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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample2.0s (16.6%)

Memory

12.7MiB live, 1 604.3MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-cos: 612.0ms (56.2% of total)

ival-sin: 244.0ms (22.4% of total)

ival-mult: 136.0ms (12.5% of total)

ival-add: 88.0ms (8.1% of total)

ival-true: 6.0ms (0.6% of total)

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

Bogosity

explain168.0ms (1.4%)

Memory

-17.2MiB live, 152.1MiB 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

80.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-sin: 45.0ms (69.8% of total)

ival-cos: 10.0ms (15.5% of total)

ival-mult: 7.0ms (10.9% of total)

ival-add: 2.0ms (3.1% of total)

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

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

preprocess103.0ms (0.9%)

Memory

14.3MiB live, 53.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize82.0ms (0.7%)

Memory

4.2MiB live, 43.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.01171875	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.09765625	(*.f64 z (sin.f64 y))
accuracy	0.13671875	(*.f64 x (cos.f64 y))

Samples

74.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-cos: 56.0ms (84.4% of total)

ival-sin: 6.0ms (9% of total)

ival-mult: 3.0ms (4.5% of total)

ival-add: 1.0ms (1.5% of total)

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

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

series8.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB 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)))
1.0ms	y	@	-inf	(+ (* x (cos y)) (* z (sin y)))
0.0ms	y	@	inf	(+ (* x (cos y)) (* z (sin y)))

simplify420.0ms (3.5%)

Memory

13.8MiB live, 246.0MiB 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 y y) (.f64 x (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))

rewrite546.0ms (4.5%)

Memory

-16.3MiB live, 299.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8386	18

Stop Event

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

Counts

4 → 176

Calls

Call 1

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

Outputs
(+.f64 (.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))))

eval53.0ms (0.4%)

Memory: 19.9MiB live, 55.2MiB allocated
Compiler: Compiled 10 060 to 552 computations (94.5% saved)

prune56.0ms (0.5%)

Memory

-1.7MiB live, 122.1MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	255	15	270
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	256	15	271

Accuracy

99.9%

Counts

271 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
	66.5%	(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)))))))
	48.9%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
	49.0%	(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
	22.8%	(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 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 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 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 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	76.1%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	47.1%	(+.f64 (exp.f64 (log.f64 (.f64 x (cos.f64 y)))) (.f64 z (sin.f64 y)))
	52.2%	(.f64 (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (/.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
▶	48.9%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
▶	52.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	51.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x))
	51.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
	41.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
▶	59.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

Compiler

Compiled 852 to 394 computations (53.8% saved)

simplify230.0ms (1.9%)

Memory

1.6MiB live, 276.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(+.f64 #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	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.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

12 900×	`lower-fma.f32`
12 894×	`lower-fma.f64`
3 172×	`lower-*.f32`
3 156×	`lower-*.f64`
1 498×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	260
0	59	256
1	103	254
2	223	254
3	678	254
4	2058	250
5	4849	248
6	7613	248
0	8081	240

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

localize264.0ms (2.2%)

Memory

-2.4MiB live, 409.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.9023396216604116	(-.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	7.243705011307422	(.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
accuracy	16.472198661227893	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	23.95263080302765	(.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	0.0859375	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
accuracy	0.09765625	(*.f64 z (sin.f64 y))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
accuracy	0.23046875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
accuracy	0	(cos.f64 y)
accuracy	0.13671875	(*.f64 x (cos.f64 y))
accuracy	25.951614660310778	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
accuracy	0	(fma.f64 z y x)
accuracy	30.325682733743285	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.0859375	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
accuracy	0.09765625	(*.f64 z (sin.f64 y))

Samples

95.0ms	76×	1	valid
52.0ms	47×	2	valid
44.0ms	132×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 259 to 31 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-cos: 53.0ms (32.8% of total)

ival-add: 35.0ms (21.6% of total)

ival-mult: 25.0ms (15.5% of total)

ival-sub: 19.0ms (11.7% of total)

adjust: 14.0ms (8.7% of total)

ival-div: 10.0ms (6.2% of total)

ival-sin: 5.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.4%)

Memory

-6.1MiB live, 106.6MiB allocated

Counts

16 → 444

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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())
#s(alt (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (patch (fma.f64 x (cos.f64 y) (.f64 z (sin.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>) () ())) ())
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#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor 0 z) (#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 0 z) (#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 z) (#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 z) (#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 z) (#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 z) (#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 z) (#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 z) (#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 z) (#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 z) (#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 y 2) (pow z 2)) (taylor 0 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 y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) (taylor 0 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 y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) (taylor 0 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 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))) (taylor 0 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 (* 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 (* 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

111 calls:

Time	Variable		Point	Expression
10.0ms	y	@	-inf	(- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))
2.0ms	y	@	-inf	(+ (* (cos y) x) (* z (sin y)))
2.0ms	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)))))))
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	@	0	(- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))

simplify462.0ms (3.8%)

Memory

9.6MiB live, 450.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 706×	`lower-fma.f64`
7 706×	`lower-fma.f32`
7 008×	`lower-*.f64`
7 008×	`lower-*.f32`
2 810×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	615	6462
1	2097	6324
2	7626	6308
0	8199	5828

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 432

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))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(/ 1 (* 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)
(+ (* -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))))
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(/ 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)))
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(/ 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))
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(* -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))
(* z (sin y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
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(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
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(* (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)))))
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(* (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 #s(literal -1/2 binary64) y) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 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)))
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(neg.f64 (.f64 z (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y)) (neg.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (sin.f64 y))))) (.f64 z z)) (.f64 (.f64 x (cos.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))))))
(* -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))))))
(neg.f64 (.f64 z (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y)) (neg.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (cos.f64 y) (fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (sin.f64 y))))) (/.f64 x (.f64 z (sin.f64 y))) (fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 x x) (sin.f64 y)))))) (.f64 z z)) (.f64 (.f64 x (cos.f64 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(.f64 (.f64 (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(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 (* 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 (* 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 (* 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 (* 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 y 2) (pow z 2))
(.f64 y (.f64 y (*.f64 z z)))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(.f64 y (.f64 y (.f64 (fma.f64 y (.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 z z))))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(.f64 (.f64 y y) (fma.f64 z z (.f64 (.f64 y y) (.f64 (.f64 z z) (fma.f64 (*.f64 y y) #s(literal 2/45 binary64) #s(literal -1/3 binary64))))))
(* (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)))
(.f64 (.f64 y y) (fma.f64 z z (.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 (.f64 z z) (fma.f64 (.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) (.f64 (.f64 z z) #s(literal -1/3 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 (* 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)))

rewrite489.0ms (4.1%)

Memory

-16.8MiB live, 614.6MiB allocated

Rules

6 086×	`lower-fma.f32`
6 080×	`lower-fma.f64`
4 584×	`lower-*.f32`
4 572×	`lower-/.f32`
4 568×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	170
0	59	137
1	207	111
2	1422	111
0	8398	111

Stop Event

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

Counts

16 → 1 574

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

eval596.0ms (4.9%)

Memory: -114.8MiB live, 496.2MiB allocated
Compiler: Compiled 102 512 to 3 443 computations (96.6% saved)

prune306.0ms (2.5%)

Memory

21.0MiB live, 559.1MiB allocated

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	2 110	36	2 146
Fresh	10	0	10
Picked	2	3	5
Done	0	0	0
Total	2 122	39	2 161

Accuracy

100.0%

Counts

2 161 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
	76.1%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
	50.0%	(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	50.0%	(/.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)))
	52.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))))
	41.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
	59.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
	31.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))))
▶	36.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
	37.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (neg.f64 (/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z))))
	50.4%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (fma.f64 (neg.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)))))
	49.0%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
	62.0%	(.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 (*.f64 z (sin.f64 y)) (sin.f64 y)) z)))
	14.6%	(.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)))))
	37.9%	(.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 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	51.5%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin 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))
	51.3%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
	87.5%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
	41.9%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (sin.f64 y)))
▶	90.5%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
✓	52.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	33.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y (.f64 y z)))) (-.f64 x (*.f64 y z))))
	21.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 z (.f64 y (.f64 y z))) (.f64 y (.f64 z x)))) (fma.f64 (.f64 y z) (.f64 z (.f64 y (.f64 y z))) (.f64 x (*.f64 x x))))))
▶	34.3%	#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))))
✓	59.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
	34.2%	#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 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	34.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
	34.4%	#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)))))
	36.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	46.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (*.f64 y (/.f64 z x)) x)))
	47.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z (+.f64 y (/.f64 x z)))))
	42.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
▶	19.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
	46.0%	#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))))))
	34.2%	#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)))
	34.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) x)))
	34.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 x y) (.f64 #s(literal -1/2 binary64) y) x)))
▶	99.2%	#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)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
	59.2%	#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))))

Compiler

Compiled 1 375 to 796 computations (42.1% saved)

simplify252.0ms (2.1%)

Memory

19.0MiB live, 373.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

12 952×	`lower-fma.f32`
12 944×	`lower-fma.f64`
4 816×	`lower-*.f32`
4 802×	`lower-*.f64`
1 858×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	369
0	83	348
1	164	334
2	392	314
3	1172	313
4	4030	311
0	8279	300

Stop Event

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

Calls

Call 1

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

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

localize578.0ms (4.8%)

Memory

-50.3MiB live, 373.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
accuracy	0.08984375	(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy	0.15625	(/.f64 (sin.f64 y) x)
accuracy	6.024614144667392	(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
accuracy	0.109375	(.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))
accuracy	0.2705065635296927	(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))
accuracy	27.579508349094844	(.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)))
accuracy	30.325682733743285	#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	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.23046875	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
accuracy	40.414813136390755	#s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x))
accuracy	0	(*.f64 y z)
accuracy	30.140578153055202	#s(approx (+ (* z y) x) (*.f64 y z))
accuracy	30.325682733743285	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
accuracy	0.17253876953688405	(.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
accuracy	0.22265625	(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
accuracy	0.23046875	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	0.4078298930911404	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))

Samples

111.0ms	193×	0	valid
49.0ms	63×	1	valid

Compiler

Compiled 301 to 52 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-cos: 42.0ms (32.6% of total)

ival-mult: 40.0ms (31.1% of total)

ival-div: 15.0ms (11.7% of total)

ival-add: 12.0ms (9.3% of total)

adjust: 6.0ms (4.7% of total)

ival-sub: 5.0ms (3.9% of total)

ival-sin: 5.0ms (3.9% of total)

ival-pow2: 3.0ms (2.3% of total)

exact: 1.0ms (0.8% of total)

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

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

series74.0ms (0.6%)

Memory

6.4MiB live, 120.4MiB allocated

Counts

21 → 624

Calls

Call 1

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

156 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	(* (* (+ (* y z) x) (- (* y z) x)) (/ 1 (- (* y z) x)))
2.0ms	y	@	inf	(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
2.0ms	y	@	-inf	(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
2.0ms	x	@	0	(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
1.0ms	z	@	0	(+ (* x (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* z (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))

simplify335.0ms (2.8%)

Memory

44.7MiB live, 452.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 280×	`lower-fma.f64`
8 280×	`lower-fma.f32`
7 166×	`lower-*.f64`
7 166×	`lower-*.f32`
3 510×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	857	8597
1	2948	8310
0	8335	7757

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 605

Calls

Call 1

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

rewrite429.0ms (3.6%)

Memory

5.5MiB live, 545.6MiB allocated

Rules

5 436×	`lower-*.f32`
5 422×	`lower-*.f64`
3 642×	`lower-fma.f32`
3 634×	`lower-fma.f64`
3 520×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	308
0	83	286
1	348	245
2	2656	245
0	8678	239

Stop Event

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

Counts

21 → 491

Calls

Call 1

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

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

eval217.0ms (1.8%)

Memory: 10.1MiB live, 406.3MiB allocated
Compiler: Compiled 32 331 to 2 255 computations (93% saved)

prune302.0ms (2.5%)

Memory

-23.1MiB live, 536.1MiB allocated

Pruning

46 alts after pruning (40 fresh and 6 done)

	Pruned	Kept	Total
New	1 157	22	1 179
Fresh	13	18	31
Picked	2	3	5
Done	0	3	3
Total	1 172	46	1 218

Accuracy

100.0%

Counts

1 218 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
	76.1%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
	50.0%	(/.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)))
▶	52.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))))
▶	41.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
	59.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
	31.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))))
✓	36.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
	37.9%	(.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 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	86.2%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (/.f64 (sin.f64 y) x) (.f64 z x) (.f64 x (cos.f64 y))))
	51.5%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) y) (.f64 x #s(literal -1/2 binary64))) z) x))
	51.3%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
	87.5%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
	41.9%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (sin.f64 y)))
	72.0%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x (fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (.f64 z (/.f64 (sin.f64 y) x)))))
	86.0%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))))
✓	90.5%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
	46.0%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
	32.7%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
▶	36.8%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
✓	52.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	31.9%	#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))))
	21.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 y z x) (.f64 y (.f64 z (*.f64 y z))))))
	24.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (.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))))
▶	32.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (fma.f64 y z x))))
	14.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (/ 1 (- ( y z) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))))
	22.5%	#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))))
	31.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (.f64 y z))) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
	34.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
	21.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 x x) (+.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 z z) (neg.f64 x)) #s(literal 0 binary64)) (neg.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
	13.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 z (.f64 y (.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
	22.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
✓	59.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
	34.2%	#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 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	34.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
	34.4%	#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)))))
	46.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) x)))
	47.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z (+.f64 y (/.f64 x z)))))
	42.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
✓	19.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
	34.2%	#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)))
	34.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) x)))
	34.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 x y) (.f64 #s(literal -1/2 binary64) y) x)))
▶	99.5%	#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 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))))
	59.1%	#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 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	59.2%	#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))))

Compiler

Compiled 1 620 to 854 computations (47.3% saved)

simplify232.0ms (1.9%)

Memory

-0.7MiB live, 263.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
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 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (fma.f64 y z x))))
cost-diff	1408	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (fma.f64 y z x))
cost-diff	2368	(.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (fma.f64 y z x)))
cost-diff	0	(fma.f64 y z x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))))
cost-diff	0	#s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
cost-diff	0	#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 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))))
cost-diff	7168	(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64))
cost-diff	7616	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))

Rules

7 172×	`lower-fma.f32`
7 164×	`lower-fma.f64`
4 858×	`lower-*.f32`
4 840×	`lower-*.f64`
1 834×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	516
0	98	459
1	191	437
2	483	429
3	2277	413
4	5024	413
0	8111	400

Stop Event

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

Calls

Call 1

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

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

localize241.0ms (2%)

Memory

25.9MiB live, 348.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(*.f64 z (sin.f64 y))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y))))
accuracy	0.23046875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
accuracy	37.15744642450696	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
accuracy	0.3265351127871484	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)))
accuracy	27.579508349094844	(.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (fma.f64 y z x)))
accuracy	28.650738970084262	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (fma.f64 y z x))
accuracy	30.325682733743285	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (fma.f64 y z x))))
accuracy	0	(fma.f64 y z x)
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x)))
accuracy	0.23046875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))))
accuracy	30.325682733743285	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y z x))
accuracy	0	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
accuracy	6.024614144667392	(.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) #s(literal 1 binary64)))
accuracy	40.58238539471715	#s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))
accuracy	0.26953125	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y))))
accuracy	0.4078298930911404	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
accuracy	0.4078298930911404	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy	0.7778925304923346	(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64))

Samples

97.0ms	193×	0	valid
59.0ms	63×	1	valid

Compiler

Compiled 423 to 53 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-cos: 46.0ms (35.7% of total)

ival-mult: 35.0ms (27.2% of total)

ival-div: 15.0ms (11.7% of total)

ival-add: 10.0ms (7.8% of total)

adjust: 6.0ms (4.7% of total)

ival-sin: 6.0ms (4.7% of total)

ival-sub: 5.0ms (3.9% of total)

ival-pow: 5.0ms (3.9% of total)

exact: 1.0ms (0.8% of total)

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

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

series63.0ms (0.5%)

Memory

-37.9MiB live, 122.0MiB allocated

Counts

23 → 720

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x)))))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x)))))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1 (/ (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3))) z)) (/ 1 (pow y 2))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2))) (* -1 (/ (pow x 2) (pow y 4)))) (pow z 2))) (/ 1 (pow y 2))) (+ (* -1 (/ x (* (pow y 3) z))) (/ x (* (pow y 3) z)))) (pow z 2)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -1 (/ (+ (* (+ (* -1 (* y z)) (* y z)) (+ (* (pow y 2) (pow z 2)) (pow (+ (* -1 (* y z)) (* y z)) 2))) (* (pow y 2) (* (pow z 2) (+ (* -1 (* y z)) (* y z))))) (pow x 3))) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (/ (* y z) x) (+ (/ (* (pow y 2) (pow z 2)) (pow x 2)) (/ (pow (+ (* -1 (* y z)) (* y z)) 2) (pow x 2))))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -1 (/ (- (+ (/ (* (pow y 2) (pow z 2)) x) (/ (pow (+ (* -1 (* y z)) (* y z)) 2) x)) (+ (* -1 (* y z)) (* y z))) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* (pow y 2) (pow z 2)) (pow (+ (* -1 (* y z)) (* y z)) 2))) x) (/ (* (pow y 2) (* (pow z 2) (+ (* -1 (* y z)) (* y z)))) x)) (+ (* (pow y 2) (pow z 2)) (pow (+ (* -1 (* y z)) (* y z)) 2))) x)) (+ (* -1 (* y z)) (* y z))) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (patch (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) #<representation binary64>) () ())) ())

Calls

180 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(/ 1 (* (+ (* 1/2 (cos (* y -2))) 1/2) (* z (sin y))))
2.0ms	y	@	0	(/ 1 (* (+ (* 1/2 (cos (* y -2))) 1/2) (* z (sin y))))
1.0ms	z	@	inf	(/ 1 (* (+ (* y z) x) (- (* y z) x)))
1.0ms	y	@	inf	(/ 1 (* (+ (* y z) x) (- (* y z) x)))
1.0ms	y	@	-inf	(+ (* (/ 1 (+ (* 1/2 (cos (+ y y))) 1/2)) (pow (/ 1 (* (+ (* 1/2 (cos (* y -2))) 1/2) (* z (sin y)))) -1)) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)))

simplify490.0ms (4.1%)

Memory

57.8MiB live, 479.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 150×	`lower-fma.f64`
6 150×	`lower-fma.f32`
5 760×	`lower-*.f64`
5 760×	`lower-*.f32`
3 312×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1130	11899
1	3919	10647
0	8608	9995

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 703

Calls

Call 1

Inputs
x
(+ x (* y z))
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 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)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* y z)
(* y (+ z (* -7/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -7/6 z) (* 61/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -7/6 z) (* (pow y 2) (+ (* -547/5040 (* (pow y 2) z)) (* 61/120 z)))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(/ (* 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)))
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(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2))) (* -1 (/ (pow x 2) (pow z 4))))) (* y (pow z 2)))) (/ (* (pow x 2) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (* y (pow z 2)))) (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2))) (* -1 (/ (pow x 2) (pow z 4))))) y)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2))
(/ -1 (pow x 2))
(- (* -1 (* z (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3))))) (/ 1 (pow x 2)))
(- (* z (- (* -1 (* z (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3)))) (pow x 2)) (/ (pow y 2) (pow x 4))))) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3))))) (/ 1 (pow x 2)))
(- (* z (- (* z (- (* -1 (* z (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3)))) (pow x 2)) (/ (pow y 2) (pow x 4)))) (pow x 2)) (/ (* (pow y 2) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3)))) (pow x 2))))) (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3)))) (pow x 2)) (/ (pow y 2) (pow x 4))))) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3))))) (/ 1 (pow x 2)))
(/ 1 (* (pow y 2) (pow z 2)))
(/ (+ (* -1 (/ (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3))) z)) (/ 1 (pow y 2))) (pow z 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2))) (* -1 (/ (pow x 2) (pow y 4)))) (pow z 2))) (/ 1 (pow y 2))) (+ (* -1 (/ x (* (pow y 3) z))) (/ x (* (pow y 3) z)))) (pow z 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2))) (* -1 (/ (pow x 2) (pow y 4))))) (pow y 2))) (/ (* (pow x 2) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2))) (pow z 3))) (/ 1 (pow y 2))) (+ (* -1 (/ x (* (pow y 3) z))) (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (* (pow y 2) (pow z 2)))) (+ (* -1 (/ (pow x 2) (* (pow y 4) (pow z 2)))) (/ x (* (pow y 3) z)))))) (pow z 2))
(/ 1 (* (pow y 2) (pow z 2)))
(/ (+ (* -1 (/ x (* (pow y 3) z))) (+ (/ 1 (pow y 2)) (/ x (* (pow y 3) z)))) (pow z 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (* (pow y 2) z))) (* -1 (/ (pow x 2) (* (pow y 4) z)))) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2))) (* -1 (/ (pow x 2) (pow y 4))))) (* (pow y 2) z))) (/ (* (pow x 2) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (* (pow y 2) z))) (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2))) (* -1 (/ (pow x 2) (pow y 4))))) z)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2))
(/ 1 (* (pow y 2) (pow z 2)))
(+ (/ 1 (* (pow y 2) (pow z 2))) (/ (pow x 2) (* (pow y 4) (pow z 4))))
(+ (* (pow x 2) (+ (/ 1 (* (pow y 4) (pow z 4))) (/ (pow x 2) (* (pow y 6) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 2))))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (/ 1 (* (pow y 6) (pow z 6))) (/ (pow x 2) (* (pow y 8) (pow z 8))))) (/ 1 (* (pow y 4) (pow z 4))))) (/ 1 (* (pow y 2) (pow z 2))))
(/ -1 (pow x 2))
(/ (- (* -1 (/ (+ (* -1 (* y z)) (* y z)) x)) 1) (pow x 2))
(/ (- (* -1 (/ (+ (* (pow y 2) (pow z 2)) (pow (+ (* -1 (* y z)) (* y z)) 2)) (pow x 2))) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x)))) (pow x 2))
(/ (- (* -1 (/ (+ (* (+ (* -1 (* y z)) (* y z)) (+ (* (pow y 2) (pow z 2)) (pow (+ (* -1 (* y z)) (* y z)) 2))) (* (pow y 2) (* (pow z 2) (+ (* -1 (* y z)) (* y z))))) (pow x 3))) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (/ (* y z) x) (+ (/ (* (pow y 2) (pow z 2)) (pow x 2)) (/ (pow (+ (* -1 (* y z)) (* y z)) 2) (pow x 2))))))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (+ (* -1 (/ (* y z) x)) (/ (* y z) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (+ (/ (* (pow y 2) (pow z 2)) x) (/ (pow (+ (* -1 (* y z)) (* y z)) 2) x)) (+ (* -1 (* y z)) (* y z))) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* (pow y 2) (pow z 2)) (pow (+ (* -1 (* y z)) (* y z)) 2))) x) (/ (* (pow y 2) (* (pow z 2) (+ (* -1 (* y z)) (* y z)))) x)) (+ (* (pow y 2) (pow z 2)) (pow (+ (* -1 (* y z)) (* y z)) 2))) x)) (+ (* -1 (* y z)) (* y z))) x)) 1) (pow x 2))

Outputs
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* y (- (* -1 x) (* -1/2 x))))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) z) x)
(+ x (* y (+ z (* y (- (+ (* -1 x) (* y (- (* -7/6 z) (* -1 z)))) (* -1/2 x))))))
(fma.f64 y (fma.f64 y (+.f64 (neg.f64 x) (fma.f64 y (.f64 z #s(literal -1/6 binary64)) (.f64 x #s(literal 1/2 binary64)))) z) x)
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
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(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
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(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
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(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64)))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(.f64 z (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 z (cos.f64 y))) (.f64 (sin.f64 y) #s(literal 1 binary64))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(.f64 z (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 z (cos.f64 y))) (.f64 (sin.f64 y) #s(literal 1 binary64))))
(* z (+ (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(.f64 z (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 z (cos.f64 y))) (.f64 (sin.f64 y) #s(literal 1 binary64))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(.f64 z (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (cos.f64 y))) (neg.f64 (sin.f64 y)))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(.f64 z (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (cos.f64 y))) (neg.f64 (sin.f64 y)))))
(* -1 (* z (+ (* -1 (/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (* z (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(.f64 z (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (cos.f64 y))) (neg.f64 (sin.f64 y)))))
(/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 z (.f64 (sin.f64 y) #s(literal 1 binary64)))
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(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+ (* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
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(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))) (.f64 z (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(* x (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (.f64 z (.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (.f64 z (.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))))))
(* x (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (.f64 z (.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) x))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 z x) (neg.f64 (sin.f64 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 z x) (neg.f64 (sin.f64 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))))
(* -1 (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(.f64 (neg.f64 x) (fma.f64 (/.f64 z x) (neg.f64 (sin.f64 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))))
(* y z)
(*.f64 y z)
(* y (+ z (* -7/6 (* (pow y 2) z))))
(.f64 y (fma.f64 #s(literal -7/6 binary64) (.f64 z (*.f64 y y)) z))
(* y (+ z (* (pow y 2) (+ (* -7/6 z) (* 61/120 (* (pow y 2) z))))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 z #s(literal -7/6 binary64) (.f64 (.f64 z (*.f64 y y)) #s(literal 61/120 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -7/6 z) (* (pow y 2) (+ (* -547/5040 (* (pow y 2) z)) (* 61/120 z)))))))
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(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
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(/.f64 #s(literal 1 binary64) (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(- (* -1 (* y (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3))))) (/ 1 (pow x 2)))
(fma.f64 y #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- (* y (- (* -1 (* y (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2)) (/ (pow z 2) (pow x 4))))) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3))))) (/ 1 (pow x 2)))
(fma.f64 y (fma.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 z z) (pow.f64 x #s(literal 4 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- (* y (- (* y (- (* -1 (* y (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2)) (/ (pow z 2) (pow x 4)))) (pow x 2)) (/ (* (pow z 2) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2))))) (+ (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3)))) (pow x 2)) (/ (pow z 2) (pow x 4))))) (+ (* -1 (/ z (pow x 3))) (/ z (pow x 3))))) (/ 1 (pow x 2)))
(fma.f64 y (fma.f64 y (-.f64 (fma.f64 (neg.f64 y) (fma.f64 (.f64 z z) (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (.f64 z z) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x x))) (/.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (.f64 z z) (pow.f64 x #s(literal 4 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/ 1 (* (pow y 2) (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 y z)))
(/ (+ (* -1 (/ (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3))) y)) (/ 1 (pow z 2))) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 #s(literal 0 binary64) y)) (.f64 y y))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2))) (* -1 (/ (pow x 2) (pow z 4)))) (pow y 2))) (/ 1 (pow z 2))) (+ (* -1 (/ x (* y (pow z 3)))) (/ x (* y (pow z 3))))) (pow y 2))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (.f64 x x) (pow.f64 z #s(literal 4 binary64)))) (.f64 y y))) #s(literal 0 binary64)) (*.f64 y y))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2))) (* -1 (/ (pow x 2) (pow z 4))))) (pow z 2))) (/ (* (pow x 2) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2))) (pow y 3))) (/ 1 (pow z 2))) (+ (* -1 (/ x (* y (pow z 3)))) (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (* (pow y 2) (pow z 2)))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 4)))) (/ x (* y (pow z 3))))))) (pow y 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (.f64 z z))) (.f64 z z))) (.f64 y (.f64 y y)))) (-.f64 (+.f64 (-.f64 (/.f64 x (.f64 y (.f64 z (.f64 z z)))) (/.f64 (.f64 x x) (.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 0 binary64) (.f64 (.f64 y z) (.f64 y z)))) (/.f64 x (.f64 y (.f64 z (.f64 z z)))))) (*.f64 y y))
(/ 1 (* (pow y 2) (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 y z)))
(/ (+ (* -1 (/ x (* y (pow z 3)))) (+ (/ 1 (pow z 2)) (/ x (* y (pow z 3))))) (pow y 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (.f64 y (.f64 z (.f64 z z))))) (/.f64 x (.f64 y (.f64 z (.f64 z z))))) (.f64 y y))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (* y (pow z 2)))) (* -1 (/ (pow x 2) (* y (pow z 4))))) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y (.f64 z z))) (/.f64 (.f64 x x) (.f64 y (pow.f64 z #s(literal 4 binary64))))) #s(literal 0 binary64)) y)) (.f64 y y))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2))) (* -1 (/ (pow x 2) (pow z 4))))) (* y (pow z 2)))) (/ (* (pow x 2) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (* y (pow z 2)))) (+ (* -1 (/ (* (+ (* -1 (* x z)) (* x z)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) (pow z 2))) (* -1 (/ (pow x 2) (pow z 4))))) y)) (+ (* -1 (/ x (pow z 3))) (/ x (pow z 3)))) y)) (/ 1 (pow z 2))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 0 binary64) (.f64 y (.f64 z z))) (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (.f64 z z))) (.f64 y (.f64 z z)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 (.f64 x x) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 y)) #s(literal 0 binary64)) y)) (*.f64 y y))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(- (* -1 (* z (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3))))) (/ 1 (pow x 2)))
(fma.f64 z #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- (* z (- (* -1 (* z (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3)))) (pow x 2)) (/ (pow y 2) (pow x 4))))) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3))))) (/ 1 (pow x 2)))
(fma.f64 z (fma.f64 (neg.f64 z) (+.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(- (* z (- (* z (- (* -1 (* z (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3)))) (pow x 2)) (/ (pow y 2) (pow x 4)))) (pow x 2)) (/ (* (pow y 2) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3)))) (pow x 2))))) (+ (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3)))) (pow x 2)) (/ (pow y 2) (pow x 4))))) (+ (* -1 (/ y (pow x 3))) (/ y (pow x 3))))) (/ 1 (pow x 2)))
(fma.f64 z (fma.f64 z (-.f64 (fma.f64 (neg.f64 z) (fma.f64 (.f64 y y) (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) (.f64 x x))) (.f64 x x))) (/.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/ 1 (* (pow y 2) (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 y z)))
(/ (+ (* -1 (/ (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3))) z)) (/ 1 (pow y 2))) (pow z 2))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 z z))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2))) (* -1 (/ (pow x 2) (pow y 4)))) (pow z 2))) (/ 1 (pow y 2))) (+ (* -1 (/ x (* (pow y 3) z))) (/ x (* (pow y 3) z)))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (.f64 z z))) #s(literal 0 binary64)) (*.f64 z z))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2))) (* -1 (/ (pow x 2) (pow y 4))))) (pow y 2))) (/ (* (pow x 2) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2))) (pow z 3))) (/ 1 (pow y 2))) (+ (* -1 (/ x (* (pow y 3) z))) (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (* (pow y 2) (pow z 2)))) (+ (* -1 (/ (pow x 2) (* (pow y 4) (pow z 2)))) (/ x (* (pow y 3) z)))))) (pow z 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (.f64 y y)) (/.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) (.f64 y y))) (.f64 z (.f64 z z)))) (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 y z) (.f64 y z))) (-.f64 (/.f64 x (.f64 z (.f64 y (.f64 y y)))) (/.f64 (.f64 x x) (.f64 (.f64 z z) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 x (.f64 z (.f64 y (.f64 y y)))))) (.f64 z z))
(/ 1 (* (pow y 2) (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 y z)))
(/ (+ (* -1 (/ x (* (pow y 3) z))) (+ (/ 1 (pow y 2)) (/ x (* (pow y 3) z)))) (pow z 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 x (.f64 z (.f64 y (.f64 y y))))) (/.f64 x (.f64 z (.f64 y (.f64 y y))))) (.f64 z z))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (* (pow y 2) z))) (* -1 (/ (pow x 2) (* (pow y 4) z)))) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 z (.f64 y y))) (/.f64 (.f64 x x) (.f64 z (pow.f64 y #s(literal 4 binary64))))) #s(literal 0 binary64)) z)) (.f64 z z))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2))) (* -1 (/ (pow x 2) (pow y 4))))) (* (pow y 2) z))) (/ (* (pow x 2) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (* (pow y 2) z))) (+ (* -1 (/ (* (+ (* -1 (* x y)) (* x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) (pow y 2))) (* -1 (/ (pow x 2) (pow y 4))))) z)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 3)))) z)) (/ 1 (pow y 2))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (.f64 z (.f64 y y))) (/.f64 (.f64 (.f64 x x) #s(literal 0 binary64)) (.f64 z (.f64 y y)))) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 z)) #s(literal 0 binary64)) z)) (.f64 z z))
(/ 1 (* (pow y 2) (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 y z)))
(+ (/ 1 (* (pow y 2) (pow z 2))) (/ (pow x 2) (* (pow y 4) (pow z 4))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (.f64 y z))) (/.f64 (.f64 x x) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(+ (* (pow x 2) (+ (/ 1 (* (pow y 4) (pow z 4))) (/ (pow x 2) (* (pow y 6) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 2))))
(fma.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (.f64 x x) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 y z))))
(+ (* (pow x 2) (+ (* (pow x 2) (+ (/ 1 (* (pow y 6) (pow z 6))) (/ (pow x 2) (* (pow y 8) (pow z 8))))) (/ 1 (* (pow y 4) (pow z 4))))) (/ 1 (* (pow y 2) (pow z 2))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 (.f64 x x) (.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 z #s(literal 8 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 y z))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -1 (/ (+ (* -1 (* y z)) (* y z)) x)) 1) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ (* (pow y 2) (pow z 2)) (pow (+ (* -1 (* y z)) (* y z)) 2)) (pow x 2))) (+ 1 (+ (* -1 (/ (* y z) x)) (/ (* y z) x)))) (pow x 2))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 y z) (.f64 y z) #s(literal 0 binary64)) (neg.f64 (.f64 x x))) #s(literal -1 binary64)) (.f64 x x))
(/ (- (* -1 (/ (+ (* (+ (* -1 (* y z)) (* y z)) (+ (* (pow y 2) (pow z 2)) (pow (+ (* -1 (* y z)) (* y z)) 2))) (* (pow y 2) (* (pow z 2) (+ (* -1 (* y z)) (* y z))))) (pow x 3))) (+ 1 (+ (* -1 (/ (* y z) x)) (+ (/ (* y z) x) (+ (/ (* (pow y 2) (pow z 2)) (pow x 2)) (/ (pow (+ (* -1 (* y z)) (* y z)) 2) (pow x 2))))))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) (/.f64 (.f64 z z) (.f64 x x)) (/.f64 #s(literal 0 binary64) (.f64 x x))))) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (+ (* -1 (/ (* y z) x)) (/ (* y z) x)) 1) (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -1 (/ (- (+ (/ (* (pow y 2) (pow z 2)) x) (/ (pow (+ (* -1 (* y z)) (* y z)) 2) x)) (+ (* -1 (* y z)) (* y z))) x)) 1) (pow x 2))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 z z) x) (+.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) (neg.f64 x)) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ (* -1 (* y z)) (* y z)) (+ (* (pow y 2) (pow z 2)) (pow (+ (* -1 (* y z)) (* y z)) 2))) x) (/ (* (pow y 2) (* (pow z 2) (+ (* -1 (* y z)) (* y z)))) x)) (+ (* (pow y 2) (pow z 2)) (pow (+ (* -1 (* y z)) (* y z)) 2))) x)) (+ (* -1 (* y z)) (* y z))) x)) 1) (pow x 2))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 (.f64 z z) #s(literal 0 binary64)) x) (/.f64 #s(literal 0 binary64) x)) (fma.f64 (.f64 y z) (.f64 y z) #s(literal 0 binary64))) (neg.f64 x)) #s(literal 0 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (.f64 x x))

rewrite524.0ms (4.3%)

Memory

-15.2MiB live, 457.6MiB allocated

Rules

6 536×	`lower-*.f32`
6 518×	`lower-*.f64`
4 556×	`lower-fma.f32`
4 548×	`lower-fma.f64`
3 104×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	427
0	98	366
1	388	301
2	3041	297
0	9606	285

Stop Event

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

Counts

23 → 792

Calls

Call 1

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

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

eval421.0ms (3.5%)

Memory: 26.3MiB live, 535.5MiB allocated
Compiler: Compiled 63 894 to 3 918 computations (93.9% saved)

prune460.0ms (3.8%)

Memory

-23.1MiB live, 683.3MiB allocated

Pruning

55 alts after pruning (48 fresh and 7 done)

	Pruned	Kept	Total
New	1 849	17	1 866
Fresh	4	31	35
Picked	3	2	5
Done	1	5	6
Total	1 857	55	1 912

Accuracy

100.0%

Counts

1 912 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
	76.1%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
✓	41.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
	59.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
	19.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 y z)))))
	19.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z))))))
	18.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 z (.f64 y y)) #s(literal 1/120 binary64) (*.f64 z #s(literal -1/6 binary64))) z))))))
	19.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (.f64 (.f64 z (.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))))))
	31.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) x))))
✓	36.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/.f64 #s(literal 1 binary64) x)))
	37.9%	(.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 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	86.2%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (/.f64 (sin.f64 y) x) (.f64 z x) (.f64 x (cos.f64 y))))
	51.5%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) y) (.f64 x #s(literal -1/2 binary64))) z) x))
	51.3%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) z) x))
	87.5%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
	41.9%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (sin.f64 y)))
	72.0%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x (fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (.f64 z (/.f64 (sin.f64 y) x)))))
	86.0%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))))
	46.0%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
	32.7%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
	32.6%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (*.f64 z (/.f64 (sin.f64 y) x)))))
✓	36.8%	#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
✓	52.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	31.9%	#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))))
	24.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (.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))))
	31.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) z) y (/.f64 x (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))))))
	22.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (-.f64 (.f64 y z) x) (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))))
	30.1%	#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) (fma.f64 (.f64 (.f64 y z) z) y (*.f64 (neg.f64 x) x))) (fma.f64 y z x))))
	31.9%	#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) (fma.f64 (.f64 (.f64 y z) y) z (*.f64 (neg.f64 x) x))) (fma.f64 y z x))))
	27.2%	#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 #s(approx (+ ( y z) x) (neg.f64 (.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) (-.f64 (.f64 y z) x))) (fma.f64 y z x))))
	12.2%	#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) #s(approx (* (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 y y) (-.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) y)) y))))) (fma.f64 y z x))))
	22.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y z x))))
	20.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 #s(approx (/ 1 (* (+ (* y z) x) (- (* y z) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 y z x))))
	14.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (/ 1 (- ( y z) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))))
	22.5%	#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))))
	31.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (.f64 y z))) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
	34.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
	13.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 z (.f64 y (.f64 z y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
	22.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
✓	59.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
	34.2%	#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 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	34.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
	34.4%	#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)))))
	46.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) x)))
	47.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z (+.f64 y (/.f64 x z)))))
	42.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
✓	19.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
	50.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (* (+ (* y z) x) (- (* y z) x)) (* (/ 1 (* (+ (* y z) x) (- (* y z) x))) (+ (* y z) x))) (fma.f64 x (/.f64 (*.f64 y z) x) x)))
	34.2%	#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)))
	34.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) x)))
	34.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 x y) (.f64 #s(literal -1/2 binary64) y) x)))
	77.7%	#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 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x #s(approx (+ (* 1/2 (cos (* y -2))) 1/2) #s(literal 1 binary64))) (cos.f64 y))))
	59.1%	#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 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	59.2%	#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))))
	87.4%	#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))))))) #s(approx (+ (* (/ 1 (+ (* 1/2 (cos (+ y y))) 1/2)) (pow (/ 1 (* (+ (* 1/2 (cos (* y -2))) 1/2) (* z (sin y)))) -1)) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) (.f64 z (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 z (cos.f64 y))) (.f64 (sin.f64 y) #s(literal 1 binary64))))))

Compiler

Compiled 2 947 to 895 computations (69.6% saved)

regimes132.0ms (1.1%)

Memory

-18.1MiB live, 183.8MiB allocated

Counts

91 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 x y) (.f64 #s(literal -1/2 binary64) 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 (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* 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 (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z (+.f64 y (/.f64 x z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (* (+ (* y z) x) (- (* y z) x)) (* (/ 1 (* (+ (* y z) x) (- (* y z) x))) (+ (* y z) x))) (fma.f64 x (/.f64 (*.f64 y z) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (*.f64 y (/.f64 z x)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* 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 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 y z)))))
#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 (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin 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 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) y) (.f64 x #s(literal -1/2 binary64))) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y 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))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) 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 (.f64 y 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 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 z (.f64 y (.f64 z 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 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y (.f64 y z)))) (-.f64 x (*.f64 y z))))
#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) 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))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 #s(approx (/ 1 (* (+ (* y z) x) (- (* y z) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 z (.f64 y y)) #s(literal 1/120 binary64) (*.f64 z #s(literal -1/6 binary64))) z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y z) y) z (*.f64 (neg.f64 x) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y z) z) y (*.f64 (neg.f64 x) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (.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) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (.f64 (.f64 z (.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 x x) (+.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 z z) (neg.f64 x)) #s(literal 0 binary64)) (neg.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (.f64 y z))) (-.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 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( y z) x) (neg.f64 (.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) (-.f64 (.f64 y z) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (-.f64 (.f64 y z) x) (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 z (.f64 y (.f64 y z))) (.f64 y (.f64 z x)))) (fma.f64 (.f64 y z) (.f64 z (.f64 y (.f64 y z))) (.f64 x (*.f64 x x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 y y) (-.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) y)) y))))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) z) y (/.f64 x (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 y z x) (.f64 y (.f64 z (*.f64 y z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (sin.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (*.f64 z (/.f64 (sin.f64 y) x)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) (cos.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) 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 (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 (* (/ 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 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 (/.f64 (sin.f64 y) x) (.f64 z x) (.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 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))))))) #s(approx (+ (* (/ 1 (+ (* 1/2 (cos (+ y y))) 1/2)) (pow (/ 1 (* (+ (* 1/2 (cos (* y -2))) 1/2) (* z (sin y)))) -1)) (/ (* x (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y))) (.f64 z (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 z (cos.f64 y))) (.f64 (sin.f64 y) #s(literal 1 binary64))))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x (fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (.f64 z (/.f64 (sin.f64 y) x)))))
(.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 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.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 (exp.f64 (log.f64 (.f64 x (cos.f64 y)))) (.f64 z (sin.f64 y)))
(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 #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 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (neg.f64 (/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z))))
(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 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)))) (fma.f64 (neg.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 #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)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(.f64 (/.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 (*.f64 z (sin.f64 y)) (sin.f64 y)) 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 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x #s(approx (+ (* 1/2 (cos (* y -2))) 1/2) #s(literal 1 binary64))) (cos.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))))))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
#s(approx (* (/ 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 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))))
(fma.f64 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)))))))
(.f64 (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))) (/.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 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 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 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 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

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

Calls

4 calls:

44.0ms	y
29.0ms	z
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)

regimes129.0ms (1.1%)

Memory

17.6MiB live, 171.3MiB allocated

Counts

62 → 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 (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 x y) (.f64 #s(literal -1/2 binary64) 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 (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* 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 (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z (+.f64 y (/.f64 x z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (* (+ (* y z) x) (- (* y z) x)) (* (/ 1 (* (+ (* y z) x) (- (* y z) x))) (+ (* y z) x))) (fma.f64 x (/.f64 (*.f64 y z) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (*.f64 y (/.f64 z x)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* 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 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 y z)))))
#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 (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin 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 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) y) (.f64 x #s(literal -1/2 binary64))) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y 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))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) 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 (.f64 y 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 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 z (.f64 y (.f64 z 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 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y (.f64 y z)))) (-.f64 x (*.f64 y z))))
#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) 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))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 #s(approx (/ 1 (* (+ (* y z) x) (- (* y z) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 z (.f64 y y)) #s(literal 1/120 binary64) (*.f64 z #s(literal -1/6 binary64))) z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y z) y) z (*.f64 (neg.f64 x) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y z) z) y (*.f64 (neg.f64 x) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (.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) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (.f64 (.f64 z (.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 x x) (+.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 z z) (neg.f64 x)) #s(literal 0 binary64)) (neg.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (.f64 y z))) (-.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 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( y z) x) (neg.f64 (.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) (-.f64 (.f64 y z) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (-.f64 (.f64 y z) x) (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 z (.f64 y (.f64 y z))) (.f64 y (.f64 z x)))) (fma.f64 (.f64 y z) (.f64 z (.f64 y (.f64 y z))) (.f64 x (*.f64 x x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 y y) (-.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) y)) y))))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) z) y (/.f64 x (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 y z x) (.f64 y (.f64 z (*.f64 y z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (sin.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 z (sin.f64 y)))
(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (*.f64 z (/.f64 (sin.f64 y) x)))))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))

Outputs

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

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

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

Calls

4 calls:

49.0ms	y
38.0ms	x
19.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
19.0ms	z

Results

Accuracy	Segments	Branch
86.0%	3	`x`
76.1%	1	`y`
89.1%	3	`z`
76.1%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes77.0ms (0.6%)

Memory

3.4MiB live, 199.7MiB allocated

Counts

56 → 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 (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 x y) (.f64 #s(literal -1/2 binary64) 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 (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* 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 (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z (+.f64 y (/.f64 x z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (* (+ (* y z) x) (- (* y z) x)) (* (/ 1 (* (+ (* y z) x) (- (* y z) x))) (+ (* y z) x))) (fma.f64 x (/.f64 (*.f64 y z) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (*.f64 y (/.f64 z x)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* 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 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 y z)))))
#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 (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin 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 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) y) (.f64 x #s(literal -1/2 binary64))) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y 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))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) 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 (.f64 y 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 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 z (.f64 y (.f64 z 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 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y (.f64 y z)))) (-.f64 x (*.f64 y z))))
#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) 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))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 #s(approx (/ 1 (* (+ (* y z) x) (- (* y z) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 z (.f64 y y)) #s(literal 1/120 binary64) (*.f64 z #s(literal -1/6 binary64))) z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y z) y) z (*.f64 (neg.f64 x) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y z) z) y (*.f64 (neg.f64 x) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (.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) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (.f64 (.f64 z (.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 x x) (+.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 z z) (neg.f64 x)) #s(literal 0 binary64)) (neg.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (.f64 y z))) (-.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 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( y z) x) (neg.f64 (.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) (-.f64 (.f64 y z) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (-.f64 (.f64 y z) x) (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 z (.f64 y (.f64 y z))) (.f64 y (.f64 z x)))) (fma.f64 (.f64 y z) (.f64 z (.f64 y (.f64 y z))) (.f64 x (*.f64 x x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 y y) (-.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) y)) y))))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) z) y (/.f64 x (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 y z x) (.f64 y (.f64 z (*.f64 y z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 z (sin.f64 y)))

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

Calls

4 calls:

20.0ms	z
19.0ms	x
18.0ms	y
17.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
77.9%	4	`y`
59.3%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
79.0%	5	`x`
78.2%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes42.0ms (0.3%)

Memory

-21.4MiB live, 94.8MiB 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 (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 x y) (.f64 #s(literal -1/2 binary64) 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 (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* 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 (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z (+.f64 y (/.f64 x z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (* (+ (* y z) x) (- (* y z) x)) (* (/ 1 (* (+ (* y z) x) (- (* y z) x))) (+ (* y z) x))) (fma.f64 x (/.f64 (*.f64 y z) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (*.f64 y (/.f64 z x)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* 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 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 y z)))))
#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 (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin 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 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) y) (.f64 x #s(literal -1/2 binary64))) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y 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))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) 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 (.f64 y 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 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 z (.f64 y (.f64 z 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 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y (.f64 y z)))) (-.f64 x (*.f64 y z))))
#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) 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))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 #s(approx (/ 1 (* (+ (* y z) x) (- (* y z) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 z (.f64 y y)) #s(literal 1/120 binary64) (*.f64 z #s(literal -1/6 binary64))) z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y z) y) z (*.f64 (neg.f64 x) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y z) z) y (*.f64 (neg.f64 x) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (.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) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (.f64 (.f64 z (.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 x x) (+.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 z z) (neg.f64 x)) #s(literal 0 binary64)) (neg.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (.f64 y z))) (-.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 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( y z) x) (neg.f64 (.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) (-.f64 (.f64 y z) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (-.f64 (.f64 y z) x) (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 z (.f64 y (.f64 y z))) (.f64 y (.f64 z x)))) (fma.f64 (.f64 y z) (.f64 z (.f64 y (.f64 y z))) (.f64 x (*.f64 x x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 y y) (-.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) y)) y))))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) z) y (/.f64 x (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 y z x) (.f64 y (.f64 z (*.f64 y z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

Outputs

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

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

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

Calls

2 calls:

19.0ms	y
18.0ms	z

Results

Accuracy	Segments	Branch
76.3%	3	`y`
70.4%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes127.0ms (1.1%)

Memory

4.6MiB live, 129.2MiB 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 (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 x y) (.f64 #s(literal -1/2 binary64) 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 (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x y) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* 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 (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z (+.f64 y (/.f64 x z)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (* (+ (* y z) x) (- (* y z) x)) (* (/ 1 (* (+ (* y z) x) (- (* y z) x))) (+ (* y z) x))) (fma.f64 x (/.f64 (*.f64 y z) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (*.f64 y (/.f64 z x)) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 y (*.f64 (/.f64 z x) x) x)))
#s(approx (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (.f64 x #s(approx (+ ( z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* 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 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* y z) x) (*.f64 y z)))))
#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 (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin 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 (+ (* x (cos y)) (* z (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 #s(literal -1/6 binary64) y) (.f64 x #s(literal -1/2 binary64))) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y 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))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64))) 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 (.f64 y 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 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 z (.f64 y (.f64 z 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 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (*.f64 y z))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 z (.f64 y (.f64 y z)))) (-.f64 x (*.f64 y z))))
#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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 z (*.f64 y y)) #s(literal -1/6 binary64) z))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (/.f64 z (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) 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))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 #s(approx (/ 1 (* (+ (* y z) x) (- (* y z) x))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 y z x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 z (.f64 y y)) #s(literal 1/120 binary64) (*.f64 z #s(literal -1/6 binary64))) z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y z) y) z (*.f64 (neg.f64 x) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y z) z) y (*.f64 (neg.f64 x) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (.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) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/120 binary64) (.f64 (.f64 z (.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 x x) (+.f64 (/.f64 (fma.f64 (.f64 y y) (/.f64 (.f64 z z) (neg.f64 x)) #s(literal 0 binary64)) (neg.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (.f64 y z))) (-.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 #s(literal 1 binary64) (-.f64 (.f64 y z) x)) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( y z) x) (neg.f64 (.f64 x (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64))))) (-.f64 (.f64 y z) x))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (-.f64 (.f64 y z) x) (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 z (.f64 y (.f64 y z))) (.f64 y (.f64 z x)))) (fma.f64 (.f64 y z) (.f64 z (.f64 y (.f64 y z))) (.f64 x (*.f64 x x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y z x)) (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x))) (fma.f64 y z x)) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 y y) (-.f64 (.f64 z z) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) y)) y))))) (fma.f64 y z x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) z) y (/.f64 x (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 (.f64 y z) (.f64 y (.f64 z (.f64 y z)))) (.f64 x (.f64 x x)))) (fma.f64 x (fma.f64 y z x) (.f64 y (.f64 z (*.f64 y z))))))

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

Calls

4 calls:

43.0ms	x
42.0ms	z
23.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
15.0ms	y

Results

Accuracy	Segments	Branch
52.6%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
52.6%	1	`z`
52.6%	1	`x`
52.6%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

3 → 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 (/ 1 (/ 1 (+ (* x (cos y)) (* z (sin y))))) (*.f64 x #s(approx (+ (* z (/ (sin y) x)) (cos y)) #s(literal 1 binary64))))

Outputs

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

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

Results

Accuracy	Segments	Branch
36.8%	1	`y`
42.8%	3	`x`
36.8%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
42.9%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

-20.8MiB live, 18.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

2.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
19.3%	1	`y`
19.3%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
19.3%	1	`x`
19.3%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch40.0ms (0.3%)

Memory

9.0MiB live, 86.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	3.5521283771029324e-114	5.5363343519041285e-96
18.0ms	-2.76017922172055e-109	-1.9239224851697928e-112

Samples

27.0ms

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 (39.4% of total)

ival-sin: 6.0ms (33.7% of total)

ival-mult: 4.0ms (22.5% of total)

ival-add: 1.0ms (5.6% of total)

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

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

bsearch43.0ms (0.4%)

Memory

7.9MiB live, 89.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.9403567904523346e+128	1.0174946567755365e+130
23.0ms	-1.841812580108235e+99	-1.114572001737113e+78

Samples

30.0ms

288×

valid

Compiler

Compiled 339 to 230 computations (32.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-cos: 10.0ms (48.3% of total)

ival-sin: 6.0ms (29% of total)

ival-mult: 4.0ms (19.3% of total)

ival-add: 1.0ms (4.8% of total)

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

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

bsearch39.0ms (0.3%)

Memory

13.7MiB live, 50.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.003286720030708855	6.3429254231137016
24.0ms	-32180116774091.9	-0.7092721015647989

Samples

26.0ms

288×

valid

Compiler

Compiled 519 to 320 computations (38.3% saved)

Precisions

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

ival-cos: 9.0ms (47.8% of total)

ival-mult: 4.0ms (21.3% of total)

ival-sin: 4.0ms (21.3% of total)

ival-add: 1.0ms (5.3% of total)

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

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

bsearch23.0ms (0.2%)

Memory

-3.6MiB live, 31.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.0174946567755365e+130	4.617139750270391e+131
4.0ms	-3.0959167508646714e+104	-2.7612268556113162e+104

Samples

17.0ms

144×

valid

Compiler

Compiled 177 to 113 computations (36.2% saved)

Precisions

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

ival-mult: 6.0ms (45.3% of total)

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

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

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

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

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

simplify13.0ms (0.1%)

Memory

-26.5MiB live, 20.5MiB 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	255
1	67	255

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -3384606560206073/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3140015851753681/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -102000000000000002687602952851414048122045144014779192003711156527675454322883713197318078464 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 580000000000000005122680735414077398192178759527898907296904398053591474972345541121721171158954922839149864386484034794250305536 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -3/4 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 3530822107858469/36028797018963968 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 -284999999999999992588795616877794315335431240921446281571250588903259628350713165158400349155297383677952 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 y z))) (if (<=.f64 z #s(literal 42999999999999998384209206213306036657873937444794823257844048355830926815223688825027471245007758572050642985128304392169079177216 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 -3384606560206073/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3140015851753681/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -3384606560206073/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3140015851753681/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -102000000000000002687602952851414048122045144014779192003711156527675454322883713197318078464 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 580000000000000005122680735414077398192178759527898907296904398053591474972345541121721171158954922839149864386484034794250305536 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -102000000000000002687602952851414048122045144014779192003711156527675454322883713197318078464 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 580000000000000005122680735414077398192178759527898907296904398053591474972345541121721171158954922839149864386484034794250305536 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -3/4 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 3530822107858469/36028797018963968 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 -3/4 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3530822107858469/36028797018963968 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 -284999999999999992588795616877794315335431240921446281571250588903259628350713165158400349155297383677952 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 y z))) (if (<=.f64 z #s(literal 42999999999999998384209206213306036657873937444794823257844048355830926815223688825027471245007758572050642985128304392169079177216 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)))

soundness866.0ms (7.2%)

Memory

22.5MiB live, 497.0MiB allocated

Rules

14 080×	`lower-fma.f64`
14 080×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
7 706×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	615	6462
1	2097	6324
2	7626	6308
0	8199	5828
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8386	18
0	93	620
1	295	616
2	892	610
3	2078	604
4	3746	604
5	6389	604
0	8805	554

Stop Event

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

Compiler

Compiled 265 to 126 computations (52.5% saved)

preprocess47.0ms (0.4%)

Memory: -13.4MiB live, 103.8MiB allocated
Compiler: Compiled 282 to 102 computations (63.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.0s (16.6%)

explain168.0ms (1.4%)

preprocess103.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize82.0ms (0.7%)

series8.0ms (0.1%)

simplify420.0ms (3.5%)

rewrite546.0ms (4.5%)

eval53.0ms (0.4%)

prune56.0ms (0.5%)

simplify230.0ms (1.9%)

localize264.0ms (2.2%)

series53.0ms (0.4%)

simplify462.0ms (3.8%)

rewrite489.0ms (4.1%)

eval596.0ms (4.9%)

prune306.0ms (2.5%)

simplify252.0ms (2.1%)

localize578.0ms (4.8%)

series74.0ms (0.6%)

simplify335.0ms (2.8%)

rewrite429.0ms (3.6%)

eval217.0ms (1.8%)

prune302.0ms (2.5%)

simplify232.0ms (1.9%)

localize241.0ms (2%)

series63.0ms (0.5%)

simplify490.0ms (4.1%)

rewrite524.0ms (4.3%)

eval421.0ms (3.5%)

prune460.0ms (3.8%)

regimes132.0ms (1.1%)

regimes129.0ms (1.1%)

regimes77.0ms (0.6%)

regimes42.0ms (0.3%)

regimes127.0ms (1.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch40.0ms (0.3%)

bsearch43.0ms (0.4%)

bsearch39.0ms (0.3%)

bsearch23.0ms (0.2%)

simplify13.0ms (0.1%)

soundness866.0ms (7.2%)

preprocess47.0ms (0.4%)

end0.0ms (0%)

Profiling