Metrics for Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (14.2%)

Memory

-46.9MiB live, 1 768.3MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 928.0ms

ival-sub: 325.0ms (35% of total)

ival-sin: 241.0ms (26% of total)

ival-cos: 231.0ms (24.9% of total)

ival-mult: 121.0ms (13% of total)

ival-true: 7.0ms (0.8% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain164.0ms (1.6%)

Memory

5.0MiB live, 245.0MiB 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

101.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-sin: 57.0ms (73.7% of total)

ival-cos: 11.0ms (14.2% of total)

ival-mult: 7.0ms (9% of total)

ival-sub: 2.0ms (2.6% of total)

ival-true: 1.0ms (1.3% of total)

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

preprocess77.0ms (0.7%)

Memory

34.1MiB live, 68.9MiB allocated

Algorithm

1×	egg-herbie

Rules

210×	`distribute-rgt-in`
208×	`lower-fma.f64`
208×	`lower-fma.f32`
172×	`distribute-lft-neg-in`
172×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	90	84
2	181	84
3	387	84
4	698	84
5	922	84
6	1124	84
7	1200	84
8	1209	84
9	1213	84
0	8	9
0	13	9
1	20	9
2	32	9
3	44	9
4	65	9
5	95	9
6	153	9
7	226	9
8	292	9
9	322	9
10	338	9
0	338	9

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)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval4.0ms (0%)

Memory: -31.3MiB live, 3.2MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify13.0ms (0.1%)

Memory

32.2MiB live, 32.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
144×	`lower-*.f32`
140×	`lower-*.f64`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	226	24
8	292	24
9	322	24
10	338	24
0	338	24

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

localize53.0ms (0.5%)

Memory

-5.2MiB live, 107.5MiB 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 x (cos.f64 y))
accuracy	0.109375	(*.f64 z (sin.f64 y))

Samples

43.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 7.0ms (31% of total)

ival-mult: 7.0ms (31% of total)

ival-sin: 7.0ms (31% of total)

ival-sub: 1.0ms (4.4% of total)

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

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

series11.0ms (0.1%)

Memory

-9.9MiB live, 27.2MiB 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 (* -1 (* 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) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) (patch (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (-.f64 (.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)) (/ (* 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)) (/ (* 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)) (/ (* 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 (* -1 (* 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 (- (* -1/2 (* 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 (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 (+ (* -1 (* z (sin y))) (* 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 (+ (* -1 (* z (sin y))) (* 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 (+ (* -1 (* z (sin y))) (* 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 (* -1 (* 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 (- (/ (* x (cos y)) 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 (- (/ (* x (cos y)) 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 (- (/ (* x (cos y)) 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 (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 (/ (* x (cos y)) z)) (* -1 (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 (/ (* x (cos y)) z)) (* -1 (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 (/ (* x (cos y)) z)) (* -1 (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 (* 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
2.0ms	z	@	-inf	(- (* x (cos y)) (* z (sin y)))
1.0ms	x	@	0	(- (* 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)))
1.0ms	y	@	-inf	(- (* x (cos y)) (* z (sin y)))

simplify283.0ms (2.7%)

Memory

1.8MiB live, 473.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 346×	`lower-fma.f64`
12 346×	`lower-fma.f32`
4 832×	`lower-*.f64`
4 832×	`lower-*.f32`
1 854×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	624
1	292	619
2	847	613
3	2080	607
4	3657	607
5	6290	607
0	8668	586

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

rewrite396.0ms (3.8%)

Memory

-20.2MiB live, 583.0MiB allocated

Rules

10 990×	`lower-fma.f64`
10 990×	`lower-fma.f32`
4 360×	`lower-*.f32`
4 356×	`lower-*.f64`
3 712×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	33	19
2	210	19
3	1966	19
0	8307	19

Stop Event

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

Counts

4 → 228

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

eval38.0ms (0.4%)

Memory: 9.0MiB live, 84.8MiB allocated
Compiler: Compiled 15 404 to 723 computations (95.3% saved)

prune86.0ms (0.8%)

Memory

1.7MiB live, 85.5MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	307	15	322
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	308	15	323

Accuracy

100.0%

Counts

323 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.8%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
	43.7%	(fma.f64 (.f64 (cos.f64 y) (.f64 x x)) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
	63.6%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
▶	99.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
▶	63.6%	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
	43.7%	(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
	38.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 (.f64 x (cos.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 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 (pow.f64 (.f64 x (cos.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)))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (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)))))) #s(literal 2 binary64)))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))
	79.4%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	56.8%	(.f64 (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (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)))))))
	52.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (fma.f64 (.f64 z y) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/2 binary64))) z) y)))
	52.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
▶	54.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
▶	57.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
	44.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))

Compiler

Compiled 1 008 to 420 computations (58.3% saved)

simplify319.0ms (3%)

Memory

4.1MiB live, 196.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(neg.f64 (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	20416	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(-.f64 x (*.f64 z y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	(neg.f64 z)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))

Rules

8 516×	`lower-fma.f32`
8 510×	`lower-fma.f64`
3 434×	`lower-*.f32`
3 420×	`lower-*.f64`
1 140×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	301
0	60	297
1	121	297
2	249	297
3	551	295
4	1471	295
5	3963	285
6	6755	285
0	8059	276

Stop Event

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

Calls

Call 1

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

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

localize217.0ms (2.1%)

Memory

-16.3MiB live, 263.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.3154640697417924	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	1.9880431774993723	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
accuracy	15.665234210095976	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	20.335325513852293	(.f64 (.f64 z z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
accuracy	0.0546875	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
accuracy	0.09765625	(*.f64 x (cos.f64 y))
accuracy	0.16015625	(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))
accuracy	0.2265625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))))
accuracy	0	(cos.f64 y)
accuracy	0.09765625	(*.f64 x (cos.f64 y))
accuracy	27.23302736890563	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
accuracy	0	(*.f64 z y)
accuracy	0.00390625	(-.f64 x (*.f64 z y))
accuracy	29.413187206304215	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy	0	(neg.f64 z)
accuracy	0	(cos.f64 y)
accuracy	0.0546875	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
accuracy	0.09765625	(*.f64 x (cos.f64 y))

Samples

64.0ms	85×	1	valid
60.0ms	128×	0	valid
35.0ms	43×	2	valid

Compiler

Compiled 304 to 33 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-cos: 34.0ms (29% of total)

ival-mult: 22.0ms (18.7% of total)

ival-sin: 16.0ms (13.6% of total)

ival-sub: 13.0ms (11.1% of total)

adjust: 10.0ms (8.5% of total)

ival-div: 10.0ms (8.5% of total)

ival-add: 8.0ms (6.8% of total)

ival-neg: 3.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series73.0ms (0.7%)

Memory

4.4MiB live, 109.9MiB allocated

Counts

17 → 468

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor inf y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor inf y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor inf y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor inf y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor -inf y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor -inf y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor -inf y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor -inf y) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<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 (* z (sin y))) (taylor 0 x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 z y))) (patch #s(approx (- ( x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* z (- (* z (- (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y))) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) z) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))) z) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))) z) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (sin y))) (taylor -inf z) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) z)) (taylor -inf z) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z))) z)) (taylor -inf z) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z))) z)) (taylor -inf z) (#s(alt (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())

Calls

117 calls:

Time	Variable		Point	Expression
6.0ms	z	@	-inf	(/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))
5.0ms	z	@	0	(* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin y)))))
4.0ms	x	@	-inf	(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin y)))))))
3.0ms	y	@	-inf	(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin y)))))))
3.0ms	y	@	inf	(+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin y)))))))

simplify375.0ms (3.6%)

Memory

54.4MiB live, 504.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 884×	`lower-fma.f64`
6 884×	`lower-fma.f32`
6 780×	`lower-*.f64`
6 780×	`lower-*.f32`
3 746×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1011	10184
1	3542	9907
0	8172	9658

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 457

Calls

Call 1

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

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

rewrite548.0ms (5.2%)

Memory

-25.5MiB live, 860.9MiB allocated

Rules

5 232×	`lower-fma.f32`
5 226×	`lower-fma.f64`
4 072×	`lower-/.f32`
4 064×	`lower-/.f64`
4 046×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	199
0	60	161
1	228	137
2	1705	137
0	8524	137

Stop Event

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

Counts

17 → 1 497

Calls

Call 1

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

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

eval438.0ms (4.2%)

Memory: 8.9MiB live, 795.8MiB allocated
Compiler: Compiled 142 581 to 4 271 computations (97% saved)

prune295.0ms (2.8%)

Memory

-0.9MiB live, 574.7MiB allocated

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	2 519	33	2 552
Fresh	9	1	10
Picked	3	2	5
Done	0	0	0
Total	2 531	36	2 567

Accuracy

100.0%

Counts

2 567 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.8%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
▶	39.9%	(fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) (.f64 x (cos.f64 y)))
✓	99.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	79.4%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	35.6%	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) #s(approx (/ (- 1/2 ( 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 y y) x)))))
	53.5%	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	53.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (-.f64 x (*.f64 y z)))))
	57.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (*.f64 x (cos.f64 y)))))
	43.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))))
▶	33.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
	57.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	37.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 #s(literal 1 binary64) x)))
	43.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
	37.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos 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))))
	52.4%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 y (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) y) z) x))
	52.7%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 y (-.f64 (.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (*.f64 y z) #s(literal 1/6 binary64)))) z) x))
▶	91.3%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))
	44.0%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (neg.f64 (*.f64 z (sin.f64 y))))
	54.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	33.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
	33.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
	33.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
✓	57.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
	35.2%	#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)))))
	35.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	35.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))))
▶	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
▶	51.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)))
	48.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	41.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
	19.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
	35.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64) (.f64 x #s(literal -1/2 binary64))) x)))
	57.1%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin 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)))
	28.0%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin y))))))) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (neg.f64 z)))
	57.0%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin 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)))))
	90.5%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (fma.f64 z (/.f64 (sin.f64 y) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (.f64 z (.f64 (sin.f64 y) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (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))))))

Compiler

Compiled 1 270 to 741 computations (41.7% saved)

simplify176.0ms (1.7%)

Memory

22.1MiB live, 137.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	64	(-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z)))
cost-diff	192	(+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))
cost-diff	320	(*.f64 #s(literal 0 binary64) z)
cost-diff	1664	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
cost-diff	0	(/.f64 z (*.f64 x x))
cost-diff	0	(fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
cost-diff	0	(/.f64 (*.f64 y (neg.f64 z)) x)
cost-diff	0	#s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)))
cost-diff	1024	(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
cost-diff	0	(cos.f64 y)
cost-diff	0	(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))
cost-diff	704	(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))

Rules

3 972×	`lower-/.f32`
3 960×	`lower-/.f64`
3 118×	`lower-*.f32`
3 102×	`lower-*.f64`
3 008×	`lower-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	311
0	78	255
1	148	255
2	289	255
3	697	245
4	2025	245
5	4370	245
0	8267	245

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
x
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos.f64 y)
y
(/.f64 (*.f64 z (sin.f64 y)) x)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (-.f64 x (*.f64 y z))))
#s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x))
#s(approx (- x (* z y)) (-.f64 x (*.f64 y z)))
(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
(-.f64 x (*.f64 y z))
x
(/.f64 (*.f64 y (neg.f64 z)) x)
(*.f64 y (neg.f64 z))
y
(neg.f64 z)
z
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
y
(/.f64 z (*.f64 x x))
z
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) x)
(fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) (.f64 x (cos.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(sin.f64 y)
y
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(neg.f64 z)
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z)))
(.f64 z (.f64 z (neg.f64 z)))
#s(literal 0 binary64)
(.f64 z (.f64 z z))
z
(*.f64 z z)
(+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))
(*.f64 z z)
(fma.f64 z z (*.f64 #s(literal 0 binary64) z))
(*.f64 z z)
(*.f64 #s(literal 0 binary64) z)
#s(literal 0 binary64)
(*.f64 x (cos.f64 y))
x
(cos.f64 y)

localize223.0ms (2.1%)

Memory

-20.1MiB live, 134.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) (.f64 x (cos.f64 y)))
accuracy	0.09765625	(.f64 z (.f64 z z))
accuracy	0.09765625	(*.f64 x (cos.f64 y))
accuracy	42.67344974110177	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
accuracy	0.2265625	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
accuracy	4.845029626810074	(fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
accuracy	8.011371284816107	(/.f64 z (*.f64 x x))
accuracy	40.56258161593004	#s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
accuracy	0	#s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x))
accuracy	3.2418944526640416	(/.f64 (*.f64 y (neg.f64 z)) x)
accuracy	5.495296656747914	(fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)
accuracy	29.413187206304215	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)))
accuracy	0.09765625	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy	27.23302736890563	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
accuracy	27.761454925196322	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.00390625	(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
accuracy	0.109375	(*.f64 z (sin.f64 y))
accuracy	1.8284718960652326	(/.f64 (*.f64 z (sin.f64 y)) x)
accuracy	5.560513710683054	(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))

Samples

142.0ms

256×

valid

Compiler

Compiled 249 to 40 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-div: 60.0ms (49.5% of total)

ival-sin: 24.0ms (19.8% of total)

ival-mult: 19.0ms (15.7% of total)

ival-add: 6.0ms (5% of total)

ival-cos: 5.0ms (4.1% of total)

ival-sub: 4.0ms (3.3% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series80.0ms (0.8%)

Memory

18.4MiB live, 54.2MiB allocated

Counts

24 → 648

Calls

Call 1

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

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

Calls

162 calls:

Time	Variable		Point	Expression
7.0ms	z	@	-inf	(* x (- (cos y) (/ (* z (sin y)) x)))
2.0ms	z	@	-inf	(+ (* y (/ z (* x x))) (/ 1 x))
1.0ms	y	@	-inf	(* x (- (cos y) (/ (* z (sin y)) x)))
1.0ms	y	@	inf	(* x (- (cos y) (/ (* z (sin y)) x)))
1.0ms	y	@	0	(/ (* y (neg z)) x)

simplify457.0ms (4.4%)

Memory

11.2MiB live, 169.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 234×	`lower-fma.f64`
8 234×	`lower-fma.f32`
6 592×	`lower-*.f64`
6 592×	`lower-*.f32`
2 158×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	380	5187
1	1238	5144
2	4117	5091
0	8135	4977

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 632

Calls

Call 1

Inputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (- (* -1/2 y) (/ z x))))
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(* -1 (/ (* z (sin y)) x))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* -1 (/ (* z (sin y)) x))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (/ (* 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) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
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(* -1 (* z (sin y)))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
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(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
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(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* y z))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
x
(+ x (* -1 (* y z)))
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(* -1 (* y (+ z (* -1 (/ x y)))))
x
(+ x (* -1 (* y z)))
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(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
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(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
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(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
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(* -1 (* z (sin y)))
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(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
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(* -1 (* x (- (/ (* y z) x) 1)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
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(* -1 (* y z))
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(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
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(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
(* -1 (/ (* y z) x))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* 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)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/ -1 (* z (sin y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(- (* x (- (* -1 (/ (* 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)))) (/ (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 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/ 1 (* x (cos y)))
(* -1 (/ (- (* -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))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -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)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(/ (* y z) (pow x 2))
(* y (+ (/ 1 (* x y)) (/ z (pow x 2))))
(* y (+ (/ 1 (* x y)) (/ z (pow x 2))))
(* y (+ (/ 1 (* x y)) (/ z (pow x 2))))
(/ (* y z) (pow x 2))
(* -1 (* y (- (* -1 (/ z (pow x 2))) (/ 1 (* x y)))))
(* -1 (* y (- (* -1 (/ z (pow x 2))) (/ 1 (* x y)))))
(* -1 (* y (- (* -1 (/ z (pow x 2))) (/ 1 (* x y)))))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(/ (* y z) (pow x 2))
(* z (+ (/ 1 (* x z)) (/ y (pow x 2))))
(* z (+ (/ 1 (* x z)) (/ y (pow x 2))))
(* z (+ (/ 1 (* x z)) (/ y (pow x 2))))
(/ (* y z) (pow x 2))
(* -1 (* z (- (* -1 (/ y (pow x 2))) (/ 1 (* x z)))))
(* -1 (* z (- (* -1 (/ y (pow x 2))) (/ 1 (* x z)))))
(* -1 (* z (- (* -1 (/ y (pow x 2))) (/ 1 (* x z)))))
(/ (* y z) (pow x 2))
(/ (+ x (* y z)) (pow x 2))
(/ (+ x (* y z)) (pow x 2))
(/ (+ x (* y z)) (pow x 2))
(/ 1 x)
(/ (+ 1 (/ (* y z) x)) x)
(/ (+ 1 (/ (* y z) x)) x)
(/ (+ 1 (/ (* y z) x)) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x))
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x))
(* -1 (/ (- (* -1 (/ (* y z) x)) 1) x))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(/ z (pow x 2))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
0
0
0
0
0
0
0
0
0
0
0
0
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(* -1 (pow z 3))
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* y z) x)
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(* 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))
(* 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))
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))

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

rewrite676.0ms (6.4%)

Memory

-122.5MiB live, 442.5MiB allocated

Rules

4 408×	`lower-fma.f32`
4 400×	`lower-fma.f64`
4 220×	`lower-*.f32`
4 204×	`lower-*.f64`
4 148×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	268
0	78	229
1	316	221
2	2551	218
0	9280	215

Stop Event

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

Counts

24 → 693

Calls

Call 1

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

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

eval164.0ms (1.6%)

Memory: -18.9MiB live, 375.8MiB allocated
Compiler: Compiled 28 134 to 2 477 computations (91.2% saved)

prune268.0ms (2.5%)

Memory

-3.9MiB live, 530.0MiB allocated

Pruning

48 alts after pruning (42 fresh and 6 done)

	Pruned	Kept	Total
New	1 316	22	1 338
Fresh	9	20	29
Picked	1	4	5
Done	0	2	2
Total	1 326	48	1 374

Accuracy

100.0%

Counts

1 374 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.4%	(fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) (.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓	99.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	79.4%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	35.6%	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) #s(approx (/ (- 1/2 ( 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 y y) x)))))
	53.5%	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	53.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (-.f64 x (*.f64 y z)))))
▶	57.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (*.f64 x (cos.f64 y)))))
	43.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 x (cos.f64 y) (.f64 (sin.f64 y) z))))
	33.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (fma.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
✓	33.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
	57.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	8.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y z)) x) (.f64 x (/.f64 (.f64 x x) (*.f64 y z))))))
	18.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 (/.f64 (-.f64 (.f64 (.f64 y (/.f64 z (.f64 x x))) (.f64 y z)) #s(literal 1 binary64)) (.f64 x x)) (/.f64 (-.f64 (.f64 y (/.f64 z x)) #s(literal 1 binary64)) x))))
	37.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 #s(literal 1 binary64) x)))
	43.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
	25.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (fma.f64 z (/.f64 y (.f64 x x)) (/.f64 z (.f64 z x))))))
▶	31.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (fma.f64 z (/.f64 y (.f64 x x)) (/.f64 y (.f64 y x))))))
	36.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x))))
	20.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (/.f64 (fma.f64 z y x) (*.f64 x x)))))
	2.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (/.f64 (.f64 z y) (.f64 x x)))))
	52.7%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
	52.4%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 y (-.f64 (.f64 (.f64 x #s(literal -1/2 binary64)) y) z) x))
▶	91.2%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))))
✓	91.3%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))
	88.3%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x)))))
	44.0%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (neg.f64 (*.f64 z (sin.f64 y))))
	54.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	33.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
	33.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
✓	57.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
	35.2%	#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)))))
▶	35.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	35.4%	#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)))))
✓	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	49.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (.f64 x (.f64 y (neg.f64 z))) (/.f64 #s(literal 1 binary64) x) x)))
	44.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (*.f64 x y) (/.f64 (neg.f64 z) x) x)))
✓	51.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)))
	51.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 x (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) x)) x)))
	36.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 y (neg.f64 z)))) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 x (*.f64 y (neg.f64 z))))))))
	27.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (+.f64 x (.f64 (/.f64 x (.f64 y (neg.f64 z))) x)) (.f64 (/.f64 x (.f64 y (neg.f64 z))) #s(literal 1 binary64)))))
▶	19.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (neg.f64 y))))
	41.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
	35.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)))
	35.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 x (.f64 y #s(literal -1/2 binary64))) x)))
	57.1%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin 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)))
	28.0%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin y))))))) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (neg.f64 z)))
	57.0%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin 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)))))
	90.5%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (fma.f64 z (/.f64 (sin.f64 y) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (.f64 z (.f64 (sin.f64 y) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (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))))))

Compiler

Compiled 1 641 to 913 computations (44.4% saved)

simplify211.0ms (2%)

Memory

-7.5MiB live, 187.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	#s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (*.f64 x (cos.f64 y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (*.f64 x (cos.f64 y))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (*.f64 x (cos.f64 y)))))
cost-diff	0	#s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (fma.f64 z (/.f64 y (.f64 x x)) (/.f64 y (.f64 y x))))
cost-diff	0	#s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (fma.f64 z (/.f64 y (.f64 x x)) (/.f64 y (.f64 y x)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (fma.f64 z (/.f64 y (.f64 x x)) (/.f64 y (.f64 y x))))))
cost-diff	320	(/.f64 y (*.f64 y x))
cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 z (neg.f64 y))
cost-diff	0	#s(approx (- x (* z y)) (*.f64 z (neg.f64 y)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (neg.f64 y))))
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))))
cost-diff	704	(*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)))

Rules

4 084×	`lower-*.f32`
4 078×	`lower-fma.f32`
4 070×	`lower-*.f64`
4 070×	`lower-fma.f64`
1 786×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	370
0	78	353
1	148	341
2	262	341
3	480	339
4	699	339
5	1641	339
6	2755	339
7	3924	339
8	5596	339
9	6582	339
10	6944	339
11	7241	339
12	7813	339
13	7839	339
0	8061	339

Stop Event

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

Calls

Call 1

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

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

localize136.0ms (1.3%)

Memory

8.4MiB live, 332.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(*.f64 x (cos.f64 y))
accuracy	0.16015625	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (*.f64 x (cos.f64 y))))
accuracy	0.2265625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (*.f64 x (cos.f64 y)))))
accuracy	27.23302736890563	#s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (*.f64 x (cos.f64 y)))
accuracy	4.370957372360088	(fma.f64 z (/.f64 y (.f64 x x)) (/.f64 y (.f64 y x)))
accuracy	6.2204141839240386	(/.f64 y (*.f64 x x))
accuracy	12.902878060578589	(/.f64 y (*.f64 y x))
accuracy	40.56258161593004	#s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (fma.f64 z (/.f64 y (.f64 x x)) (/.f64 y (.f64 y x)))))
accuracy	0.09765625	(.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
accuracy	0.274778208947704	(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
accuracy	27.23302736890563	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
accuracy	30.304738161333805	#s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy	0	(*.f64 z (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	29.40970746199475	#s(approx (- x (* z y)) (*.f64 z (neg.f64 y)))
accuracy	29.413187206304215	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (neg.f64 y))))
accuracy	0	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))))
accuracy	0.10546875	(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy	0.12109375	(/.f64 (sin.f64 y) x)
accuracy	5.560513710683054	(*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)))

Samples

83.0ms

256×

valid

Compiler

Compiled 231 to 41 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 24.0ms (38.6% of total)

ival-div: 11.0ms (17.7% of total)

ival-sin: 7.0ms (11.3% of total)

ival-add: 6.0ms (9.7% of total)

ival-cos: 5.0ms (8.1% of total)

const: 4.0ms (6.4% of total)

ival-sub: 2.0ms (3.2% of total)

ival-neg: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory

18.0MiB live, 98.1MiB allocated

Counts

24 → 672

Calls

Call 1

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

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

Calls

168 calls:

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

simplify271.0ms (2.6%)

Memory

7.2MiB live, 436.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 970×	`lower-fma.f64`
6 970×	`lower-fma.f32`
6 004×	`lower-*.f64`
6 004×	`lower-*.f32`
2 404×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	6355
1	1157	6219
2	3823	6135
0	8299	5963

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 659

Calls

Call 1

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

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

rewrite400.0ms (3.8%)

Memory

3.2MiB live, 440.8MiB allocated

Rules

4 720×	`lower-*.f32`
4 706×	`lower-*.f64`
4 216×	`lower-/.f32`
4 204×	`lower-/.f64`
3 584×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	338
0	78	323
1	310	311
2	2239	311
0	8662	311

Stop Event

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

Counts

24 → 599

Calls

Call 1

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

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

eval484.0ms (4.6%)

Memory: -19.4MiB live, 294.1MiB allocated
Compiler: Compiled 23 213 to 2 269 computations (90.2% saved)

prune282.0ms (2.7%)

Memory

-15.8MiB live, 639.6MiB allocated

Pruning

56 alts after pruning (47 fresh and 9 done)

	Pruned	Kept	Total
New	1 240	18	1 258
Fresh	8	29	37
Picked	1	4	5
Done	1	5	6
Total	1 250	56	1 306

Accuracy

100.0%

Counts

1 306 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.4%	(fma.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (.f64 #s(literal 0 binary64) z)))) (.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓	99.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	79.4%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	35.6%	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (.f64 z z) #s(approx (/ (- 1/2 ( 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (*.f64 y y) x)))))
	53.5%	(pow.f64 (pow.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	31.0%	(pow.f64 (pow.f64 #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	53.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (-.f64 x (*.f64 z y)))))
✓	57.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (*.f64 x (cos.f64 y)))))
	33.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (fma.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
	57.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	18.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 (/.f64 (-.f64 (.f64 (.f64 y (/.f64 z (.f64 x x))) (.f64 y z)) #s(literal 1 binary64)) (.f64 x x)) (/.f64 (-.f64 (.f64 y (/.f64 z x)) #s(literal 1 binary64)) x))))
	37.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 #s(literal 1 binary64) x)))
	43.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
	20.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x) (.f64 y (/.f64 z (.f64 x x)))))))
	31.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (fma.f64 z (/.f64 (/.f64 y x) x) (/.f64 y (*.f64 y x))))))
	25.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (fma.f64 z (/.f64 y (.f64 x x)) (/.f64 z (.f64 z x))))))
✓	31.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (fma.f64 z (/.f64 y (.f64 x x)) (/.f64 y (.f64 y x))))))
	31.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y x))) (/.f64 y (*.f64 y x))))))
	19.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (/.f64 (fma.f64 (/.f64 y x) x (.f64 y (.f64 (/.f64 y x) z))) (*.f64 x y)))))
	11.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (/.f64 (fma.f64 (.f64 z y) (.f64 x y) (.f64 (.f64 x x) y)) (.f64 (.f64 x x) (*.f64 x y))))))
	36.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (/.f64 (fma.f64 z (/.f64 y x) #s(literal 1 binary64)) x))))
	20.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (/.f64 (fma.f64 z y x) (*.f64 x x)))))
	11.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (/.f64 (fma.f64 z x (.f64 (/.f64 (.f64 x x) y) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 x x) y) x)))))
	2.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (/.f64 (.f64 z y) (.f64 x x)))))
	3.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (.f64 y (/.f64 z (.f64 x x))))))
	31.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) (neg z)) (* x (cos y)))) #s(approx (+ (* y (/ z (* x x))) (/ 1 x)) (.f64 y (+.f64 (/.f64 z (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))))
	82.7%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 (/.f64 (sin.f64 y) x) (.f64 (neg.f64 z) x) (.f64 x (cos.f64 y))))
	52.7%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
	52.4%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
	88.3%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (*.f64 x (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y))))
✓	91.2%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (*.f64 x (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))))
✓	91.3%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))
	46.7%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (.f64 x #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 y (fma.f64 y (fma.f64 (*.f64 z y) (/.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (/.f64 z (neg.f64 x))) #s(literal 1 binary64)))))
	48.3%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (.f64 x #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z (neg.f64 x)) #s(literal 1 binary64)))))
	44.0%	#s(approx (/ 1 (/ 1 (+ (* (sin y) (neg z)) (* x (cos y))))) (neg.f64 (*.f64 z (sin.f64 y))))
	54.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	33.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
	33.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
✓	57.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
	35.2%	#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)))))
	35.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 y (.f64 y #s(literal 1/24 binary64)))) #s(literal 1 binary64)))))
	35.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) #s(approx (+ (* (* y y) 1/24) -1/2) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	3.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) #s(approx (+ ( (* y y) (+ (* (* y y) 1/24) -1/2)) 1) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) (.f64 y y)))))))
✓	37.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	49.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (.f64 x (.f64 y (neg.f64 z))) (/.f64 #s(literal 1 binary64) x) x)))
✓	51.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 x (/.f64 (*.f64 y (neg.f64 z)) x) x)))
	51.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 x (.f64 (.f64 y z) (/.f64 #s(literal -1 binary64) x)) x)))
	36.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 y (neg.f64 z)))) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 x (*.f64 y (neg.f64 z))))))))
	27.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (/.f64 (+.f64 x (.f64 (/.f64 x (.f64 y (neg.f64 z))) x)) (.f64 (/.f64 x (.f64 y (neg.f64 z))) #s(literal 1 binary64)))))
✓	19.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (neg.f64 y))))
	41.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (-.f64 (/.f64 x y) z))))
	35.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 (.f64 y (.f64 y x)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)))
	35.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (fma.f64 y (.f64 x (.f64 y #s(literal -1/2 binary64))) x)))
	57.1%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin 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)))
	28.0%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin y))))))) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (neg.f64 z)))
	90.5%	#s(approx (+ (* x (/ (* x (+ 1/2 (* 1/2 (cos (+ y y))))) (+ (* x (cos y)) (* z (sin y))))) (neg (* (* z z) (/ (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* x (cos y)) (* z (sin y))))))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (fma.f64 z (/.f64 (sin.f64 y) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (.f64 z (.f64 (sin.f64 y) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (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))))))

Compiler

Compiled 2 584 to 878 computations (66% saved)

regimes108.0ms (1%)

Memory

3.2MiB live, 196.1MiB allocated

Counts

89 → 1

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	z
26.0ms	y
25.0ms	x
25.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes76.0ms (0.7%)

Memory

22.3MiB live, 142.7MiB allocated

Counts

63 → 1

Calls

Call 1

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

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes75.0ms (0.7%)

Memory

-21.9MiB live, 136.9MiB allocated

Counts

62 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
87.9%	3	`x`
82.4%	2	`y`
87.2%	3	`z`
79.4%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes75.0ms (0.7%)

Memory

25.9MiB live, 106.8MiB allocated

Counts

57 → 5

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
18.0ms	z
16.0ms	x
16.0ms	y

Results

Accuracy	Segments	Branch
64.5%	4	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
83.7%	5	`y`
74.8%	3	`z`
79.4%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes42.0ms (0.4%)

Memory

-3.1MiB live, 70.9MiB allocated

Counts

55 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

21.0ms	x
18.0ms	y

Results

Accuracy	Segments	Branch
68.1%	3	`x`
74.8%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes75.0ms (0.7%)

Memory

-20.2MiB live, 140.6MiB allocated

Counts

54 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	y
19.0ms	z
17.0ms	x
15.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
54.0%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
54.0%	1	`x`
54.0%	1	`z`
54.0%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
54.0%	1	`y`
54.0%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
54.0%	1	`x`
54.0%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory

-18.4MiB live, 20.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#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 (- x (* z y)) (*.f64 y (neg.f64 z))))

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

Outputs

#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 (- x (* z y)) (*.f64 y (neg.f64 z))))

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

Calls

4 calls:

4.0ms	y
2.0ms	z
2.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	x

Results

Accuracy	Segments	Branch
37.7%	1	`y`
41.2%	3	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
44.7%	3	`x`
42.4%	2	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory

10.8MiB live, 10.8MiB 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))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
37.7%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
37.7%	1	`z`
37.7%	1	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch58.0ms (0.6%)

Memory

2.1MiB live, 45.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	1.1343201858946476e+33	6.3923069053984875e+35
14.0ms	-4.9553729136214744e+86	-7.0977191965043425e+84

Samples

21.0ms

240×

valid

Compiler

Compiled 345 to 239 computations (30.7% saved)

Precisions

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

ival-cos: 5.0ms (33.6% of total)

ival-sin: 5.0ms (33.6% of total)

ival-mult: 3.0ms (20.1% of total)

ival-sub: 1.0ms (6.7% of total)

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

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

bsearch85.0ms (0.8%)

Memory

17.4MiB live, 132.7MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
23.0ms	2.568151477764549e+135	3.012038278172638e+138
14.0ms	4.316521574420629e-6	0.3141201011245898
18.0ms	-9885198.601215344	-0.0037091611966609825
25.0ms	-7.4730030218598e+229	-2.794819674316726e+221

Samples

59.0ms

560×

valid

Compiler

Compiled 869 to 568 computations (34.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sin: 18.0ms (40.5% of total)

ival-cos: 16.0ms (36% of total)

ival-mult: 8.0ms (18% of total)

ival-sub: 2.0ms (4.5% of total)

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

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

bsearch60.0ms (0.6%)

Memory

-13.6MiB live, 29.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
57.0ms	20424.22417415593	1331013.5421646305
1.0ms	-9885198.601215344	-0.0037091611966609825

Samples

53.0ms

112×

valid

Compiler

Compiled 479 to 302 computations (37% saved)

Precisions

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

ival-cos: 44.0ms (88.3% of total)

ival-sin: 4.0ms (8% of total)

ival-mult: 2.0ms (4% of total)

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

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

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

bsearch46.0ms (0.4%)

Memory

-15.7MiB live, 100.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.1874305007522093e-205	1.9147486751523315e-198
24.0ms	-1.8591654446466908e-103	-2.48582809401243e-120

Samples

31.0ms

304×

valid

Compiler

Compiled 376 to 242 computations (35.6% saved)

Precisions

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

ival-mult: 8.0ms (35.7% of total)

ival-cos: 7.0ms (31.2% of total)

ival-sin: 6.0ms (26.7% of total)

ival-sub: 1.0ms (4.5% of total)

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

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

simplify5.0ms (0%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	341

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -200000000000000002926139046134974606194008597572931011855722157433959272850229643182080 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 19199999999999999877381638636699648 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -349999999999999999615865245530785263655435190356873539154956090799395376422637885540527779875053780689885092099451887773471736131364906942021964986957032083926891555693196651928026643970061380169234332203592148322470458294272 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 y #s(literal -5404319552844595/36028797018963968 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) #s(approx (/ 1 (/ 1 (+ ( (sin y) (neg z)) (* x (cos y))))) (fma.f64 y (-.f64 (.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z) x)) (if (<=.f64 y #s(literal 10600000000000000337791562873224582078638656515399836475111699147025824221804515326603823457586545795931283337593266491390061312831651840 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))))
(if (<=.f64 y #s(literal -5404319552844595/36028797018963968 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 21000 binary64)) #s(approx (/ 1 (/ 1 (+ ( (sin y) (neg z)) (* x (cos y))))) (fma.f64 y (-.f64 (.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z) x)) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -4506400090632763/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 5817289496240377/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 y (neg.f64 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))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))

Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -200000000000000002926139046134974606194008597572931011855722157433959272850229643182080 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 19199999999999999877381638636699648 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -349999999999999999615865245530785263655435190356873539154956090799395376422637885540527779875053780689885092099451887773471736131364906942021964986957032083926891555693196651928026643970061380169234332203592148322470458294272 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 y #s(literal -5404319552844595/36028797018963968 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) #s(approx (/ 1 (/ 1 (+ ( (sin y) (neg z)) (* x (cos y))))) (fma.f64 y (-.f64 (.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z) x)) (if (<=.f64 y #s(literal 10600000000000000337791562873224582078638656515399836475111699147025824221804515326603823457586545795931283337593266491390061312831651840 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))))
(if (<=.f64 y #s(literal -5404319552844595/36028797018963968 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 21000 binary64)) #s(approx (/ 1 (/ 1 (+ ( (sin y) (neg z)) (* x (cos y))))) (fma.f64 y (-.f64 (.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal 1/6 binary64)))) z) x)) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 x #s(literal -4506400090632763/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 x #s(literal 5817289496240377/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 y (neg.f64 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))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))

soundness917.0ms (8.7%)

Memory

10.8MiB live, 640.4MiB allocated

Rules

12 346×	`lower-fma.f64`
12 346×	`lower-fma.f32`
10 990×	`lower-fma.f64`
10 990×	`lower-fma.f32`
6 884×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	624
1	292	619
2	847	613
3	2080	607
4	3657	607
5	6290	607
0	8668	586
0	1011	10184
1	3542	9907
0	8172	9658
0	8	19
0	13	19
1	33	19
2	210	19
3	1966	19
0	8307	19
0	35	199
0	60	161
1	228	137
2	1705	137
0	8524	137

Stop Event

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

Compiler

Compiled 388 to 180 computations (53.6% saved)

preprocess126.0ms (1.2%)

Memory: -17.6MiB live, 142.9MiB allocated
Compiler: Compiled 378 to 124 computations (67.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	226	24
8	292	24
9	322	24
10	338	24
0	338	24

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	226	24
8	292	24
9	322	24
10	338	24
0	338	24

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (14.2%)

explain164.0ms (1.6%)

preprocess77.0ms (0.7%)

eval4.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.1%)

localize53.0ms (0.5%)

series11.0ms (0.1%)

simplify283.0ms (2.7%)

rewrite396.0ms (3.8%)

eval38.0ms (0.4%)

prune86.0ms (0.8%)

simplify319.0ms (3%)

localize217.0ms (2.1%)

series73.0ms (0.7%)

simplify375.0ms (3.6%)

rewrite548.0ms (5.2%)

eval438.0ms (4.2%)

prune295.0ms (2.8%)

simplify176.0ms (1.7%)

localize223.0ms (2.1%)

series80.0ms (0.8%)

simplify457.0ms (4.4%)

rewrite676.0ms (6.4%)

eval164.0ms (1.6%)

prune268.0ms (2.5%)

simplify211.0ms (2%)

localize136.0ms (1.3%)

series39.0ms (0.4%)

simplify271.0ms (2.6%)

rewrite400.0ms (3.8%)

eval484.0ms (4.6%)

prune282.0ms (2.7%)

regimes108.0ms (1%)

regimes76.0ms (0.7%)

regimes75.0ms (0.7%)

regimes75.0ms (0.7%)

regimes42.0ms (0.4%)

regimes75.0ms (0.7%)

regimes9.0ms (0.1%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

bsearch58.0ms (0.6%)

bsearch85.0ms (0.8%)

bsearch60.0ms (0.6%)

bsearch46.0ms (0.4%)

simplify5.0ms (0%)

soundness917.0ms (8.7%)

preprocess126.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	226	24
8	292	24
9	322	24
10	338	24
0	338	24