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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.8s (15.4%)

Memory

22.1MiB live, 1 077.6MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 912.0ms

ival-cos: 437.0ms (47.9% of total)

ival-sin: 255.0ms (28% of total)

ival-mult: 145.0ms (15.9% of total)

ival-add: 67.0ms (7.3% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess49.0ms (0.4%)

Memory

0.4MiB live, 38.6MiB 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 x (cos.f64 y) (*.f64 z (sin.f64 y)))

explain189.0ms (1.6%)

Memory

9.0MiB live, 170.4MiB 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

93.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

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

ival-cos: 11.0ms (34.9% of total)

ival-sin: 11.0ms (34.9% of total)

ival-mult: 7.0ms (22.2% of total)

ival-add: 2.0ms (6.3% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

simplify5.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.3%)

Memory

-13.1MiB live, 64.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))

Samples

25.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 6.0ms (34.7% of total)

ival-sin: 6.0ms (34.7% of total)

ival-mult: 4.0ms (23.2% of total)

ival-add: 1.0ms (5.8% of total)

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

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

series8.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB 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 (* z (sin y)) (taylor 0 x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* -1/2 (* x y))))) (taylor 0 y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) (taylor 0 y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1/2 (* x (pow y 2)))) (taylor 0 y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) (taylor 0 y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) (taylor 0 y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())

Calls

24 calls:

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

simplify671.0ms (5.7%)

Memory

-24.8MiB live, 572.7MiB 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	892	610
3	2078	604
4	3746	604
5	6389	604
0	8805	554

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite537.0ms (4.5%)

Memory

-1.4MiB live, 690.3MiB allocated

Algorithm

1×	batch-egg-rewrite

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

eval33.0ms (0.3%)

Memory: -9.9MiB live, 66.1MiB allocated
Compiler: Compiled 10 060 to 552 computations (94.5% saved)

prune77.0ms (0.6%)

Memory

1.7MiB live, 77.4MiB 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
	65.2%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
▶	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
▶	99.8%	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
	65.3%	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
	19.1%	(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	40.6%	(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
	78.3%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
▶	40.6%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
▶	53.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	53.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x))
	52.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
	41.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
▶	60.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

Compiler

Compiled 658 to 342 computations (48% saved)

simplify308.0ms (2.6%)

Memory

24.8MiB live, 546.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
✓	cost-diff	6720	(-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓	cost-diff	0	(fma.f64 z y x)
✓	cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))

Rules

14 726×	`lower-fma.f32`
14 720×	`lower-fma.f64`
4 342×	`lower-*.f32`
4 326×	`lower-*.f64`
1 268×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	239
0	55	237
1	97	235
2	208	235
3	653	235
4	2018	231
5	4385	229
0	8014	221

Stop Event

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

Calls

Call 1

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

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

localize433.0ms (3.6%)

Memory

-23.0MiB live, 306.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.1%	(-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
✓	accuracy	82.9%	(.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓	accuracy	77.4%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	54.0%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	60.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓	accuracy	100.0%	(fma.f64 z y x)
✓	accuracy	53.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))

Samples

86.0ms	83×	1	valid
58.0ms	128×	0	valid
35.0ms	44×	2	valid
1.0ms	1×	3	valid

Compiler

Compiled 234 to 31 computations (86.8% saved)

Precisions

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

ival-cos: 31.0ms (33.3% of total)

ival-mult: 24.0ms (25.8% of total)

adjust: 15.0ms (16.1% of total)

ival-add: 9.0ms (9.7% of total)

ival-sin: 6.0ms (6.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory

15.9MiB live, 52.5MiB allocated

Counts

14 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
9.0ms	z	@	-inf	(* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))))
3.0ms	y	@	inf	(* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))))
1.0ms	x	@	inf	(* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))))
1.0ms	y	@	inf	(- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))
1.0ms	x	@	inf	(+ (* z y) x)

simplify363.0ms (3.1%)

Memory

-16.3MiB live, 537.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 386×	`lower-fma.f64`
8 386×	`lower-fma.f32`
7 390×	`lower-*.f64`
7 390×	`lower-*.f32`
2 090×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	463	5207
1	1579	5114
2	5629	5083
0	8333	4624

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 361

Calls

Call 1

Inputs
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(pow x 2)
(+ (* (pow y 2) (- (* -1 (pow x 2)) (pow z 2))) (pow x 2))
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (* 1/3 (pow x 2)) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2))
(+ (* (pow y 2) (- (+ (* -1 (pow x 2)) (* (pow y 2) (- (+ (* 1/3 (pow x 2)) (* (pow y 2) (- (* -2/45 (pow x 2)) (* 2/45 (pow z 2))))) (* -1/3 (pow z 2))))) (pow z 2))) (pow x 2))
(- (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)))
(+ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)))
(+ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2)))
(* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) 1/2))
(* (pow z 2) (- (* 1/2 (cos (* 2 y))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) 1/2))
(* (pow z 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) 1/2))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(+ (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* x (- (* x (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* x (- (* x (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (/ (* x (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))))) (* z (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* x (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* 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))))) (+ (* -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)))))))
(* 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)))))))
(/ (* 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
(+ x (* y z))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1 (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) x)) (+ (* -1/2 z) (* 1/6 z)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) (* -1 z))))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (cos y)) (* z (sin y))))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y))))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y))))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y))))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 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 (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (* -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 (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (/ (* z (* (sin y) (- (* 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)))) (* 1/2 (/ 1 (* x (cos y)))))))) (* x (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(* -1 (/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))
(* z (+ (* -1 (/ (* x (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* z (pow (sin y) 2)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))))
(* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))) (+ (/ (* x (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* z (pow (sin y) 2))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow z 2) (pow (sin y) 3))))))
(* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow z 3) (sin y))))) (+ (/ (* x (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* z (pow (sin y) 2))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow z 2) (pow (sin y) 3))))))
(* -1 (/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))
(* -1 (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* z (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))

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

rewrite597.0ms (5%)

Memory

14.2MiB live, 807.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 146×	`lower-fma.f32`
7 140×	`lower-fma.f64`
4 628×	`lower-/.f32`
4 626×	`lower-/.f64`
4 560×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	150
0	55	119
1	204	93
2	1447	93
0	8332	93

Stop Event

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

Counts

14 → 1 091

Calls

Call 1

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

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

eval294.0ms (2.5%)

Memory: 36.6MiB live, 386.3MiB allocated
Compiler: Compiled 76 359 to 2 376 computations (96.9% saved)

prune185.0ms (1.6%)

Memory

3.0MiB live, 470.5MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	1 566	25	1 591
Fresh	8	1	9
Picked	1	4	5
Done	0	0	0
Total	1 575	30	1 605

Accuracy

100.0%

Counts

1 605 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	78.3%	(fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
	40.8%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (fma.f64 (.f64 (.f64 (cos.f64 y) x) (cos.f64 y)) x (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))))
	16.9%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) #s(approx (- ( (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
	53.0%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 z (.f64 y #s(literal -1/6 binary64)))) z) x))
	52.9%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x))
▶	87.3%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
	41.2%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (sin.f64 y)))
	93.4%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
✓	53.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	19.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 (.f64 y (.f64 z (.f64 y z))) (-.f64 (.f64 y z) x)) (.f64 (-.f64 (.f64 y z) x) (.f64 x x))) (.f64 (-.f64 (.f64 y z) x) (-.f64 (*.f64 y z) x))))
	26.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (*.f64 y z))))
	29.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x)))
▶	53.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
▶	29.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
✓	60.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
	38.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	40.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
▶	17.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
	47.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (neg.f64 (*.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))))
	38.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 x (.f64 y (.f64 y #s(literal -1/720 binary64))) (.f64 x #s(literal 1/24 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)))
	38.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) x)))
	49.6%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (fma.f64 x (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))))
	59.9%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	26.8%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))

Compiler

Compiled 1 068 to 585 computations (45.2% saved)

simplify362.0ms (3%)

Memory

19.3MiB live, 565.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (cos.f64 y) z)
✓	cost-diff	0	(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
✓	cost-diff	0	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
✓	cost-diff	704	(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
✓	cost-diff	0	(fma.f64 y z x)
✓	cost-diff	0	(.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))
✓	cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
✓	cost-diff	2368	(.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)))
✓	cost-diff	0	(fma.f64 y z x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y z x))
✓	cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	#s(approx (+ (* z y) x) (*.f64 y z))
✓	cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))

Rules

11 320×	`lower-fma.f32`
11 314×	`lower-fma.f64`
2 884×	`lower--.f32`
2 882×	`lower--.f64`
2 752×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	243
0	55	195
1	88	195
2	160	195
3	445	193
4	2345	193
5	6231	193
0	8376	193

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (1.2%)

Memory

-36.3MiB live, 294.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
✓	accuracy	99.8%	(/.f64 (cos.f64 y) z)
✓	accuracy	99.8%	(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
✓	accuracy	87.5%	(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
✓	accuracy	99.8%	(.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))
✓	accuracy	53.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
✓	accuracy	47.7%	(.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)))
✓	accuracy	100.0%	(fma.f64 y z x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (fma.f64 y z x))
✓	accuracy	53.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	53.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
✓	accuracy	50.9%	#s(approx (+ (* z y) x) (*.f64 y z))
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))

Samples

79.0ms

256×

valid

Compiler

Compiled 203 to 31 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 20.0ms (40% of total)

ival-div: 11.0ms (22% of total)

ival-add: 6.0ms (12% of total)

ival-cos: 6.0ms (12% of total)

ival-sin: 5.0ms (10% of total)

ival-sub: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory

22.2MiB live, 98.4MiB allocated

Counts

20 → 660

Calls

Call 1

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

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

Calls

165 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(/ (cos y) z)
2.0ms	z	@	0	(* z (+ (* x (/ (cos y) z)) (sin y)))
1.0ms	x	@	-inf	(/ 1 (+ (* (cos y) x) (* z (sin y))))
1.0ms	y	@	inf	(* z (+ (* x (/ (cos y) z)) (sin y)))
1.0ms	y	@	-inf	(* z (+ (* x (/ (cos y) z)) (sin y)))

simplify670.0ms (5.6%)

Memory

0.9MiB live, 607.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6 798×	`lower-fma.f64`
6 798×	`lower-fma.f32`
5 222×	`lower-*.f64`
5 222×	`lower-*.f32`
2 782×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	668	6842
1	2195	6532
2	7145	6441
0	8211	6061

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 637

Calls

Call 1

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

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

rewrite488.0ms (4.1%)

Memory

-12.3MiB live, 737.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 446×	`lower-fma.f32`
6 440×	`lower-fma.f64`
4 750×	`lower-*.f32`
4 740×	`lower-*.f64`
3 502×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	208
0	55	162
1	209	161
2	1200	161
0	8458	161

Stop Event

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

Counts

20 → 1 432

Calls

Call 1

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

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

eval384.0ms (3.2%)

Memory: 36.6MiB live, 643.2MiB allocated
Compiler: Compiled 72 296 to 4 000 computations (94.5% saved)

prune687.0ms (5.8%)

Memory

-116.1MiB live, 1 011.6MiB allocated

Pruning

55 alts after pruning (49 fresh and 6 done)

	Pruned	Kept	Total
New	2 373	35	2 408
Fresh	7	14	21
Picked	3	2	5
Done	0	4	4
Total	2 383	55	2 438

Accuracy

100.0%

Counts

2 438 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	78.3%	(fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
	49.1%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	41.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 z (sin.f64 y)))))
	60.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y)))))
	33.7%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))))))
	38.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)))
	40.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
	16.9%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) #s(approx (- ( (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
	52.9%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x))
	41.2%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 z (sin.f64 y)))
▶	93.4%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
	80.2%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 (/.f64 (cos.f64 y) z) (.f64 x z) (.f64 z (sin.f64 y))))
	53.0%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 z (.f64 y #s(literal -1/6 binary64)))) z) x))
	87.4%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) z))
	87.3%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y))) (sin.f64 y))))
✓	87.3%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
▶	73.5%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (sin.f64 y))))
	48.1%	#s(approx (+ (* (sin y) z) (* x (cos y))) (.f64 z #s(approx (+ ( x (/ (cos y) z)) (sin y)) (/.f64 (*.f64 x (cos.f64 y)) z))))
	35.4%	#s(approx (+ (* (sin y) z) (* x (cos y))) (.f64 z #s(approx (+ ( x (/ (cos y) z)) (sin y)) (/.f64 x z))))
	32.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (.f64 (.f64 y z) y) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 y z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y z) x)))))
	15.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (.f64 z z) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y z) x)))))
	25.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 z (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (/.f64 (.f64 y (.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y z) x)))))
✓	53.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	26.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (*.f64 y z))))
	29.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x)))
	32.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (.f64 y z) y) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 y z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y z) x)))))))
	29.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x)))))
	17.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y z) x) (*.f64 y z)))))
	19.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x (.f64 y z)) (.f64 y (.f64 z (.f64 y z)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 (.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x))))))
	28.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (-.f64 (.f64 y z) x))))
	15.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y z) x)) (/.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 z (.f64 z z))))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (.f64 y (.f64 z z))))) y))))
	27.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (-.f64 (.f64 y z) x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))) (/.f64 (fma.f64 y z x) (/.f64 #s(literal -1 binary64) (fma.f64 y z x)))))
	26.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
	26.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))))))
	11.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (/ 1 (- ( y z) x)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))
	20.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (/ 1 (- ( y z) x)) (/.f64 #s(literal -1 binary64) x))))
▶	22.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (fma.f64 y z x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
	29.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 y z))) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
	8.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 z (.f64 z (fma.f64 y y (/.f64 #s(literal 0 binary64) z))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
	5.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 y (.f64 y (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
	20.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
✓	60.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
▶	38.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
▶	40.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	47.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* y z) x))) (fma.f64 x (*.f64 y (/.f64 z x)) x)))
✓	17.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
	38.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 x (.f64 y (.f64 y #s(literal -1/720 binary64))) (.f64 x #s(literal 1/24 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)))
	38.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) x)))
	59.9%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	26.8%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))

Compiler

Compiled 2 204 to 1 121 computations (49.1% saved)

simplify237.0ms (2%)

Memory

8.0MiB live, 416.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
✓	cost-diff	0	(fma.f64 x (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (sin.f64 y))
✓	cost-diff	0	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (sin.f64 y))))
✓	cost-diff	704	(*.f64 z (fma.f64 x (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (sin.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y z x))
✓	cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (fma.f64 y z x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
✓	cost-diff	2112	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (fma.f64 y z x)))
✓	cost-diff	2368	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (fma.f64 y z x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)))
✓	cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
✓	cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 (sin.f64 y) x)
✓	cost-diff	0	(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
✓	cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
✓	cost-diff	704	(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))

Rules

7 180×	`lower-fma.f32`
7 168×	`lower-fma.f64`
3 788×	`lower-*.f32`
3 766×	`lower-*.f64`
2 224×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	403
0	79	436
1	159	420
2	418	370
3	1349	333
4	2811	331
5	4843	331
0	8424	322

Stop Event

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

Calls

Call 1

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

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

localize170.0ms (1.4%)

Memory

-36.6MiB live, 287.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
✓	accuracy	99.8%	(fma.f64 x (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (sin.f64 y))
✓	accuracy	87.5%	(*.f64 z (fma.f64 x (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (sin.f64 y)))
✓	accuracy	56.3%	#s(approx (cos y) #s(literal 1 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))
✓	accuracy	81.1%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (fma.f64 y z x)))
✓	accuracy	53.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (fma.f64 y z x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
✓	accuracy	47.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (fma.f64 y z x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)))
✓	accuracy	99.8%	(.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
✓	accuracy	99.6%	(*.f64 y #s(literal -1/720 binary64))
✓	accuracy	60.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
✓	accuracy	53.0%	#s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
✓	accuracy	60.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓	accuracy	56.3%	#s(approx (cos y) #s(literal 1 binary64))
✓	accuracy	100.0%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
✓	accuracy	99.8%	(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
✓	accuracy	99.8%	(/.f64 (sin.f64 y) x)
✓	accuracy	93.5%	(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))

Samples

102.0ms

256×

valid

Compiler

Compiled 296 to 45 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 27.0ms (37.5% of total)

ival-cos: 12.0ms (16.7% of total)

ival-add: 10.0ms (13.9% of total)

ival-div: 9.0ms (12.5% of total)

const: 6.0ms (8.3% of total)

ival-sin: 5.0ms (6.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory

33.5MiB live, 69.5MiB allocated

Counts

21 → 612

Calls

Call 1

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

Outputs
#s(alt (* z (sin y)) (taylor 0 x) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 y) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* -1/2 (* x y))))) (taylor 0 y) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) (taylor 0 y) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf y) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf y) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf y) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf y) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor -inf y) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor -inf y) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor -inf y) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor -inf y) (#s(alt (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) (patch (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) (patch #s(approx (/ 1 (/ 1 (+ ( (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 y) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) (patch #s(approx (/ 1 (/ 1 (+ ( (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* -1/2 (* x y))))) (taylor 0 y) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) (patch #s(approx (/ 1 (/ 1 (+ ( (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) (taylor 0 y) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) (patch #s(approx (/ 1 (/ 1 (+ ( (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) (patch #s(approx (/ 1 (/ 1 (+ ( (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) (patch #s(approx (/ 1 (/ 1 (+ ( (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) (taylor 0 y) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) (taylor 0 y) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) (taylor 0 y) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor inf y) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor inf y) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor inf y) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor inf y) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor -inf y) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor -inf y) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor -inf y) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor -inf y) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor inf z) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor inf z) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor inf z) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor inf z) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor -inf z) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor -inf z) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor -inf z) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (cos y) z) (taylor -inf z) (#s(alt (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1/720 y) (taylor 0 y) (#s(alt (.f64 y #s(literal -1/720 binary64)) (patch (.f64 y #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 y) (taylor 0 y) (#s(alt (.f64 y #s(literal -1/720 binary64)) (patch (.f64 y #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 y) (taylor 0 y) (#s(alt (.f64 y #s(literal -1/720 binary64)) (patch (.f64 y #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 y) (taylor 0 y) (#s(alt (.f64 y #s(literal -1/720 binary64)) (patch (.f64 y #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 y) (taylor inf y) (#s(alt (.f64 y #s(literal -1/720 binary64)) (patch (.f64 y #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 y) (taylor inf y) (#s(alt (.f64 y #s(literal -1/720 binary64)) (patch (.f64 y #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 y) (taylor inf y) (#s(alt (.f64 y #s(literal -1/720 binary64)) (patch (.f64 y #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 y) (taylor inf y) (#s(alt (.f64 y #s(literal -1/720 binary64)) (patch (.f64 y #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -1/720 binary64)) (patch (.f64 y #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -1/720 binary64)) (patch (.f64 y #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -1/720 binary64)) (patch (.f64 y #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/720 y) (taylor -inf y) (#s(alt (.f64 y #s(literal -1/720 binary64)) (patch (.f64 y #s(literal -1/720 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (* -1 (/ (* y (pow z 2)) (pow x 3))) (/ z (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (- (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow x 4))) (/ (pow z 2) (pow x 3)))) (/ z (pow x 2)))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y z)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ 1 z) (/ x (* y (pow z 2)))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 z) (/ (pow x 2) (* (pow y 2) (pow z 3)))) (* -1 (/ x (* y (pow z 2))))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 z) (/ (pow x 3) (* (pow y 3) (pow z 4)))) (+ (* -1 (/ x (* y (pow z 2)))) (* -1 (/ (pow x 2) (* (pow y 2) (pow z 3)))))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y z)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ x (* y (pow z 2)))) (/ 1 z)) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 3))) (* -1 (/ x (pow z 2)))) y)) (/ 1 z)) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow z 4)))) (/ (pow x 2) (pow z 3))) y)) (* -1 (/ x (pow z 2)))) y)) (/ 1 z)) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (* y z) (pow x 2))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (- (* z (- (* -1 (/ (* (pow y 2) z) (pow x 3))) (/ y (pow x 2)))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (- (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow x 4))) (/ (pow y 2) (pow x 3)))) (/ y (pow x 2)))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y z)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ 1 y) (/ x (* (pow y 2) z))) z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 2)))) (* -1 (/ x (* (pow y 2) z)))) z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 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) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* (pow y 3) z)) (* -1 (/ x (pow y 2)))) z)) (/ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) (* (pow y 4) z))) (/ (pow x 2) (pow y 3))) z)) (* -1 (/ x (pow y 2)))) z)) (/ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* y z)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (* y z)) (/ x (* (pow y 2) (pow z 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (/ 1 (* (pow y 2) (pow z 2))) (/ x (* (pow y 3) (pow z 3))))) (/ 1 (* y z))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* x (+ (/ 1 (* (pow y 3) (pow z 3))) (/ x (* (pow y 4) (pow z 4))))) (/ 1 (* (pow y 2) (pow z 2))))) (/ 1 (* y z))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (* y z) x)) 1) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 2))) (+ 1 (/ (* y z) x))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (* (pow y 3) (pow z 3)) (pow x 3))) (+ 1 (+ (/ (* y z) x) (/ (* (pow y 2) (pow z 2)) (pow x 2))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ (* y z) x)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
#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 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) 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 y z) x)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())

Calls

153 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(+ (* (* y y) (+ (* (* y y) (+ (* y (* y -1/720)) 1/24)) -1/2)) 1)
1.0ms	y	@	inf	(* x (+ (* z (/ (sin y) x)) (cos y)))
1.0ms	y	@	-inf	(* x (+ (* z (/ (sin y) x)) (cos y)))
1.0ms	x	@	0	(* x (+ (* z (/ (sin y) x)) (cos y)))
0.0ms	x	@	-inf	(* x (+ (* z (/ (sin y) x)) (cos y)))

simplify437.0ms (3.7%)

Memory

-10.4MiB live, 589.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 066×	`lower-fma.f64`
9 066×	`lower-fma.f32`
5 138×	`lower-*.f64`
5 138×	`lower-*.f32`
2 226×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	562	5826
1	1811	5646
2	5414	5564
0	8248	5196

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 599

Calls

Call 1

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

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

rewrite379.0ms (3.2%)

Memory

28.1MiB live, 490.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 836×	`lower-fma.f32`
4 824×	`lower-fma.f64`
4 170×	`lower-/.f32`
4 162×	`lower-/.f64`
3 932×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	317
0	79	309
1	322	248
2	2238	248
0	8485	243

Stop Event

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

Counts

21 → 467

Calls

Call 1

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

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

eval155.0ms (1.3%)

Memory: -17.0MiB live, 338.3MiB allocated
Compiler: Compiled 26 451 to 1 883 computations (92.9% saved)

prune361.0ms (3%)

Memory

7.1MiB live, 582.1MiB allocated

Pruning

60 alts after pruning (51 fresh and 9 done)

	Pruned	Kept	Total
New	1 059	20	1 079
Fresh	13	31	44
Picked	2	3	5
Done	0	6	6
Total	1 074	60	1 134

Accuracy

100.0%

Counts

1 134 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	78.3%	(fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
	60.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* z (sin y))) (*.f64 x (cos.f64 y)))))
	38.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))) x)))
	40.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
	82.6%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 (/.f64 (sin.f64 y) x) (.f64 z x) (.f64 x (cos.f64 y))))
	53.0%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) x))
	52.9%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
	46.8%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (*.f64 x x)))))
	87.4%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))
	41.2%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 z (sin.f64 y)))
	93.4%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (.f64 x (fma.f64 (.f64 z (sin.f64 y)) (/.f64 #s(literal 1 binary64) x) (cos.f64 y))))
	89.3%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))))
	93.4%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 y))) (cos.f64 y))))
	93.3%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (.f64 x (fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))) (cos.f64 y))))
	46.0%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 (/.f64 z x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) (/.f64 z x)) #s(literal 1 binary64)))))
	34.8%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (*.f64 z (/.f64 (sin.f64 y) x)))))
	80.2%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 (/.f64 (cos.f64 y) z) (.f64 x z) (.f64 z (sin.f64 y))))
	32.1%	#s(approx (+ (* (sin y) z) (* x (cos y))) (/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) (/.f64 x z)) (sin.f64 y))))
	87.3%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y))) (sin.f64 y))))
✓	87.3%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
✓	73.5%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x (/.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (sin.f64 y))))
	48.1%	#s(approx (+ (* (sin y) z) (* x (cos y))) (.f64 z #s(approx (+ ( x (/ (cos y) z)) (sin y)) (/.f64 (*.f64 x (cos.f64 y)) z))))
	35.4%	#s(approx (+ (* (sin y) z) (* x (cos y))) (.f64 z #s(approx (+ ( x (/ (cos y) z)) (sin y)) (/.f64 x z))))
	32.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (.f64 (.f64 y z) y) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 y z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y z) x)))))
	15.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 (.f64 z z) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (/.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y z) x)))))
	25.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (/.f64 z (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (/.f64 (.f64 y (.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y z) x)))))
✓	53.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	28.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y (.f64 z y)))) (-.f64 x (*.f64 z y))))
	26.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (*.f64 y z))))
	29.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 z y x)) (fma.f64 z y x)))
	32.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 (.f64 y z) y) #s(literal 1 binary64)) (/.f64 z (-.f64 (.f64 y z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 y z) x)))))))
	29.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x)))))
	17.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y z) x) (*.f64 y z)))))
	19.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x (.f64 y z)) (.f64 y (.f64 z (.f64 y z)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 (.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 y z x))))))
	28.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (-.f64 (.f64 y z) x))))
	15.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* y z) x)) (/.f64 (fma.f64 x (/.f64 x (.f64 y (.f64 y (.f64 z (.f64 z z))))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (.f64 y (.f64 z z))))) y))))
	27.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (-.f64 (.f64 y z) x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))) (/.f64 (fma.f64 y z x) (/.f64 #s(literal -1 binary64) (fma.f64 y z x)))))
	53.3%	#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)))))
	26.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
	26.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))))))
	11.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (/ 1 (- ( y z) x)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))
	20.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (/ 1 (- ( y z) x)) (/.f64 #s(literal -1 binary64) x))))
	16.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (fma.f64 y z x))) #s(approx (/ 1 (- ( y z) x)) (/.f64 #s(literal -1 binary64) x))))
	29.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x)) (.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
	8.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (/ 1 (+ (* y z) x)) (* (* (+ (* y z) x) (- (* y z) x)) (+ (* y z) x))) (.f64 z (.f64 z (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
	20.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (/ 1 (+ (* y z) x)) (* (* (+ (* y z) x) (- (* y z) x)) (+ (* y z) x))) (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
✓	60.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓	38.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
✓	40.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	47.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* y z) x))) (fma.f64 x (*.f64 y (/.f64 z x)) x)))
✓	17.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
	38.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)))
	38.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y)) (.f64 x #s(literal -1/2 binary64))) x)))
	59.9%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	26.8%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))

Compiler

Compiled 2 983 to 947 computations (68.3% saved)

regimes122.0ms (1%)

Memory

1.6MiB live, 268.8MiB allocated

Counts

95 → 1

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	z
30.0ms	y
28.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
27.0ms	x

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)

regimes134.0ms (1.1%)

Memory

14.8MiB live, 164.2MiB allocated

Counts

64 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

56.0ms	x
30.0ms	y
24.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
20.0ms	z

Results

Accuracy	Segments	Branch
87.4%	3	`x`
80.5%	2	`y`
89.7%	3	`z`
78.3%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes120.0ms (1%)

Memory

-39.2MiB live, 139.7MiB allocated

Counts

57 → 4

Calls

Call 1

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

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

Calls

4 calls:

64.0ms	z
17.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
17.0ms	y
16.0ms	x

Results

Accuracy	Segments	Branch
71.2%	7	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
79.7%	4	`y`
75.2%	3	`x`
74.5%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes38.0ms (0.3%)

Memory

8.8MiB live, 88.7MiB allocated

Counts

54 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

18.0ms	y
16.0ms	x

Results

Accuracy	Segments	Branch
69.0%	3	`x`
75.1%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes71.0ms (0.6%)

Memory

26.2MiB live, 143.5MiB allocated

Counts

53 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	z
18.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
16.0ms	y
15.0ms	x

Results

Accuracy	Segments	Branch
53.7%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
53.7%	1	`x`
53.7%	1	`z`
53.7%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory

-21.6MiB live, 18.1MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
44.7%	3	`x`
40.2%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
45.1%	3	`z`
40.2%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0%)

Memory

15.6MiB live, 15.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
17.8%	1	`y`
17.8%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
17.8%	1	`x`
17.8%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch41.0ms (0.3%)

Memory

-24.0MiB live, 95.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.8754432187676467e-139	1.5065169595240742e-130
18.0ms	-2.503256744009873e-119	-1.4599320715084254e-124

Samples

25.0ms

288×

valid

Compiler

Compiled 393 to 266 computations (32.3% saved)

Precisions

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

ival-cos: 7.0ms (38% of total)

ival-sin: 6.0ms (32.5% of total)

ival-mult: 4.0ms (21.7% of total)

ival-add: 1.0ms (5.4% of total)

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

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

bsearch54.0ms (0.5%)

Memory

37.6MiB live, 112.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
11.0ms	0.11305038595753089	2.1524881190350382
17.0ms	-0.010404926586582026	-9.229600091651217e-15
23.0ms	-1.2676463921337993e+118	-8.90479990163672e+112

Samples

36.0ms

416×

valid

Compiler

Compiled 653 to 411 computations (37.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-cos: 10.0ms (38.6% of total)

ival-mult: 7.0ms (27% of total)

ival-sin: 7.0ms (27% of total)

ival-add: 2.0ms (7.7% of total)

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

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

bsearch28.0ms (0.2%)

Memory

-49.2MiB live, 42.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.11305038595753089	2.1524881190350382
19.0ms	-2673609859.6620193	-0.010404926586582026

Samples

13.0ms

160×

valid

Compiler

Compiled 491 to 303 computations (38.3% saved)

Precisions

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

ival-sin: 4.0ms (42.8% of total)

ival-cos: 2.0ms (21.4% of total)

ival-mult: 2.0ms (21.4% of total)

ival-add: 1.0ms (10.7% of total)

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

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

bsearch35.0ms (0.3%)

Memory

4.3MiB live, 42.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.8831522928715777e+217	1.0411435886413583e+222
16.0ms	-5.674216819595894e+215	-1.8040568560782513e+213

Samples

21.0ms

256×

valid

Compiler

Compiled 303 to 190 computations (37.3% saved)

Precisions

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

ival-cos: 5.0ms (33.2% of total)

ival-sin: 5.0ms (33.2% of total)

ival-mult: 3.0ms (19.9% of total)

ival-add: 1.0ms (6.6% of total)

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

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

simplify8.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	283
1	67	283

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -2279366239391023/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (fma.f64 (sin.f64 y) z (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (.f64 x #s(approx (cos y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal -299999999999999987169819040575957512300442602135347507185575726983550642943261859699871623379506848514756468075921408 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal -734987459186865/72057594037927936 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 3242591731706757/9007199254740992 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y #s(literal -5620492334958379/72057594037927936 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 3242591731706757/9007199254740992 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal -1849999999999999963563216716663026788660325275339416241196164420438250673583743942383899216369188804444568857304120101348828307771192260410567781727877194872068564873217770985271841953664820585938619267073146093568 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 y z))) (if (<=.f64 z #s(literal 19000000000000000100829185286713289098128910100551561306717986397636920493994805105172716662811031196495450256493149604491213201278283853636683447335431959830718916472607774096380095404940001920862008478581182013898752 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))

Outputs
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -2279366239391023/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (fma.f64 (sin.f64 y) z (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) z (.f64 x #s(approx (cos y) #s(literal 1 binary64))))))
(if (<=.f64 z #s(literal -2279366239391023/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (fma.f64 (sin.f64 y) z (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) z (.f64 x #s(approx (cos y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal -299999999999999987169819040575957512300442602135347507185575726983550642943261859699871623379506848514756468075921408 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal -734987459186865/72057594037927936 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 3242591731706757/9007199254740992 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y #s(literal -299999999999999987169819040575957512300442602135347507185575726983550642943261859699871623379506848514756468075921408 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal -734987459186865/72057594037927936 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 3242591731706757/9007199254740992 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal -1/6 binary64))) z) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y #s(literal -5620492334958379/72057594037927936 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 3242591731706757/9007199254740992 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -5620492334958379/72057594037927936 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3242591731706757/9007199254740992 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal -1/6 binary64))) z) x)) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal -1849999999999999963563216716663026788660325275339416241196164420438250673583743942383899216369188804444568857304120101348828307771192260410567781727877194872068564873217770985271841953664820585938619267073146093568 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 y z))) (if (<=.f64 z #s(literal 19000000000000000100829185286713289098128910100551561306717986397636920493994805105172716662811031196495450256493149604491213201278283853636683447335431959830718916472607774096380095404940001920862008478581182013898752 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))

soundness868.0ms (7.3%)

Memory

-2.4MiB live, 549.2MiB allocated

Rules

14 080×	`lower-fma.f64`
14 080×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
8 386×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	463	5207
1	1579	5114
2	5629	5083
0	8333	4624
0	93	620
1	295	616
2	892	610
3	2078	604
4	3746	604
5	6389	604
0	8805	554
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 301 to 136 computations (54.8% saved)

preprocess127.0ms (1.1%)

Memory: 3.4MiB live, 132.2MiB allocated
Compiler: Compiled 320 to 102 computations (68.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.8s (15.4%)

preprocess49.0ms (0.4%)

explain189.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize34.0ms (0.3%)

series8.0ms (0.1%)

simplify671.0ms (5.7%)

rewrite537.0ms (4.5%)

eval33.0ms (0.3%)

prune77.0ms (0.6%)

simplify308.0ms (2.6%)

localize433.0ms (3.6%)

series44.0ms (0.4%)

simplify363.0ms (3.1%)

rewrite597.0ms (5%)

eval294.0ms (2.5%)

prune185.0ms (1.6%)

simplify362.0ms (3%)

localize141.0ms (1.2%)

series54.0ms (0.5%)

simplify670.0ms (5.6%)

rewrite488.0ms (4.1%)

eval384.0ms (3.2%)

prune687.0ms (5.8%)

simplify237.0ms (2%)

localize170.0ms (1.4%)

series37.0ms (0.3%)

simplify437.0ms (3.7%)

rewrite379.0ms (3.2%)

eval155.0ms (1.3%)

prune361.0ms (3%)

regimes122.0ms (1%)

regimes134.0ms (1.1%)

regimes120.0ms (1%)

regimes38.0ms (0.3%)

regimes71.0ms (0.6%)

regimes8.0ms (0.1%)

regimes6.0ms (0%)

bsearch41.0ms (0.3%)

bsearch54.0ms (0.5%)

bsearch28.0ms (0.2%)

bsearch35.0ms (0.3%)

simplify8.0ms (0.1%)

soundness868.0ms (7.3%)

preprocess127.0ms (1.1%)

end0.0ms (0%)

Profiling