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

0.5MiB live, 0.5MiB 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)

sample1.6s (16.4%)

Memory

14.8MiB live, 1 392.8MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 808.0ms

ival-mult: 250.0ms (31% of total)

ival-sin: 219.0ms (27.1% of total)

ival-cos: 192.0ms (23.8% of total)

ival-add: 137.0ms (17% of total)

ival-true: 7.0ms (0.9% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain158.0ms (1.6%)

Memory

-5.7MiB live, 233.9MiB 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

92.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

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

ival-sin: 12.0ms (37.1% of total)

ival-cos: 10.0ms (31% of total)

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

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

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

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

preprocess45.0ms (0.5%)

Memory

0.2MiB live, 52.6MiB 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 (sin.f64 y) z (*.f64 (cos.f64 y) x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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

4.9MiB live, 4.9MiB 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 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)

localize40.0ms (0.4%)

Memory

14.9MiB live, 53.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.0078125	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.109375	(*.f64 x (cos.f64 y))
accuracy	0.1171875	(*.f64 z (sin.f64 y))

Samples

24.0ms

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 (38.5% of total)

ival-sin: 5.0ms (32.1% of total)

ival-mult: 3.0ms (19.3% of total)

ival-add: 1.0ms (6.4% of total)

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

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

series34.0ms (0.3%)

Memory

-13.4MiB live, 24.7MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	z	@	-inf	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	z	@	0	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	z	@	inf	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	y	@	inf	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	x	@	0	((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))

simplify818.0ms (8.3%)

Memory

-1.1MiB live, 276.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 080×	`lower-fma.f64`
14 080×	`lower-fma.f32`
3 812×	`lower-*.f64`
3 812×	`lower-*.f32`
2 968×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	620
1	295	616
2	891	610
3	2076	604
4	3745	604
5	6377	604
0	8794	554

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite190.0ms (1.9%)

Memory

26.2MiB live, 219.1MiB 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	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8386	18

Stop Event

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

Counts

4 → 176

Calls

Call 1

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

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

eval58.0ms (0.6%)

Memory: 8.8MiB live, 45.4MiB allocated
Compiler: Compiled 10 060 to 547 computations (94.6% saved)

prune119.0ms (1.2%)

Memory

-7.0MiB live, 76.4MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	256	14	270
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	257	14	271

Accuracy

99.9%

Counts

271 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.7%	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))
▶	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	67.7%	(fma.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))
▶	44.7%	(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
	42.8%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
	74.6%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
▶	53.8%	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)) (*.f64 z (sin.f64 y)))
	44.7%	(.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))))
	51.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	51.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
▶	52.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	39.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
▶	62.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 664 to 348 computations (47.6% saved)

simplify282.0ms (2.9%)

Memory

-0.3MiB live, 161.6MiB 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	(.f64 (neg.f64 (.f64 x x)) (+.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	6464	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)
cost-diff	0	#s(approx (* x (cos y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x))
cost-diff	128	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)) (*.f64 z (sin.f64 y)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
cost-diff	0	(fma.f64 z y x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
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

16 320×	`lower-fma.f32`
16 308×	`lower-fma.f64`
4 248×	`lower-*.f32`
4 230×	`lower-*.f64`
2 386×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	312
0	70	310
1	135	310
2	318	307
3	912	307
4	2512	305
5	4641	305
0	8185	296

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

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

localize338.0ms (3.4%)

Memory

-22.0MiB live, 326.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	1.304673738027801	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
accuracy	4.126191826397165	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z)
accuracy	15.564141523920235	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	27.681300575514005	(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
accuracy	0.1171875	(*.f64 z (sin.f64 y))
accuracy	0.2363512296985698	(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)
accuracy	9.861048253010118	(.f64 (.f64 y y) x)
accuracy	31.13488461869307	#s(approx (* x (cos y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x))
accuracy	0	(cos.f64 y)
accuracy	0.109375	(*.f64 (cos.f64 y) x)
accuracy	23.873885792994077	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
accuracy	0	(fma.f64 z y x)
accuracy	30.44593575327068	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.0625	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
accuracy	0.1171875	(*.f64 (sin.f64 y) z)

Samples

210.0ms	86×	1	valid
52.0ms	130×	0	valid
41.0ms	40×	2	valid

Compiler

Compiled 276 to 40 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 271.0ms

ival-sub: 83.0ms (30.7% of total)

const: 82.0ms (30.3% of total)

ival-cos: 35.0ms (12.9% of total)

ival-mult: 31.0ms (11.5% of total)

ival-add: 16.0ms (5.9% of total)

adjust: 12.0ms (4.4% of total)

ival-sin: 5.0ms (1.8% of total)

ival-div: 3.0ms (1.1% of total)

ival-neg: 2.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series90.0ms (0.9%)

Memory

26.6MiB live, 156.2MiB allocated

Counts

19 → 492

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (+ (* (* (* y y) x) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2)) x) (* (* y y) x) (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- 1/2 (* 1/2 (cos (+ y y)))) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))) (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y)) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) z))
6.0ms	y	@	inf	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (+ (* (* (* y y) x) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2)) x) (* (* y y) x) (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- 1/2 (* 1/2 (cos (+ y y)))) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))) (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y)) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) z))
5.0ms	z	@	0	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (+ (* (* (* y y) x) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2)) x) (* (* y y) x) (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- 1/2 (* 1/2 (cos (+ y y)))) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))) (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y)) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) z))
5.0ms	x	@	inf	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (+ (* (* (* y y) x) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2)) x) (* (* y y) x) (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- 1/2 (* 1/2 (cos (+ y y)))) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))) (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y)) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) z))
4.0ms	x	@	-inf	((+ (* (cos y) x) (* (sin y) z)) (cos y) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (+ (* (* (* y y) x) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2)) x) (* (* y y) x) (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- 1/2 (* 1/2 (cos (+ y y)))) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))) (+ 1/2 (* 1/2 (cos (+ y y)))) (* z (sin y)) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) z))

simplify203.0ms (2.1%)

Memory

9.4MiB live, 240.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 822×	`lower-fma.f64`
9 822×	`lower-fma.f32`
7 626×	`lower-*.f64`
7 626×	`lower-*.f32`
2 334×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	489	6358
1	1705	6191
2	6197	6156
0	8471	5617

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 479

Calls

Call 1

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

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

rewrite234.0ms (2.4%)

Memory

8.6MiB live, 278.5MiB allocated

Rules

6 520×	`lower-fma.f32`
6 508×	`lower-fma.f64`
4 782×	`lower-*.f32`
4 764×	`lower-*.f64`
4 060×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	229
0	70	200
1	287	170
2	2073	170
0	8429	169

Stop Event

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

Counts

19 → 556

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

Outputs
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eval231.0ms (2.3%)

Memory: -31.4MiB live, 297.4MiB allocated
Compiler: Compiled 42 701 to 2 136 computations (95% saved)

prune153.0ms (1.5%)

Memory

7.6MiB live, 248.5MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	1 108	28	1 136
Fresh	9	0	9
Picked	2	3	5
Done	0	0	0
Total	1 119	31	1 150

Accuracy

100.0%

Counts

1 150 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	74.6%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z))
	33.8%	(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z #s(approx (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
	54.2%	(/.f64 (fma.f64 (.f64 (.f64 z (sin.f64 y)) z) (sin.f64 y) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
	13.3%	(/.f64 #s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (.f64 z z))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
	50.9%	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)) (.f64 z #s(approx (sin y) (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
	51.4%	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)) #s(approx (* z (sin y)) (*.f64 z y)))
	25.3%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (fma.f64 z z (.f64 x x)) x)) y z) y x))
▶	99.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))))
	50.4%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
	92.3%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) z (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))) x))
	62.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	23.7%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
	51.4%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	51.5%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
	92.7%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
▶	88.8%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	39.2%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (sin.f64 y) z))
✓	52.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	29.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 z y) z) y)) (-.f64 x (*.f64 z y))))
	32.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (-.f64 (*.f64 z y) x)))
▶	32.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
✓	62.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
▶	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
	38.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	45.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x z) y) z)))
	40.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
▶	18.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 1 157 to 624 computations (46.1% saved)

simplify181.0ms (1.8%)

Memory

-17.3MiB live, 185.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (cos.f64 y) z)
cost-diff	0	(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
cost-diff	0	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
cost-diff	704	(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
cost-diff	0	(fma.f64 z y x)
cost-diff	0	(.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
cost-diff	2368	(.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (* z y) x) (*.f64 z y))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
cost-diff	0	(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))))
cost-diff	128	(*.f64 #s(literal 2 binary64) y)
cost-diff	13760	(fma.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))

Rules

14 120×	`lower-fma.f32`
14 108×	`lower-fma.f64`
4 438×	`lower-*.f32`
4 420×	`lower-*.f64`
2 150×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	400
0	94	413
1	173	362
2	382	356
3	1162	356
4	3818	349
5	7938	349
0	8693	340

Stop Event

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

Calls

Call 1

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

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

localize258.0ms (2.6%)

Memory

15.1MiB live, 316.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
accuracy	0.11328125	(/.f64 (cos.f64 y) z)
accuracy	0.13671875	(fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))
accuracy	7.138852983488397	(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)
accuracy	0.13119125976844204	(.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x))
accuracy	0.29099956580133257	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x))
accuracy	30.44593575327068	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
accuracy	30.711817233363366	(.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)))
accuracy	0.0859375	(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
accuracy	0.109375	(.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
accuracy	23.873885792994077	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
accuracy	31.276108968953178	#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	0	(*.f64 z y)
accuracy	30.24876617060482	#s(approx (+ (* z y) x) (*.f64 z y))
accuracy	30.44593575327068	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy	0.16796875	(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
accuracy	0.20541000976844204	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	0.34272516425291405	(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.38227364561499927	(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))

Samples

122.0ms	67×	1	valid
90.0ms	189×	0	valid

Compiler

Compiled 303 to 57 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-mult: 44.0ms (23.6% of total)

ival-pow2: 38.0ms (20.4% of total)

ival-div: 25.0ms (13.4% of total)

ival-cos: 25.0ms (13.4% of total)

ival-sin: 22.0ms (11.8% of total)

ival-add: 14.0ms (7.5% of total)

adjust: 7.0ms (3.8% of total)

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

const: 4.0ms (2.1% of total)

ival-neg: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series124.0ms (1.3%)

Memory

5.3MiB live, 127.8MiB allocated

Counts

24 → 648

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	x	@	inf	((+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (* 2 y) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (* (* (+ (* z y) x) (- (* z y) x)) (/ 1 (- (* z y) x))) (+ (* x (cos y)) (* z (sin y))) (* (+ (* z y) x) (- (* z y) x)) (+ (* z y) x) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))) (+ (* (cos (* 2 y)) 1/2) 1/2) (pow (cos y) 2) (+ (* 1/24 (* y y)) -1/2) (/ 1 (- (* z y) x)))
10.0ms	y	@	0	((+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (* 2 y) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (* (* (+ (* z y) x) (- (* z y) x)) (/ 1 (- (* z y) x))) (+ (* x (cos y)) (* z (sin y))) (* (+ (* z y) x) (- (* z y) x)) (+ (* z y) x) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))) (+ (* (cos (* 2 y)) 1/2) 1/2) (pow (cos y) 2) (+ (* 1/24 (* y y)) -1/2) (/ 1 (- (* z y) x)))
7.0ms	y	@	-inf	((+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (* 2 y) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (* (* (+ (* z y) x) (- (* z y) x)) (/ 1 (- (* z y) x))) (+ (* x (cos y)) (* z (sin y))) (* (+ (* z y) x) (- (* z y) x)) (+ (* z y) x) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))) (+ (* (cos (* 2 y)) 1/2) 1/2) (pow (cos y) 2) (+ (* 1/24 (* y y)) -1/2) (/ 1 (- (* z y) x)))
7.0ms	y	@	inf	((+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (* 2 y) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (* (* (+ (* z y) x) (- (* z y) x)) (/ 1 (- (* z y) x))) (+ (* x (cos y)) (* z (sin y))) (* (+ (* z y) x) (- (* z y) x)) (+ (* z y) x) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))) (+ (* (cos (* 2 y)) 1/2) 1/2) (pow (cos y) 2) (+ (* 1/24 (* y y)) -1/2) (/ 1 (- (* z y) x)))
4.0ms	z	@	0	((+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (* 2 y) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (* (* (+ (* z y) x) (- (* z y) x)) (/ 1 (- (* z y) x))) (+ (* x (cos y)) (* z (sin y))) (* (+ (* z y) x) (- (* z y) x)) (+ (* z y) x) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (/ (cos y) z) x) (sin y)) (/ (cos y) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y))) (+ (* (cos (* 2 y)) 1/2) 1/2) (pow (cos y) 2) (+ (* 1/24 (* y y)) -1/2) (/ 1 (- (* z y) x)))

simplify215.0ms (2.2%)

Memory

-0.9MiB live, 279.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 144×	`lower-fma.f64`
8 144×	`lower-fma.f32`
6 890×	`lower-*.f64`
6 890×	`lower-*.f32`
3 138×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	729	8241
1	2439	7881
0	8278	7338

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 626

Calls

Call 1

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

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

rewrite352.0ms (3.6%)

Memory

13.4MiB live, 408.7MiB allocated

Rules

6 206×	`lower-*.f32`
6 188×	`lower-*.f64`
5 242×	`lower-fma.f32`
5 230×	`lower-fma.f64`
2 958×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	347
0	94	357
1	372	262
2	2851	231
0	8633	226

Stop Event

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

Counts

24 → 953

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) x))))
(.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 z (/.f64 (tan.f64 y) (cos.f64 y)) (/.f64 x (cos.f64 y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (cos.f64 y)) (.f64 z (/.f64 (tan.f64 y) (cos.f64 y)))))
(pow.f64 (/.f64 (fma.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 y)) x)) (-.f64 (pow.f64 (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64)))) (pow.f64 (.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) 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 #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 y)) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) x)))
(/.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (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 y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 x (cos.f64 y))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (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 y)) #s(literal 1/2 binary64)) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (/.f64 x (cos.f64 y))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 y y))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 x (cos.f64 y))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (/.f64 x (cos.f64 y))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (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 (fma.f64 (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (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 y)) #s(literal 1/2 binary64)) (.f64 (/.f64 x (cos.f64 y)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (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 y)) #s(literal 1/2 binary64)) (.f64 (/.f64 x (cos.f64 y)) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 y y))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (/.f64 x (cos.f64 y)) (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (/.f64 x (cos.f64 y)) (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (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 (fma.f64 (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) 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 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) x)))
(/.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (neg.f64 (cos.f64 y)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) (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 y)) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 y))))
(/.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (neg.f64 (cos.f64 y)) (.f64 (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 y)) #s(literal 1/2 binary64)) (neg.f64 x)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 y))))
(/.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (neg.f64 (cos.f64 y)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (.f64 x (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 y)) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 y))))
(/.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (.f64 (neg.f64 (cos.f64 y)) (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 y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (.f64 (neg.f64 (cos.f64 y)) (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 y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (cos.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) z) (.f64 (neg.f64 (cos.f64 y)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 y y)))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) (fma.f64 (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (cos.f64 y)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (+.f64 y y))))))))
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(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64))))))
(/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/4 binary64)) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (*.f64 y y) #s(literal -1/48 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64)))) (fma.f64 (.f64 #s(literal 1/13824 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) #s(literal -1/8 binary64))))
(fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 y (*.f64 #s(literal 1/24 binary64) y) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (.f64 z y) x) (fma.f64 z y x)) (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z y) z) y (.f64 x (-.f64 x (*.f64 z y))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (*.f64 z y) x) (fma.f64 z y x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (*.f64 z y) x) (fma.f64 z y x))) (fma.f64 z y x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z y) z) y (*.f64 x (fma.f64 z y x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 z y) z) y (*.f64 x (fma.f64 z y x))))
(.f64 (pow.f64 (-.f64 (.f64 z y) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (*.f64 z y) x) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 z y) x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)))
(pow.f64 (exp.f64 (log.f64 (-.f64 (*.f64 z y) x))) #s(literal -1 binary64))
(pow.f64 (.f64 (-.f64 (.f64 z y) x) (-.f64 (*.f64 z y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 z y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 z y) x))) #s(literal -1 binary64))
(pow.f64 (-.f64 (*.f64 z y) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (*.f64 z y) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (*.f64 z y) x))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z y) x)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 z y) x)) #s(literal -1 binary64)))

eval356.0ms (3.6%)

Memory: 40.6MiB live, 421.0MiB allocated
Compiler: Compiled 71 475 to 3 655 computations (94.9% saved)

prune499.0ms (5.1%)

Memory

-41.0MiB live, 657.6MiB allocated

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	1 694	21	1 715
Fresh	11	12	23
Picked	3	2	5
Done	0	3	3
Total	1 708	38	1 746

Accuracy

100.0%

Counts

1 746 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	74.6%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z))
	33.8%	(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z #s(approx (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
	13.3%	(/.f64 #s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (.f64 z z))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
	51.4%	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)) #s(approx (* z (sin y)) (*.f64 z y)))
	25.3%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (fma.f64 z z (.f64 x x)) x)) y z) y x))
	62.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	23.7%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
▶	51.4%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)))
	51.5%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y x)))
	62.3%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (.f64 (fma.f64 (/.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) (cos.f64 y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) x)))
	39.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (.f64 (.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)))
▶	92.7%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
✓	88.8%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	89.4%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
▶	88.8%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
	67.9%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) x (sin.f64 y)) z))
	39.2%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (sin.f64 y) z))
▶	44.3%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z))) z))
	31.7%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (/.f64 x z)) z))
✓	52.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	51.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (-.f64 (.f64 z y) x) (.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)))))
	14.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) #s(approx (/ 1 (- ( z y) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))))
	32.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) (.f64 (-.f64 (.f64 z y) x) (fma.f64 z y x))) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
✓	62.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	13.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (- (* z y) x)) (.f64 (fma.f64 z z (/.f64 (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) (neg.f64 y))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x))))
	11.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (- (* z y) x)) (.f64 (.f64 (.f64 y y) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
	20.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (- (* z y) x)) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	35.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/4 binary64)) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 y y) #s(literal 1 binary64))) x))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
	35.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 #s(approx (+ ( 1/24 (* y y)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
▶	38.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x))
	40.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
	49.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) (neg.f64 x))))
✓	18.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 1 301 to 712 computations (45.3% saved)

simplify157.0ms (1.6%)

Memory

26.8MiB live, 217.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
cost-diff	0	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
cost-diff	704	(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)
cost-diff	0	#s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)))
cost-diff	0	(.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z))) z)
cost-diff	0	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z))) z))
cost-diff	64	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
cost-diff	0	#s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
cost-diff	0	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)))
cost-diff	0	#s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x))
cost-diff	0	(/.f64 (sin.f64 y) x)
cost-diff	0	(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
cost-diff	0	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
cost-diff	704	(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)

Rules

15 266×	`lower-fma.f32`
15 250×	`lower-fma.f64`
5 320×	`lower-*.f32`
5 306×	`lower-*.f64`
1 764×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	498
0	106	495
1	201	476
2	423	476
3	1202	476
4	3111	466
5	5429	466
0	8134	444

Stop Event

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

Calls

Call 1

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

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

localize308.0ms (3.1%)

Memory

-24.0MiB live, 449.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
accuracy	0.09765625	(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
accuracy	7.138852983488397	(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z)
accuracy	2.8613456931845818	(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) y #s(literal 1 binary64))
accuracy	4.007795986641646	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z))
accuracy	7.138852983488397	(.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z))) z)
accuracy	29.62925357975434	#s(approx (+ (* (/ (cos y) z) x) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) y #s(literal 1 binary64)) y (/.f64 x z)))
accuracy	0.03515625	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
accuracy	0.16796875	(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
accuracy	31.135646728645046	#s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
accuracy	0.109375	(.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x)
accuracy	23.873885792994077	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x))
accuracy	31.10040749066619	#s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))
accuracy	31.276108968953178	#s(approx (cos y) #s(approx (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64)))
accuracy	0	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x))
accuracy	0.08984375	(/.f64 (sin.f64 y) x)
accuracy	0.10546875	(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
accuracy	4.614790759701578	(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)

Samples

126.0ms	189×	0	valid
120.0ms	67×	1	valid

Compiler

Compiled 313 to 75 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-mult: 106.0ms (48.3% of total)

ival-cos: 45.0ms (20.5% of total)

ival-add: 23.0ms (10.5% of total)

ival-div: 14.0ms (6.4% of total)

adjust: 9.0ms (4.1% of total)

const: 8.0ms (3.6% of total)

ival-sin: 6.0ms (2.7% of total)

ival-sub: 3.0ms (1.4% of total)

ival-pow2: 3.0ms (1.4% of total)

ival-neg: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series113.0ms (1.1%)

Memory

28.4MiB live, 148.1MiB allocated

Counts

22 → 696

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	x	@	-inf	((* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (cos y) x) (* (sin y) z)) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 (/ x z))) y) 1) y) (/ x z)) (+ (* (cos y) x) (* (sin y) z)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (/ (cos y) z) x) (sin y)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (* (+ (* -1/6 y) (* -1/2 (/ x z))) y) 1))
14.0ms	y	@	inf	((* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (cos y) x) (* (sin y) z)) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 (/ x z))) y) 1) y) (/ x z)) (+ (* (cos y) x) (* (sin y) z)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (/ (cos y) z) x) (sin y)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (* (+ (* -1/6 y) (* -1/2 (/ x z))) y) 1))
7.0ms	y	@	-inf	((* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (cos y) x) (* (sin y) z)) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 (/ x z))) y) 1) y) (/ x z)) (+ (* (cos y) x) (* (sin y) z)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (/ (cos y) z) x) (sin y)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (* (+ (* -1/6 y) (* -1/2 (/ x z))) y) 1))
5.0ms	x	@	inf	((* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (cos y) x) (* (sin y) z)) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 (/ x z))) y) 1) y) (/ x z)) (+ (* (cos y) x) (* (sin y) z)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (/ (cos y) z) x) (sin y)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (* (+ (* -1/6 y) (* -1/2 (/ x z))) y) 1))
4.0ms	x	@	0	((* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (cos y) x) (* (sin y) z)) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 (/ x z))) y) 1) y) (/ x z)) (+ (* (cos y) x) (* (sin y) z)) (* (+ (* (/ (cos y) z) x) (sin y)) z) (+ (* (/ (cos y) z) x) (sin y)) (* (+ (* (cos y) (/ x z)) (sin y)) z) (+ (* (cos y) x) (* (sin y) z)) (+ (* (cos y) (/ x z)) (sin y)) (cos y) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (* (+ (* -1/6 y) (* -1/2 (/ x z))) y) 1))

simplify277.0ms (2.8%)

Memory

-29.4MiB live, 220.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 602×	`lower-fma.f64`
8 602×	`lower-fma.f32`
6 958×	`lower-*.f64`
6 958×	`lower-*.f32`
3 698×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	622	9397
1	2142	9099
2	7653	9099
0	8223	8296

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 684

Calls

Call 1

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

rewrite270.0ms (2.7%)

Memory

36.9MiB live, 345.4MiB allocated

Rules

8 262×	`lower-*.f32`
8 248×	`lower-*.f64`
7 232×	`lower-fma.f32`
7 216×	`lower-fma.f64`
3 954×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	448
0	106	445
1	478	392
2	3779	376
0	11431	361

Stop Event

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

Counts

22 → 281

Calls

Call 1

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

Outputs
(*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x)
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) x) (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (.f64 (sin.f64 y) z) x)) (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x x))))
(/.f64 (.f64 x (-.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))))
(/.f64 (.f64 x (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (.f64 (sin.f64 y) z) x)) (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x x))))
(fma.f64 (.f64 (/.f64 x (cos.f64 y)) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (.f64 (/.f64 (*.f64 (sin.f64 y) z) x) x))
(fma.f64 (.f64 (/.f64 x (cos.f64 y)) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (.f64 x (/.f64 (*.f64 (sin.f64 y) z) x)))
(fma.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (.f64 (/.f64 (*.f64 (sin.f64 y) z) x) x))
(fma.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)) (.f64 x (/.f64 (*.f64 (sin.f64 y) z) x)))
(fma.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 x (cos.f64 y))) (.f64 (/.f64 (*.f64 (sin.f64 y) z) x) x))
(fma.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 x (cos.f64 y))) (.f64 x (/.f64 (*.f64 (sin.f64 y) z) x)))
(fma.f64 (/.f64 (.f64 (sin.f64 y) z) x) x (.f64 (cos.f64 y) x))
(fma.f64 (/.f64 x (cos.f64 y)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 (.f64 (sin.f64 y) z) x) x))
(fma.f64 (/.f64 x (cos.f64 y)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x (/.f64 (.f64 (sin.f64 y) z) x)))
(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (.f64 (/.f64 (.f64 (sin.f64 y) z) x) x))
(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)) (.f64 x (/.f64 (.f64 (sin.f64 y) z) x)))
(fma.f64 (cos.f64 y) x (.f64 (/.f64 (.f64 (sin.f64 y) z) x) x))
(fma.f64 (cos.f64 y) x (.f64 x (/.f64 (.f64 (sin.f64 y) z) x)))
(fma.f64 x (/.f64 (.f64 (sin.f64 y) z) x) (.f64 (cos.f64 y) x))
(fma.f64 x (cos.f64 y) (.f64 (/.f64 (.f64 (sin.f64 y) z) x) x))
(fma.f64 x (cos.f64 y) (.f64 x (/.f64 (.f64 (sin.f64 y) z) x)))
(+.f64 (.f64 (/.f64 (.f64 (sin.f64 y) z) x) x) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 x (/.f64 (.f64 (sin.f64 y) z) x)) (*.f64 (cos.f64 y) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 (/.f64 (*.f64 (sin.f64 y) z) x) x))
(+.f64 (.f64 (cos.f64 y) x) (.f64 x (/.f64 (*.f64 (sin.f64 y) z) x)))
#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
(.f64 (-.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y)))))
(.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (.f64 (sin.f64 y) z) x)) (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x x)))))
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (-.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (.f64 (sin.f64 y) z) x)) (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x x))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x x))) (-.f64 (cos.f64 y) (/.f64 (.f64 (sin.f64 y) z) x)))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (.f64 (sin.f64 y) z) x)) (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x x)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x x)) (.f64 (/.f64 (.f64 (sin.f64 y) z) x) (cos.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (.f64 (sin.f64 y) z) x)) (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y))) (-.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (.f64 (sin.f64 y) z) x)) (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x x))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 y) z) x))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (/.f64 (*.f64 (sin.f64 y) z) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sin.f64 y) z) x))
(fma.f64 (*.f64 (sin.f64 y) z) (/.f64 #s(literal 1 binary64) x) (cos.f64 y))
(fma.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) z) (cos.f64 y))
(fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))
(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x x)) (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y)))) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (sin.f64 y) (/.f64 z x) (neg.f64 (cos.f64 y)))))
(+.f64 (/.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y))
(+.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) z) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (/.f64 x (sin.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) x)
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(-.f64 (/.f64 (.f64 (/.f64 (.f64 x x) (*.f64 z z)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))) (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))))
(+.f64 (*.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y))
(+.f64 (sin.f64 y) (*.f64 (/.f64 (cos.f64 y) z) x))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))
(cos.f64 y)
(exp.f64 (-.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 2 binary64)) (log.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cos.f64 y)))
(.f64 (-.f64 (.f64 (.f64 z z) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/6 binary64) z) y (*.f64 #s(literal 1/2 binary64) x))))
(.f64 (fma.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 z z) z)) (.f64 (.f64 y y) y) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z y) (.f64 z y)) #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (*.f64 z y) #s(literal -1/6 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) z) y (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 (.f64 z z) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 z y) (.f64 z y)) #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (.f64 z y) #s(literal -1/6 binary64))))) (fma.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 z z) z)) (.f64 (.f64 y y) y) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) x)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 z z) (.f64 #s(literal 1/36 binary64) (.f64 y y)))) (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (*.f64 z y) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 z z) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) z) y (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 z z) z)) (.f64 (.f64 y y) y) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (.f64 (.f64 z y) (.f64 z y)) #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (.f64 z y) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 z z) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal -1/6 binary64) z) y (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (fma.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 z z) z)) (.f64 (.f64 y y) y) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (.f64 (.f64 z z) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (.f64 (.f64 (.f64 (*.f64 z y) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) x))))
(/.f64 (fma.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 z z) z)) (.f64 (.f64 y y) y) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 z y) (.f64 z y)) #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (.f64 z y) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) z) y (.f64 #s(literal 1/2 binary64) x)) (-.f64 (.f64 (.f64 z z) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 z y) (.f64 z y)) #s(literal 1/36 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (.f64 z y) #s(literal -1/6 binary64))))) (fma.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 z z) z)) (.f64 (.f64 y y) y) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) x)))))
(fma.f64 (.f64 #s(literal -1/6 binary64) z) y (.f64 #s(literal -1/2 binary64) x))
(fma.f64 (.f64 #s(literal -1/6 binary64) y) z (.f64 #s(literal -1/2 binary64) x))
(fma.f64 (.f64 z y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 z y) #s(literal -1/6 binary64)))
(fma.f64 z (.f64 #s(literal -1/6 binary64) y) (.f64 #s(literal -1/2 binary64) x))
(fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64)))
(fma.f64 y (.f64 #s(literal -1/6 binary64) z) (.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 (.f64 (.f64 z z) (.f64 #s(literal 1/36 binary64) (.f64 y y))) (fma.f64 (.f64 #s(literal -1/6 binary64) z) y (.f64 #s(literal 1/2 binary64) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (fma.f64 (.f64 #s(literal -1/6 binary64) z) y (.f64 #s(literal 1/2 binary64) x))))
(+.f64 (.f64 (.f64 z y) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (*.f64 z y) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) y) (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) y) (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y)))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) (.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) y) (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) y) (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) y) (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) y)))
(/.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) y) (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) y) (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) y)))))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) y #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) y) (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) y) (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) y) (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) y) (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) (.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) y) (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) y) (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64)))) (.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) (.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))
(fma.f64 y (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) y) (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64)))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) y #s(literal -1 binary64))))
(+.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 (/.f64 x z) #s(literal -1/2 binary64))) y))

eval235.0ms (2.4%)

Memory: 6.9MiB live, 318.3MiB allocated
Compiler: Compiled 23 770 to 1 435 computations (94% saved)

prune269.0ms (2.7%)

Memory

27.9MiB live, 515.9MiB allocated

Pruning

51 alts after pruning (44 fresh and 7 done)

	Pruned	Kept	Total
New	967	20	987
Fresh	4	24	28
Picked	3	2	5
Done	0	5	5
Total	974	51	1 025

Accuracy

100.0%

Counts

1 025 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
	74.6%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (sin.f64 y) z))
	13.3%	(/.f64 #s(approx (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (.f64 z z))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
	51.4%	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) x)) #s(approx (* z (sin y)) (*.f64 z y)))
	25.3%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 z z) x)) (/.f64 (fma.f64 z z (.f64 x x)) x)) y z) y x))
	62.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 (cos.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	23.7%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
	51.7%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 (.f64 #s(literal -1/6 binary64) y) z)) y z) y x)))
	37.8%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) (.f64 (fma.f64 (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) x)) y z) (fma.f64 (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z))))) y x)))
	51.4%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 (+.f64 (.f64 (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)))
	44.7%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (fma.f64 (.f64 z (/.f64 (*.f64 y y) x)) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x))) x)) y x)))
	36.4%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal -1/6 binary64))) y x)))
	36.3%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x)))
	39.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) (.f64 (.f64 (fma.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)))
	2.6%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) z)) y) (.f64 y y)))))
	17.8%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y))))
	2.9%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ (sin y) (pow (cos y) 2))) z) (* (+ (* (cos (* 2 y)) 1/2) 1/2) (/ x (cos y)))) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (.f64 (.f64 (.f64 z y) y) #s(literal -1/6 binary64)) y))))
	53.2%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (/.f64 (.f64 (sin.f64 y) z) x)) (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 x x)))))
	78.8%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (pow.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x))
	67.5%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z #s(approx (cos y) #s(literal 1 binary64))) x))
✓	88.8%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z))
	92.7%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 y)) z (cos.f64 y)) x))
	89.4%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y)) x))
✓	88.8%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
	39.2%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (*.f64 (sin.f64 y) z))
	46.0%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 z x) y #s(literal 1 binary64))) x))
	32.2%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (sin y) x) z) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
	29.6%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 (/ x z))) y) 1) (.f64 (/.f64 (.f64 y x) z) #s(literal -1/2 binary64))) y (/.f64 x z))) z))
	18.6%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 (/ x z))) y) 1) (.f64 (.f64 (fma.f64 (/.f64 x (*.f64 z y)) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) y) y)) y (/.f64 x z))) z))
	29.9%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 (/ x z))) y) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y))) y (/.f64 x z))) z))
	31.7%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) (/.f64 x z)) z))
	17.8%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 (/ x z))) y) 1) y) (/ x z)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y))) z))
	2.3%	#s(approx (+ (* (cos y) x) (* (sin y) z)) (.f64 #s(approx (+ ( (/ (cos y) z) x) (sin y)) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 (/ x z))) y) 1) y) (/ x z)) (.f64 (.f64 (fma.f64 (/.f64 x (.f64 z y)) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) y) (.f64 y y)))) z))
✓	52.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	51.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (-.f64 (.f64 z y) x) (.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)))))
	14.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) #s(approx (/ 1 (- ( z y) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))))
	32.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x)) (.f64 (-.f64 (.f64 z y) x) (fma.f64 z y x))) (-.f64 (.f64 z y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
✓	62.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	13.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (- (* z y) x)) (.f64 (fma.f64 z z (/.f64 (fma.f64 x (/.f64 x y) #s(literal 0 binary64)) (neg.f64 y))) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z y) x))))
	11.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (- (* z y) x)) (.f64 (.f64 (.f64 y y) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
	20.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (- (* z y) x)) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) x))))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	35.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal -1/4 binary64)) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (.f64 y y) #s(literal 1 binary64))) x))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
	35.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 #s(approx (+ ( 1/24 (* y y)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x))
✓	38.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(approx (+ ( (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) #s(literal 1 binary64))) x))
	40.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (+.f64 (/.f64 x y) z) y)))
	49.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (neg.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64))) (neg.f64 x))))
✓	18.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	36.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 2 433 to 790 computations (67.5% saved)

regimes139.0ms (1.4%)

Memory

-19.0MiB live, 235.6MiB allocated

Counts

84 → 1

Calls

Call 1

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

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

Calls

4 calls:

49.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
31.0ms	z
30.0ms	x
24.0ms	y

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes78.0ms (0.8%)

Memory

19.0MiB live, 168.5MiB allocated

Counts

58 → 3

Calls

Call 1

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

Outputs

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

(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 (cos.f64 y) x))

Calls

4 calls:

22.0ms	y
18.0ms	z
17.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
17.0ms	x

Results

Accuracy	Segments	Branch
86.7%	3	`x`
81.4%	4	`y`
85.0%	3	`z`
76.5%	2	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes265.0ms (2.7%)

Memory

-103.0MiB live, 188.2MiB allocated

Counts

52 → 4

Calls

Call 1

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

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

Calls

4 calls:

194.0ms	y
33.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
17.0ms	x
16.0ms	z

Results

Accuracy	Segments	Branch
66.8%	3	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
79.6%	4	`y`
77.2%	3	`z`
77.5%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes49.0ms (0.5%)

Memory

13.0MiB live, 90.8MiB allocated

Counts

50 → 3

Calls

Call 1

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

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

Calls

1 calls:

44.0ms

Results

Accuracy	Segments	Branch
77.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes125.0ms (1.3%)

Memory

14.0MiB live, 241.0MiB allocated

Counts

49 → 1

Calls

Call 1

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

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

Calls

4 calls:

40.0ms	x
35.0ms	y
26.0ms	z
19.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
52.4%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
52.4%	1	`z`
52.4%	1	`x`
52.4%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory

-15.9MiB live, 23.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

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
43.2%	2	`z`
38.3%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
44.5%	3	`x`
42.3%	3	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
18.2%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
18.2%	1	`y`
18.2%	1	`x`
18.2%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch34.0ms (0.3%)

Memory

-11.1MiB live, 69.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	9.210041825384167e+116	3.364617261229206e+121
16.0ms	-2.8372542453596347e+25	-1.4383156055187664e+23

Samples

23.0ms

240×

valid

Compiler

Compiled 330 to 224 computations (32.1% saved)

Precisions

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

ival-cos: 7.0ms (41.8% of total)

ival-sin: 5.0ms (29.9% of total)

ival-mult: 3.0ms (17.9% of total)

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

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

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

bsearch47.0ms (0.5%)

Memory

1.2MiB live, 79.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	8.770202759645477e-20	2.0016447544424086e-9
15.0ms	-1.351146258842585e-5	-1.0572931525699704e-16
13.0ms	-3.8055848715329543e+230	-1.7505826070537582e+230

Samples

30.0ms

400×

valid

Compiler

Compiled 465 to 294 computations (36.8% saved)

Precisions

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

ival-sin: 7.0ms (35.3% of total)

ival-cos: 6.0ms (30.3% of total)

ival-mult: 5.0ms (25.2% of total)

ival-add: 2.0ms (10.1% of total)

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

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

bsearch2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.770202759645477e-20	2.0016447544424086e-9
1.0ms	-1.351146258842585e-5	-1.0572931525699704e-16

Compiler

Compiled 375 to 234 computations (37.6% saved)

bsearch16.0ms (0.2%)

Memory

-3.9MiB live, 38.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-6.250416294132738e+25	-1.4696045424471256e+24

Samples

11.0ms

112×

valid

Compiler

Compiled 141 to 91 computations (35.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 3.0ms (42.7% of total)

ival-sin: 2.0ms (28.4% of total)

ival-add: 1.0ms (14.2% of total)

ival-mult: 1.0ms (14.2% of total)

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

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

simplify7.0ms (0.1%)

Memory

-21.1MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	244
1	52	244

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(if (<=.f64 x #s(literal -10499999999999999555403776 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800 binary64)) (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 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -380000000000000007671525530042951490817617506576277693365931989666292612064506224391406290843455243210661899492542348012232838766610804031758300377407415517221739144937877146224432870028434877745892802087735722279853720674345418752 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 z y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 z y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal -47999999999999999194693632 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

Outputs
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -10499999999999999555403776 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800 binary64)) (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 (cos.f64 y) x))))
(if (<=.f64 x #s(literal -10499999999999999555403776 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 z (sin.f64 y))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -380000000000000007671525530042951490817617506576277693365931989666292612064506224391406290843455243210661899492542348012232838766610804031758300377407415517221739144937877146224432870028434877745892802087735722279853720674345418752 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 z y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y #s(literal -380000000000000007671525530042951490817617506576277693365931989666292612064506224391406290843455243210661899492542348012232838766610804031758300377407415517221739144937877146224432870028434877745892802087735722279853720674345418752 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 z y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 z y x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -3984496719921263/295147905179352825856 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 z y 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 -47999999999999999194693632 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

soundness707.0ms (7.2%)

Memory

5.8MiB live, 381.4MiB allocated

Rules

14 080×	`lower-fma.f64`
14 080×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
9 822×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	620
1	295	616
2	891	610
3	2076	604
4	3745	604
5	6377	604
0	8794	554
0	489	6358
1	1705	6191
2	6197	6156
0	8471	5617
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8386	18

Stop Event

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

Compiler

Compiled 265 to 116 computations (56.2% saved)

preprocess162.0ms (1.6%)

Memory: -5.9MiB live, 108.4MiB allocated
Compiler: Compiled 256 to 78 computations (69.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (16.4%)

explain158.0ms (1.6%)

preprocess45.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize40.0ms (0.4%)

series34.0ms (0.3%)

simplify818.0ms (8.3%)

rewrite190.0ms (1.9%)

eval58.0ms (0.6%)

prune119.0ms (1.2%)

simplify282.0ms (2.9%)

localize338.0ms (3.4%)

series90.0ms (0.9%)

simplify203.0ms (2.1%)

rewrite234.0ms (2.4%)

eval231.0ms (2.3%)

prune153.0ms (1.5%)

simplify181.0ms (1.8%)

localize258.0ms (2.6%)

series124.0ms (1.3%)

simplify215.0ms (2.2%)

rewrite352.0ms (3.6%)

eval356.0ms (3.6%)

prune499.0ms (5.1%)

simplify157.0ms (1.6%)

localize308.0ms (3.1%)

series113.0ms (1.1%)

simplify277.0ms (2.8%)

rewrite270.0ms (2.7%)

eval235.0ms (2.4%)

prune269.0ms (2.7%)

regimes139.0ms (1.4%)

regimes78.0ms (0.8%)

regimes265.0ms (2.7%)

regimes49.0ms (0.5%)

regimes125.0ms (1.3%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch34.0ms (0.3%)

bsearch47.0ms (0.5%)

bsearch2.0ms (0%)

bsearch16.0ms (0.2%)

simplify7.0ms (0.1%)

soundness707.0ms (7.2%)

preprocess162.0ms (1.6%)

end0.0ms (0%)

Profiling