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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (13%)

Memory

38.1MiB live, 1 674.8MiB allocated

Samples

988.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 658.0ms

ival-cos: 281.0ms (42.7% of total)

ival-sin: 194.0ms (29.5% of total)

ival-mult: 112.0ms (17% of total)

ival-sub: 62.0ms (9.4% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain286.0ms (3%)

Memory

13.7MiB live, 248.8MiB 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

47.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-cos: 11.0ms (35.3% of total)

ival-sin: 10.0ms (32.1% of total)

ival-mult: 7.0ms (22.4% of total)

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

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

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

preprocess47.0ms (0.5%)

Memory

21.2MiB live, 63.3MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
178×	`distribute-lft-neg-in`
166×	`associate-r`
148×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	90	84
2	169	84
3	375	84
4	665	84
5	872	84
6	1052	84
7	1105	84
8	1113	84
9	1117	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	223	9
8	282	9
9	311	9
10	327	9
0	327	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)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x))

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune2.0ms (0%)

Memory

-34.3MiB live, 4.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify12.0ms (0.1%)

Memory

25.2MiB live, 25.2MiB 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	223	24
8	282	24
9	311	24
10	327	24
0	327	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)))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)

localize46.0ms (0.5%)

Memory

-2.6MiB live, 36.7MiB 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	0.0859375	(*.f64 x (cos.f64 y))
accuracy	0.1171875	(*.f64 z (sin.f64 y))

Samples

40.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-sin: 21.0ms (67.2% of total)

ival-cos: 5.0ms (16% of total)

ival-mult: 3.0ms (9.6% of total)

ival-sub: 1.0ms (3.2% of total)

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

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

series10.0ms (0.1%)

Memory

13.5MiB live, 13.4MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

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

simplify265.0ms (2.8%)

Memory

-47.2MiB live, 233.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 044×	`lower-fma.f64`
12 044×	`lower-fma.f32`
4 682×	`lower-*.f64`
4 682×	`lower-*.f32`
1 796×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	624
1	292	619
2	840	613
3	2068	607
4	3600	607
5	6269	607
0	8467	586

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite324.0ms (3.4%)

Memory

-0.4MiB live, 308.6MiB allocated

Rules

10 986×	`lower-fma.f64`
10 986×	`lower-fma.f32`
4 356×	`lower-*.f32`
4 352×	`lower-*.f64`
3 866×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	33	19
2	210	19
3	1964	19
0	8379	19

Stop Event

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

Counts

4 → 231

Calls

Call 1

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

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

eval42.0ms (0.4%)

Memory: -0.3MiB live, 108.5MiB allocated
Compiler: Compiled 12 426 to 735 computations (94.1% saved)

prune60.0ms (0.6%)

Memory

-5.9MiB live, 87.2MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	307	18	325
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	307	19	326

Accuracy

99.9%

Counts

326 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.1%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
▶	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
	71.4%	(fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
	84.1%	(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
	56.4%	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
	43.8%	(/.f64 (-.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
	19.7%	(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))))
	23.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	56.3%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y)))
	56.8%	(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))) (.f64 z (sin.f64 y)))
	78.5%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	89.3%	(.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) z) x) (cos.f64 y) (hypot.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (fma.f64 (.f64 (.f64 (sin.f64 y) z) x) (cos.f64 y) (hypot.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))))
	53.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
	53.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
▶	55.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
▶	36.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	64.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 1 015 to 484 computations (52.3% saved)

simplify276.0ms (2.9%)

Memory

38.4MiB live, 220.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 y)
cost-diff	0	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
cost-diff	41664	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
cost-diff	0	(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.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 (cos.f64 y) x)
cost-diff	0	(neg.f64 z)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))

Rules

11 612×	`lower-fma.f32`
11 604×	`lower-fma.f64`
2 576×	`lower-*.f32`
2 566×	`lower-*.f64`
1 358×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	236
0	55	208
1	91	208
2	157	208
3	414	208
4	918	208
5	1741	208
6	3288	208
7	4018	208
8	4365	208
9	4428	208
10	4445	208
11	4446	208
12	4836	208
13	5110	208
14	5150	208
15	5182	208
16	5190	208
17	5190	208
18	5242	208
19	5672	208
20	7715	208
0	8101	208

Stop Event

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

Calls

Call 1

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

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

localize121.0ms (1.3%)

Memory

-3.5MiB live, 335.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
accuracy	0.25390625	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	0.27181625976844204	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	11.909484450362385	(/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
accuracy	0.0859375	(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
accuracy	0.0859375	(*.f64 (cos.f64 y) x)
accuracy	0.12890625	(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy	0.23828125	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
accuracy	0	(sin.f64 y)
accuracy	0	(neg.f64 z)
accuracy	0.1171875	(*.f64 (neg.f64 z) (sin.f64 y))
accuracy	40.7241465838023	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0	(*.f64 z y)
accuracy	0.0078125	(-.f64 x (*.f64 z y))
accuracy	28.659720830219534	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy	0	(neg.f64 z)
accuracy	0	(cos.f64 y)
accuracy	0.0859375	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
accuracy	0.0859375	(*.f64 (cos.f64 y) x)

Samples

88.0ms

256×

valid

Compiler

Compiled 237 to 33 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 26.0ms (42.3% of total)

ival-sin: 7.0ms (11.4% of total)

ival-cos: 6.0ms (9.8% of total)

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

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

ival-add: 4.0ms (6.5% of total)

ival-pow2: 4.0ms (6.5% of total)

ival-sub: 2.0ms (3.3% of total)

ival-neg: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series105.0ms (1.1%)

Memory

-8.3MiB live, 177.7MiB allocated

Counts

19 → 528

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (pow (* (sin y) z) 2) (/ x (+ (* (sin y) z) (* (cos y) x))))
27.0ms	z	@	inf	((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (pow (* (sin y) z) 2) (/ x (+ (* (sin y) z) (* (cos y) x))))
8.0ms	y	@	0	((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (pow (* (sin y) z) 2) (/ x (+ (* (sin y) z) (* (cos y) x))))
6.0ms	z	@	0	((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (pow (* (sin y) z) 2) (/ x (+ (* (sin y) z) (* (cos y) x))))
5.0ms	y	@	inf	((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (pow (* (sin y) z) 2) (/ x (+ (* (sin y) z) (* (cos y) x))))

simplify214.0ms (2.2%)

Memory

11.7MiB live, 301.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 320×	`lower-fma.f64`
8 320×	`lower-fma.f32`
7 042×	`lower-*.f64`
7 042×	`lower-*.f32`
2 914×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	698	6473
1	2340	6174
0	8317	6012

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 515

Calls

Call 1

Inputs
(* 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)
(* -1 z)
(* -1 z)
(* -1 z)
(* 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
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* 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)))
(* -1 (* z (sin y)))
(* -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)))
(+ (* -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))))
(* 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)))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(* (pow z 2) (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(/ 1 (cos y))
(+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))) (/ (sin y) (* x (pow (cos y) 2))))) (/ 1 (cos y)))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 2) (pow (cos y) 3)))))) (/ (sin y) (* x (pow (cos y) 2))))) (/ 1 (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)
(* -1 z)
(* -1 z)
(* -1 z)
(* -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 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* y z)
(* y z)
(* y z)
(* y z)
(* -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 (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin 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 (/ (* 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)))
(* 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)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y)))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y)))
(* z (sin y))
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (sin y) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z)))
(* z (- (+ (sin y) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(/ x (* z (sin y)))
(/ (+ (* -1 (/ (* (pow x 2) (cos y)) (* z (pow (sin y) 2)))) (/ x (sin y))) z)
(/ (- (+ (/ x (sin y)) (/ (* (pow x 3) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ x (sin y))) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (cos y)) (* z (pow (sin y) 2))))) 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)
(* -1 z)
(* -1 z)
(* -1 z)
(* -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))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* y z)
(* y z)
(* y z)
(* y z)
(* -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 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -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 (/ (+ (/ 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 (* 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 (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y)))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y))) (* x (cos y))) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)))))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(* (pow z 2) (pow (sin y) 2))
(/ x (* z (sin y)))
(* -1 (/ (+ (* -1 (/ x (sin y))) (/ (* (pow x 2) (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ x (sin y))) (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* (pow x 2) (cos y)) (pow (sin y) 2))) z))) z))
(* -1 (/ (+ (* -1 (/ x (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 3) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* (pow x 2) (cos y)) (pow (sin y) 2))) z))) 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)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
x
(+ 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
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) 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 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))
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
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
x
(+ x (* -1 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
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)))
(/ (* (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 y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (- (* y (- 1/2 (* -1 (/ (pow z 2) (pow x 2))))) (/ z x))))
(+ 1 (* y (- (* y (- (+ 1/2 (* -1 (* y (+ (* -1/6 (/ z x)) (+ (* 1/2 (/ z x)) (/ (* z (- 1/2 (* -1 (/ (pow z 2) (pow x 2))))) x)))))) (* -1 (/ (pow z 2) (pow x 2))))) (/ z x))))
(+ (* -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)))
(sin y)
(sin y)
(sin y)
(sin y)
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y z)
(* y z)
(* y z)
(* y z)
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -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)))
(+ (* -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 (* 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)))
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y)))))
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(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (.f64 z z) (/.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x))) x))) x)
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (.f64 z z) (/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 5 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x))) (neg.f64 x))) x))) x)
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 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)))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y)))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 x))) x))

rewrite552.0ms (5.8%)

Memory

8.7MiB live, 691.8MiB allocated

Rules

5 432×	`lower-fma.f32`
5 424×	`lower-fma.f64`
4 604×	`lower-/.f32`
4 598×	`lower-/.f64`
4 072×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	169
0	55	141
1	210	141
2	1285	141
0	8504	141

Stop Event

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

Counts

19 → 2 037

Calls

Call 1

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

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

eval870.0ms (9.1%)

Memory: -92.6MiB live, 919.0MiB allocated
Compiler: Compiled 123 189 to 4 235 computations (96.6% saved)

prune112.0ms (1.2%)

Memory

1.5MiB live, 391.8MiB allocated

Pruning

40 alts after pruning (36 fresh and 4 done)

	Pruned	Kept	Total
New	2 795	34	2 829
Fresh	11	2	13
Picked	2	3	5
Done	0	1	1
Total	2 808	40	2 848

Accuracy

100.0%

Counts

2 848 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (neg.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))
	66.4%	(fma.f64 (/.f64 (.f64 (.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
	74.4%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 z z)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
	49.0%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/.f64 (.f64 (.f64 (*.f64 y y) z) z) x))))
▶	97.4%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))))
	78.4%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
✓	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
	56.3%	(fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	56.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
	78.5%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
▶	51.6%	(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
	51.5%	(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))) #s(literal 2 binary64))
	56.4%	(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
	34.8%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) #s(literal -2 binary64)))) (/.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) x)) (.f64 (/.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) x) (.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64)))))
	56.3%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (pow.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
	43.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
	64.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	32.7%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))))
	45.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
▶	36.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	89.3%	(.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) z) x) (cos.f64 y) (hypot.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (fma.f64 (.f64 (.f64 (sin.f64 y) z) x) (cos.f64 y) (hypot.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))))
	53.5%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
	53.7%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
	88.0%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
	93.8%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
	64.6%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (cos.f64 y) x))
▶	55.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
✓	55.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	20.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y)))
✓	36.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	13.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
	13.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
	51.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
	47.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
	38.8%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
▶	14.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
	13.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
	13.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y)))
	13.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))

Compiler

Compiled 1 386 to 925 computations (33.3% saved)

simplify230.0ms (2.4%)

Memory

19.3MiB live, 92.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

2 256×	`lower-fma.f32`
2 248×	`lower-fma.f64`
1 920×	`lower-*.f32`
1 910×	`lower-*.f64`
1 042×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	312
0	80	302
1	124	302
2	188	302
3	324	302
4	572	302
5	1157	302
6	1933	302
7	3252	302
8	3710	302
9	4439	302
10	4555	302
11	4583	302
12	5300	302
13	5630	302
14	5630	302
15	5630	302
16	5630	302
17	5630	302
18	5638	302
19	5678	302
20	5694	302
21	5694	302
0	5694	302

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize150.0ms (1.6%)

Memory

-25.1MiB live, 256.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0.0234375	(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1/2 binary64))
accuracy	0.0390625	(*.f64 (neg.f64 z) (sin.f64 y))
accuracy	0.21941376953688402	(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
accuracy	0.0390625	(*.f64 (sin.f64 y) z)
accuracy	0.09375	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
accuracy	0.12109375	(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
accuracy	20.75398635004007	#s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
accuracy	0	(neg.f64 z)
accuracy	0.08203125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)))
accuracy	0.12501963091014492	(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))
accuracy	15.274858463331453	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
accuracy	0	(*.f64 (neg.f64 y) z)
accuracy	0	(neg.f64 y)
accuracy	15.274858463331453	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
accuracy	16.582189327807725	#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))
accuracy	0.05859375	(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
accuracy	0.0625	(/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
accuracy	0.125	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	15.745114935644386	#s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))

Samples

56.0ms	133×	0	valid
55.0ms	123×	0	invalid

Compiler

Compiled 272 to 43 computations (84.2% saved)

Precisions

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

ival-mult: 22.0ms (28.4% of total)

ival-div: 16.0ms (20.7% of total)

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

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

ival-cos: 6.0ms (7.8% of total)

ival-add: 5.0ms (6.5% of total)

ival-pow2: 5.0ms (6.5% of total)

ival-neg: 3.0ms (3.9% of total)

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

exact: 1.0ms (1.3% of total)

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

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

series70.0ms (0.7%)

Memory

20.6MiB live, 181.9MiB allocated

Counts

23 → 672

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	y	@	-inf	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* (neg z) y) x)) (+ (* (neg z) y) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ -1 (* (sin y) z)) (* (sin y) z) (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (+ (* x (cos y)) (* (neg z) (sin y))) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ x (+ (* (sin y) z) (* (cos y) x))) (neg z) (* (neg z) (sin y)))
9.0ms	z	@	inf	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* (neg z) y) x)) (+ (* (neg z) y) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ -1 (* (sin y) z)) (* (sin y) z) (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (+ (* x (cos y)) (* (neg z) (sin y))) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ x (+ (* (sin y) z) (* (cos y) x))) (neg z) (* (neg z) (sin y)))
5.0ms	y	@	0	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* (neg z) y) x)) (+ (* (neg z) y) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ -1 (* (sin y) z)) (* (sin y) z) (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (+ (* x (cos y)) (* (neg z) (sin y))) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ x (+ (* (sin y) z) (* (cos y) x))) (neg z) (* (neg z) (sin y)))
5.0ms	y	@	inf	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* (neg z) y) x)) (+ (* (neg z) y) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ -1 (* (sin y) z)) (* (sin y) z) (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (+ (* x (cos y)) (* (neg z) (sin y))) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ x (+ (* (sin y) z) (* (cos y) x))) (neg z) (* (neg z) (sin y)))
3.0ms	z	@	0	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (* x (cos y)) (* z (sin y))) (/ 1 (+ (* (neg z) y) x)) (+ (* (neg z) y) x) (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/ -1 (* (sin y) z)) (* (sin y) z) (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (+ (* x (cos y)) (* (neg z) (sin y))) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ x (+ (* (sin y) z) (* (cos y) x))) (neg z) (* (neg z) (sin y)))

simplify211.0ms (2.2%)

Memory

-19.2MiB live, 313.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 174×	`lower-fma.f64`
7 174×	`lower-fma.f32`
6 158×	`lower-*.f64`
6 158×	`lower-*.f32`
3 984×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1068	9113
1	3519	8692
0	8175	8459

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 653

Calls

Call 1

Inputs
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (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
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* 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 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* z (- (/ (* (pow y 2) z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ 1 x))
(+ (* z (- (* z (- (/ (* (pow y 3) z) (pow x 4)) (* -1 (/ (pow y 2) (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ 1 x))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* 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 (* 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 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin 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)))
(sqrt (/ 1 (* x (cos y))))
(+ (sqrt (/ 1 (* x (cos y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))))
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))))))
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 4) (pow (cos y) 4)))) (* -1/2 (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* x (cos y)))))))) (* -1/2 (* (sqrt (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))))))))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(* (pow z 2) (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(/ 1 (cos y))
(+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))) (/ (sin y) (* x (pow (cos y) 2))))) (/ 1 (cos y)))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 2) (pow (cos y) 3)))))) (/ (sin y) (* x (pow (cos y) 2))))) (/ 1 (cos y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y)))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin 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 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* -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 (* y z))
(/ (- (* -1 (/ x (* (pow y 2) z))) (/ 1 y)) z)
(/ (- (* -1 (/ (pow x 2) (* (pow y 3) (pow z 2)))) (+ (/ 1 y) (/ x (* (pow y 2) z)))) z)
(/ (- (* -1 (/ (pow x 3) (* (pow y 4) (pow z 3)))) (+ (/ 1 y) (+ (/ x (* (pow y 2) z)) (/ (pow x 2) (* (pow y 3) (pow z 2)))))) z)
(* -1 (* y z))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* -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 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
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(+ (* -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)))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (neg.f64 (.f64 z z)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y)))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x) #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))

rewrite564.0ms (5.9%)

Memory

11.9MiB live, 289.3MiB allocated

Rules

6 182×	`lower-fma.f32`
6 174×	`lower-fma.f64`
4 038×	`lower-*.f32`
4 028×	`lower-*.f64`
3 950×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	246
0	80	236
1	287	230
2	1654	230
0	8414	230

Stop Event

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

Counts

23 → 1 081

Calls

Call 1

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

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

eval449.0ms (4.7%)

Memory: -31.9MiB live, 265.5MiB allocated
Compiler: Compiled 50 854 to 4 596 computations (91% saved)

prune166.0ms (1.7%)

Memory

5.6MiB live, 165.9MiB allocated

Pruning

48 alts after pruning (42 fresh and 6 done)

	Pruned	Kept	Total
New	1 811	26	1 837
Fresh	15	16	31
Picked	3	2	5
Done	0	4	4
Total	1 829	48	1 877

Accuracy

100.0%

Counts

1 877 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.4%	(fma.f64 (/.f64 (.f64 (.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
	74.4%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 z z)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
▶	99.7%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #s(approx (/ x (+ ( (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))))
	78.4%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
✓	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
	56.3%	(fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	56.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
▶	78.5%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	51.2%	(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/4 binary64)) #s(literal -4 binary64))
	51.5%	(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1 binary64)) #s(literal -2 binary64))
	51.5%	(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))
▶	32.6%	(pow.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal -2 binary64))
	43.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
	64.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	36.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
	36.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
	36.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z)))))
	45.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
✓	36.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
	14.0%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
	36.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) z))))
	13.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	89.3%	(.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) z) x) (cos.f64 y) (hypot.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (fma.f64 (.f64 (.f64 (sin.f64 y) z) x) (cos.f64 y) (hypot.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))))
	51.6%	(.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 x (cos.f64 y))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -3/4 binary64)) #s(literal -1 binary64)))
	53.5%	#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
	53.7%	#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
	93.8%	#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
	88.0%	#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
	64.6%	#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (*.f64 (cos.f64 y) x))
	13.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 (/.f64 x (.f64 (.f64 z z) y)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
	43.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
	10.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 (.f64 y y) z))) (neg.f64 z)))))
✓	55.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	20.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y)))
✓	36.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	13.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
	13.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
	51.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	47.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x z) y) z)))
▶	38.8%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
	10.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y)))) z)))
	10.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) z)))
✓	14.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
	13.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
▶	13.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y)))
	13.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
	78.8%	#s(approx (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (.f64 (-.f64 (-.f64 (cos.f64 y) (/.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (*.f64 (sin.f64 y) z) x)) x))

Compiler

Compiled 1 375 to 1 056 computations (23.2% saved)

simplify251.0ms (2.6%)

Memory

23.0MiB live, 175.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
cost-diff	0	#s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
cost-diff	0	(pow.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal -2 binary64))
cost-diff	0	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
cost-diff	0	(neg.f64 z)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
cost-diff	0	(.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y)))
cost-diff	128	(fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z))
cost-diff	0	(-.f64 (/.f64 x y) z)
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
cost-diff	704	(*.f64 (-.f64 (/.f64 x y) z) y)
cost-diff	0	(cos.f64 y)
cost-diff	0	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
cost-diff	0	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #s(approx (/ x (+ ( (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))))

Rules

6 906×	`lower-fma.f32`
6 898×	`lower-fma.f64`
4 410×	`lower-*.f32`
4 394×	`lower-*.f64`
2 338×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	396
0	90	386
1	150	384
2	274	384
3	607	378
4	1458	372
5	2851	372
6	4008	372
7	7237	372
0	8199	366

Stop Event

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

Calls

Call 1

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

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

localize247.0ms (2.6%)

Memory

10.0MiB live, 282.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(*.f64 (cos.f64 y) x)
accuracy	0.0703125	(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
accuracy	0.18035126953688405	(pow.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal -2 binary64))
accuracy	6.7658255957647615	#s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
accuracy	0	(neg.f64 z)
accuracy	0.01953125	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
accuracy	0.0390625	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
accuracy	11.059241840487806	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.0390625	(fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy	2.4610490014227526	(.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)))
accuracy	12.051881642263156	#s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))
accuracy	20.6334375088531	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y)))
accuracy	0	#s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))
accuracy	0.00390625	(-.f64 (/.f64 x y) z)
accuracy	4.941579067542126	(*.f64 (-.f64 (/.f64 x y) z) y)
accuracy	11.667020061860821	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
accuracy	0.0546875	(/.f64 #s(literal 1 binary64) (cos.f64 y))
accuracy	0.08984375	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	7.12309271208865	#s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))
accuracy	15.745114935644386	#s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))

Samples

126.0ms	145×	0	invalid
63.0ms	111×	0	valid

Compiler

Compiled 292 to 51 computations (82.5% saved)

Precisions

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

ival-mult: 57.0ms (47.2% of total)

ival-add: 17.0ms (14.1% of total)

ival-div: 10.0ms (8.3% of total)

ival-pow: 8.0ms (6.6% of total)

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

const: 6.0ms (5% of total)

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

ival-pow2: 5.0ms (4.1% of total)

ival-sub: 2.0ms (1.7% of total)

ival-sqrt: 2.0ms (1.7% of total)

ival-neg: 2.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series106.0ms (1.1%)

Memory

-20.0MiB live, 80.2MiB allocated

Counts

25 → 648

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #s(approx (/ x (+ ( (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (.f64 (sin.f64 y) z)))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) #<representation:binary64>) () ())
#s(alt (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #<representation:binary64>) () ())
#s(alt (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation:binary64>) () ())
#s(alt (.f64 (-.f64 (/.f64 x y) z) y) (patch (.f64 (-.f64 (/.f64 x y) z) y) #<representation:binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y))) (patch #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))) #<representation:binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)) #<representation:binary64>) () ())
#s(alt (-.f64 (/.f64 x y) z) (patch (-.f64 (/.f64 x y) z) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) (patch (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) #<representation:binary64>) () ())
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) #<representation:binary64>) () ())
#s(alt #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y)) (patch #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y)) #<representation:binary64>) () ())
#s(alt (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (patch (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<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 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation:binary64>) () ())
#s(alt (pow.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))) #s(literal -2 binary64)) (patch (pow.f64 #s(approx (pow (+ ( x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal -2 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))) (patch #s(approx (pow (+ ( x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) #<representation:binary64>) () ())
#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation:binary64>) () ())
#s(alt #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (.f64 (sin.f64 y) z)) (patch #s(approx (/ (pow ( (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) #<representation:binary64>) () ())
#s(alt #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (patch #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (cos.f64 y)) (patch (/.f64 #s(literal 1 binary64) (cos.f64 y)) #<representation:binary64>) () ())
#s(alt (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation:binary64>) () ())

Outputs
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #s(approx (/ x (+ ( (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (.f64 (sin.f64 y) z)))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #s(approx (/ x (+ ( (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (.f64 (sin.f64 y) z)))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #s(approx (/ x (+ ( (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (.f64 (sin.f64 y) z)))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) #<representation:binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #s(approx (/ x (+ ( (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (.f64 (sin.f64 y) z)))) (patch (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (.f64 (-.f64 (/.f64 x y) z) y) (patch (.f64 (-.f64 (/.f64 x y) z) y) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (.f64 (-.f64 (/.f64 x y) z) y) (patch (.f64 (-.f64 (/.f64 x y) z) y) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (.f64 (-.f64 (/.f64 x y) z) y) (patch (.f64 (-.f64 (/.f64 x y) z) y) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (.f64 (-.f64 (/.f64 x y) z) y) (patch (.f64 (-.f64 (/.f64 x y) z) y) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y))) (patch #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y))) (patch #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y))) (patch #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y))) (patch #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)) #<representation:binary64>) () ())) ())
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)) #<representation:binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 z) (#s(alt (-.f64 (/.f64 x y) z) (patch (-.f64 (/.f64 x y) z) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 z) (/ x y)) (taylor 0 z) (#s(alt (-.f64 (/.f64 x y) z) (patch (-.f64 (/.f64 x y) z) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 z) (/ x y)) (taylor 0 z) (#s(alt (-.f64 (/.f64 x y) z) (patch (-.f64 (/.f64 x y) z) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 z) (/ x y)) (taylor 0 z) (#s(alt (-.f64 (/.f64 x y) z) (patch (-.f64 (/.f64 x y) z) #<representation:binary64>) () ())) ())
#s(alt (* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) (taylor 0 z) (#s(alt (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) (patch (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) #<representation:binary64>) () ())) ())
#s(alt (* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) (taylor 0 z) (#s(alt (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) (patch (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) #<representation:binary64>) () ())) ())
#s(alt (* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) (taylor 0 z) (#s(alt (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) (patch (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) #<representation:binary64>) () ())) ())
#s(alt (* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) (taylor 0 z) (#s(alt (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) (patch (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y)) (patch #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y)) #<representation:binary64>) () ())) ())
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#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y))) (patch #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y))) (patch #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y))) (patch #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y))) (patch #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y))) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y z) x) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y z) x) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* y z) x) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (-.f64 (/.f64 x y) z) y)) (patch #s(approx (/ 1 (/ 1 (+ ( (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)) #<representation:binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) z) (patch (-.f64 (/.f64 x y) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) z) (patch (-.f64 (/.f64 x y) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) z) (patch (-.f64 (/.f64 x y) z) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x y) z) (patch (-.f64 (/.f64 x y) z) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y))) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<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 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<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 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<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 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (pow.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))) #s(literal -2 binary64)) (patch (pow.f64 #s(approx (pow (+ ( x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal -2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (pow.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))) #s(literal -2 binary64)) (patch (pow.f64 #s(approx (pow (+ ( x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal -2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (pow.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))) #s(literal -2 binary64)) (patch (pow.f64 #s(approx (pow (+ ( x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal -2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (pow.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))) #s(literal -2 binary64)) (patch (pow.f64 #s(approx (pow (+ ( x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal -2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))) (patch #s(approx (pow (+ ( x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #<representation:binary64>) () ())) ())
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#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin y) 2)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x)))) (patch #s(approx (pow (+ ( x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #<representation:binary64>) () ())) ())
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#s(alt (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) #<representation:binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation:binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (.f64 (cos.f64 y) x) (patch (.f64 (cos.f64 y) x) #<representation:binary64>) () ())) ())
#s(alt (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))) (taylor -inf x) (#s(alt #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (.f64 (sin.f64 y) z)) (patch #s(approx (/ (pow ( (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)) (taylor -inf x) (#s(alt #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (.f64 (sin.f64 y) z)) (patch #s(approx (/ (pow ( (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (.f64 (sin.f64 y) z)) (patch #s(approx (/ (pow ( (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (.f64 (sin.f64 y) z)) (patch #s(approx (/ (pow ( (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) #<representation:binary64>) () ())) ())
#s(alt (/ 1 (cos y)) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (patch #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (patch #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -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))) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (patch #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) (taylor -inf x) (#s(alt #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (patch #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	z	@	inf	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (* (- (/ x y) z) y) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (/ x y) z) (+ (* (* z (+ (* -1/120 (* y y)) 1/6)) (* y y)) (neg z)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* z (+ (* -1/120 (* y y)) 1/6)) (+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt (/ 1 (* (cos y) x))) (* (cos y) x) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ x (+ (* (sin y) z) (* (cos y) x))) (/ 1 (cos y)) (+ (* -1/120 (* y y)) 1/6) (cos y))
21.0ms	x	@	-inf	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (* (- (/ x y) z) y) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (/ x y) z) (+ (* (* z (+ (* -1/120 (* y y)) 1/6)) (* y y)) (neg z)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* z (+ (* -1/120 (* y y)) 1/6)) (+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt (/ 1 (* (cos y) x))) (* (cos y) x) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ x (+ (* (sin y) z) (* (cos y) x))) (/ 1 (cos y)) (+ (* -1/120 (* y y)) 1/6) (cos y))
5.0ms	y	@	inf	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (* (- (/ x y) z) y) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (/ x y) z) (+ (* (* z (+ (* -1/120 (* y y)) 1/6)) (* y y)) (neg z)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* z (+ (* -1/120 (* y y)) 1/6)) (+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt (/ 1 (* (cos y) x))) (* (cos y) x) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ x (+ (* (sin y) z) (* (cos y) x))) (/ 1 (cos y)) (+ (* -1/120 (* y y)) 1/6) (cos y))
5.0ms	y	@	-inf	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (* (- (/ x y) z) y) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (/ x y) z) (+ (* (* z (+ (* -1/120 (* y y)) 1/6)) (* y y)) (neg z)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* z (+ (* -1/120 (* y y)) 1/6)) (+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt (/ 1 (* (cos y) x))) (* (cos y) x) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ x (+ (* (sin y) z) (* (cos y) x))) (/ 1 (cos y)) (+ (* -1/120 (* y y)) 1/6) (cos y))
3.0ms	z	@	0	((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (* (- (/ x y) z) y) (- (* x (cos y)) (* z (sin y))) (/ 1 (/ 1 (+ (* (neg z) y) x))) (- (/ x y) z) (+ (* (* z (+ (* -1/120 (* y y)) 1/6)) (* y y)) (neg z)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* z (+ (* -1/120 (* y y)) 1/6)) (+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt (/ 1 (* (cos y) x))) (* (cos y) x) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ x (+ (* (sin y) z) (* (cos y) x))) (/ 1 (cos y)) (+ (* -1/120 (* y y)) 1/6) (cos y))

simplify269.0ms (2.8%)

Memory

5.3MiB live, 237.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 008×	`lower-fma.f64`
10 008×	`lower-fma.f32`
8 708×	`lower-*.f64`
8 708×	`lower-*.f32`
3 338×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	851	8158
1	2830	7749
0	8592	7503

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 631

Calls

Call 1

Inputs
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* 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
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(/ x y)
(+ (* -1 z) (/ x y))
(+ (* -1 z) (/ x y))
(+ (* -1 z) (/ x y))
(* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* 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)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (+ 1/6 (* -1/120 (pow y 2))))
(* z (+ 1/6 (* -1/120 (pow y 2))))
(* z (+ 1/6 (* -1/120 (pow y 2))))
(* z (+ 1/6 (* -1/120 (pow y 2))))
(* 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)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(sqrt (/ 1 (* x (cos y))))
(+ (sqrt (/ 1 (* x (cos y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))))
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))))))
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 4) (pow (cos y) 4)))) (* -1/2 (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* x (cos y)))))))) (* -1/2 (* (sqrt (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))))))))))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(* (pow z 2) (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(/ 1 (cos y))
(+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))) (/ (sin y) (* x (pow (cos y) 2))))) (/ 1 (cos y)))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 2) (pow (cos y) 3)))))) (/ (sin y) (* x (pow (cos y) 2))))) (/ 1 (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y)))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* -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 (* y z))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* z (+ (* -1 y) (/ x z)))
(* -1 z)
(* z (- (/ x (* y z)) 1))
(* z (- (/ x (* y z)) 1))
(* z (- (/ x (* y z)) 1))
(* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* -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 (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (+ 1/6 (* -1/120 (pow y 2))))
(* z (+ 1/6 (* -1/120 (pow y 2))))
(* z (+ 1/6 (* -1/120 (pow y 2))))
(* z (+ 1/6 (* -1/120 (pow y 2))))
(* -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)
(* -1 z)
(* -1 z)
(* -1 z)
(* -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)))
(* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))
(+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ (sin y) (pow z 7))) (/ (+ (* 1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (* (pow (sin y) 3) (pow (sqrt -1) 2)))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (sqrt -1)))) (+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))))
(* z (sin y))
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))
(* z (- (+ (sin y) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z)))
(* z (- (+ (sin y) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z))))
(/ x (* z (sin y)))
(/ (+ (* -1 (/ (* (pow x 2) (cos y)) (* z (pow (sin y) 2)))) (/ x (sin y))) z)
(/ (- (+ (/ x (sin y)) (/ (* (pow x 3) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (cos y)) (* z (pow (sin y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ x (sin y))) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (cos y)) (* z (pow (sin y) 2))))) z)
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y)))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -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))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ x z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x (* y z))))))
(* -1 (* z (+ 1 (* -1 (/ x (* y z))))))
(* -1 (* z (+ 1 (* -1 (/ x (* y z))))))
(* -1 (* z (+ 1 (* -1 (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2))))))))
(* -1 (* z (+ 1 (* -1 (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2))))))))
(* -1 (* z (+ 1 (* -1 (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2))))))))
(* -1 (* z (+ 1 (* -1 (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2))))))))
(* -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 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (+ 1/6 (* -1/120 (pow y 2))))
(* z (+ 1/6 (* -1/120 (pow y 2))))
(* z (+ 1/6 (* -1/120 (pow y 2))))
(* z (+ 1/6 (* -1/120 (pow y 2))))
(* -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)
(* -1 z)
(* -1 z)
(* -1 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)))))
(* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))
(+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))
(+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ (sin y) z)) (* (sqrt -1) (+ (* -1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (pow (sin y) 3))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4)))))) (* 1/2 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ z (pow (sin y) 5)))))) (pow z 3))) (+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y))) (* x (cos y))) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)))))
(/ x (* z (sin y)))
(* -1 (/ (+ (* -1 (/ x (sin y))) (/ (* (pow x 2) (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ x (sin y))) (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* (pow x 2) (cos y)) (pow (sin y) 2))) z))) z))
(* -1 (/ (+ (* -1 (/ x (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 3) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* (pow x 2) (cos y)) (pow (sin y) 2))) z))) z))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z)))
x
(+ x (* -1 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x))))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
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)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(/ x y)
(/ (+ x (* -1 (* y z))) y)
(/ (+ x (* -1 (* y z))) y)
(/ (+ x (* -1 (* y z))) y)
(* -1 z)
(- (* 1/6 (* (pow y 2) z)) z)
(- (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))) z)
(- (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))) z)
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(* 1/6 z)
(+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))
(+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))
(+ (* -1/120 (* (pow y 2) z)) (* 1/6 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)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
x
(+ 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
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y z))))
(+ (sqrt (/ 1 x)) (* y (+ (* 1/2 (* (sqrt x) (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3)))))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) z)))))
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(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow (cos y) 5))) (* (pow z 2) (pow (sin y) 2)))) (* 1/2 (* (sqrt (/ (cos y) x)) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (* -1/4 (/ (* x (* (pow z 2) (pow (sin y) 2))) (* (pow (cos y) 3) (pow (sqrt -1) 2)))))))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))))
(* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))
(* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x))
(/ 1 (cos y))
(+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))
(+ (* -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)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y)))

Outputs
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y))) z (*.f64 (cos.f64 y) x))
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y))))
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y))) z (*.f64 (cos.f64 y) x))
x
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 z) y x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 z) y x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 z) y x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
x
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 z) y x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 z) y x)
(+ x (* -1 (* y z)))
(fma.f64 (neg.f64 z) y x)
(/ x y)
(/.f64 x y)
(+ (* -1 z) (/ x y))
(-.f64 (/.f64 x y) z)
(+ (* -1 z) (/ x y))
(-.f64 (/.f64 x y) z)
(+ (* -1 z) (/ x y))
(-.f64 (/.f64 x y) z)
(* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) z)
(* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) z)
(* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) z)
(* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) z)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (+ 1/6 (* -1/120 (pow y 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) z)
(* z (+ 1/6 (* -1/120 (pow y 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) z)
(* z (+ 1/6 (* -1/120 (pow y 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) z)
(* z (+ 1/6 (* -1/120 (pow y 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) z)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))
(sqrt (/ 1 (* x (cos y))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))
(+ (sqrt (/ 1 (* x (cos y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal -3/4 binary64) z))) (sqrt.f64 (.f64 (cos.f64 y) x)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))))) z (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))))
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 4) (pow (cos y) 4)))) (* -1/2 (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* x (cos y)))))))) (* -1/2 (* (sqrt (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (cos.f64 y) x))) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -3/4 binary64) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal -3/4 binary64) (sin.f64 y))) (cos.f64 y)) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) z))) z)) z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))))
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(.f64 (.f64 z z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)))
(* (pow z 2) (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y)))))
(.f64 (fma.f64 (neg.f64 (/.f64 z (.f64 x x))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (.f64 z z))
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))) (/ (sin y) (* x (pow (cos y) 2))))) (/ 1 (cos y)))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 x x)) (/.f64 (neg.f64 (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) z (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 2) (pow (cos y) 3)))))) (/ (sin y) (* x (pow (cos y) 2))))) (/ 1 (cos y)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) x))) z (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) z (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(* -1 (* z (sin y)))
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(* z (- (/ (* x (cos y)) z) (sin y)))
(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y)))
(.f64 (fma.f64 (neg.f64 (.f64 x x)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 y) z) z)) (fma.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))) z)
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y)))
(.f64 (fma.f64 (neg.f64 (.f64 x x)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 y) z) z)) (fma.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))) z)
(* -1 (* y z))
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(* z (+ (* -1 y) (/ x z)))
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(* z (+ (* -1 y) (/ x z)))
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(* z (+ (* -1 y) (/ x z)))
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(* -1 (* z (sin y)))
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(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
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(* -1 (* y z))
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(*.f64 (cos.f64 y) x)
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(.f64 (.f64 z z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)))
(/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x)
(/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y))) x)
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (.f64 x x)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)))) x)
(/ (- (+ (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x)
(/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) x)))))) x)
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x)))
(- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 x x)) (/.f64 (neg.f64 (sin.f64 y)) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) z (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))))
(fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (.f64 (.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) x))))))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x)))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x)))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))) (neg.f64 x))
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
(* x (pow (cos y) 2))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
x
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(* -1 (* x (- (/ (* y z) x) 1)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ z x) (/ 1 y))))
(*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (/ z x) (/ 1 y))))
(*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (/ z x) (/ 1 y))))
(*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
(* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) #s(literal -1 binary64))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (cos y) 5)))) (* (pow z 2) (pow (sin y) 2)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (cos.f64 y) #s(literal 5 binary64)))) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (.f64 (sin.f64 y) z))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) #s(literal -1 binary64)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow (cos y) 5))) (* (pow z 2) (pow (sin y) 2)))) (* 1/2 (* (sqrt (/ (cos y) x)) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (* -1/4 (/ (* x (* (pow z 2) (pow (sin y) 2))) (* (pow (cos y) 3) (pow (sqrt -1) 2)))))))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y)))) (* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))))
(-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 5 binary64)))) (.f64 z z))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (cos.f64 y) x))) (fma.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) #s(literal -1 binary64))
(* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) #s(literal -1 binary64))
(* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) #s(literal -1 binary64))
(* (sqrt (/ 1 (* x (cos y)))) (pow (sqrt -1) 2))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) x))) #s(literal -1 binary64))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(* x (cos y))
(*.f64 (cos.f64 y) x)
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))
(.f64 (.f64 z z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (.f64 (.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x))
(/.f64 (neg.f64 (fma.f64 z (.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y))) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)) (/.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x))
(/.f64 (neg.f64 (fma.f64 (.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 5 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x)) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) (neg.f64 x))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 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)))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y)))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x) #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))

rewrite284.0ms (3%)

Memory

-23.8MiB live, 455.5MiB allocated

Rules

7 954×	`lower-fma.f32`
7 946×	`lower-fma.f64`
4 732×	`lower-*.f32`
4 716×	`lower-*.f64`
3 544×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	316
0	90	306
1	347	301
2	2119	301
0	8853	297

Stop Event

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

Counts

25 → 399

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 #s(approx (/ (pow ( (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (.f64 #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x (.f64 #s(literal 1 binary64) #s(approx (/ (pow ( (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) #s(literal -1 binary64)))
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(pow.f64 (pow.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (pow.f64 (.f64 x (cos.f64 y)) #s(literal -1/2 binary64)))) #s(literal -1 binary64) (.f64 (log.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx (pow (+ ( x (cos y)) (* (neg z) (sin y))) -1/2) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx (pow (+ ( x (cos y)) (* (neg z) (sin y))) -1/2) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx (pow (+ ( x (cos y)) (* (neg z) (sin y))) -1/2) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)))) #s(literal -2 binary64)))
#s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)))))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal -1/4 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/4 binary64)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 x (cos.f64 y)))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x (cos.f64 y))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (cos.f64 y)) #s(literal -1/2 binary64)))
(pow.f64 (.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal -1 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 x) (cos.f64 y)))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 (cos.f64 y)))
(/.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) (sqrt.f64 x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 x) (cos.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 y))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 (neg.f64 x) (cos.f64 y)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64)))
(fabs.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (cos.f64 y)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (cos.f64 y))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (cos.f64 y)))) #s(literal 1/2 binary64)))
(.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) (/.f64 x #s(literal 1 binary64)))
(*.f64 (cos.f64 y) x)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (cos.f64 y))) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64))))
(/.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (cos.f64 y)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
#s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
#s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (pow.f64 (cos.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (cos.f64 y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (cos.f64 y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (cos.f64 y))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)))
(exp.f64 (neg.f64 (log.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/1728000 binary64) #s(literal 1/216 binary64)) (pow.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/1728000 binary64) #s(literal 1/216 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (/.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/1728000 binary64) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (.f64 (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/1728000 binary64) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/1728000 binary64) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64))))))
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/1728000 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/1728000 binary64) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/36 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/1728000 binary64) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/1728000 binary64) #s(literal 1/216 binary64))))
(fma.f64 (*.f64 #s(literal -1/120 binary64) y) y #s(literal 1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 y (*.f64 #s(literal -1/120 binary64) y) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))) (/.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 y y) #s(literal -1/120 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))
(+.f64 (.f64 (.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 y y) #s(literal -1/120 binary64)))
#s(approx (cos y) #s(literal 1 binary64))

eval279.0ms (2.9%)

Memory: 37.0MiB live, 344.0MiB allocated
Compiler: Compiled 24 424 to 3 151 computations (87.1% saved)

prune178.0ms (1.9%)

Memory

-6.6MiB live, 209.4MiB allocated

Pruning

55 alts after pruning (47 fresh and 8 done)

	Pruned	Kept	Total
New	1 112	12	1 124
Fresh	2	35	37
Picked	3	2	5
Done	0	6	6
Total	1 117	55	1 172

Accuracy

100.0%

Counts

1 172 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.4%	(fma.f64 (/.f64 (.f64 (.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
	74.4%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 z z)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
	99.1%	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))))
	78.4%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
✓	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
	56.3%	(fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	56.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
✓	78.5%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	54.1%	(fma.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) (neg.f64 z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	51.2%	(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/4 binary64)) #s(literal -4 binary64))
	51.5%	(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))
	32.5%	(pow.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (cos.f64 y))))) #s(literal -2 binary64))
✓	32.6%	(pow.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal -2 binary64))
	43.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
	64.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
	36.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
	36.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
	36.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z)))))
	45.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
✓	36.2%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
	14.0%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
	36.1%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) z))))
	13.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	89.3%	(.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) z) x) (cos.f64 y) (hypot.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (fma.f64 (.f64 (.f64 (sin.f64 y) z) x) (cos.f64 y) (hypot.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))))
	51.6%	(.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 x (cos.f64 y))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -3/4 binary64)) #s(literal -1 binary64)))
	53.5%	#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
	53.7%	#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
	93.8%	#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
	88.0%	#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
	64.6%	#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (*.f64 (cos.f64 y) x))
	43.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
	10.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 (.f64 y y) z))) (neg.f64 z)))))
✓	55.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	20.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y)))
✓	36.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	13.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
	13.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
	51.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	26.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 y x) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 y x))) y)))
	22.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) y (.f64 (+.f64 #s(literal 0 binary64) z) x)) (.f64 (+.f64 #s(literal 0 binary64) z) y)) y)))
	47.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x z) y) z)))
	28.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 #s(approx (- (/ x y) z) (/.f64 x y)) y)))
	33.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 #s(approx (- (/ x y) z) (.f64 (-.f64 (/.f64 (/.f64 x y) z) #s(literal 1 binary64)) z)) y)))
	34.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 #s(approx (- (/ x y) z) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)) x)) y)))
	10.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y)))) z)))
	10.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) z)))
✓	14.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
	13.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
	13.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (.f64 z (.f64 y y)) (neg.f64 z)) y)))
	6.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 #s(approx ( z (+ (* -1/120 (* y y)) 1/6)) (.f64 (.f64 (fma.f64 (/.f64 z (.f64 y y)) #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) z)) y) y)) (*.f64 y y) (neg.f64 z)) y)))
	13.8%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 #s(approx ( z (+ (* -1/120 (* y y)) 1/6)) (.f64 (.f64 (.f64 y y) z) #s(literal -1/120 binary64))) (.f64 y y) (neg.f64 z)) y)))
	13.8%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) z) y)))
	13.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
	78.8%	#s(approx (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (.f64 (-.f64 (-.f64 (cos.f64 y) (/.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (*.f64 (sin.f64 y) z) x)) x))

Compiler

Compiled 2 519 to 1 087 computations (56.8% saved)

regimes190.0ms (2%)

Memory

1.8MiB live, 158.4MiB allocated

Counts

91 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 #s(approx (- (/ x y) z) (/.f64 x y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 #s(approx ( z (+ (* -1/120 (* y y)) 1/6)) (.f64 (.f64 (.f64 y y) z) #s(literal -1/120 binary64))) (.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (.f64 z (.f64 y y)) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 #s(approx (- (/ x y) z) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)) x)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 #s(approx (- (/ x y) z) (.f64 (-.f64 (/.f64 (/.f64 x y) z) #s(literal 1 binary64)) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y)))) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
(fma.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) (neg.f64 z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) y (.f64 (+.f64 #s(literal 0 binary64) z) x)) (.f64 (+.f64 #s(literal 0 binary64) z) y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 #s(approx ( z (+ (* -1/120 (* y y)) 1/6)) (.f64 (.f64 (fma.f64 (/.f64 z (.f64 y y)) #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) z)) y) y)) (*.f64 y y) (neg.f64 z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 (.f64 y y) z))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 (/.f64 x (.f64 (.f64 z z) y)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 y x) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 y x))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (cos.f64 y) x))
#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.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 #s(approx (cos y) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))) (.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z)))))
(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
(pow.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal -2 binary64))
(pow.f64 #s(approx (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (cos.f64 y))))) #s(literal -2 binary64))
#s(approx (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (.f64 (-.f64 (-.f64 (cos.f64 y) (/.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) #s(approx (/ x (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/4 binary64)) #s(literal -4 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))) #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #s(approx (/ x (+ ( (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))))
(fma.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/.f64 (.f64 (.f64 (*.f64 y y) z) z) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))))
(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))))
(.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 x (cos.f64 y))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -3/4 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (pow.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 x (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (neg.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))
(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 z z)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))
(fma.f64 (/.f64 (.f64 (.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))))
(.f64 (fma.f64 (.f64 (.f64 (sin.f64 y) z) x) (cos.f64 y) (hypot.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (fma.f64 (.f64 (.f64 (sin.f64 y) z) x) (cos.f64 y) (hypot.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))))
(/.f64 (-.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (pow.f64 (.f64 z (sin.f64 y)) #s(literal -2 binary64)))) (/.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) x)) (.f64 (/.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) x) (.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (.f64 (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))))))

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

Calls

4 calls:

59.0ms	z
42.0ms	y
40.0ms	x
25.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes244.0ms (2.5%)

Memory

-5.5MiB live, 111.6MiB allocated

Counts

55 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 #s(approx (- (/ x y) z) (/.f64 x y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x y) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (-.f64 (/.f64 x z) y) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 z x) y #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) z) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 #s(approx ( z (+ (* -1/120 (* y y)) 1/6)) (.f64 (.f64 (.f64 y y) z) #s(literal -1/120 binary64))) (.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) (.f64 z (.f64 y y)) (neg.f64 z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 #s(approx (- (/ x y) z) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)) x)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 #s(approx (- (/ x y) z) (.f64 (-.f64 (/.f64 (/.f64 x y) z) #s(literal 1 binary64)) z)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 y y)))) z)))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))))
(fma.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) (neg.f64 z) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) y (.f64 (+.f64 #s(literal 0 binary64) z) x)) (.f64 (+.f64 #s(literal 0 binary64) z) y)) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) (neg.f64 z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 y x) (/.f64 z x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (fma.f64 #s(approx ( z (+ (* -1/120 (* y y)) 1/6)) (.f64 (.f64 (fma.f64 (/.f64 z (.f64 y y)) #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) z)) y) y)) (*.f64 y y) (neg.f64 z)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 (.f64 y y) z))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (neg z) y) x)) (/.f64 (fma.f64 (/.f64 x (.f64 (.f64 z z) y)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (neg z) y) x))) (.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (/.f64 y x) (.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 y x))) y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (cos.f64 y) x))
#s(approx (pow (pow (+ (* x (cos y)) (* (neg z) (sin y))) -1/2) -2) (*.f64 (cos.f64 y) x))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.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 #s(approx (cos y) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))) (.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z)))))
(-.f64 (.f64 x #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64)))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))

Outputs

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

(-.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 (cos.f64 y) x))

Calls

4 calls:

74.0ms	z
73.0ms	y
16.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
15.0ms	x

Results

Accuracy	Segments	Branch
87.4%	3	`x`
83.3%	2	`y`
87.3%	3	`z`
81.1%	2	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes119.0ms (1.2%)

Memory

9.4MiB live, 88.8MiB allocated

Counts

43 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

75.0ms	x
16.0ms	y
13.0ms	z
12.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
64.6%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
80.8%	3	`y`
77.2%	3	`z`
77.1%	3	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes82.0ms (0.9%)

Memory

-15.7MiB live, 59.9MiB allocated

Counts

42 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

36.0ms	y
31.0ms	x
12.0ms	z

Results

Accuracy	Segments	Branch
70.3%	3	`x`
70.7%	3	`z`
75.5%	3	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes70.0ms (0.7%)

Memory

-11.8MiB live, 109.3MiB allocated

Counts

39 → 1

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	z
14.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
13.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
55.2%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
55.2%	1	`x`
55.2%	1	`z`
55.2%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
14.0%	1	`z`
14.0%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
14.0%	1	`y`
14.0%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch48.0ms (0.5%)

Memory

-22.6MiB live, 63.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	263913603206797220.0	3.320403217779835e+33
15.0ms	-5.9421192471667695e+119	-4.4050175475271485e+117

Samples

35.0ms

272×

valid

Compiler

Compiled 250 to 303 computations (-21.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 14.0ms (48.8% of total)

ival-sin: 7.0ms (24.4% of total)

ival-cos: 6.0ms (20.9% of total)

ival-sub: 1.0ms (3.5% of total)

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

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

bsearch32.0ms (0.3%)

Memory

-4.9MiB live, 32.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	89554.5687355619	76075858.34013847
6.0ms	-0.7582778136657264	-0.44129955643508634

Samples

18.0ms

192×

valid

Compiler

Compiled 208 to 222 computations (-6.7% saved)

Precisions

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

ival-cos: 5.0ms (39% of total)

ival-sin: 5.0ms (39% of total)

ival-mult: 2.0ms (15.6% of total)

ival-sub: 1.0ms (7.8% of total)

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

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

bsearch18.0ms (0.2%)

Memory

3.4MiB live, 42.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	89554.5687355619	76075858.34013847
14.0ms	-0.44129955643508634	-3.100560229305852e-10

Samples

9.0ms

144×

valid

Compiler

Compiled 284 to 303 computations (-6.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (39.3% of total)

ival-sub: 1.0ms (19.6% of total)

ival-cos: 1.0ms (19.6% of total)

ival-sin: 1.0ms (19.6% of total)

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

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

simplify31.0ms (0.3%)

Memory

17.3MiB live, 100.1MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`-commutative-binary64-.f64`
18×	`+-commutative-binary64-+.f64`
18×	`sub-neg-binary64-neg.f64-+.f64--.f64`
10×	`cancel-sign-sub-inv-binary64-neg.f64-+.f64-*.f64--.f64`
10×	`neg-sub0-binary64--.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	204
1	80	204
2	98	204
3	106	204
4	110	204
5	111	204

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -4900000000000000093739144832651626213894204661854171946337231291256785019113467797278052404178739879401516192436846592 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 1500000000000000000000 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 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 90000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -5476377146882523/144115188075855872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 90000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))
(if (<=.f64 x #s(literal -4900000000000000093739144832651626213894204661854171946337231291256785019113467797278052404178739879401516192436846592 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 1500000000000000000000 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 (cos.f64 y) x))))
(if (<=.f64 x #s(literal -4900000000000000093739144832651626213894204661854171946337231291256785019113467797278052404178739879401516192436846592 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 1500000000000000000000 binary64)) (-.f64 (.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (.f64 (sin.f64 y) z)) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 90000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 90000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -5476377146882523/144115188075855872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 90000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -5476377146882523/144115188075855872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 90000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))

soundness627.0ms (6.5%)

Memory

-8.2MiB live, 387.9MiB allocated

Rules

12 044×	`lower-fma.f64`
12 044×	`lower-fma.f32`
8 320×	`lower-fma.f64`
8 320×	`lower-fma.f32`
7 042×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	624
1	292	619
2	840	613
3	2068	607
4	3600	607
5	6269	607
0	8467	586
0	698	6473
1	2340	6174
0	8317	6012

Stop Event

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

Compiler

Compiled 162 to 102 computations (37% saved)

preprocess68.0ms (0.7%)

Memory: 20.0MiB live, 140.3MiB allocated
Compiler: Compiled 232 to 104 computations (55.2% 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	223	24
8	282	24
9	311	24
10	327	24
0	327	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	223	24
8	282	24
9	311	24
10	327	24
0	327	24

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (13%)

explain286.0ms (3%)

preprocess47.0ms (0.5%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify12.0ms (0.1%)

localize46.0ms (0.5%)

series10.0ms (0.1%)

simplify265.0ms (2.8%)

rewrite324.0ms (3.4%)

eval42.0ms (0.4%)

prune60.0ms (0.6%)

simplify276.0ms (2.9%)

localize121.0ms (1.3%)

series105.0ms (1.1%)

simplify214.0ms (2.2%)

rewrite552.0ms (5.8%)

eval870.0ms (9.1%)

prune112.0ms (1.2%)

simplify230.0ms (2.4%)

localize150.0ms (1.6%)

series70.0ms (0.7%)

simplify211.0ms (2.2%)

rewrite564.0ms (5.9%)

eval449.0ms (4.7%)

prune166.0ms (1.7%)

simplify251.0ms (2.6%)

localize247.0ms (2.6%)

series106.0ms (1.1%)

simplify269.0ms (2.8%)

rewrite284.0ms (3%)

eval279.0ms (2.9%)

prune178.0ms (1.9%)

regimes190.0ms (2%)

regimes244.0ms (2.5%)

regimes119.0ms (1.2%)

regimes82.0ms (0.9%)

regimes70.0ms (0.7%)

regimes6.0ms (0.1%)

bsearch48.0ms (0.5%)

bsearch32.0ms (0.3%)

bsearch18.0ms (0.2%)

simplify31.0ms (0.3%)

soundness627.0ms (6.5%)

preprocess68.0ms (0.7%)

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	223	24
8	282	24
9	311	24
10	327	24
0	327	24