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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.3s (11.4%)

Memory

-2.1MiB live, 1 711.2MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 689.0ms

ival-cos: 254.0ms (36.8% of total)

ival-sin: 253.0ms (36.7% of total)

ival-mult: 135.0ms (19.6% of total)

ival-sub: 38.0ms (5.5% of total)

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

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

Bogosity

preprocess49.0ms (0.4%)

Memory

25.5MiB live, 64.7MiB 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)))

explain153.0ms (1.3%)

Memory

-1.6MiB live, 155.2MiB 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

97.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 30.0ms (55.7% of total)

ival-sin: 11.0ms (20.4% of total)

ival-cos: 10.0ms (18.6% of total)

ival-sub: 2.0ms (3.7% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify34.0ms (0.3%)

Memory

-18.1MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize37.0ms (0.3%)

Memory

7.1MiB live, 47.3MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

29.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-cos: 6.0ms (38.5% of total)

ival-sin: 5.0ms (32.1% of total)

ival-mult: 3.0ms (19.2% of total)

ival-sub: 1.0ms (6.4% of total)

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

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

series8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify368.0ms (3.1%)

Memory

-24.8MiB live, 571.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	624
1	292	619
2	837	613
3	2075	607
4	3601	607
5	6258	607
0	8452	586

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite467.0ms (4%)

Memory

51.5MiB live, 828.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 231

Calls

Call 1

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

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

eval90.0ms (0.8%)

Memory: -15.1MiB live, 98.2MiB allocated
Compiler: Compiled 15 516 to 728 computations (95.3% saved)

prune63.0ms (0.5%)

Memory

13.1MiB live, 150.2MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	311	14	325
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	312	14	326

Accuracy

99.9%

Counts

326 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.4%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
	65.2%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
▶	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
▶	99.8%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	65.3%	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
▶	40.6%	(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
	19.1%	(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64))) (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	78.3%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	53.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
	53.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
▶	53.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
▶	60.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
	41.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))

Compiler

Compiled 638 to 346 computations (45.8% saved)

simplify407.0ms (3.5%)

Memory

-18.7MiB live, 724.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

15 426×	`lower-fma.f32`
15 418×	`lower-fma.f64`
4 146×	`lower-*.f32`
4 132×	`lower-*.f64`
2 168×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	225
0	58	225
1	108	225
2	207	225
3	460	225
4	1188	221
5	2697	219
6	4495	219
7	6846	219
0	8321	212

Stop Event

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

Calls

Call 1

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

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

localize453.0ms (3.9%)

Memory

56.2MiB live, 313.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	84.0%	(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
✓	accuracy	77.4%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	53.9%	(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	60.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓	accuracy	100.0%	(-.f64 x (*.f64 z y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	53.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
✓	accuracy	100.0%	(neg.f64 (*.f64 z (sin.f64 y)))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))

Samples

77.0ms	128×	0	valid
56.0ms	83×	1	valid
33.0ms	45×	2	valid

Compiler

Compiled 222 to 32 computations (85.6% saved)

Precisions

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

ival-add: 38.0ms (29.6% of total)

ival-cos: 32.0ms (24.9% of total)

ival-mult: 31.0ms (24.1% of total)

adjust: 11.0ms (8.6% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory

-28.2MiB live, 93.4MiB allocated

Counts

16 → 408

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
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#s(alt (+ x (* y (- (* -1/2 (* x y)) z))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.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 (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.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 (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.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 (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.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 (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (cos y)) z) (sin y))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (cos y)) z) (sin y))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (cos y)) z) (sin y))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) (patch (fma.f64 (cos.f64 y) x (neg.f64 (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 y) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* 1/6 (* (pow y 2) z)) z)) (taylor 0 y) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)) (taylor 0 y) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z)) (taylor 0 y) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf y) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf y) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf y) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf y) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor -inf y) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor -inf y) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor -inf y) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor -inf y) (#s(alt (neg.f64 (.f64 z (sin.f64 y))) (patch (neg.f64 (.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 (* z (sin y)) (taylor inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) (taylor 0 y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (.f64 z (sin.f64 y)) (patch (.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))) (taylor -inf z) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* z (sin y)))) (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))) (taylor -inf z) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* -1 (/ (* x (* (cos y) (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* z (sin y)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (taylor inf x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (patch (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ())

Calls

102 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(* z (sin y))
3.0ms	z	@	0	(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
2.0ms	y	@	-inf	(/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y))))
2.0ms	y	@	inf	(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
1.0ms	y	@	-inf	(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))

simplify432.0ms (3.7%)

Memory

3.2MiB live, 622.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 230×	`lower-fma.f64`
9 230×	`lower-fma.f32`
8 170×	`lower-*.f64`
8 170×	`lower-*.f32`
2 058×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	466	5165
1	1569	5014
2	5630	4940
0	8796	4690

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 397

Calls

Call 1

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

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

rewrite446.0ms (3.8%)

Memory

29.2MiB live, 727.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 568×	`lower-fma.f32`
6 560×	`lower-fma.f64`
4 762×	`lower-*.f32`
4 748×	`lower-*.f64`
4 214×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	149
0	58	124
1	219	104
2	1616	104
0	8305	104

Stop Event

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

Counts

16 → 691

Calls

Call 1

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

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

eval246.0ms (2.1%)

Memory: -10.3MiB live, 369.9MiB allocated
Compiler: Compiled 44 946 to 1 880 computations (95.8% saved)

prune314.0ms (2.7%)

Memory

-161.4MiB live, 392.6MiB allocated

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	1 181	21	1 202
Fresh	6	3	9
Picked	1	4	5
Done	0	0	0
Total	1 188	28	1 216

Accuracy

100.0%

Counts

1 216 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
	71.3%	(fma.f64 (sin.f64 y) (/.f64 (.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)) (.f64 x (cos.f64 y)))
✓	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	78.3%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓	99.8%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	16.8%	(/.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (neg.f64 (.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))))
	53.0%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z) x))
	49.5%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 (.f64 (.f64 x (cos.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
	60.1%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
▶	26.5%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
▶	53.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
▶	20.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
	29.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
	29.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
	26.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
✓	53.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	29.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
	87.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
	93.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))
✓	60.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
	38.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
	38.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
▶	40.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	41.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
	49.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
	17.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))

Compiler

Compiled 957 to 526 computations (45% saved)

simplify457.0ms (3.9%)

Memory

28.3MiB live, 739.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
✓	cost-diff	128	(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))
✓	cost-diff	0	(fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z)))
✓	cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
✓	cost-diff	3840	(/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)))
✓	cost-diff	0	(fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	(fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
✓	cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
✓	cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))))

Rules

16 454×	`lower-fma.f32`
16 440×	`lower-fma.f64`
5 310×	`lower-*.f32`
5 292×	`lower-*.f64`
2 464×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	356
0	89	376
1	189	375
2	453	309
3	1140	303
4	3280	301
5	6559	301
0	8247	296

Stop Event

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

Calls

Call 1

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

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

localize289.0ms (2.5%)

Memory

15.0MiB live, 533.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 z (sin.f64 y))
✓	accuracy	77.4%	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	76.4%	(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y))))
✓	accuracy	41.4%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
✓	accuracy	99.9%	(.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z)))
✓	accuracy	99.8%	(fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))
✓	accuracy	53.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
✓	accuracy	32.5%	(/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))
✓	accuracy	99.9%	(fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	53.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
✓	accuracy	99.8%	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
✓	accuracy	60.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓	accuracy	56.3%	#s(approx (cos y) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
✓	accuracy	99.8%	(*.f64 (sin.f64 y) (neg.f64 z))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))))

Samples

106.0ms	84×	2	valid
64.0ms	127×	0	valid
26.0ms	31×	1	valid
23.0ms	14×	3	valid

Compiler

Compiled 307 to 56 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-cos: 57.0ms (31.9% of total)

ival-mult: 44.0ms (24.6% of total)

adjust: 32.0ms (17.9% of total)

ival-add: 17.0ms (9.5% of total)

ival-div: 11.0ms (6.1% of total)

ival-sub: 5.0ms (2.8% of total)

ival-sin: 5.0ms (2.8% of total)

const: 4.0ms (2.2% of total)

ival-neg: 3.0ms (1.7% of total)

exact: 1.0ms (0.6% of total)

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

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

series188.0ms (1.6%)

Memory

17.3MiB live, 127.9MiB allocated

Counts

22 → 624

Calls

Call 1

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

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

Calls

156 calls:

Time	Variable		Point	Expression
100.0ms	x	@	-inf	(* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z)))
6.0ms	y	@	-inf	(* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z)))
3.0ms	y	@	-inf	(/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))
2.0ms	z	@	0	(* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y))))
2.0ms	y	@	inf	(/ z (sin y))

simplify408.0ms (3.5%)

Memory

-23.6MiB live, 659.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 714×	`lower-fma.f64`
7 714×	`lower-fma.f32`
6 532×	`lower-*.f64`
6 532×	`lower-*.f32`
4 308×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1002	8762
1	3444	8443
0	8141	8010

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 612

Calls

Call 1

Inputs
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/ -1 (* z (sin y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(/ 1 (* x (cos y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/ 1 (* x (cos y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z)))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z))))
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2))))
(* 1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))
(* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z)))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z)))
(+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z)))
(* x (+ 1 (* -1/2 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))
(* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))
(* -1 (* x (- (* 1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1)))
(* -1 z)
(- (* -1/2 (* x y)) z)
(- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)
(- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z))))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z))))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z)))
(* -1/2 (* x y))
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1)))
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1)))
(+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1)))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1))
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1))
(* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1))
(* -1 (* z (+ 1 (* -1/6 (pow y 2)))))
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))))
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))))
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))))
(- (* 1/6 (* (pow y 2) z)) z)
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z)
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z)
(- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z)
(* -1/2 (* x y))
(* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x)))
(* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x)))
(* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x)))
(* -1/2 (* x y))
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y))))
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y))))
(* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y))))
(* -1/2 x)
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(* 1/6 (* y z))
(* z (+ (* -1/2 (/ x z)) (* 1/6 y)))
(* z (+ (* -1/2 (/ x z)) (* 1/6 y)))
(* z (+ (* -1/2 (/ x z)) (* 1/6 y)))
(* 1/6 (* y z))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))
(* -1/2 x)
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(* 1/6 (* y z))
(* y (+ (* -1/2 (/ x y)) (* 1/6 z)))
(* y (+ (* -1/2 (/ x y)) (* 1/6 z)))
(* y (+ (* -1/2 (/ x y)) (* 1/6 z)))
(* 1/6 (* y z))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y)))))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y)))))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y)))))
(* 1/6 (* y z))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(* -1/2 x)
(* x (- (* 1/6 (/ (* y z) x)) 1/2))
(* x (- (* 1/6 (/ (* y z) x)) 1/2))
(* x (- (* 1/6 (/ (* y z) x)) 1/2))
(* -1/2 x)
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x)))))
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x)))))
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x)))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
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(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z y)
(/ (+ z (* 1/6 (* (pow y 2) z))) y)
(/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))
(/ z (sin y))

Outputs
x
(+ x (* -1 (* y z)))
(fma.f64 y (neg.f64 z) x)
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 (.f64 y z) #s(literal 1/6 binary64) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 (-.f64 (.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 (neg.f64 z) (-.f64 (sin.f64 y) (.f64 x (/.f64 (cos.f64 y) z))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 (neg.f64 z) (-.f64 (sin.f64 y) (.f64 x (/.f64 (cos.f64 y) z))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 (neg.f64 z) (-.f64 (sin.f64 y) (.f64 x (/.f64 (cos.f64 y) z))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 z z) (.f64 x (.f64 x x)))) (/.f64 z (.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(fma.f64 y (fma.f64 y (fma.f64 (fma.f64 (neg.f64 z) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 z z) (.f64 x (.f64 x x)))) x) (.f64 (/.f64 z (.f64 x x)) #s(literal -1/3 binary64))) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 z z) (.f64 x (.f64 x x))))) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/ 1 (+ (* -1 (* z (sin y))) (* x (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(fma.f64 x (neg.f64 (/.f64 (cos.f64 y) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (.f64 z (sin.f64 y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 x (fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (cos.f64 y) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (fma.f64 (.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 z (sin.f64 y)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/.f64 (-.f64 (fma.f64 (.f64 z (.f64 z z)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) x)
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(/.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (.f64 z (.f64 z z)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 x)) (/.f64 (.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(fma.f64 z (/.f64 (sin.f64 y) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(fma.f64 z (fma.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (sin.f64 y) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 x x)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (sin.f64 y) (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 x (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/.f64 (-.f64 (fma.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (.f64 z (.f64 z z)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (fma.f64 x (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) z)
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(/.f64 (fma.f64 x (/.f64 (cos.f64 y) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (neg.f64 (fma.f64 (.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 x (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 (.f64 x (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) (neg.f64 z))
x
(+ x (* -1 (* y z)))
(fma.f64 y (neg.f64 z) x)
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 (.f64 y z) #s(literal 1/6 binary64) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(* -1 (* z (sin y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (cos y))
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rewrite407.0ms (3.5%)

Memory

6.5MiB live, 669.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 362×	`lower-*.f32`
4 344×	`lower-*.f64`
3 928×	`lower-fma.f32`
3 914×	`lower-fma.f64`
3 740×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	303
0	89	299
1	371	216
2	2953	216
0	8570	216

Stop Event

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

Counts

22 → 690

Calls

Call 1

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

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

eval225.0ms (1.9%)

Memory: 33.9MiB live, 334.6MiB allocated
Compiler: Compiled 43 202 to 2 941 computations (93.2% saved)

prune301.0ms (2.6%)

Memory

-6.6MiB live, 608.8MiB allocated

Pruning

40 alts after pruning (34 fresh and 6 done)

	Pruned	Kept	Total
New	1 353	26	1 379
Fresh	11	8	19
Picked	3	2	5
Done	0	4	4
Total	1 367	40	1 407

Accuracy

100.0%

Counts

1 407 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
✓	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	78.3%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓	99.8%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	16.8%	(/.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (neg.f64 (.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
	53.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (fma.f64 y (neg.f64 z) x))))
	60.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (*.f64 x (cos.f64 y)))))
	33.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
	60.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
▶	40.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
	53.0%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x))
	27.0%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 z)) (sin.f64 y)))
	60.1%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
✓	26.5%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
	17.7%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (+.f64 (fma.f64 z #s(literal 2/45 binary64) (.f64 #s(literal 1/6 binary64) (.f64 z #s(literal -1/6 binary64)))) (.f64 z #s(literal -1/120 binary64))) (neg.f64 (.f64 y y)) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
▶	17.6%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
	87.3%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
▶	41.3%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (neg.f64 (sin.f64 y))))
▶	93.4%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))))
	53.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z (* y 1/6)) (* x -1/2)) (.f64 (.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
	53.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))) x))
	38.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x))
	16.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (.f64 (fma.f64 y (.f64 z (fma.f64 y z x)) (.f64 x x)) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))) (fma.f64 y z x)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
	29.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
	7.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
	14.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 (.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
	14.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x (fma.f64 y z x))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
	15.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
▶	15.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
✓	53.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	29.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
✓	60.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
	38.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
✓	40.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	47.2%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (fma.f64 x (*.f64 y (/.f64 z (neg.f64 x))) x)))
	49.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
	17.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
	3.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))

Compiler

Compiled 1 400 to 730 computations (47.9% saved)

simplify527.0ms (4.5%)

Memory

-9.1MiB live, 842.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

26 994×	`lower-fma.f32`
26 990×	`lower-fma.f64`
5 120×	`lower-*.f32`
5 106×	`lower-*.f64`
2 564×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	349
0	90	327
1	179	326
2	380	326
3	984	324
4	2894	320
5	6440	320
0	8133	315

Stop Event

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

Calls

Call 1

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

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

localize439.0ms (3.7%)

Memory

-2.4MiB live, 279.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(neg.f64 (sin.f64 y))
✓	accuracy	99.8%	(*.f64 z (neg.f64 (sin.f64 y)))
✓	accuracy	41.4%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (neg.f64 (sin.f64 y))))
✓	accuracy	99.8%	(fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))
✓	accuracy	60.3%	#s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x)))
✓	accuracy	53.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
✓	accuracy	32.5%	(/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	40.4%	#s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 y (neg.f64 z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	52.7%	#s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z)))
✓	accuracy	41.4%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
✓	accuracy	100.0%	(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
✓	accuracy	99.8%	(/.f64 (sin.f64 y) x)
✓	accuracy	95.1%	(*.f64 z (/.f64 (sin.f64 y) x))
✓	accuracy	93.5%	(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))

Samples

251.0ms	80×	2	valid
78.0ms	127×	0	valid
29.0ms	14×	3	valid
25.0ms	35×	1	valid

Compiler

Compiled 261 to 56 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 353.0ms

ival-mult: 126.0ms (35.7% of total)

ival-sub: 88.0ms (24.9% of total)

ival-cos: 50.0ms (14.2% of total)

ival-div: 38.0ms (10.8% of total)

adjust: 21.0ms (5.9% of total)

ival-add: 20.0ms (5.7% of total)

ival-sin: 5.0ms (1.4% of total)

ival-neg: 4.0ms (1.1% of total)

exact: 1.0ms (0.3% of total)

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

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

series94.0ms (0.8%)

Memory

-2.6MiB live, 35.1MiB allocated

Counts

22 → 600

Calls

Call 1

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

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

Calls

150 calls:

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

simplify565.0ms (4.8%)

Memory

-10.3MiB live, 473.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 218×	`lower-fma.f64`
11 218×	`lower-fma.f32`
7 190×	`lower-*.f64`
7 190×	`lower-*.f32`
4 848×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	898	7743
1	3094	7290
0	9010	6994

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 589

Calls

Call 1

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

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

rewrite785.0ms (6.7%)

Memory

2.2MiB live, 450.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 786×	`lower-fma.f32`
6 782×	`lower-fma.f64`
5 078×	`lower-*.f32`
5 064×	`lower-*.f64`
4 166×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	325
0	90	305
1	351	254
2	2581	254
0	9866	252

Stop Event

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

Counts

22 → 263

Calls

Call 1

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

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

eval104.0ms (0.9%)

Memory: 13.3MiB live, 283.3MiB allocated
Compiler: Compiled 16 096 to 1 452 computations (91% saved)

prune208.0ms (1.8%)

Memory

-22.7MiB live, 342.5MiB allocated

Pruning

46 alts after pruning (37 fresh and 9 done)

	Pruned	Kept	Total
New	850	14	864
Fresh	6	23	29
Picked	2	3	5
Done	0	6	6
Total	858	46	904

Accuracy

100.0%

Counts

904 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
✓	99.8%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	78.3%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
✓	99.8%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	53.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (fma.f64 y (neg.f64 z) x))))
	60.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (*.f64 x (cos.f64 y)))))
	33.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
	60.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
✓	40.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
	53.0%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
	27.0%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 z)) (sin.f64 y)))
	60.1%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
✓	26.5%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
	17.7%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 2/45 binary64)) (fma.f64 #s(literal 1/36 binary64) z (*.f64 z #s(literal 1/120 binary64)))))) (neg.f64 z)))))
	7.7%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (/.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
	17.7%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
✓	17.6%	#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
	87.3%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
✓	41.3%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (neg.f64 (sin.f64 y))))
	17.8%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z #s(approx (neg (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
	17.7%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z #s(approx (neg (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
	93.4%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) (/.f64 #s(literal 1 binary64) x) (cos.f64 y))))
	89.3%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x)))))
	71.9%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 z (/.f64 (sin.f64 y) x)))))
	47.2%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))))
	35.0%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))))
	17.7%	#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) #s(approx (* z (neg (sin y))) (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))))
	53.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z (* y 1/6)) (* x -1/2)) (.f64 (.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
	38.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x))
	16.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (.f64 (fma.f64 y (.f64 z (fma.f64 y z x)) (.f64 x x)) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))) (fma.f64 y z x)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
	29.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
	7.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
	14.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 (.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
	14.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x (fma.f64 y z x))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
	15.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
	15.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x)))))
	15.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))))
✓	53.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
	29.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
✓	60.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
	38.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	38.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
✓	40.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	49.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
	3.1%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))

Compiler

Compiled 2 059 to 699 computations (66.1% saved)

regimes93.0ms (0.8%)

Memory

14.9MiB live, 172.9MiB allocated

Counts

76 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (fma.f64 x (*.f64 y (/.f64 z (neg.f64 x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z (* y 1/6)) (* x -1/2)) (.f64 (.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (/.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (fma.f64 y (neg.f64 z) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z #s(approx (neg (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) #s(approx (* z (neg (sin y))) (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z #s(approx (neg (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 2/45 binary64)) (fma.f64 #s(literal 1/36 binary64) z (*.f64 z #s(literal 1/120 binary64)))))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x (fma.f64 y z x))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (+.f64 (fma.f64 z #s(literal 2/45 binary64) (.f64 #s(literal 1/6 binary64) (.f64 z #s(literal -1/6 binary64)))) (.f64 z #s(literal -1/120 binary64))) (neg.f64 (.f64 y y)) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 (.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (.f64 (fma.f64 y (.f64 z (fma.f64 y z x)) (.f64 x x)) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))) (fma.f64 y z x)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 z (/.f64 (sin.f64 y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (*.f64 x (cos.f64 y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x (fma.f64 (.f64 (sin.f64 y) (neg.f64 z)) (/.f64 #s(literal 1 binary64) x) (cos.f64 y))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 z (sin.f64 y)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 z)) (sin.f64 y)))
(fma.f64 (sin.f64 y) (/.f64 (.f64 z (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)) (.f64 x (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 #s(approx (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (neg.f64 (.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x)))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (-.f64 (/.f64 (.f64 (.f64 x (cos.f64 y)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y)))))
(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64))) (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))

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

Calls

4 calls:

22.0ms	z
22.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
22.0ms	y
21.0ms	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)

regimes67.0ms (0.6%)

Memory

-6.2MiB live, 154.4MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (fma.f64 x (*.f64 y (/.f64 z (neg.f64 x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z (* y 1/6)) (* x -1/2)) (.f64 (.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (/.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (fma.f64 y (neg.f64 z) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z #s(approx (neg (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) #s(approx (* z (neg (sin y))) (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z #s(approx (neg (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 2/45 binary64)) (fma.f64 #s(literal 1/36 binary64) z (*.f64 z #s(literal 1/120 binary64)))))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x (fma.f64 y z x))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (+.f64 (fma.f64 z #s(literal 2/45 binary64) (.f64 #s(literal 1/6 binary64) (.f64 z #s(literal -1/6 binary64)))) (.f64 z #s(literal -1/120 binary64))) (neg.f64 (.f64 y y)) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 (.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (.f64 (fma.f64 y (.f64 z (fma.f64 y z x)) (.f64 x x)) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))) (fma.f64 y z x)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 z (/.f64 (sin.f64 y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (*.f64 x (cos.f64 y)))))
(-.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:

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

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes64.0ms (0.5%)

Memory

18.5MiB live, 138.7MiB allocated

Counts

53 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (fma.f64 x (*.f64 y (/.f64 z (neg.f64 x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z (* y 1/6)) (* x -1/2)) (.f64 (.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (/.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (fma.f64 y (neg.f64 z) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z #s(approx (neg (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) #s(approx (* z (neg (sin y))) (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z #s(approx (neg (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 2/45 binary64)) (fma.f64 #s(literal 1/36 binary64) z (*.f64 z #s(literal 1/120 binary64)))))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x (fma.f64 y z x))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (+.f64 (fma.f64 z #s(literal 2/45 binary64) (.f64 #s(literal 1/6 binary64) (.f64 z #s(literal -1/6 binary64)))) (.f64 z #s(literal -1/120 binary64))) (neg.f64 (.f64 y y)) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 (.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (.f64 (fma.f64 y (.f64 z (fma.f64 y z x)) (.f64 x x)) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))) (fma.f64 y z x)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (.f64 z (/.f64 (sin.f64 y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (*.f64 x (cos.f64 y)))))

Outputs

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

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

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

Calls

4 calls:

16.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
16.0ms	z
15.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
87.3%	3	`x`
80.5%	2	`y`
89.8%	3	`z`
80.0%	2	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes17.0ms (0.1%)

Memory

-0.1MiB live, 39.4MiB allocated

Counts

49 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (fma.f64 x (*.f64 y (/.f64 z (neg.f64 x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z (* y 1/6)) (* x -1/2)) (.f64 (.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (/.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (fma.f64 y (neg.f64 z) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z #s(approx (neg (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) #s(approx (* z (neg (sin y))) (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z #s(approx (neg (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 2/45 binary64)) (fma.f64 #s(literal 1/36 binary64) z (*.f64 z #s(literal 1/120 binary64)))))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x (fma.f64 y z x))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (+.f64 (fma.f64 z #s(literal 2/45 binary64) (.f64 #s(literal 1/6 binary64) (.f64 z #s(literal -1/6 binary64)))) (.f64 z #s(literal -1/120 binary64))) (neg.f64 (.f64 y y)) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 (.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (.f64 (fma.f64 y (.f64 z (fma.f64 y z x)) (.f64 x x)) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))) (fma.f64 y z x)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))

Outputs

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

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
89.8%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes62.0ms (0.5%)

Memory

-36.2MiB live, 165.9MiB allocated

Counts

48 → 4

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (fma.f64 x (*.f64 y (/.f64 z (neg.f64 x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z (* y 1/6)) (* x -1/2)) (.f64 (.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (/.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (fma.f64 y (neg.f64 z) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z #s(approx (neg (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) #s(approx (* z (neg (sin y))) (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z #s(approx (neg (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 2/45 binary64)) (fma.f64 #s(literal 1/36 binary64) z (*.f64 z #s(literal 1/120 binary64)))))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x (fma.f64 y z x))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (+.f64 (fma.f64 z #s(literal 2/45 binary64) (.f64 #s(literal 1/6 binary64) (.f64 z #s(literal -1/6 binary64)))) (.f64 z #s(literal -1/120 binary64))) (neg.f64 (.f64 y y)) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 (.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (.f64 (fma.f64 y (.f64 z (fma.f64 y z x)) (.f64 x x)) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))) (fma.f64 y z x)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 z (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (*.f64 z (neg.f64 (sin.f64 y))))

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

Calls

4 calls:

15.0ms	x
14.0ms	y
14.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
13.0ms	z

Results

Accuracy	Segments	Branch
64.0%	3	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
79.8%	4	`y`
75.2%	3	`x`
74.5%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes31.0ms (0.3%)

Memory

12.9MiB live, 93.4MiB allocated

Counts

46 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (fma.f64 x (*.f64 y (/.f64 z (neg.f64 x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z (* y 1/6)) (* x -1/2)) (.f64 (.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (/.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (fma.f64 y (neg.f64 z) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z #s(approx (neg (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) #s(approx (* z (neg (sin y))) (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z #s(approx (neg (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 2/45 binary64)) (fma.f64 #s(literal 1/36 binary64) z (*.f64 z #s(literal 1/120 binary64)))))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x (fma.f64 y z x))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (+.f64 (fma.f64 z #s(literal 2/45 binary64) (.f64 #s(literal 1/6 binary64) (.f64 z #s(literal -1/6 binary64)))) (.f64 z #s(literal -1/120 binary64))) (neg.f64 (.f64 y y)) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 (.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (.f64 (fma.f64 y (.f64 z (fma.f64 y z x)) (.f64 x x)) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))) (fma.f64 y z x)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

Outputs

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

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

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

Calls

2 calls:

14.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
68.9%	3	`x`
75.1%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes56.0ms (0.5%)

Memory

18.9MiB live, 139.0MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (*.f64 y (neg.f64 z))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (*.f64 z (-.f64 (/.f64 x z) y))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y)))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 #s(literal 1/6 binary64) (.f64 z (.f64 y (.f64 y y))))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x) (.f64 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (+ (* (* y z) (+ (* y z) x)) (* x x))) (fma.f64 x (*.f64 y (/.f64 z (neg.f64 x))) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y #s(approx (+ (* z (* y 1/6)) (* x -1/2)) (.f64 (.f64 y z) #s(literal 1/6 binary64))) (neg.f64 z)) x))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 x #s(approx (- (cos y) ( z (/ (sin y) x))) (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z x))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (/.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) x) (* (sin y) (neg z))) (fma.f64 y (neg.f64 z) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) #s(approx (+ (* (* y z) (+ (* y z) x)) (* x x)) (*.f64 x (fma.f64 z y x)))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z #s(approx (neg (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) #s(approx (* z (neg (sin y))) (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* (* y z) (+ (* y z) x)) (* x x)) (- x (* y z))) (.f64 x (.f64 x x))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) x) (* (sin y) (neg z))))) (.f64 z #s(approx (neg (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) x) (* (sin y) (neg z)))) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 2/45 binary64)) (fma.f64 #s(literal 1/36 binary64) z (*.f64 z #s(literal 1/120 binary64)))))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (/.f64 (.f64 x x) (fma.f64 y z x)) (/.f64 (.f64 y (.f64 z (.f64 y z))) (fma.f64 y z x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 x (fma.f64 y z x))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (/ (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (+ (* x (cos y)) (* z (sin y)))) #s(approx (* (+ (* -1/2 (cos (* y -2))) 1/2) (neg (/ z (sin y)))) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (+.f64 (fma.f64 z #s(literal 2/45 binary64) (.f64 #s(literal 1/6 binary64) (.f64 z #s(literal -1/6 binary64)))) (.f64 z #s(literal -1/120 binary64))) (neg.f64 (.f64 y y)) (*.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (fma.f64 x (.f64 y z) (.f64 (.f64 y z) (.f64 y z)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( (* y z) (+ (* y z) x)) (* x x)) (.f64 (.f64 x x) (fma.f64 y (/.f64 z x) #s(literal 1 binary64)))) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (.f64 (fma.f64 y (.f64 z (fma.f64 y z x)) (.f64 x x)) (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z)))) (fma.f64 y z x)) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))

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

Calls

4 calls:

14.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
13.0ms	z
13.0ms	y
12.0ms	x

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.1%)

Memory

-14.9MiB live, 22.8MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
44.6%	3	`x`
45.1%	3	`z`
40.2%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
40.2%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory

10.6MiB live, 10.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
40.2%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
40.2%	1	`x`
40.2%	1	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch40.0ms (0.3%)

Memory

-10.0MiB live, 67.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.8754432187676467e-139	1.5065169595240742e-130
19.0ms	-2.503256744009873e-119	-1.4599320715084254e-124

Samples

27.0ms

288×

valid

Compiler

Compiled 411 to 284 computations (30.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-cos: 8.0ms (40.5% of total)

ival-sin: 6.0ms (30.4% of total)

ival-mult: 5.0ms (25.3% of total)

ival-sub: 1.0ms (5.1% of total)

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

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

bsearch2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.8754432187676467e-139	1.5065169595240742e-130
1.0ms	-2.503256744009873e-119	-1.4599320715084254e-124

Compiler

Compiled 411 to 284 computations (30.9% saved)

bsearch71.0ms (0.6%)

Memory

6.1MiB live, 124.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	1.7969924539877242e-26	3.323367369916194e-7
26.0ms	-9.642728548622436e+38	-26773219588.29545
24.0ms	-1.2676463921337993e+118	-8.90479990163672e+112

Samples

49.0ms

496×

valid

Compiler

Compiled 769 to 494 computations (35.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-cos: 15.0ms (40.4% of total)

ival-sin: 12.0ms (32.3% of total)

ival-mult: 6.0ms (16.2% of total)

ival-sub: 3.0ms (8.1% of total)

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

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

bsearch35.0ms (0.3%)

Memory

-26.2MiB live, 57.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.11305038595753089	2.1524881190350382
18.0ms	-2673609859.6620193	-0.010404926586582026

Samples

18.0ms

272×

valid

Compiler

Compiled 508 to 320 computations (37% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 3.0ms (26.7% of total)

ival-mult: 3.0ms (26.7% of total)

ival-sin: 3.0ms (26.7% of total)

ival-sub: 1.0ms (8.9% of total)

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

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

bsearch24.0ms (0.2%)

Memory

5.3MiB live, 44.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.8831522928715777e+217	1.0411435886413583e+222
7.0ms	-4.333462602927964e+237	-2.5774872577744664e+237

Samples

16.0ms

192×

valid

Compiler

Compiled 243 to 158 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 4.0ms (38.6% of total)

ival-sin: 3.0ms (29% of total)

ival-mult: 2.0ms (19.3% of total)

ival-sub: 1.0ms (9.7% of total)

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

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

simplify11.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
16×	`+-commutative_binary64`
16×	`sub-neg_binary64`
14×	`cancel-sign-sub-inv_binary64`
10×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	353
1	109	353
2	129	353
3	137	353
4	141	353
5	142	353

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -299999999999999987169819040575957512300442602135347507185575726983550642943261859699871623379506848514756468075921408 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal -27000000000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 y #s(literal 1558380939346983/4722366482869645213696 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y #s(literal -1116892707587883/18014398509481984 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1062849512059437/9007199254740992 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) 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 -2600000000000000025271092774586387614604458901378611719018656502568310808459885820086947901302879280111730797462053265594452495804534086882092121605209667102879660763829053856265091518469691817215937684009437388524627222794912161291304960 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 y (neg.f64 z)))) (if (<=.f64 z #s(literal 279999999999999988969514760406825773067349733816486537050200870302235606115980049491037094900867032205932590789458100124708104249552834268531571186578623162962496317078188889626865247323873226474158857771151382423772594176 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))

Outputs
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -1548108335651699/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3621228318366551/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -299999999999999987169819040575957512300442602135347507185575726983550642943261859699871623379506848514756468075921408 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal -27000000000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 y #s(literal 1558380939346983/4722366482869645213696 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y #s(literal -299999999999999987169819040575957512300442602135347507185575726983550642943261859699871623379506848514756468075921408 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal -27000000000 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (neg.f64 (.f64 z (sin.f64 y)))) (if (<=.f64 y #s(literal 1558380939346983/4722366482869645213696 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 y #s(approx (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z)) (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))))
(if (<=.f64 y #s(literal -1116892707587883/18014398509481984 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1062849512059437/9007199254740992 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -1116892707587883/18014398509481984 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1062849512059437/9007199254740992 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 y z)))
(if (<=.f64 z #s(literal -2600000000000000025271092774586387614604458901378611719018656502568310808459885820086947901302879280111730797462053265594452495804534086882092121605209667102879660763829053856265091518469691817215937684009437388524627222794912161291304960 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (.f64 y (neg.f64 z)))) (if (<=.f64 z #s(literal 279999999999999988969514760406825773067349733816486537050200870302235606115980049491037094900867032205932590789458100124708104249552834268531571186578623162962496317078188889626865247323873226474158857771151382423772594176 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z))))))
(if (<=.f64 z #s(literal -2600000000000000025271092774586387614604458901378611719018656502568310808459885820086947901302879280111730797462053265594452495804534086882092121605209667102879660763829053856265091518469691817215937684009437388524627222794912161291304960 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (neg.f64 (.f64 y z)))) (if (<=.f64 z #s(literal 279999999999999988969514760406825773067349733816486537050200870302235606115980049491037094900867032205932590789458100124708104249552834268531571186578623162962496317078188889626865247323873226474158857771151382423772594176 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (neg.f64 (*.f64 y z))))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))

soundness1.1s (9.6%)

Memory

-12.3MiB live, 746.4MiB allocated

Rules

12 044×	`lower-fma.f64`
12 044×	`lower-fma.f32`
10 986×	`lower-fma.f64`
10 986×	`lower-fma.f32`
9 230×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1002	8762
1	3444	8443
0	8141	8010
0	97	624
1	292	619
2	837	613
3	2075	607
4	3601	607
5	6258	607
0	8452	586
0	466	5165
1	1569	5014
2	5630	4940
0	8796	4690
0	8	19
0	13	19
1	33	19
2	210	19
3	1964	19
0	8379	19

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×	node limit

Compiler

Compiled 391 to 186 computations (52.4% saved)

preprocess55.0ms (0.5%)

Memory: 4.7MiB live, 118.1MiB allocated
Compiler: Compiled 412 to 132 computations (68% 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

analyze0.0ms (0%)

sample1.3s (11.4%)

preprocess49.0ms (0.4%)

explain153.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.3%)

localize37.0ms (0.3%)

series8.0ms (0.1%)

simplify368.0ms (3.1%)

rewrite467.0ms (4%)

eval90.0ms (0.8%)

prune63.0ms (0.5%)

simplify407.0ms (3.5%)

localize453.0ms (3.9%)

series45.0ms (0.4%)

simplify432.0ms (3.7%)

rewrite446.0ms (3.8%)

eval246.0ms (2.1%)

prune314.0ms (2.7%)

simplify457.0ms (3.9%)

localize289.0ms (2.5%)

series188.0ms (1.6%)

simplify408.0ms (3.5%)

rewrite407.0ms (3.5%)

eval225.0ms (1.9%)

prune301.0ms (2.6%)

simplify527.0ms (4.5%)

localize439.0ms (3.7%)

series94.0ms (0.8%)

simplify565.0ms (4.8%)

rewrite785.0ms (6.7%)

eval104.0ms (0.9%)

prune208.0ms (1.8%)

regimes93.0ms (0.8%)

regimes67.0ms (0.6%)

regimes64.0ms (0.5%)

regimes17.0ms (0.1%)

regimes62.0ms (0.5%)

regimes31.0ms (0.3%)

regimes56.0ms (0.5%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

bsearch40.0ms (0.3%)

bsearch2.0ms (0%)

bsearch71.0ms (0.6%)

bsearch35.0ms (0.3%)

bsearch24.0ms (0.2%)

simplify11.0ms (0.1%)

soundness1.1s (9.6%)

preprocess55.0ms (0.5%)

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