fma.f64 z #s(literal 1/3 binary64) (.f64 z #s(literal 1/6 binary64))))) (*.f64 z #s(literal -1/6 binary64))) z))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal -1 binary64) x))
(- (* y (- (* -1 (/ (* y (pow z 2)) (pow x 3))) (/ z (pow x 2)))) (/ 1 x))
(fma.f64 y (neg.f64 (fma.f64 y (/.f64 (.f64 z z) (.f64 x (.f64 x x))) (/.f64 z (.f64 x x)))) (/.f64 #s(literal -1 binary64) x))
(- (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow x 4))) (/ (pow z 2) (pow x 3)))) (/ z (pow x 2)))) (/ 1 x))
(fma.f64 y (fma.f64 y (neg.f64 (fma.f64 y (/.f64 (.f64 z (.f64 z z)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 z z) (.f64 x (.f64 x x))))) (/.f64 z (.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) x))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/ (+ (/ 1 z) (/ x (* y (pow z 2)))) y)
(/.f64 (+.f64 (/.f64 x (.f64 z (.f64 z y))) (/.f64 #s(literal 1 binary64) z)) y)
(/ (- (+ (/ 1 z) (/ (pow x 2) (* (pow y 2) (pow z 3)))) (* -1 (/ x (* y (pow z 2))))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (/.f64 (.f64 x x) (.f64 y (.f64 z (.f64 z (.f64 z y))))) (/.f64 x (.f64 z (*.f64 z y))))) y)
(/ (- (+ (/ 1 z) (/ (pow x 3) (* (pow y 3) (pow z 4)))) (+ (* -1 (/ x (* y (pow z 2)))) (* -1 (/ (pow x 2) (* (pow y 2) (pow z 3)))))) y)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y y) (.f64 y (pow.f64 z #s(literal 4 binary64)))))) (-.f64 (neg.f64 (/.f64 x (.f64 z (.f64 z y)))) (/.f64 (.f64 x x) (.f64 y (.f64 z (.f64 z (.f64 z y))))))) y)
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (/ (- (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y))
(/.f64 (+.f64 (neg.f64 (/.f64 x (.f64 z (.f64 z y)))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 3))) (* -1 (/ x (pow z 2)))) y)) (/ 1 z)) y))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (.f64 z (.f64 z (.f64 z y)))) (/.f64 x (*.f64 z z))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow z 4)))) (/ (pow x 2) (pow z 3))) y)) (* -1 (/ x (pow z 2)))) y)) (/ 1 z)) y))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 y (pow.f64 z #s(literal 4 binary64)))) (/.f64 (.f64 x x) (.f64 z (.f64 z z)))) (neg.f64 y)) (/.f64 x (*.f64 z z))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal -1 binary64) x))
(- (* z (- (* -1 (/ (* (pow y 2) z) (pow x 3))) (/ y (pow x 2)))) (/ 1 x))
(fma.f64 z (neg.f64 (fma.f64 y (.f64 y (/.f64 z (.f64 x (.f64 x x)))) (/.f64 y (.f64 x x)))) (/.f64 #s(literal -1 binary64) x))
(- (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow x 4))) (/ (pow y 2) (pow x 3)))) (/ y (pow x 2)))) (/ 1 x))
(fma.f64 z (fma.f64 z (neg.f64 (fma.f64 (.f64 y y) (.f64 y (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 y y) (.f64 x (.f64 x x))))) (/.f64 y (.f64 x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) x))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/ (+ (/ 1 y) (/ x (* (pow y 2) z))) z)
(/.f64 (+.f64 (/.f64 x (.f64 z (.f64 y y))) (/.f64 #s(literal 1 binary64) y)) z)
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 2)))) (* -1 (/ x (* (pow y 2) z)))) z)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 (.f64 x x) (.f64 (.f64 z z) (.f64 y (.f64 y y)))) (/.f64 x (.f64 z (*.f64 y y))))) z)
(/ (- (+ (/ 1 y) (/ (pow x 3) (* (pow y 4) (pow z 3)))) (+ (* -1 (/ x (* (pow y 2) z))) (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))))) z)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 z z) (.f64 z (pow.f64 y #s(literal 4 binary64))))) (-.f64 (neg.f64 (/.f64 x (.f64 z (.f64 y y)))) (/.f64 (.f64 x x) (.f64 (.f64 z z) (.f64 y (.f64 y y))))))) z)
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(* -1 (/ (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 x (.f64 z (.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) z))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* (pow y 3) z)) (* -1 (/ x (pow y 2)))) z)) (/ 1 y)) z))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) (.f64 z (.f64 y (.f64 y y)))) (/.f64 x (*.f64 y y))) (neg.f64 z)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) (* (pow y 4) z))) (/ (pow x 2) (pow y 3))) z)) (* -1 (/ x (pow y 2)))) z)) (/ 1 y)) z))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (.f64 x (.f64 x x))) (.f64 z (pow.f64 y #s(literal 4 binary64)))) (/.f64 (.f64 x x) (.f64 y (.f64 y y)))) (neg.f64 z)) (/.f64 x (*.f64 y y))) (neg.f64 z)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 z))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(+ (/ 1 (* y z)) (/ x (* (pow y 2) (pow z 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) (/.f64 x (.f64 z (.f64 z (.f64 y y)))))
(+ (* x (+ (/ 1 (* (pow y 2) (pow z 2))) (/ x (* (pow y 3) (pow z 3))))) (/ 1 (* y z)))
(+.f64 (/.f64 x (.f64 z (.f64 z (.f64 y y)))) (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 z (.f64 z (.f64 z y)))))) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(+ (* x (+ (* x (+ (/ 1 (* (pow y 3) (pow z 3))) (/ x (* (pow y 4) (pow z 4))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z)))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) (fma.f64 x (fma.f64 x (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 x (.f64 y (.f64 y (.f64 z (.f64 z (.f64 z y))))))) (/.f64 x (.f64 z (.f64 z (.f64 y y))))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 (/ (* y z) x)) 1) x)
(/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) x)
(/ (- (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ 1 (/ (* y z) x))) x)
(/.f64 (neg.f64 (fma.f64 y (/.f64 z x) (fma.f64 (.f64 y y) (/.f64 (.f64 z z) (*.f64 x x)) #s(literal 1 binary64)))) x)
(/ (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ 1 (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x)
(/.f64 (neg.f64 (fma.f64 y (.f64 (.f64 y y) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))) (fma.f64 y (/.f64 z x) (fma.f64 (.f64 y y) (/.f64 (.f64 z z) (*.f64 x x)) #s(literal 1 binary64))))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ (* y z) x)) x))
(/.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 2)) x)) (* y z)) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (.f64 y (/.f64 (.f64 z z) x)) (*.f64 z y))) x)) (neg.f64 x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 3)) x) (* -1 (* (pow y 2) (pow z 2)))) x)) (* y z)) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 z (.f64 z z)) x) (.f64 z (.f64 z (.f64 y y)))) (neg.f64 x)) (.f64 z y)) x)) (neg.f64 x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (.f64 y y) (.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) 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)

rewrite379.0ms (3.2%)

Memory

-11.9MiB live, 447.8MiB allocated

Rules

5 486×	`lower-*.f32`
5 472×	`lower-*.f64`
3 914×	`lower-fma.f32`
3 906×	`lower-fma.f64`
3 636×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	311
0	86	283
1	348	256
2	2751	256
0	8738	251

Stop Event

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

Counts

23 → 536

Calls

Call 1

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

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

eval230.0ms (1.9%)

Memory: -9.3MiB live, 256.1MiB allocated
Compiler: Compiled 33 892 to 2 220 computations (93.4% saved)

prune313.0ms (2.6%)

Memory

21.6MiB live, 658.2MiB allocated

Pruning

52 alts after pruning (44 fresh and 8 done)

	Pruned	Kept	Total
New	1 259	20	1 279
Fresh	11	24	35
Picked	3	2	5
Done	0	6	6
Total	1 273	52	1 325

Accuracy

100.0%

Counts

1 325 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	78.0%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z))
	46.8%	(/.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 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
	99.4%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 z (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))))
	51.8%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (fma.f64 y (fma.f64 y #s(approx (- (neg (/ (+ (* z z) (* x x)) x)) (- (* x -1/2) (/ (* z z) x))) (*.f64 x #s(literal -1/2 binary64))) z) x))
	23.7%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (/.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (cos.f64 y)))
	27.6%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (/.f64 (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
✓	57.3%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	27.3%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
	57.3%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) x))
	27.6%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) (.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (sin.f64 y))))
	35.9%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) #s(approx (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/24 binary64) (.f64 x #s(literal 1/4 binary64)))) (*.f64 x #s(literal -1/2 binary64))) x)))
	35.7%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) #s(approx (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) x)))
	19.6%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) #s(approx (+ (* y (+ (* y (- (neg (/ (+ (* z z) (* x x)) x)) (- (* x -1/2) (/ (* z z) x)))) z)) x) (.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 (/.f64 x (neg.f64 y)) z) y)))))
	11.8%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) #s(approx (+ (* y (+ (* y (- (neg (/ (+ (* z z) (* x x)) x)) (- (* x -1/2) (/ (* z z) x)))) z)) x) (.f64 y (.f64 y (fma.f64 x #s(literal -1/2 binary64) (/.f64 z y))))))
	2.9%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) #s(approx (+ (* y (+ (* y (- (neg (/ (+ (* z z) (* x x)) x)) (- (* x -1/2) (/ (* z z) x)))) z)) x) (.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))))
	51.9%	#s(approx (/ (- (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (sin y)) (* x (cos y)))) #s(approx (+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) y) (.f64 x #s(literal -1/2 binary64))) z) x)))
	86.1%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 (/.f64 (sin.f64 y) x) (.f64 z x) (.f64 x (cos.f64 y))))
	57.5%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (cos.f64 y) x))
	89.4%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
	88.6%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))))
✓	92.7%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
	92.7%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 x (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y))))
	47.0%	#s(approx (+ (* (sin y) z) (* x (cos y))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
	35.5%	#s(approx (+ (* (sin y) z) (* x (cos y))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
	37.8%	#s(approx (+ (* (sin y) z) (* x (cos y))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
✓	52.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	19.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))) (.f64 x (.f64 x x))) (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (-.f64 x (.f64 y z))))))
	19.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y z) y) z) (-.f64 (.f64 y z) x)) (.f64 (-.f64 (.f64 y z) x) (.f64 x x))) (.f64 (-.f64 (.f64 y z) x) (-.f64 (*.f64 y z) x))))
	31.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 y z) y) z)) (-.f64 x (*.f64 y z))))
	19.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 y z)) (.f64 y (.f64 z (.f64 y z))))))))
	44.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y z) x) (*.f64 y (+.f64 z (/.f64 x y)))))))
	18.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y z) x) (*.f64 y z)))))
	31.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (-.f64 (.f64 y z) x))))
	13.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y z) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 z (.f64 y y)))) z))))
	36.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y z) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) x))))
✓	37.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y z) x)) (/.f64 #s(literal 1 binary64) x))))
	19.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 (.f64 y z) (.f64 (.f64 (.f64 y z) y) z)) (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 y z x) (.f64 (.f64 (*.f64 y z) y) z))))
	29.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (fma.f64 y z x))))
	7.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (/ 1 (- ( y z) x)) (/.f64 (+.f64 (/.f64 x (.f64 z (.f64 y y))) (/.f64 #s(literal 1 binary64) y)) z))))
	11.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (/ 1 (- ( y z) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))))
	22.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (/ 1 (- ( y z) x)) (/.f64 #s(literal -1 binary64) x))))
	32.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
	22.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
✓	42.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
	18.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
	18.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
	18.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (sin y) (.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))))
	44.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* y z) x))) (*.f64 y (+.f64 z (/.f64 x y)))))
✓	18.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
	18.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) z z))))

Compiler

Compiled 2 813 to 849 computations (69.8% saved)

regimes123.0ms (1%)

Memory

-18.6MiB live, 288.0MiB allocated

Counts

91 → 1

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	z
30.0ms	x
29.0ms	y
25.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes82.0ms (0.7%)

Memory

15.3MiB live, 168.1MiB allocated

Counts

62 → 1

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	y
19.0ms	z
18.0ms	x
17.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes127.0ms (1.1%)

Memory

-15.7MiB live, 152.5MiB allocated

Counts

60 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

43.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
31.0ms	x
31.0ms	y
16.0ms	z

Results

Accuracy	Segments	Branch
86.8%	3	`x`
84.9%	4	`y`
87.1%	3	`z`
78.0%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes20.0ms (0.2%)

Memory

9.7MiB live, 46.9MiB allocated

Counts

57 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
87.0%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes80.0ms (0.7%)

Memory

31.8MiB live, 179.9MiB allocated

Counts

56 → 6

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	x
18.0ms	z
17.0ms	y
16.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
61.0%	3	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
84.1%	6	`y`
74.3%	3	`x`
80.1%	4	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes56.0ms (0.5%)

Memory

-30.2MiB live, 91.0MiB allocated

Counts

53 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

22.0ms	z
16.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
67.7%	3	`x`
69.8%	3	`z`
73.8%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes60.0ms (0.5%)

Memory

36.1MiB live, 113.9MiB allocated

Counts

52 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.8%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
52.8%	1	`x`
52.8%	1	`z`
52.8%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory

-20.8MiB live, 21.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
45.1%	3	`z`
37.8%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
37.8%	1	`y`
42.6%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0%)

Memory

13.1MiB live, 13.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
18.4%	1	`y`
18.4%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
18.4%	1	`x`
18.4%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch28.0ms (0.2%)

Memory

-26.6MiB live, 51.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	529207811.6402085	5999058584440.29
9.0ms	-9.163280059060592e-27	-5.3951237310243246e-27

Samples

18.0ms

192×

valid

Compiler

Compiled 267 to 182 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-cos: 5.0ms (37.9% of total)

ival-sin: 4.0ms (30.3% of total)

ival-mult: 3.0ms (22.7% of total)

ival-add: 1.0ms (7.6% of total)

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

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

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	529207811.6402085	5999058584440.29
0.0ms	-9.163280059060592e-27	-5.3951237310243246e-27

Compiler

Compiled 267 to 182 computations (31.8% saved)

bsearch88.0ms (0.7%)

Memory

7.7MiB live, 143.6MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	2.694063993078634e+245	1.5433640535419933e+247
23.0ms	5.852033962628426e+86	8.816617161816984e+88
9.0ms	5.740226510200034e-5	0.0005601324711536484
11.0ms	-0.1106933055515089	-0.0009156571932688285
22.0ms	-1.7579531796524792e+233	-4.164761153193378e+227

Samples

62.0ms

576×

valid

Compiler

Compiled 728 to 472 computations (35.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-cos: 15.0ms (37.6% of total)

ival-sin: 14.0ms (35.1% of total)

ival-mult: 8.0ms (20.1% of total)

ival-add: 2.0ms (5% of total)

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

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

bsearch29.0ms (0.2%)

Memory

6.8MiB live, 45.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1260726.634049003	3092016.8585455026
16.0ms	-252345010879.4485	-21874961662.622513

Samples

21.0ms

176×

valid

Compiler

Compiled 323 to 201 computations (37.8% saved)

Precisions

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

ival-sin: 7.0ms (43.2% of total)

ival-cos: 6.0ms (37% of total)

ival-mult: 2.0ms (12.3% of total)

ival-add: 1.0ms (6.2% of total)

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

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

bsearch46.0ms (0.4%)

Memory

-10.7MiB live, 69.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.7247021165910308e+159	1.0830468666745272e+170
21.0ms	-9.110720946913775e+74	-4.282586549745501e+68

Samples

32.0ms

304×

valid

Compiler

Compiled 357 to 223 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-cos: 10.0ms (40.2% of total)

ival-sin: 6.0ms (24.1% of total)

ival-add: 4.0ms (16.1% of total)

ival-mult: 4.0ms (16.1% of total)

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

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

simplify11.0ms (0.1%)

Memory

-15.6MiB live, 22.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	371
1	94	371

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -8223399791958167/1393796574908163946345982392040522594123776 binary64)) (fma.f64 (sin.f64 y) z (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 860000000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (.f64 x #s(approx (cos y) #s(literal 1 binary64))))))
(if (<=.f64 z #s(literal -8223399791958167/1393796574908163946345982392040522594123776 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 860000000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 (sin.f64 y) z))))
(if (<=.f64 y #s(literal -5400000000000000332976391159377322891496205391068624341705501268512301612481368417482171687784179869681599686847599340414895208046255162615733737632036429619249821368409071676861821889670734691816808954831071072597152289802682368 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 5072854620270127/9223372036854775808 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y x) z) x)) (if (<=.f64 y #s(literal 1850000000000000013263293483167387532425067802995560954763212011923350163539575751835648 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 309999999999999988270666612662371092063385063898839846665327388955183002456046127899812510421156446380624238909563531238321940073625581064419675352076954050176073261266947345129528538085130669507532495570059546118074838040670618894076668331163648 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))))))))
(if (<=.f64 y #s(literal -22000000000 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1300000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal -649999999999999962294220541331468522417985167011920392484488883999690719232 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 y z))) (if (<=.f64 z #s(literal 15999999999999998391838295229335758835735334395848646725391221421688325714000708521860601125548209934345257362843277942259667159585025075143972236377713624920717524992 binary64)) #s(approx (+ ( (sin y) z) (* x (cos y))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))

Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -8223399791958167/1393796574908163946345982392040522594123776 binary64)) (fma.f64 (sin.f64 y) z (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 860000000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (.f64 x #s(approx (cos y) #s(literal 1 binary64))))))
(if (<=.f64 z #s(literal -8223399791958167/1393796574908163946345982392040522594123776 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 860000000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 (sin.f64 y) z))))
(if (<=.f64 y #s(literal -5400000000000000332976391159377322891496205391068624341705501268512301612481368417482171687784179869681599686847599340414895208046255162615733737632036429619249821368409071676861821889670734691816808954831071072597152289802682368 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 5072854620270127/9223372036854775808 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y x) z) x)) (if (<=.f64 y #s(literal 1850000000000000013263293483167387532425067802995560954763212011923350163539575751835648 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 309999999999999988270666612662371092063385063898839846665327388955183002456046127899812510421156446380624238909563531238321940073625581064419675352076954050176073261266947345129528538085130669507532495570059546118074838040670618894076668331163648 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))))))))
(if (<=.f64 y #s(literal -5400000000000000332976391159377322891496205391068624341705501268512301612481368417482171687784179869681599686847599340414895208046255162615733737632036429619249821368409071676861821889670734691816808954831071072597152289802682368 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 5072854620270127/9223372036854775808 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y x) z) x)) (if (<=.f64 y #s(literal 1850000000000000013263293483167387532425067802995560954763212011923350163539575751835648 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 309999999999999988270666612662371092063385063898839846665327388955183002456046127899812510421156446380624238909563531238321940073625581064419675352076954050176073261266947345129528538085130669507532495570059546118074838040670618894076668331163648 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)))))))
(if (<=.f64 y #s(literal -22000000000 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1300000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -22000000000 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1300000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal -1/6 binary64))) z) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal -649999999999999962294220541331468522417985167011920392484488883999690719232 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 y z))) (if (<=.f64 z #s(literal 15999999999999998391838295229335758835735334395848646725391221421688325714000708521860601125548209934345257362843277942259667159585025075143972236377713624920717524992 binary64)) #s(approx (+ ( (sin y) z) (* x (cos y))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))

soundness1.6s (13.2%)

Memory

9.5MiB live, 937.2MiB allocated

Rules

11 652×	`lower-fma.f64`
11 652×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
7 844×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8386	20
0	109	682
1	343	678
2	987	666
3	2638	660
4	4676	660
5	7002	660
0	8182	604
0	845	8821
1	2884	8497
0	8435	7944
0	1248	12501
1	4481	12297
0	8088	11767
0	673	8406
1	2279	8074
2	7859	8050
0	8329	7459
0	35	256
0	62	190
1	252	152
2	2145	152
0	8174	152

Stop Event

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

Compiler

Compiled 456 to 202 computations (55.7% saved)

preprocess103.0ms (0.9%)

Memory: 16.0MiB live, 130.4MiB allocated
Compiler: Compiled 420 to 134 computations (68.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (12.5%)

explain457.0ms (3.8%)

preprocess47.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize358.0ms (3%)

series10.0ms (0.1%)

simplify232.0ms (2%)

rewrite412.0ms (3.5%)

eval58.0ms (0.5%)

prune93.0ms (0.8%)

simplify288.0ms (2.4%)

localize306.0ms (2.6%)

series165.0ms (1.4%)

simplify563.0ms (4.7%)

rewrite391.0ms (3.3%)

eval398.0ms (3.3%)

prune277.0ms (2.3%)

simplify316.0ms (2.7%)

localize293.0ms (2.5%)

series49.0ms (0.4%)

simplify331.0ms (2.8%)

rewrite370.0ms (3.1%)

eval263.0ms (2.2%)

prune291.0ms (2.4%)

simplify266.0ms (2.2%)

localize279.0ms (2.3%)

series257.0ms (2.2%)

simplify281.0ms (2.4%)

rewrite379.0ms (3.2%)

eval230.0ms (1.9%)

prune313.0ms (2.6%)

regimes123.0ms (1%)

regimes82.0ms (0.7%)

regimes127.0ms (1.1%)

regimes20.0ms (0.2%)

regimes80.0ms (0.7%)

regimes56.0ms (0.5%)

regimes60.0ms (0.5%)

regimes8.0ms (0.1%)

regimes6.0ms (0%)

bsearch28.0ms (0.2%)

bsearch1.0ms (0%)

bsearch88.0ms (0.7%)

bsearch29.0ms (0.2%)

bsearch46.0ms (0.4%)

simplify11.0ms (0.1%)

soundness1.6s (13.2%)

preprocess103.0ms (0.9%)

end0.0ms (0%)

Profiling