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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (14.2%)

Memory

41.4MiB live, 1 243.7MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 909.0ms

ival-sin: 349.0ms (38.4% of total)

ival-cos: 335.0ms (36.9% of total)

ival-mult: 178.0ms (19.6% of total)

ival-add: 36.0ms (4% of total)

ival-true: 6.0ms (0.7% of total)

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

Bogosity

explain132.0ms (1.3%)

Memory

-19.5MiB live, 224.6MiB 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

52.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-cos: 10.0ms (33.4% of total)

ival-sin: 10.0ms (33.4% of total)

ival-mult: 7.0ms (23.4% of total)

ival-add: 2.0ms (6.7% of total)

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

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

preprocess57.0ms (0.5%)

Memory

5.9MiB live, 45.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (0.5%)

Memory

-53.7MiB live, 66.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sin.f64 y)
accuracy	0.01171875	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.10546875	(*.f64 x (cos.f64 y))
accuracy	0.1171875	(*.f64 z (sin.f64 y))

Samples

50.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-cos: 19.0ms (47.4% of total)

ival-mult: 14.0ms (34.9% of total)

ival-sin: 6.0ms (15% of total)

ival-add: 1.0ms (2.5% of total)

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

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

series11.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

9 calls:

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

simplify469.0ms (4.5%)

Memory

-25.5MiB live, 169.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 652×	`lower-fma.f64`
11 652×	`lower-fma.f32`
4 396×	`lower-*.f64`
4 396×	`lower-*.f32`
2 464×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	682
1	343	678
2	985	666
3	2635	660
4	4674	660
5	6996	660
0	8178	604

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

Calls

Call 1

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

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

rewrite523.0ms (5%)

Memory

37.1MiB live, 352.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8386	20

Stop Event

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

Counts

5 → 177

Calls

Call 1

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

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

eval49.0ms (0.5%)

Memory: 2.9MiB live, 79.4MiB allocated
Compiler: Compiled 10 212 to 555 computations (94.6% saved)

prune126.0ms (1.2%)

Memory

-31.1MiB live, 132.7MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	268	14	282
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	269	14	283

Accuracy

99.9%

Counts

283 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.5%	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))
	41.2%	(fma.f64 (.f64 (.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))
	41.2%	(fma.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))
▶	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
▶	42.4%	(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
	15.8%	(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
	41.9%	(.f64 (fma.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))))
	24.7%	(.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))))))
	56.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	56.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
▶	56.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	40.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
▶	61.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 1 062 to 416 computations (60.8% saved)

simplify164.0ms (1.6%)

Memory

30.4MiB live, 107.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(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 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	20608	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(.f64 (neg.f64 (.f64 x x)) (+.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	6272	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
cost-diff	0	(fma.f64 z y x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))

Rules

13 268×	`lower-fma.f32`
13 258×	`lower-fma.f64`
3 190×	`lower-*.f32`
3 172×	`lower-*.f64`
1 376×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	385
0	69	373
1	132	373
2	302	368
3	874	368
4	2799	365
5	6392	365
0	8077	353

Stop Event

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

Calls

Call 1

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

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

localize545.0ms (5.2%)

Memory

-14.0MiB live, 338.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.41215180680151864	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	6.668054146045283	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))))
accuracy	13.425489611943055	(/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))
accuracy	16.434572689554212	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	1.1344173329923166	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
accuracy	3.9567029130149556	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z)
accuracy	16.434572689554212	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	29.509923377199105	(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
accuracy	0	(cos.f64 y)
accuracy	0.10546875	(*.f64 (cos.f64 y) x)
accuracy	24.778295957484662	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
accuracy	0	(fma.f64 z y x)
accuracy	27.70455304324512	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(sin.f64 y)
accuracy	0.07421875	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy	0.10546875	(*.f64 (cos.f64 y) x)

Samples

200.0ms	57×	2	valid
159.0ms	81×	1	valid
42.0ms	118×	0	valid

Compiler

Compiled 389 to 40 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 224.0ms

ival-neg: 87.0ms (38.9% of total)

ival-cos: 36.0ms (16.1% of total)

ival-mult: 33.0ms (14.8% of total)

adjust: 26.0ms (11.6% of total)

ival-add: 16.0ms (7.2% of total)

ival-sin: 13.0ms (5.8% of total)

ival-div: 8.0ms (3.6% of total)

ival-sub: 4.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series98.0ms (0.9%)

Memory

-4.3MiB live, 163.1MiB allocated

Counts

17 → 480

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- 1/2 (* 1/2 (cos (+ y y)))) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))) (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x)))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x))))) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) z) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x)))))
14.0ms	y	@	0	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- 1/2 (* 1/2 (cos (+ y y)))) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))) (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x)))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x))))) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) z) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x)))))
9.0ms	z	@	inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- 1/2 (* 1/2 (cos (+ y y)))) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))) (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x)))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x))))) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) z) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x)))))
7.0ms	x	@	inf	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- 1/2 (* 1/2 (cos (+ y y)))) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))) (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x)))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x))))) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) z) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x)))))
7.0ms	z	@	0	((+ (* (sin y) z) (* (cos y) x)) (sin y) (* (cos y) x) (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (+ (* x (cos y)) (* z (sin y))) (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- 1/2 (* 1/2 (cos (+ y y)))) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y))))) (+ 1/2 (* 1/2 (cos (+ y y)))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x)))))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x))))) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) z) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x))) (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x)))))

simplify237.0ms (2.3%)

Memory

0.2MiB live, 310.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 060×	`lower-fma.f64`
7 060×	`lower-fma.f32`
6 758×	`lower-*.f64`
6 758×	`lower-*.f32`
3 436×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1112	11818
1	4009	11521
0	8334	11006

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 469

Calls

Call 1

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

rewrite474.0ms (4.5%)

Memory

27.9MiB live, 612.7MiB allocated

Rules

5 092×	`lower-*.f32`
5 074×	`lower-*.f64`
4 330×	`lower-fma.f32`
4 320×	`lower-fma.f64`
4 198×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	250
0	69	184
1	265	142
2	2130	142
0	8675	142

Stop Event

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

Counts

17 → 1 836

Calls

Call 1

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

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

eval459.0ms (4.4%)

Memory: 57.5MiB live, 740.6MiB allocated
Compiler: Compiled 166 029 to 4 332 computations (97.4% saved)

prune332.0ms (3.2%)

Memory

-18.9MiB live, 503.6MiB allocated

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	2 557	29	2 586
Fresh	7	2	9
Picked	2	3	5
Done	0	0	0
Total	2 566	34	2 600

Accuracy

100.0%

Counts

2 600 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.6%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))))))
	76.7%	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ ( z z) (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 (neg.f64 z) (sin.f64 y))))))
	41.2%	(fma.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	42.0%	(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
	51.5%	(/.f64 (fma.f64 (.f64 (.f64 z (sin.f64 y)) z) (sin.f64 y) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
▶	28.4%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) (neg.f64 x))))) y z) y x))
	99.2%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 (sin.f64 y) z) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
▶	25.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)) z))
	61.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
	24.9%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x)))))) (.f64 (neg.f64 z) (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (sin.f64 y)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))))
	42.1%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x)))))) (.f64 (neg.f64 z) (-.f64 (-.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (sin.f64 y)) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x (/.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)) (/.f64 #s(literal 1/2 binary64) (sin.f64 y)))))
▶	56.2%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
	56.3%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
	93.5%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
	87.6%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z))
	40.1%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
✓	56.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	12.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 z y) z) y (.f64 x (-.f64 x (.f64 z y))))))
	29.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 z y) z) y)) (-.f64 x (*.f64 z y))))
	32.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) (fma.f64 z y (neg.f64 x))))
	31.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y (neg.f64 x)) (*.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))))))
	12.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z y) z) y (.f64 x (-.f64 x (*.f64 z y)))))))
	31.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 x)))))
✓	61.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	40.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	40.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
	40.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
	41.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	54.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (/.f64 (*.f64 z y) x) x)))
	52.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
▶	18.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	40.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 1 477 to 776 computations (47.5% saved)

simplify145.0ms (1.4%)

Memory

11.5MiB live, 203.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)) z)
cost-diff	0	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)) z))
cost-diff	128	(*.f64 #s(literal 2 binary64) y)
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) (neg.f64 x))))) y z) y x)
cost-diff	0	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) (neg.f64 x))))) y z) y x))
cost-diff	256	(neg.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) (neg.f64 x)))))
cost-diff	384	(+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) (neg.f64 x))))
cost-diff	0	(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
cost-diff	0	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (* z y) x) (*.f64 z y))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))

Rules

12 114×	`lower-fma.f32`
12 098×	`lower-fma.f64`
3 040×	`lower-*.f32`
3 024×	`lower-*.f64`
2 644×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	430
0	101	425
1	190	423
2	407	419
3	1225	415
4	3399	415
5	6923	415
0	8179	400

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

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

localize574.0ms (5.5%)

Memory

-28.0MiB live, 424.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)) z)
accuracy	16.422190170017327	(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))
accuracy	16.66920240942918	(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y))
accuracy	38.29234673041475	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)) z))
accuracy	5.952233627976197	(/.f64 (*.f64 z z) (neg.f64 x))
accuracy	19.122549658855267	(/.f64 (fma.f64 z z (*.f64 x x)) x)
accuracy	26.502436384724803	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) (neg.f64 x))))) y z) y x))
accuracy	27.033736902747357	(+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) (neg.f64 x))))
accuracy	0.015625	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x)
accuracy	0.03125	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z)
accuracy	0.13671875	(fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x))
accuracy	26.61789576894789	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
accuracy	0	(*.f64 z y)
accuracy	26.254572293727197	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
accuracy	32.0639852307921	#s(approx (+ (* z y) x) (*.f64 z y))
accuracy	0.0703125	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
accuracy	0.09765625	(*.f64 (cos.f64 y) x)
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
accuracy	0.232753759768442	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))

Samples

124.0ms	76×	2	valid
87.0ms	96×	1	valid
40.0ms	18×	3	valid
31.0ms	60×	0	valid
4.0ms	6×	1	exit

Compiler

Compiled 387 to 60 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 238.0ms

ival-cos: 79.0ms (33.2% of total)

ival-mult: 50.0ms (21% of total)

adjust: 35.0ms (14.7% of total)

ival-add: 30.0ms (12.6% of total)

ival-div: 18.0ms (7.6% of total)

ival-sin: 9.0ms (3.8% of total)

ival-sub: 7.0ms (2.9% of total)

ival-neg: 5.0ms (2.1% of total)

const: 5.0ms (2.1% of total)

exact: 1.0ms (0.4% of total)

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

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

series97.0ms (0.9%)

Memory

2.8MiB live, 115.7MiB allocated

Counts

23 → 648

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	((/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (/ 1 (+ (* (sin y) z) (* (cos y) x))) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x)))) (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x))))) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x))))) y) z) y) x) (- 1/2 (* (cos (* 2 y)) 1/2)) (* 2 y) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (/ (- 1/2 (* (cos (* 2 y)) 1/2)) (sin y)) z) (* (cos y) x) (/ (+ (* z z) (* x x)) x) (/ (* z z) (neg x)) (/ (- 1/2 (* (cos (* 2 y)) 1/2)) (sin y)))
5.0ms	y	@	-inf	((/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (/ 1 (+ (* (sin y) z) (* (cos y) x))) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x)))) (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x))))) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x))))) y) z) y) x) (- 1/2 (* (cos (* 2 y)) 1/2)) (* 2 y) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (/ (- 1/2 (* (cos (* 2 y)) 1/2)) (sin y)) z) (* (cos y) x) (/ (+ (* z z) (* x x)) x) (/ (* z z) (neg x)) (/ (- 1/2 (* (cos (* 2 y)) 1/2)) (sin y)))
5.0ms	z	@	0	((/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (/ 1 (+ (* (sin y) z) (* (cos y) x))) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x)))) (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x))))) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x))))) y) z) y) x) (- 1/2 (* (cos (* 2 y)) 1/2)) (* 2 y) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (/ (- 1/2 (* (cos (* 2 y)) 1/2)) (sin y)) z) (* (cos y) x) (/ (+ (* z z) (* x x)) x) (/ (* z z) (neg x)) (/ (- 1/2 (* (cos (* 2 y)) 1/2)) (sin y)))
5.0ms	z	@	-inf	((/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (/ 1 (+ (* (sin y) z) (* (cos y) x))) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x)))) (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x))))) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x))))) y) z) y) x) (- 1/2 (* (cos (* 2 y)) 1/2)) (* 2 y) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (/ (- 1/2 (* (cos (* 2 y)) 1/2)) (sin y)) z) (* (cos y) x) (/ (+ (* z z) (* x x)) x) (/ (* z z) (neg x)) (/ (- 1/2 (* (cos (* 2 y)) 1/2)) (sin y)))
4.0ms	z	@	inf	((/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (/ 1 (+ (* (sin y) z) (* (cos y) x))) (+ (* (sin y) z) (* (cos y) x)) (sin y) (+ (* x (cos y)) (* z (sin y))) (+ (* z y) x) (* z y) (+ (* (sin y) z) (* (cos y) x)) (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (+ (* -1/6 (* z y)) (* -1/2 x)) (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x)))) (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x))))) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x))))) y) z) y) x) (- 1/2 (* (cos (* 2 y)) 1/2)) (* 2 y) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (* (/ (- 1/2 (* (cos (* 2 y)) 1/2)) (sin y)) z) (* (cos y) x) (/ (+ (* z z) (* x x)) x) (/ (* z z) (neg x)) (/ (- 1/2 (* (cos (* 2 y)) 1/2)) (sin y)))

simplify321.0ms (3.1%)

Memory

0.5MiB live, 237.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 076×	`lower-fma.f64`
10 076×	`lower-fma.f32`
7 702×	`lower-*.f64`
7 702×	`lower-*.f32`
4 030×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	10052
1	2722	9548
0	8545	8986

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 629

Calls

Call 1

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

rewrite260.0ms (2.5%)

Memory

12.8MiB live, 401.8MiB allocated

Rules

4 186×	`lower-/.f32`
4 176×	`lower-/.f64`
4 150×	`lower-fma.f32`
4 134×	`lower-fma.f64`
3 910×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	346
0	101	341
1	422	269
2	3331	260
0	8661	254

Stop Event

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

Counts

23 → 731

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (/.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)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (.f64 z (sin.f64 y)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(.f64 (pow.f64 (/.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)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))) (+.f64 (neg.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 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x)) (.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 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x)))) #s(literal 1 binary64)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (.f64 z (sin.f64 y)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x)))) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))
(.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) (-.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))))
(.f64 (pow.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)))
(.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (.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) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y)))) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x))))
(.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (.f64 z (sin.f64 y)) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (.f64 x (cos.f64 y)) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))))
(.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 z (sin.f64 y))))))
(.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y)))))
(.f64 (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (.f64 x (cos.f64 y))))
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(pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
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eval276.0ms (2.6%)

Memory: 31.1MiB live, 437.5MiB allocated
Compiler: Compiled 43 306 to 3 229 computations (92.5% saved)

prune711.0ms (6.8%)

Memory

-31.1MiB live, 496.7MiB allocated

Pruning

46 alts after pruning (42 fresh and 4 done)

	Pruned	Kept	Total
New	1 369	29	1 398
Fresh	13	13	26
Picked	4	1	5
Done	0	3	3
Total	1 386	46	1 432

Accuracy

100.0%

Counts

1 432 → 46

Alt Table

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Status	Accuracy	Program
	67.6%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))))))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	42.0%	(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))))
	56.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 z y x))))
	40.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (cos.f64 y) x))))
	29.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 z z) (.f64 (.f64 x x) x))) y (/.f64 (neg.f64 z) (.f64 x x))) y (/.f64 #s(literal 1 binary64) x))))
	34.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
	60.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) z) (* (cos y) x))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))))
▶	41.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) x)))
	56.3%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x))))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
▶	39.9%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/.f64 z (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))))
	24.6%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
	25.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y)) z))
	34.6%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (sin.f64 y)) z))
	24.7%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) z))
	17.6%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64))) (sin.f64 y)) z))
	18.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (/ (- 1/2 ( (cos (* 2 y)) 1/2)) (sin y)) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) z))
	18.1%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (/ (- 1/2 ( (cos (* 2 y)) 1/2)) (sin y)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) z))
	61.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
	2.4%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x))))) y) z) y) x) (/.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) x)))
	18.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (/ (- 1/2 (* (cos (* 2 y)) 1/2)) (sin y)) z) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) z) (fma.f64 #s(literal 1/36 binary64) z (.f64 #s(literal 1/120 binary64) z))) (.f64 y y) (.f64 #s(literal -1/6 binary64) z)) (.f64 y y) z) y)))
▶	93.5%	#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
	87.6%	#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z))
	40.1%	#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (*.f64 (sin.f64 y) z))
	42.1%	#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x)))))) (.f64 (neg.f64 z) (-.f64 (-.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (sin.f64 y)) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x (/.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)) (/.f64 #s(literal 1/2 binary64) (sin.f64 y)))))
	56.3%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x))
	40.8%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
	40.9%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
	3.0%	#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal -1/6 binary64)) z)))
	18.1%	#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (.f64 (neg.f64 z) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
	2.6%	#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) z))) (.f64 (.f64 y y) y))))
✓	56.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	12.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 z y) z) y (.f64 x (-.f64 x (.f64 z y))))))
	29.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 z y) z) y)) (-.f64 x (*.f64 z y))))
	12.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z y) z) y (.f64 x (-.f64 x (*.f64 z y)))))))
▶	31.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 x)))))
✓	61.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	40.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	40.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
	40.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
▶	41.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	54.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
	52.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
✓	18.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	40.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 1 659 to 930 computations (43.9% saved)

simplify165.0ms (1.6%)

Memory

39.4MiB live, 218.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/.f64 z (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))))
cost-diff	1088	(/.f64 z (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 1 binary64))))
cost-diff	6464	(pow.f64 (sin.f64 y) #s(literal 1 binary64))
cost-diff	0	(fma.f64 z y x)
cost-diff	0	(*.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x)))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 x)))))
cost-diff	2368	(.f64 (.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 x))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ 1 (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
cost-diff	0	(/.f64 (sin.f64 y) x)
cost-diff	0	(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
cost-diff	704	(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)

Rules

14 782×	`lower-fma.f32`
14 776×	`lower-fma.f64`
4 324×	`lower-*.f32`
4 316×	`lower-*.f64`
1 994×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	264
0	71	266
1	144	225
2	338	219
3	1035	219
4	3726	215
0	8247	207

Stop Event

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

Calls

Call 1

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

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

localize238.0ms (2.3%)

Memory

-15.4MiB live, 302.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sin.f64 y)
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
accuracy	0.2421875	(/.f64 z (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 1 binary64))))
accuracy	38.29234673041475	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/.f64 z (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))))
accuracy	0.0859375	(*.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x)))
accuracy	0.27837106588779326	(/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 x)))
accuracy	27.70455304324512	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 x)))))
accuracy	33.0514953611103	(.f64 (.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 x))))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.240566259768442	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) x)))
accuracy	37.12692343760115	#s(approx (/ 1 (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) x))
accuracy	0.10546875	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
accuracy	24.778295957484662	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
accuracy	26.45647227701492	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.00390625	(sin.f64 y)
accuracy	0.07421875	(fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy	0.12890625	(/.f64 (sin.f64 y) x)
accuracy	4.071032563083063	(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)

Samples

139.0ms	198×	0	valid
40.0ms	58×	1	valid

Compiler

Compiled 218 to 45 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-pow: 40.0ms (28.6% of total)

ival-mult: 31.0ms (22.2% of total)

ival-div: 21.0ms (15% of total)

ival-cos: 15.0ms (10.7% of total)

ival-sin: 11.0ms (7.9% of total)

ival-add: 10.0ms (7.2% of total)

adjust: 5.0ms (3.6% of total)

ival-sub: 4.0ms (2.9% of total)

ival-neg: 2.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series86.0ms (0.8%)

Memory

-10.0MiB live, 128.9MiB allocated

Counts

20 → 564

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	((* (+ (* z (/ (sin y) x)) (cos y)) x) (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (/ 1 (+ (* (sin y) z) (* (cos y) x))) (/ 1 x) (* (* (+ (* z y) x) (+ (* z y) (neg x))) (/ 1 (+ (* z y) (neg x)))) (+ (* x (cos y)) (* z (sin y))) (* (+ (* z y) x) (+ (* z y) (neg x))) (+ (* z y) x) (pow (sin y) 1) (/ z (/ 1 (pow (sin y) 1))) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/ 1 (pow (sin y) 1)) (sin y) (/ 1 (+ (* z y) (neg x))))
13.0ms	y	@	0	((* (+ (* z (/ (sin y) x)) (cos y)) x) (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (/ 1 (+ (* (sin y) z) (* (cos y) x))) (/ 1 x) (* (* (+ (* z y) x) (+ (* z y) (neg x))) (/ 1 (+ (* z y) (neg x)))) (+ (* x (cos y)) (* z (sin y))) (* (+ (* z y) x) (+ (* z y) (neg x))) (+ (* z y) x) (pow (sin y) 1) (/ z (/ 1 (pow (sin y) 1))) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/ 1 (pow (sin y) 1)) (sin y) (/ 1 (+ (* z y) (neg x))))
4.0ms	y	@	inf	((* (+ (* z (/ (sin y) x)) (cos y)) x) (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (/ 1 (+ (* (sin y) z) (* (cos y) x))) (/ 1 x) (* (* (+ (* z y) x) (+ (* z y) (neg x))) (/ 1 (+ (* z y) (neg x)))) (+ (* x (cos y)) (* z (sin y))) (* (+ (* z y) x) (+ (* z y) (neg x))) (+ (* z y) x) (pow (sin y) 1) (/ z (/ 1 (pow (sin y) 1))) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/ 1 (pow (sin y) 1)) (sin y) (/ 1 (+ (* z y) (neg x))))
4.0ms	y	@	-inf	((* (+ (* z (/ (sin y) x)) (cos y)) x) (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (/ 1 (+ (* (sin y) z) (* (cos y) x))) (/ 1 x) (* (* (+ (* z y) x) (+ (* z y) (neg x))) (/ 1 (+ (* z y) (neg x)))) (+ (* x (cos y)) (* z (sin y))) (* (+ (* z y) x) (+ (* z y) (neg x))) (+ (* z y) x) (pow (sin y) 1) (/ z (/ 1 (pow (sin y) 1))) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/ 1 (pow (sin y) 1)) (sin y) (/ 1 (+ (* z y) (neg x))))
3.0ms	x	@	-inf	((* (+ (* z (/ (sin y) x)) (cos y)) x) (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (+ (* z (/ (sin y) x)) (cos y)) (/ (sin y) x) (+ (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (/ 1 (+ (* (sin y) z) (* (cos y) x))) (/ 1 x) (* (* (+ (* z y) x) (+ (* z y) (neg x))) (/ 1 (+ (* z y) (neg x)))) (+ (* x (cos y)) (* z (sin y))) (* (+ (* z y) x) (+ (* z y) (neg x))) (+ (* z y) x) (pow (sin y) 1) (/ z (/ 1 (pow (sin y) 1))) (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/ 1 (pow (sin y) 1)) (sin y) (/ 1 (+ (* z y) (neg x))))

simplify259.0ms (2.5%)

Memory

15.9MiB live, 283.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 218×	`lower-fma.f64`
8 218×	`lower-fma.f32`
7 304×	`lower-*.f64`
7 304×	`lower-*.f32`
3 456×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	834	7199
1	2836	6898
0	8281	6487

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 547

Calls

Call 1

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

rewrite276.0ms (2.6%)

Memory

10.9MiB live, 325.9MiB allocated

Rules

6 298×	`lower-fma.f32`
6 292×	`lower-fma.f64`
4 422×	`lower-*.f32`
4 414×	`lower-*.f64`
3 556×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	239
0	71	235
1	316	167
2	2351	167
0	8840	161

Stop Event

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

Counts

20 → 490

Calls

Call 1

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

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

eval193.0ms (1.8%)

Memory: 27.4MiB live, 348.1MiB allocated
Compiler: Compiled 24 590 to 2 214 computations (91% saved)

prune355.0ms (3.4%)

Memory

-73.6MiB live, 480.8MiB allocated

Pruning

52 alts after pruning (45 fresh and 7 done)

	Pruned	Kept	Total
New	1 065	18	1 083
Fresh	10	27	37
Picked	2	3	5
Done	0	4	4
Total	1 077	52	1 129

Accuracy

100.0%

Counts

1 129 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.6%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))))))
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
	42.0%	(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))))
	56.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 z y x))))
	40.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))))
	61.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (cos.f64 y) x))))
	34.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
	60.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) z) (* (cos y) x))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))))
✓	41.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) x)))
	56.3%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x))))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
	15.5%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/.f64 z (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
	15.4%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
	39.9%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/.f64 z (/.f64 #s(literal 1 binary64) (sin.f64 y))))
	18.1%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/.f64 z #s(approx (/ 1 (pow (sin y) 1)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
	24.6%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
	34.6%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (sin.f64 y)) z))
	40.1%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
	18.1%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (/ (- 1/2 ( (cos (* 2 y)) 1/2)) (sin y)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) z))
	61.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
	18.1%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (/ z (/ 1 (pow (sin y) 1))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 z (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) y) y (.f64 #s(literal -1/6 binary64) z)) (.f64 y y) z) y)))
	18.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (/ z (/ 1 (pow (sin y) 1))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
	2.4%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x))))) y) z) y) x) (/.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) x)))
	18.0%	#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (/ (- 1/2 (* (cos (* 2 y)) 1/2)) (sin y)) z) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) z) (fma.f64 #s(literal 1/36 binary64) z (.f64 #s(literal 1/120 binary64) z))) (.f64 y y) (.f64 #s(literal -1/6 binary64) z)) (.f64 y y) z) y)))
	52.1%	#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) x) z)) (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x x)))))
✓	93.5%	#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
	87.6%	#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z))
	52.1%	#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (.f64 #s(approx (+ ( z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64))) x))
	33.9%	#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (.f64 #s(approx (+ ( z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
	56.3%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x))
	40.8%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
	40.9%	#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
	3.0%	#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal -1/6 binary64)) z)))
	18.1%	#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (.f64 (neg.f64 z) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
	2.6%	#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) z))) (.f64 (.f64 y y) y))))
✓	56.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	29.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 z y) z) y)) (-.f64 x (*.f64 z y))))
	56.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 y z (neg.f64 x)) (.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y z (neg.f64 x))))))
	2.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z (neg.f64 x)) (fma.f64 y z x)) (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 y z) y) z (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 y z))))))
	22.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z (neg.f64 x)) (fma.f64 y z x))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 x)))))
	12.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) #s(approx (/ 1 (+ (* z y) (neg x))) (/.f64 (+.f64 (/.f64 x (.f64 (.f64 z z) y)) (/.f64 #s(literal 1 binary64) z)) y))))
	13.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) #s(approx (/ 1 (+ (* z y) (neg x))) (/.f64 #s(literal 1 binary64) (*.f64 z y)))))
	13.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 #s(approx (+ (* z y) x) (*.f64 z y)) (fma.f64 z y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 x)))))
✓	61.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
	11.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (+ (* z y) (neg x))) (.f64 (fma.f64 z z (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) y)) (neg.f64 y))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 x)))))
	20.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (+ (* z y) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 x)))))
	40.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
	40.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
	40.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
✓	41.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	54.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
✓	18.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
	40.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))

Compiler

Compiled 2 789 to 869 computations (68.8% saved)

regimes135.0ms (1.3%)

Memory

34.0MiB live, 329.7MiB allocated

Counts

91 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 y x) #s(literal -1/2 binary64))) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 #s(approx (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x))))) (*.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal -1/6 binary64)) z)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) y x))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (+ (* (+ (* (neg (+ (/ (+ (* z z) (* x x)) x) (+ (* -1/2 x) (/ (* z z) (neg x))))) y) z) y) x) (/.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) x)))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (/ (- 1/2 ( (cos (* 2 y)) 1/2)) (sin y)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) y)) z))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 x (/.f64 (*.f64 z y) x) x)))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (/.f64 (*.f64 z y) x) x x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* z y)) (* -1/2 x)) (.f64 #s(literal -1/6 binary64) (.f64 z y))) y z) y x))
#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (.f64 #s(approx (+ ( z (/ (sin y) x)) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) z) (* (cos y) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (.f64 (neg.f64 z) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y z) y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) z) (* (cos y) x)) (fma.f64 z y x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (+ (* z y) (neg x))) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 x)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 y y) x)))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (/ z (/ 1 (pow (sin y) 1))) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 #s(approx (/ (- 1/2 ( (cos (* 2 y)) 1/2)) (sin y)) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) z))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/.f64 z #s(approx (/ 1 (pow (sin y) 1)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) (fma.f64 z y (neg.f64 x))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* z y)) (* -1/2 x)) y) z) y) x) (.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) z))) (.f64 (.f64 y y) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) #s(approx (/ 1 (+ (* z y) (neg x))) (/.f64 #s(literal 1 binary64) (*.f64 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 #s(approx (+ (* z y) x) (*.f64 z y)) (fma.f64 z y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 x)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 z y) z) y)) (-.f64 x (*.f64 z y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 x)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 y z (neg.f64 x)) (.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (fma.f64 y z (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (neg.f64 y) (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (/ z (/ 1 (pow (sin y) 1))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 z (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) y) y (.f64 #s(literal -1/6 binary64) z)) (.f64 y y) z) y)))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z y (neg.f64 x)) (*.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))))))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) #s(approx (* (/ (- 1/2 (* (cos (* 2 y)) 1/2)) (sin y)) z) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) z) (fma.f64 #s(literal 1/36 binary64) z (.f64 #s(literal 1/120 binary64) z))) (.f64 y y) (.f64 #s(literal -1/6 binary64) z)) (.f64 y y) z) y)))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 z z (.f64 x x)) x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (.f64 z z) (neg.f64 x))))) y z) y x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 z y x) (fma.f64 z y (neg.f64 x))) #s(approx (/ 1 (+ (* z y) (neg x))) (/.f64 (+.f64 (/.f64 x (.f64 (.f64 z z) y)) (/.f64 #s(literal 1 binary64) z)) y))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z (neg.f64 x)) (fma.f64 y z x))) (fma.f64 y z x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 x)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 #s(approx ( (+ (* z y) x) (+ (* z y) (neg x))) (.f64 (fma.f64 z z (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 x x) y)) (neg.f64 y))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y (neg.f64 x)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 z y) z) y (.f64 x (-.f64 x (.f64 z y))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z y) z) y (.f64 x (-.f64 x (*.f64 z y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 z z) (.f64 (.f64 x x) x))) y (/.f64 (neg.f64 z) (.f64 x x))) y (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (/.f64 (.f64 (fma.f64 y z (neg.f64 x)) (fma.f64 y z x)) (fma.f64 (.f64 (.f64 z z) z) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 y z) y) z (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 y z))))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))
#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (*.f64 (sin.f64 y) z))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))
#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (.f64 #s(approx (+ ( z (/ (sin y) x)) (cos y)) (/.f64 (*.f64 (sin.f64 y) z) x)) x))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/.f64 z (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (sin.f64 y) z))))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/.f64 z (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/.f64 z (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z))
#s(approx (+ (* (sin y) z) (* (cos y) x)) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z))
#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (/.f64 z (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 y)) z))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (sin.f64 y)) z))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x)))))) (.f64 (neg.f64 z) (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (sin.f64 y)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) z))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64))) (sin.f64 y)) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) z) (* (cos y) x))) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 x))))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 x) (cos.f64 y) (.f64 z (sin.f64 y))))
(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))
(.f64 (fma.f64 (neg.f64 (.f64 z z)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (cos.f64 y) (*.f64 (sin.f64 y) z))))
(/.f64 (fma.f64 (.f64 (.f64 z (sin.f64 y)) z) (sin.f64 y) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) (-.f64 (.f64 (sin.f64 y) z) (.f64 (cos.f64 y) x)))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(approx (/ ( z z) (+ (* (neg z) (sin y)) (* (cos y) x))) (/.f64 (neg.f64 z) (sin.f64 y))))))
#s(approx (/ (+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (+ 1/2 (* 1/2 (cos (+ y y)))))) (- (* (sin y) z) (* (cos y) x))) (fma.f64 x (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 (sin.f64 y) z) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))
(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))
(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))))))
(fma.f64 (.f64 (.f64 (cos.f64 y) x) x) (/.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x))))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* (cos y) x)))) (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64))) x) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) x) z)) (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x x)))))
#s(approx (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) x) (/ x (+ (* (neg z) (sin y)) (* (cos y) x)))) (neg (* (- 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (+ (* (neg z) (sin y)) (* (cos y) x)))))) (.f64 (neg.f64 z) (-.f64 (-.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (sin.f64 y)) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 x (/.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)) (/.f64 #s(literal 1/2 binary64) (sin.f64 y)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)))) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x))) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)))))
(.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)))))))))

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

Calls

4 calls:

36.0ms	z
36.0ms	y
33.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
25.0ms	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)

regimes87.0ms (0.8%)

Memory

-27.0MiB live, 195.5MiB allocated

Counts

58 → 3

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
17.0ms	y
16.0ms	z
16.0ms	x

Results

Accuracy	Segments	Branch
74.5%	3	`x`
80.6%	4	`y`
80.2%	3	`z`
65.1%	3	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes31.0ms (0.3%)

Memory

-3.3MiB live, 78.3MiB allocated

Counts

49 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

14.0ms	z
14.0ms	y

Results

Accuracy	Segments	Branch
76.6%	3	`y`
71.8%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes63.0ms (0.6%)

Memory

-0.6MiB live, 118.8MiB allocated

Counts

48 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
14.0ms	x
14.0ms	y
13.0ms	z

Results

Accuracy	Segments	Branch
56.7%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
56.7%	1	`z`
56.7%	1	`x`
56.7%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes25.0ms (0.2%)

Memory

-19.7MiB live, 19.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

20.0ms	y
2.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
41.9%	1	`y`
46.0%	3	`x`
41.9%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
49.8%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
18.2%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
18.2%	1	`y`
18.2%	1	`x`
18.2%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch42.0ms (0.4%)

Memory

9.5MiB live, 84.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.6763037065234716e-5	448158.4086632636
20.0ms	-5.783206357898062e+139	-4.3326432508031107e+133

Samples

27.0ms

304×

valid

Compiler

Compiled 357 to 242 computations (32.2% saved)

Precisions

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

ival-sin: 8.0ms (40% of total)

ival-cos: 6.0ms (30% of total)

ival-mult: 4.0ms (20% of total)

ival-add: 1.0ms (5% of total)

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

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

bsearch41.0ms (0.4%)

Memory

-3.2MiB live, 79.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.00014138685008050479	1.9769181253425554
25.0ms	-16285217637975462.0	-1614421.0194843044

Samples

28.0ms

288×

valid

Compiler

Compiled 429 to 266 computations (38% saved)

Precisions

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

ival-cos: 7.0ms (37.4% of total)

ival-sin: 6.0ms (32% of total)

ival-mult: 5.0ms (26.7% of total)

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

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

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

bsearch33.0ms (0.3%)

Memory

-18.4MiB live, 59.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.1965397077160985e+84	3.6074963738201256e+86
17.0ms	-5.783206357898062e+139	-4.3326432508031107e+133

Samples

21.0ms

240×

valid

Compiler

Compiled 303 to 190 computations (37.3% saved)

Precisions

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

ival-cos: 5.0ms (35.2% of total)

ival-sin: 5.0ms (35.2% of total)

ival-mult: 3.0ms (21.1% of total)

ival-add: 1.0ms (7% of total)

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

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

simplify6.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	208
1	57	208

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(if (<=.f64 z #s(literal -47999999999999997038090838744094605471098658389967992250133113563059532531258004665923867455532516247227867839805238159175302808338432 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 205000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
(if (<=.f64 y #s(literal -1620000 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1498797955988901/288230376151711744 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal -9499999999999999981466859252322498274418965364030791193164636067317486923214088320465116880307737507902915075593420714201554648513330020352 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (if (<=.f64 z #s(literal 350000000000000018924236024317333135709026770306680175649731719850201837812950323167232 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

Outputs
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 z #s(literal -47999999999999997038090838744094605471098658389967992250133113563059532531258004665923867455532516247227867839805238159175302808338432 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 205000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z))))
(if (<=.f64 z #s(literal -47999999999999997038090838744094605471098658389967992250133113563059532531258004665923867455532516247227867839805238159175302808338432 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 205000 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -1620000 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1498797955988901/288230376151711744 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) z) y x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -1620000 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1498797955988901/288230376151711744 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) z) y x)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
(if (<=.f64 z #s(literal -9499999999999999981466859252322498274418965364030791193164636067317486923214088320465116880307737507902915075593420714201554648513330020352 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 z y))) (if (<=.f64 z #s(literal 350000000000000018924236024317333135709026770306680175649731719850201837812950323167232 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z y)))

soundness756.0ms (7.2%)

Memory

1.2MiB live, 430.6MiB allocated

Rules

11 652×	`lower-fma.f64`
11 652×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
7 060×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1112	11818
1	4009	11521
0	8334	11006
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8386	20
0	109	682
1	343	678
2	985	666
3	2635	660
4	4674	660
5	6996	660
0	8178	604

Stop Event

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

Compiler

Compiled 197 to 95 computations (51.8% saved)

preprocess60.0ms (0.6%)

Memory: 16.0MiB live, 54.8MiB allocated
Compiler: Compiled 214 to 84 computations (60.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (14.2%)

explain132.0ms (1.3%)

preprocess57.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize56.0ms (0.5%)

series11.0ms (0.1%)

simplify469.0ms (4.5%)

rewrite523.0ms (5%)

eval49.0ms (0.5%)

prune126.0ms (1.2%)

simplify164.0ms (1.6%)

localize545.0ms (5.2%)

series98.0ms (0.9%)

simplify237.0ms (2.3%)

rewrite474.0ms (4.5%)

eval459.0ms (4.4%)

prune332.0ms (3.2%)

simplify145.0ms (1.4%)

localize574.0ms (5.5%)

series97.0ms (0.9%)

simplify321.0ms (3.1%)

rewrite260.0ms (2.5%)

eval276.0ms (2.6%)

prune711.0ms (6.8%)

simplify165.0ms (1.6%)

localize238.0ms (2.3%)

series86.0ms (0.8%)

simplify259.0ms (2.5%)

rewrite276.0ms (2.6%)

eval193.0ms (1.8%)

prune355.0ms (3.4%)

regimes135.0ms (1.3%)

regimes87.0ms (0.8%)

regimes31.0ms (0.3%)

regimes63.0ms (0.6%)

regimes25.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch42.0ms (0.4%)

bsearch41.0ms (0.4%)

bsearch33.0ms (0.3%)

simplify6.0ms (0.1%)

soundness756.0ms (7.2%)

preprocess60.0ms (0.6%)

end0.0ms (0%)

Profiling