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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB 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)

sample1.5s (13.5%)

Memory

33.4MiB live, 1 842.2MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 697.0ms

ival-cos: 312.0ms (44.8% of total)

ival-sin: 196.0ms (28.1% of total)

ival-mult: 139.0ms (19.9% of total)

ival-sub: 40.0ms (5.7% of total)

ival-true: 7.0ms (1% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain95.0ms (0.9%)

Memory

20.4MiB live, 135.8MiB 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

49.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

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

ival-sin: 13.0ms (40.7% of total)

ival-cos: 10.0ms (31.3% of total)

ival-mult: 7.0ms (21.9% of total)

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

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

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

preprocess49.0ms (0.5%)

Memory

2.1MiB live, 43.9MiB 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 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify15.0ms (0.1%)

Memory

-21.0MiB live, 16.9MiB 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)

localize30.0ms (0.3%)

Memory

16.3MiB live, 53.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sin.f64 y)
accuracy	0.015625	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.10546875	(*.f64 x (cos.f64 y))
accuracy	0.1171875	(*.f64 z (sin.f64 y))

Samples

23.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 5.0ms (33.7% of total)

ival-sin: 5.0ms (33.7% of total)

ival-mult: 3.0ms (20.2% of total)

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

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

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

series11.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

5 → 108

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>) () ())
#s(alt (sin.f64 y) (patch (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 y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (- (* 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 (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (- (* 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 (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (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)) (sin y))
1.0ms	z	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	y	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	z	@	-inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	x	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))

simplify200.0ms (1.9%)

Memory

10.7MiB live, 157.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 936×	`lower-fma.f64`
12 936×	`lower-fma.f32`
4 366×	`lower-*.f64`
4 366×	`lower-*.f32`
2 310×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	686
1	339	681
2	933	669
3	2667	663
4	4606	663
5	7371	663
0	8245	636

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

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

rewrite318.0ms (3%)

Memory

-6.8MiB live, 238.3MiB 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	21
0	13	21
1	33	21
2	210	21
3	1964	21
0	8379	21

Stop Event

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

Counts

5 → 232

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))
(sin.f64 y)

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

eval45.0ms (0.4%)

Memory: 11.4MiB live, 113.8MiB allocated
Compiler: Compiled 15 668 to 728 computations (95.4% saved)

prune57.0ms (0.5%)

Memory

-7.2MiB live, 162.1MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	322	15	337
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	323	15	338

Accuracy

99.9%

Counts

338 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.5%	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
	41.2%	(fma.f64 (.f64 (.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
▶	50.9%	(fma.f64 (.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
▶	41.1%	(fma.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
▶	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	42.0%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
	34.0%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))))
	41.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (neg.f64 z) (sin.f64 y)) (.f64 (cos.f64 y) x)) (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))
	24.7%	(.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))))))
	56.1%	#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))
	56.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
▶	56.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	40.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
▶	61.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 1 030 to 456 computations (55.7% saved)

simplify112.0ms (1%)

Memory

0.4MiB live, 148.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	14144	(fma.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
cost-diff	192	(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))
cost-diff	960	(fma.f64 (.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
cost-diff	0	(*.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	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))

Rules

5 608×	`lower-fma.f32`
5 600×	`lower-fma.f64`
2 998×	`lower-*.f32`
2 980×	`lower-*.f64`
1 418×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	340
0	69	334
1	131	333
2	300	329
3	1103	325
4	3414	325
5	5886	315
0	8021	306

Stop Event

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

Calls

Call 1

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

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

localize258.0ms (2.4%)

Memory

-21.0MiB live, 513.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	6.626422844908	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))))
accuracy	13.425546902678668	(/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
accuracy	16.434572689554212	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	19.582094816776735	(fma.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))))
accuracy	0.26171875	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)))
accuracy	6.536709476852429	(.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
accuracy	16.434572689554212	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	22.1386453240156	(fma.f64 (.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x))
accuracy	0	(cos.f64 y)
accuracy	0.10546875	(*.f64 (cos.f64 y) x)
accuracy	24.682378054280683	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
accuracy	0	(-.f64 x (*.f64 z y))
accuracy	0	(*.f64 z y)
accuracy	27.630310531231757	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(sin.f64 y)
accuracy	0.0625	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0.1171875	(*.f64 (neg.f64 z) (sin.f64 y))

Samples

89.0ms	41×	2	valid
81.0ms	97×	1	valid
45.0ms	118×	0	valid

Compiler

Compiled 341 to 40 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-mult: 38.0ms (21.8% of total)

ival-cos: 38.0ms (21.8% of total)

adjust: 29.0ms (16.7% of total)

ival-neg: 27.0ms (15.5% of total)

ival-sin: 15.0ms (8.6% of total)

ival-add: 13.0ms (7.5% of total)

ival-div: 7.0ms (4% of total)

ival-sub: 5.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series100.0ms (0.9%)

Memory

9.6MiB live, 223.8MiB allocated

Counts

20 → 528

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (+ 1/2 (* 1/2 (cos (+ y y)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))))) (sin y) (/ 1 (+ 0 (* (sin y) z))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))
9.0ms	z	@	inf	((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (+ 1/2 (* 1/2 (cos (+ y y)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))))) (sin y) (/ 1 (+ 0 (* (sin y) z))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))
8.0ms	z	@	-inf	((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (+ 1/2 (* 1/2 (cos (+ y y)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))))) (sin y) (/ 1 (+ 0 (* (sin y) z))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))
8.0ms	y	@	-inf	((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (+ 1/2 (* 1/2 (cos (+ y y)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))))) (sin y) (/ 1 (+ 0 (* (sin y) z))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))
8.0ms	z	@	0	((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (+ (* (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (- 1/2 (* 1/2 (cos (+ y y)))) (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (+ 1/2 (* 1/2 (cos (+ y y)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))))) (sin y) (/ 1 (+ 0 (* (sin y) z))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))

simplify727.0ms (6.8%)

Memory

19.5MiB live, 324.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 066×	`lower-fma.f64`
7 066×	`lower-fma.f32`
6 848×	`lower-*.f64`
6 848×	`lower-*.f32`
3 978×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1019	9861
1	3573	9591
0	8039	9347

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 517

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 (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin 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)))
(* x (cos y))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* z (- (* z (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* z (- (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (- (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))) (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 4)))))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))) (* 1/2 (/ 1 (* x (cos y))))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(* (pow z 2) (- (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* 1/2 (/ 1 (* x (cos y))))))
(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y))))))
(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (+ (* -1 (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3)))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))))
(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (* x (cos y)))) (* z (+ (* z (+ (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))) (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2)))))) (* 1/2 (/ 1 (* x (cos y))))))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ (pow z 2) (* x (cos y)))
(* (pow z 2) (+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y)))))
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))))
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow x 2) (pow (cos y) 2))))) (/ 1 (* x (cos y)))))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(* (pow z 2) (- (+ (* -1 (/ (* z (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 2)))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* (pow z 2) (- (+ (* z (- (/ (* z (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 3) (pow (cos y) 3))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* (pow z 2) (- (+ (* z (- (* z (- (* -1 (/ (* z (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 3) (pow (cos y) 3)))))) (/ (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (cos y) 2))))) (* 1/2 (/ 1 (* x (cos y))))) (* 1/2 (/ (cos (* 2 y)) (* x (cos y))))))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -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 (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (+ (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (sin y))) (+ (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 2)))))))))
(* z (- (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3)))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3))))))))
(* z (- (+ (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (* (pow z 2) (pow (sin y) 3))))))) (+ (* -1/2 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))))))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ z (sin y))
(* z (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))))
(* z (- (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2)))))
(* z (- (+ (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* x (cos y)) (* z (pow (sin y) 2))))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))
(* z (- (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))
(* z (- (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 3) (pow (sin y) 4)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3)))) (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -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 (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (+ (* -1 (/ (- (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (/ (* (pow x 3) (* (cos y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* z (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (+ (* -1 (/ (- (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (/ (* (pow x 3) (* (pow (cos y) 3) (cos (* 2 y)))) (pow (sin y) 4))) (* -1/2 (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4)))) z)) (* -1/2 (/ (* (pow x 2) (* (pow (cos y) 2) (cos (* 2 y)))) (pow (sin y) 3)))) (* -1/2 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1/2 (/ (* x (* (cos y) (cos (* 2 y)))) (pow (sin y) 2)))) (* -1/2 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (+ (* -1/2 (/ (cos (* 2 y)) (sin y))) (* 1/2 (/ 1 (sin y)))))))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ z (sin y))
(* -1 (* z (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y)))))
(* -1 (* z (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y)))))
(/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2))))))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 3))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))
(* -1 (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 4))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) z)) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) z)))))
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
(+ 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)))
(* -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 (- (* -1/2 (* 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)))
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 (* y (- (* -1/3 z) (* -1/6 z)))) (* -1/2 x))))))
(* 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)))))))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2)))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2))))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow z 2)) (* 1/315 (* (pow y 2) (pow z 2)))))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
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)))
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)))
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(* -1 (* x (+ (* -1 (cos y)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(* -1 (* x (- (* -1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2)))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(* -1 (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow z 3) (* (cos (* 2 y)) (pow (sin y) 3))) (pow (cos y) 4))) (+ (* -1/2 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 4))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) x)) (+ (* -1/2 (/ (* (pow z 2) (* (cos (* 2 y)) (pow (sin y) 2))) (pow (cos y) 3))) (* -1/2 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x)) (+ (* -1/2 (/ (* z (sin y)) (pow (cos y) 2))) (* -1/2 (/ (* z (* (cos (* 2 y)) (sin y))) (pow (cos y) 2))))) x)) (* -1/2 (/ (cos (* 2 y)) (cos y)))) (* 1/2 (/ 1 (cos y))))))
(* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y))))
(* -1 (/ (- (* -1 (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3)))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4)))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))) x))
(/ (pow z 2) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (pow z 2) (cos y))) (/ (* (pow z 3) (sin y)) (* x (pow (cos y) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 2)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 3)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 2)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (sin y)) (pow (cos y) 2))) x)) (* -1 (/ (pow z 2) (cos y)))) x))
(/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (cos y)))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (* (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 4))) (/ (* (pow z 4) (* (pow (sin y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* (pow z 3) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))) x))

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

rewrite756.0ms (7%)

Memory

-28.0MiB live, 885.8MiB allocated

Rules

4 870×	`lower-*.f32`
4 852×	`lower-*.f64`
4 274×	`lower-fma.f32`
4 266×	`lower-fma.f64`
3 860×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	228
0	69	175
1	271	149
2	2201	139
0	10226	139

Stop Event

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

Counts

20 → 2 826

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z) z (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))))
(.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z) z (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x))))) (neg.f64 (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))))
(.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))))))
(.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 z (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (.f64 (.f64 x x) (.f64 (.f64 (/.f64 z (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))) z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))))
(.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (.f64 (sin.f64 y) z) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))))
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eval789.0ms (7.3%)

Memory: -2.6MiB live, 1 351.0MiB allocated
Compiler: Compiled 211 184 to 4 488 computations (97.9% saved)

prune318.0ms (3%)

Memory

-21.8MiB live, 576.3MiB allocated

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	3 522	26	3 548
Fresh	9	1	10
Picked	2	3	5
Done	0	0	0
Total	3 533	30	3 563

Accuracy

100.0%

Counts

3 563 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.0%	(fma.f64 (.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	23.8%	(fma.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (neg.f64 #s(approx ( (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))) (.f64 (.f64 y y) (/.f64 (*.f64 z z) x)))))
	68.2%	(fma.f64 (neg.f64 z) (.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (sin.f64 y) z))) (*.f64 x (cos.f64 y)))
	18.6%	(fma.f64 (cos.f64 y) x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))))
▶	99.7%	(fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
	75.8%	(fma.f64 (cos.f64 y) x (.f64 (/.f64 (.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) (sin.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	56.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
	56.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
	20.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 z y) (fma.f64 z y x) (.f64 x x)) (fma.f64 (neg.f64 z) y x)) (fma.f64 (.f64 z y) (fma.f64 z y x) (*.f64 x x))))
	32.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (fma.f64 z y x)))
	31.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)))))
✓	56.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	93.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
	87.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
▶	31.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	40.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
✓	61.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	40.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	40.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
	40.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
▶	41.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
▶	52.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	41.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
	54.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) x)) x)))
	18.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))
	40.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	25.0%	#s(approx (+ (* (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)) (neg.f64 z)))
	99.2%	#s(approx (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 (sin.f64 y) z) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
▶	61.2%	#s(approx (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))

Compiler

Compiled 1 055 to 602 computations (42.9% saved)

simplify201.0ms (1.9%)

Memory

37.5MiB live, 150.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))
cost-diff	0	(.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))
cost-diff	0	#s(approx (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
cost-diff	128	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	(fma.f64 z y x)
cost-diff	0	(*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
cost-diff	2112	(.f64 (.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))
cost-diff	0	(fma.f64 y (/.f64 z x) #s(literal -1 binary64))
cost-diff	0	#s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
cost-diff	1024	(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))

Rules

12 030×	`lower-fma.f32`
12 020×	`lower-fma.f64`
4 550×	`lower-*.f32`
4 536×	`lower-*.f64`
1 928×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	307
0	87	297
1	171	293
2	369	283
3	1101	283
4	3881	262
0	8376	259

Stop Event

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

Calls

Call 1

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

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

localize340.0ms (3.2%)

Memory

-19.1MiB live, 179.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)))
accuracy	0.24609375	(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))
accuracy	0.41215180680151864	(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	24.682378054280683	#s(approx (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
accuracy	0.0859375	(*.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x))
accuracy	0.27837106588779326	(/.f64 #s(literal 1 binary64) (fma.f64 z y x))
accuracy	27.630310531231757	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
accuracy	33.20383291864587	(.f64 (.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))
accuracy	0	#s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))
accuracy	1.7383728760211574	(fma.f64 y (/.f64 z x) #s(literal -1 binary64))
accuracy	4.984243900055913	(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
accuracy	27.630310531231757	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
accuracy	0.10546875	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
accuracy	24.682378054280683	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
accuracy	26.45647227701492	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.0625	(fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
accuracy	0.1171875	(*.f64 (sin.f64 y) z)
accuracy	0.26171875	(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
accuracy	0.5224068978400638	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))

Samples

111.0ms	198×	0	valid
107.0ms	58×	1	valid

Compiler

Compiled 255 to 53 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-cos: 71.0ms (36.7% of total)

ival-mult: 66.0ms (34.2% of total)

ival-sin: 19.0ms (9.8% of total)

ival-div: 13.0ms (6.7% of total)

ival-add: 11.0ms (5.7% of total)

adjust: 5.0ms (2.6% of total)

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

ival-neg: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

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

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

series119.0ms (1.1%)

Memory

24.1MiB live, 59.5MiB allocated

Counts

22 → 612

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
67.0ms	y	@	inf	((/ 1 (/ -1 (* (sin y) z))) (+ (* (cos y) x) (/ 1 (/ -1 (* (sin y) z)))) (cos y) (/ -1 (* (sin y) z)) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (* (+ (* y (/ z x)) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* y (/ z x)) -1) (* (* (+ (* z y) x) (+ (* (neg z) y) x)) (/ 1 (+ (* z y) x))) (- (* x (cos y)) (* z (sin y))) (* (+ (* z y) x) (+ (* (neg z) y) x)) (+ (* z y) x) (* 2 y) (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (* (sin y) z) (/ 1 (+ (* z y) x)) (+ (* (cos (* 2 y)) 1/2) 1/2))
5.0ms	y	@	-inf	((/ 1 (/ -1 (* (sin y) z))) (+ (* (cos y) x) (/ 1 (/ -1 (* (sin y) z)))) (cos y) (/ -1 (* (sin y) z)) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (* (+ (* y (/ z x)) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* y (/ z x)) -1) (* (* (+ (* z y) x) (+ (* (neg z) y) x)) (/ 1 (+ (* z y) x))) (- (* x (cos y)) (* z (sin y))) (* (+ (* z y) x) (+ (* (neg z) y) x)) (+ (* z y) x) (* 2 y) (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (* (sin y) z) (/ 1 (+ (* z y) x)) (+ (* (cos (* 2 y)) 1/2) 1/2))
5.0ms	z	@	-inf	((/ 1 (/ -1 (* (sin y) z))) (+ (* (cos y) x) (/ 1 (/ -1 (* (sin y) z)))) (cos y) (/ -1 (* (sin y) z)) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (* (+ (* y (/ z x)) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* y (/ z x)) -1) (* (* (+ (* z y) x) (+ (* (neg z) y) x)) (/ 1 (+ (* z y) x))) (- (* x (cos y)) (* z (sin y))) (* (+ (* z y) x) (+ (* (neg z) y) x)) (+ (* z y) x) (* 2 y) (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (* (sin y) z) (/ 1 (+ (* z y) x)) (+ (* (cos (* 2 y)) 1/2) 1/2))
4.0ms	x	@	0	((/ 1 (/ -1 (* (sin y) z))) (+ (* (cos y) x) (/ 1 (/ -1 (* (sin y) z)))) (cos y) (/ -1 (* (sin y) z)) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (* (+ (* y (/ z x)) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* y (/ z x)) -1) (* (* (+ (* z y) x) (+ (* (neg z) y) x)) (/ 1 (+ (* z y) x))) (- (* x (cos y)) (* z (sin y))) (* (+ (* z y) x) (+ (* (neg z) y) x)) (+ (* z y) x) (* 2 y) (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (* (sin y) z) (/ 1 (+ (* z y) x)) (+ (* (cos (* 2 y)) 1/2) 1/2))
4.0ms	x	@	-inf	((/ 1 (/ -1 (* (sin y) z))) (+ (* (cos y) x) (/ 1 (/ -1 (* (sin y) z)))) (cos y) (/ -1 (* (sin y) z)) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (* (+ (* y (/ z x)) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* y (/ z x)) -1) (* (* (+ (* z y) x) (+ (* (neg z) y) x)) (/ 1 (+ (* z y) x))) (- (* x (cos y)) (* z (sin y))) (* (+ (* z y) x) (+ (* (neg z) y) x)) (+ (* z y) x) (* 2 y) (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (* x (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y))) (/ (+ (* (cos (* 2 y)) 1/2) 1/2) (cos y)) (* (sin y) z) (/ 1 (+ (* z y) x)) (+ (* (cos (* 2 y)) 1/2) 1/2))

simplify354.0ms (3.3%)

Memory

-37.9MiB live, 246.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 004×	`lower-fma.f64`
11 004×	`lower-fma.f32`
7 492×	`lower-*.f64`
7 492×	`lower-*.f32`
4 456×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	861	7437
1	2861	7075
0	8636	6817

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 589

Calls

Call 1

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

rewrite385.0ms (3.6%)

Memory

56.8MiB live, 392.5MiB allocated

Rules

5 756×	`lower-*.f32`
5 742×	`lower-*.f64`
4 704×	`lower-/.f32`
4 694×	`lower-/.f64`
4 598×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	268
0	87	258
1	362	188
2	2753	179
0	9904	179

Stop Event

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

Counts

22 → 875

Calls

Call 1

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

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

eval437.0ms (4.1%)

Memory: -70.4MiB live, 490.3MiB allocated
Compiler: Compiled 59 841 to 3 446 computations (94.2% saved)

prune220.0ms (2%)

Memory

-0.6MiB live, 565.4MiB allocated

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	1 517	19	1 536
Fresh	8	14	22
Picked	3	2	5
Done	0	3	3
Total	1 528	38	1 566

Accuracy

100.0%

Counts

1 566 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z (*.f64 x (cos.f64 y)))
	31.0%	(fma.f64 (.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	60.3%	(fma.f64 (cos.f64 y) x (pow.f64 (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	75.8%	(fma.f64 (cos.f64 y) x (.f64 (/.f64 (.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) (sin.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	78.9%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
	56.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) y (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
	56.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
	20.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 z y) (fma.f64 z y x) (.f64 x x)) (fma.f64 (neg.f64 z) y x)) (fma.f64 (.f64 z y) (fma.f64 z y x) (*.f64 x x))))
▶	31.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 (neg.f64 z) y x) (fma.f64 z y x)))))
✓	56.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	93.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
	56.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (neg.f64 z) y x) (.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))))
▶	87.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
	28.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z y) x) (*.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x)))))
	13.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 #s(approx (+ (* z y) x) (*.f64 y z)) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	40.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
✓	61.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	7.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (+ (* (neg z) y) x)) (.f64 (fma.f64 (.f64 z z) (neg.f64 y) #s(literal 0 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	6.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (+ (* (neg z) y) x)) (.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (fma.f64 (neg.f64 z) z (/.f64 (.f64 x z) y))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	11.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (+ (* (neg z) y) x)) (.f64 (neg.f64 (fma.f64 z z (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 (neg.f64 x) x) y)) y))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	20.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	40.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	40.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
	40.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
✓	41.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
▶	54.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))
	54.8%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x))))
✓	52.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	41.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x y) z) y)))
▶	18.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
	16.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (+ ( y (/ z x)) -1) (/.f64 (*.f64 y z) x)) (neg.f64 x))))
	54.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (+ ( y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)) (neg.f64 x))))
	40.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	25.0%	#s(approx (+ (* (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)) (neg.f64 z)))
	99.2%	#s(approx (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 (sin.f64 y) z) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
	61.1%	#s(approx (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (cos.f64 y)))
	61.3%	#s(approx (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))))

Compiler

Compiled 1 293 to 729 computations (43.6% saved)

simplify133.0ms (1.2%)

Memory

-8.3MiB live, 188.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (cos.f64 y) z)
cost-diff	0	(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z))
cost-diff	704	(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
cost-diff	0	(fma.f64 z y x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 (neg.f64 z) y x) (fma.f64 z y x)))))
cost-diff	1088	(/.f64 (fma.f64 z y x) (*.f64 (fma.f64 (neg.f64 z) y x) (fma.f64 z y x)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 (neg.f64 z) y x) (fma.f64 z y x))))
cost-diff	0	#s(approx (- x (* z y)) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))
cost-diff	320	(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
cost-diff	1024	(.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 #s(literal -1 binary64) (sin.f64 y))
cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z (*.f64 x (cos.f64 y)))
cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))

Rules

12 364×	`lower-fma.f32`
12 354×	`lower-fma.f64`
3 110×	`lower-*.f32`
3 098×	`lower-*.f64`
2 084×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	288
0	65	280
1	119	274
2	244	256
3	803	249
4	2421	227
5	5111	227
0	8188	226

Stop Event

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

Calls

Call 1

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

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

localize92.0ms (0.9%)

Memory

13.6MiB live, 172.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sin.f64 y)
accuracy	0.125	(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
accuracy	0.12890625	(/.f64 (cos.f64 y) z)
accuracy	7.875064042389929	(*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)
accuracy	0.0859375	(*.f64 (fma.f64 (neg.f64 z) y x) (fma.f64 z y x))
accuracy	0.217128759768442	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 (neg.f64 z) y x) (fma.f64 z y x))))
accuracy	27.630310531231757	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (*.f64 (fma.f64 (neg.f64 z) y x) (fma.f64 z y x)))))
accuracy	34.378306005519185	(/.f64 (fma.f64 z y x) (*.f64 (fma.f64 (neg.f64 z) y x) (fma.f64 z y x)))
accuracy	0	#s(approx (- x (* z y)) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))
accuracy	1.7172924014217814	(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
accuracy	4.984243900055913	(.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
accuracy	27.630310531231757	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	27.630310531231757	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
accuracy	32.06948755410352	#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))
accuracy	0.08203125	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z (*.f64 x (cos.f64 y)))
accuracy	0.10546875	(*.f64 x (cos.f64 y))
accuracy	0.1171875	(/.f64 #s(literal -1 binary64) (sin.f64 y))
accuracy	0.265625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))

Samples

67.0ms

256×

valid

Compiler

Compiled 229 to 35 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 15.0ms (31.6% of total)

ival-div: 9.0ms (19% of total)

ival-add: 7.0ms (14.7% of total)

ival-sin: 6.0ms (12.6% of total)

ival-cos: 5.0ms (10.5% of total)

ival-neg: 3.0ms (6.3% of total)

ival-sub: 2.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series50.0ms (0.5%)

Memory

8.0MiB live, 83.3MiB allocated

Counts

22 → 660

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((/ 1 (/ -1 (sin y))) (+ (* (/ 1 (/ -1 (sin y))) z) (* x (cos y))) (/ -1 (sin y)) (sin y) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (* (+ (* (* z y) (/ 1 x)) -1) (neg x)) (+ (* (* z y) (/ 1 x)) -1) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (/ 1 (/ (+ (* z y) x) (* (+ (* (neg z) y) x) (+ (* z y) x)))) (/ (+ (* z y) x) (* (+ (* (neg z) y) x) (+ (* z y) x))) (- (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* (+ (* x (/ (cos y) z)) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* x (/ (cos y) z)) (neg (sin y))) (/ (cos y) z) (* x (cos y)) (* (+ (* (neg z) y) x) (+ (* z y) x)))
3.0ms	y	@	inf	((/ 1 (/ -1 (sin y))) (+ (* (/ 1 (/ -1 (sin y))) z) (* x (cos y))) (/ -1 (sin y)) (sin y) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (* (+ (* (* z y) (/ 1 x)) -1) (neg x)) (+ (* (* z y) (/ 1 x)) -1) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (/ 1 (/ (+ (* z y) x) (* (+ (* (neg z) y) x) (+ (* z y) x)))) (/ (+ (* z y) x) (* (+ (* (neg z) y) x) (+ (* z y) x))) (- (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* (+ (* x (/ (cos y) z)) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* x (/ (cos y) z)) (neg (sin y))) (/ (cos y) z) (* x (cos y)) (* (+ (* (neg z) y) x) (+ (* z y) x)))
3.0ms	z	@	-inf	((/ 1 (/ -1 (sin y))) (+ (* (/ 1 (/ -1 (sin y))) z) (* x (cos y))) (/ -1 (sin y)) (sin y) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (* (+ (* (* z y) (/ 1 x)) -1) (neg x)) (+ (* (* z y) (/ 1 x)) -1) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (/ 1 (/ (+ (* z y) x) (* (+ (* (neg z) y) x) (+ (* z y) x)))) (/ (+ (* z y) x) (* (+ (* (neg z) y) x) (+ (* z y) x))) (- (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* (+ (* x (/ (cos y) z)) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* x (/ (cos y) z)) (neg (sin y))) (/ (cos y) z) (* x (cos y)) (* (+ (* (neg z) y) x) (+ (* z y) x)))
2.0ms	z	@	0	((/ 1 (/ -1 (sin y))) (+ (* (/ 1 (/ -1 (sin y))) z) (* x (cos y))) (/ -1 (sin y)) (sin y) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (* (+ (* (* z y) (/ 1 x)) -1) (neg x)) (+ (* (* z y) (/ 1 x)) -1) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (/ 1 (/ (+ (* z y) x) (* (+ (* (neg z) y) x) (+ (* z y) x)))) (/ (+ (* z y) x) (* (+ (* (neg z) y) x) (+ (* z y) x))) (- (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* (+ (* x (/ (cos y) z)) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* x (/ (cos y) z)) (neg (sin y))) (/ (cos y) z) (* x (cos y)) (* (+ (* (neg z) y) x) (+ (* z y) x)))
2.0ms	z	@	inf	((/ 1 (/ -1 (sin y))) (+ (* (/ 1 (/ -1 (sin y))) z) (* x (cos y))) (/ -1 (sin y)) (sin y) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg z) y) (neg z) (* (+ (* (* z y) (/ 1 x)) -1) (neg x)) (+ (* (* z y) (/ 1 x)) -1) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (/ 1 (/ (+ (* z y) x) (* (+ (* (neg z) y) x) (+ (* z y) x)))) (/ (+ (* z y) x) (* (+ (* (neg z) y) x) (+ (* z y) x))) (- (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* (+ (* x (/ (cos y) z)) (neg (sin y))) z) (- (* x (cos y)) (* z (sin y))) (+ (* x (/ (cos y) z)) (neg (sin y))) (/ (cos y) z) (* x (cos y)) (* (+ (* (neg z) y) x) (+ (* z y) x)))

simplify181.0ms (1.7%)

Memory

9.7MiB live, 168.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 156×	`lower-fma.f64`
7 156×	`lower-fma.f32`
5 196×	`lower-*.f64`
5 196×	`lower-*.f32`
2 144×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	503	5469
1	1571	5220
2	4701	5163
0	8170	5030

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 632

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

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

rewrite564.0ms (5.2%)

Memory

-23.2MiB live, 340.3MiB allocated

Rules

5 954×	`lower-fma.f32`
5 944×	`lower-fma.f64`
4 994×	`lower-*.f32`
4 982×	`lower-*.f64`
4 800×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	245
0	65	235
1	235	202
2	1903	202
0	8793	198

Stop Event

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

Counts

22 → 975

Calls

Call 1

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

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

eval307.0ms (2.9%)

Memory: 18.7MiB live, 521.9MiB allocated
Compiler: Compiled 49 575 to 3 902 computations (92.1% saved)

prune233.0ms (2.2%)

Memory

-11.5MiB live, 566.4MiB allocated

Pruning

50 alts after pruning (42 fresh and 8 done)

	Pruned	Kept	Total
New	1 718	19	1 737
Fresh	5	23	28
Picked	2	3	5
Done	0	5	5
Total	1 725	50	1 775

Accuracy

100.0%

Counts

1 775 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) z (*.f64 x (cos.f64 y)))
	31.0%	(fma.f64 (.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) z))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	75.8%	(fma.f64 (cos.f64 y) x (.f64 (/.f64 (.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) (sin.f64 y)))
✓	99.8%	(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
	78.9%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
	56.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) z) y (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x))
	56.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
	31.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))))))
	20.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 z y) (fma.f64 z y x) (.f64 x x)) (fma.f64 (neg.f64 z) y x)) (fma.f64 (.f64 z y) (fma.f64 z y x) (*.f64 x x))))
	22.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) (/.f64 (.f64 (fma.f64 z y x) (.f64 (fma.f64 (neg.f64 z) y x) (fma.f64 z y x))) (fma.f64 z y x)))))
	19.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y x) #s(approx (* (+ (* (neg z) y) x) (+ (* z y) x)) (.f64 (fma.f64 (.f64 z (/.f64 z (.f64 x x))) (.f64 (neg.f64 y) y) #s(literal 1 binary64)) (*.f64 x x))))))
	41.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z y) x) (* (+ (* (neg z) y) x) (+ (* z y) x))) (/.f64 (fma.f64 (/.f64 z x) y #s(literal 1 binary64)) x))))
	16.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z y) x) (* (+ (* (neg z) y) x) (+ (* z y) x))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 x (/.f64 x (.f64 (.f64 (.f64 (.f64 z z) y) z) y)) (/.f64 x (.f64 (.f64 z z) y)))) y))))
	40.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z y) x) (* (+ (* (neg z) y) x) (+ (* z y) x))) (/.f64 (+.f64 (/.f64 (fma.f64 z y (/.f64 (.f64 (.f64 (*.f64 y y) z) z) x)) x) #s(literal 1 binary64)) x))))
	41.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z y) x) (* (+ (* (neg z) y) x) (+ (* z y) x))) (/.f64 #s(literal 1 binary64) x))))
✓	56.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	93.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
	87.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (.f64 (cos.f64 y) x) (/.f64 #s(literal 1 binary64) z) (neg.f64 (sin.f64 y))) z))
	56.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (neg.f64 z) y x) (.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z y x)))))
	50.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 #s(approx (sin y) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) z))
	87.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y))) (neg.f64 (sin.f64 y))) z))
	69.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 z (.f64 (cos.f64 y) x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 z (.f64 (cos.f64 y) x)))) z))
	11.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 (neg.f64 z) y x) (fma.f64 z y x)) (.f64 (fma.f64 (.f64 z y) (fma.f64 z y x) (.f64 x x)) (fma.f64 (neg.f64 z) y x))) (fma.f64 (.f64 z z) (.f64 y y) (.f64 (fma.f64 (neg.f64 z) y x) x))))
	28.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z y) x) (*.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x)))))
	13.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 #s(approx (+ (* z y) x) (*.f64 y z)) (fma.f64 (neg.f64 z) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	40.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
✓	61.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	49.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( x (/ (cos y) z)) (neg (sin y))) (/.f64 (*.f64 (cos.f64 y) x) z)) z))
	33.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( x (/ (cos y) z)) (neg (sin y))) (/.f64 x z)) z))
	7.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (+ (* (neg z) y) x)) (.f64 (fma.f64 (.f64 z z) (neg.f64 y) #s(literal 0 binary64)) y)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	6.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (+ (* (neg z) y) x)) (.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (fma.f64 (neg.f64 z) z (/.f64 (.f64 x z) y))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	11.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (+ (* (neg z) y) x)) (.f64 (neg.f64 (fma.f64 z z (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 (neg.f64 x) x) y)) y))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	20.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (+ (* (neg z) y) x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y x))))
	40.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	40.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
	40.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
✓	41.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	41.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ (+ (* z y) x) (* (+ (* (neg z) y) x) (+ (* z y) x)))) (*.f64 (-.f64 (/.f64 x y) z) y)))
	54.8%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (/.f64 y x) z #s(literal -1 binary64)) (neg.f64 x))))
✓	54.9%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))))
✓	52.3%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	10.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) y)))
✓	18.5%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)))
	16.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (+ ( (* z y) (/ 1 x)) -1) (/.f64 (*.f64 z y) x)) (neg.f64 x))))
	54.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 #s(approx (+ ( y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)) (neg.f64 x))))
	40.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
	25.0%	#s(approx (+ (* (* (neg (* z z)) (- 1/2 (* 1/2 (cos (+ y y))))) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)) (neg.f64 z)))
	99.2%	#s(approx (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (fma.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 (sin.f64 y) z) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
	61.1%	#s(approx (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) (cos.f64 y)))
	61.3%	#s(approx (+ (* (* x x) (/ (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (sin y) z) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (sin y) z) (* (cos y) x)))))) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))))

Compiler

Compiled 2 495 to 818 computations (67.2% saved)

regimes96.0ms (0.9%)

Memory

7.9MiB live, 209.9MiB allocated

Counts

80 → 1

Calls

Call 1

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

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

Calls

4 calls:

24.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
23.0ms	z
22.0ms	y
22.0ms	x

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes99.0ms (0.9%)

Memory

17.1MiB live, 134.1MiB allocated

Counts

51 → 1

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
17.0ms	x
16.0ms	y
14.0ms	z

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes116.0ms (1.1%)

Memory

-9.6MiB live, 153.8MiB allocated

Counts

50 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

60.0ms	y
22.0ms	x
17.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
15.0ms	z

Results

Accuracy	Segments	Branch
88.3%	3	`x`
82.2%	3	`y`
88.5%	3	`z`
78.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes80.0ms (0.7%)

Memory

-3.9MiB live, 153.5MiB allocated

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

34.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
16.0ms	z
14.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
66.6%	3	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
80.6%	4	`y`
74.6%	3	`x`
80.3%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes55.0ms (0.5%)

Memory

-3.4MiB live, 78.6MiB allocated

Counts

46 → 3

Calls

Call 1

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

Outputs

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

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

2 calls:

38.0ms	z
14.0ms	y

Results

Accuracy	Segments	Branch
76.8%	3	`y`
71.9%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes59.0ms (0.5%)

Memory

13.3MiB live, 171.9MiB allocated

Counts

45 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
56.8%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
56.8%	1	`z`
56.8%	1	`x`
56.8%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory

-9.3MiB live, 29.8MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

Outputs

#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 #s(approx (cos y) #s(literal 1 binary64)) x))

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

Calls

4 calls:

3.0ms	x
2.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
41.9%	1	`y`
50.0%	3	`z`
46.0%	3	`x`
41.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0%)

Memory

-19.2MiB live, 19.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
41.9%	1	`y`
41.9%	1	`x`
41.9%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch33.0ms (0.3%)

Memory

26.2MiB live, 70.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.5463962170840213e-57	2.98727743829616e-50
10.0ms	-3.097450674560692e+45	-1.0161847529124102e+45

Samples

19.0ms

224×

valid

Compiler

Compiled 365 to 252 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-cos: 5.0ms (35.8% of total)

ival-sin: 4.0ms (28.6% of total)

ival-mult: 3.0ms (21.5% of total)

ival-sub: 1.0ms (7.2% of total)

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

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

bsearch48.0ms (0.4%)

Memory

-10.0MiB live, 105.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	5.741550459161482e+72	6.1965397077160985e+84
23.0ms	-5.783206357898062e+139	-4.3326432508031107e+133

Samples

34.0ms

304×

valid

Compiler

Compiled 376 to 261 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sin: 12.0ms (45.1% of total)

ival-cos: 7.0ms (26.3% of total)

ival-mult: 6.0ms (22.5% of total)

ival-sub: 1.0ms (3.8% of total)

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

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

bsearch41.0ms (0.4%)

Memory

11.7MiB live, 94.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.00014138685008050479	1.9769181253425554
26.0ms	-16285217637975462.0	-1614421.0194843044

Samples

27.0ms

288×

valid

Compiler

Compiled 447 to 284 computations (36.5% saved)

Precisions

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

ival-cos: 6.0ms (33.3% of total)

ival-sin: 6.0ms (33.3% of total)

ival-mult: 4.0ms (22.2% of total)

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

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

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

bsearch29.0ms (0.3%)

Memory

-22.4MiB live, 56.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.725840941749784e+87	4.4247596061963806e+88
15.0ms	-5.783206357898062e+139	-4.3326432508031107e+133

Samples

19.0ms

192×

valid

Compiler

Compiled 300 to 194 computations (35.3% saved)

Precisions

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

ival-mult: 6.0ms (40.9% of total)

ival-cos: 4.0ms (27.3% of total)

ival-sin: 3.0ms (20.5% of total)

ival-sub: 1.0ms (6.8% of total)

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

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

simplify9.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
16×	`+-commutative_binary64`
16×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	271
1	92	271
2	108	271
3	116	271
4	120	271
5	121	271

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -1049999999999999973782050984320931337053667328 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 y) z)))) (if (<=.f64 z #s(literal 4637973545043259/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 y) z))))))
(if (<=.f64 z #s(literal -2500000000000000146660153175185029938865510715974326097023428386377455338013453902376193839490348397451007593964251874844200525904216064 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 3250000000000000133821588834575384693587087989022947098294347210431670123347784499200 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))
(if (<=.f64 y #s(literal -1620000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1116892707587883/36028797018963968 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)))
(if (<=.f64 z #s(literal -18600000000000000032429089607744100986232539205614117686674932134666627454249760852013357138903302278880901654237523060120551403900895232 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (neg.f64 y) z))) (if (<=.f64 z #s(literal 44000000000000001748030005636184619352242829430368895000436310182732888853054397307944960 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))

Outputs
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -1049999999999999973782050984320931337053667328 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 y) z)))) (if (<=.f64 z #s(literal 4637973545043259/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 y) z))))))
(if (<=.f64 z #s(literal -1049999999999999973782050984320931337053667328 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 y) z)))) (if (<=.f64 z #s(literal 4637973545043259/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 y) z))))))
(if (<=.f64 z #s(literal -2500000000000000146660153175185029938865510715974326097023428386377455338013453902376193839490348397451007593964251874844200525904216064 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 3250000000000000133821588834575384693587087989022947098294347210431670123347784499200 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))
(if (<=.f64 z #s(literal -2500000000000000146660153175185029938865510715974326097023428386377455338013453902376193839490348397451007593964251874844200525904216064 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) (neg.f64 z))) (if (<=.f64 z #s(literal 3250000000000000133821588834575384693587087989022947098294347210431670123347784499200 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z)))))
(if (<=.f64 y #s(literal -1620000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1116892707587883/36028797018963968 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 -1620000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1116892707587883/36028797018963968 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
(if (<=.f64 z #s(literal -18600000000000000032429089607744100986232539205614117686674932134666627454249760852013357138903302278880901654237523060120551403900895232 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 (neg.f64 y) z))) (if (<=.f64 z #s(literal 44000000000000001748030005636184619352242829430368895000436310182732888853054397307944960 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))

soundness1.0s (9.6%)

Memory

-7.3MiB live, 829.0MiB allocated

Rules

12 936×	`lower-fma.f64`
12 936×	`lower-fma.f32`
11 004×	`lower-fma.f64`
11 004×	`lower-fma.f32`
10 986×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	686
1	339	681
2	933	669
3	2667	663
4	4606	663
5	7371	663
0	8245	636
0	1019	9861
1	3573	9591
0	8039	9347
0	8	21
0	13	21
1	33	21
2	210	21
3	1964	21
0	8379	21
0	861	7437
1	2861	7075
0	8636	6817
0	40	228
0	69	175
1	271	149
2	2201	139
0	10226	139

Stop Event

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

Compiler

Compiled 293 to 144 computations (50.9% saved)

preprocess97.0ms (0.9%)

Memory: -4.2MiB live, 109.9MiB allocated
Compiler: Compiled 320 to 116 computations (63.8% 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%)

sample1.5s (13.5%)

explain95.0ms (0.9%)

preprocess49.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.1%)

localize30.0ms (0.3%)

series11.0ms (0.1%)

simplify200.0ms (1.9%)

rewrite318.0ms (3%)

eval45.0ms (0.4%)

prune57.0ms (0.5%)

simplify112.0ms (1%)

localize258.0ms (2.4%)

series100.0ms (0.9%)

simplify727.0ms (6.8%)

rewrite756.0ms (7%)

eval789.0ms (7.3%)

prune318.0ms (3%)

simplify201.0ms (1.9%)

localize340.0ms (3.2%)

series119.0ms (1.1%)

simplify354.0ms (3.3%)

rewrite385.0ms (3.6%)

eval437.0ms (4.1%)

prune220.0ms (2%)

simplify133.0ms (1.2%)

localize92.0ms (0.9%)

series50.0ms (0.5%)

simplify181.0ms (1.7%)

rewrite564.0ms (5.2%)

eval307.0ms (2.9%)

prune233.0ms (2.2%)

regimes96.0ms (0.9%)

regimes99.0ms (0.9%)

regimes116.0ms (1.1%)

regimes80.0ms (0.7%)

regimes55.0ms (0.5%)

regimes59.0ms (0.5%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

bsearch33.0ms (0.3%)

bsearch48.0ms (0.4%)

bsearch41.0ms (0.4%)

bsearch29.0ms (0.3%)

simplify9.0ms (0.1%)

soundness1.0s (9.6%)

preprocess97.0ms (0.9%)

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