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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.6s (14.4%)

Memory

25.2MiB live, 1 558.6MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 757.0ms

ival-sin: 218.0ms (28.8% of total)

ival-mult: 202.0ms (26.7% of total)

ival-cos: 196.0ms (25.9% of total)

ival-add: 131.0ms (17.3% of total)

ival-true: 6.0ms (0.8% of total)

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

Bogosity

explain461.0ms (4%)

Memory

-37.5MiB live, 189.6MiB 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

86.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-sin: 37.0ms (63.2% of total)

ival-cos: 12.0ms (20.5% of total)

ival-mult: 7.0ms (12% of total)

ival-add: 2.0ms (3.4% of total)

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

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

preprocess49.0ms (0.4%)

Memory

18.9MiB live, 56.3MiB 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 x (cos.f64 y) (*.f64 z (sin.f64 y)))

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

1.8MiB live, 1.8MiB 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

8.9MiB live, 8.9MiB 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 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize37.0ms (0.3%)

Memory

-3.1MiB live, 71.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.11328125	(*.f64 x (cos.f64 y))
accuracy	0.13671875	(*.f64 z (sin.f64 y))

Samples

30.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-sin: 10.0ms (45.7% of total)

ival-cos: 7.0ms (32% of total)

ival-mult: 3.0ms (13.7% of total)

ival-add: 1.0ms (4.6% of total)

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

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

series8.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

simplify588.0ms (5.2%)

Memory

-16.1MiB live, 389.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 080×	`lower-fma.f64`
14 080×	`lower-fma.f32`
3 812×	`lower-*.f64`
3 812×	`lower-*.f32`
2 968×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	620
1	295	616
2	892	610
3	2078	604
4	3746	604
5	6389	604
0	8805	554

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite451.0ms (4%)

Memory

-4.0MiB live, 342.9MiB 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	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8386	18

Stop Event

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

Counts

4 → 176

Calls

Call 1

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

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

eval103.0ms (0.9%)

Memory: -4.3MiB live, 33.1MiB allocated
Compiler: Compiled 10 060 to 552 computations (94.5% saved)

prune124.0ms (1.1%)

Memory

30.5MiB live, 75.6MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	252	18	270
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	253	18	271

Accuracy

99.9%

Counts

271 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.9%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
▶	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	74.9%	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
	31.8%	(/.f64 (-.f64 (.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) (.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (pow.f64 (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))) #s(literal 2 binary64)))
	48.2%	(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
▶	42.8%	(+.f64 (.f64 x (cos.f64 y)) #s(approx ( z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))))
	45.8%	(+.f64 (.f64 x (cos.f64 y)) #s(approx ( z (sin y)) (.f64 z (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
	58.7%	(+.f64 (.f64 x (cos.f64 y)) #s(approx ( z (sin y)) (*.f64 z y)))
	42.8%	(+.f64 (.f64 x (cos.f64 y)) #s(approx ( z (sin y)) (.f64 y (fma.f64 (.f64 z (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) z))))
	69.0%	(+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	28.6%	(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) #s(literal 2 binary64)))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 (.f64 z (sin.f64 y)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))))
▶	48.2%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
▶	42.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	40.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 z y) #s(literal -1/6 binary64))) z) x))
	40.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) z) x))
▶	35.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
	66.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

Compiler

Compiled 958 to 482 computations (49.7% saved)

simplify530.0ms (4.6%)

Memory

-29.1MiB live, 245.8MiB 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	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
cost-diff	6720	(-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
cost-diff	0	#s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	128	(+.f64 (.f64 x (cos.f64 y)) #s(approx ( z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
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 x (cos.f64 y))
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))

Rules

13 922×	`lower-fma.f32`
13 914×	`lower-fma.f64`
5 080×	`lower-*.f32`
5 056×	`lower-*.f64`
1 846×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	321
0	72	309
1	132	307
2	273	307
3	856	307
4	2656	303
5	5284	301
0	8344	292

Stop Event

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

Calls

Call 1

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

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

localize422.0ms (3.7%)

Memory

20.6MiB live, 302.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	1.5468688074906176	(-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
accuracy	4.2587853384664385	(.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
accuracy	10.93447204763716	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	28.613969621143838	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
accuracy	0.11328125	(*.f64 x (cos.f64 y))
accuracy	0.140625	(*.f64 y #s(literal 1/120 binary64))
accuracy	2.159312471312772	(.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))
accuracy	38.28923889290692	#s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))
accuracy	0	(sin.f64 y)
accuracy	0.13671875	(*.f64 z (sin.f64 y))
accuracy	41.05511795253041	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
accuracy	0	(fma.f64 z y x)
accuracy	36.92930575960702	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.07421875	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
accuracy	0.11328125	(*.f64 x (cos.f64 y))

Samples

104.0ms	160×	0	valid
92.0ms	57×	1	valid
32.0ms	39×	2	valid

Compiler

Compiled 288 to 39 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 198.0ms

ival-mult: 75.0ms (37.9% of total)

ival-add: 63.0ms (31.9% of total)

ival-cos: 27.0ms (13.7% of total)

adjust: 10.0ms (5.1% of total)

const: 8.0ms (4% of total)

ival-sin: 8.0ms (4% of total)

ival-sub: 5.0ms (2.5% of total)

ival-div: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.4%)

Memory

8.8MiB live, 87.1MiB allocated

Counts

17 → 432

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y z)) (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* -1/2 (* x y))))) (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))) (taylor 0 y) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (cos y) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
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#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor inf z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor inf z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor inf z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor -inf z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor -inf z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor -inf z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor -inf z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) 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 (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) 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 (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (* (pow y 5) z)) (taylor inf y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) (taylor inf y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) (taylor inf y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) (taylor inf y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (* (pow y 5) z)) (taylor -inf y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))) (taylor -inf y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) (taylor -inf y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) (taylor -inf y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/120 binary64)) (patch (.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/120 binary64)) (patch (.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/120 binary64)) (patch (.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor 0 y) (#s(alt (.f64 y #s(literal 1/120 binary64)) (patch (.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/120 binary64)) (patch (.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/120 binary64)) (patch (.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/120 binary64)) (patch (.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor inf y) (#s(alt (.f64 y #s(literal 1/120 binary64)) (patch (.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/120 binary64)) (patch (.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/120 binary64)) (patch (.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/120 binary64)) (patch (.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 y) (taylor -inf y) (#s(alt (.f64 y #s(literal 1/120 binary64)) (patch (.f64 y #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor 0 z) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor 0 z) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor 0 z) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor 0 z) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf z) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf z) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf z) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf z) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor -inf z) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor -inf z) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor -inf z) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor -inf z) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (pow z 2)) (taylor 0 y) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) (taylor 0 y) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) (taylor 0 y) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2))) (taylor 0 y) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf y) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf y) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf y) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf y) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (taylor -inf y) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (taylor -inf y) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (taylor -inf y) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (taylor -inf y) (#s(alt (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())

Calls

108 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))))
3.0ms	z	@	inf	(* z (+ (* (+ (* y (* y 1/120)) -1/6) (* y (* y y))) y))
3.0ms	y	@	0	(- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))
1.0ms	z	@	0	(* z (+ (* (+ (* y (* y 1/120)) -1/6) (* y (* y y))) y))
1.0ms	x	@	inf	(* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))))

simplify352.0ms (3.1%)

Memory

-1.4MiB live, 476.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 772×	`lower-fma.f64`
8 772×	`lower-fma.f32`
7 464×	`lower-*.f64`
7 464×	`lower-*.f32`
2 192×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	492	5791
1	1671	5628
2	5930	5603
0	8442	5099

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 421

Calls

Call 1

Inputs
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* 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)) (* z (sin y)))
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(* z (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow z 3) (sin y))))) (+ (/ (* x (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* z (pow (sin y) 2))) (/ (* (pow x 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow z 2) (pow (sin y) 3))))))
(* -1 (/ (* z (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))
(* -1 (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* z (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(* 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) (* 1/120 (* (pow y 2) z))))))
(* 1/120 (* (pow y 5) z))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* 1/120 (* (pow y 5) z))
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow y 2) (pow z 2))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))

Outputs
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal -1/6 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 y (.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64)))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal -1/6 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(*.f64 y z)
(* z (+ y (/ x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(* z (+ y (/ x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(* z (+ y (/ x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(* y z)
(*.f64 y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(*.f64 y z)
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y z)
(*.f64 y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y z)
(*.f64 y z)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 (*.f64 x y) (/.f64 z x) x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 (*.f64 x y) (/.f64 z x) x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 (*.f64 x y) (/.f64 z 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))
(* z (sin y))
(*.f64 z (sin.f64 y))
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(.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (.f64 y y)) (/.f64 z (.f64 (.f64 y y) (*.f64 y y))))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (.f64 y y)) (/.f64 z (.f64 (.f64 y y) (*.f64 y y))))))
(* 1/120 (* (pow y 5) z))
(.f64 z (.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))))
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) (/.f64 z (*.f64 y y)))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (.f64 y y)) (/.f64 z (.f64 (.f64 y y) (*.f64 y y))))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal 1/120 binary64) (fma.f64 z (/.f64 #s(literal -1/6 binary64) (.f64 y y)) (/.f64 z (.f64 (.f64 y y) (*.f64 y y))))))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow y 2) (pow z 2))
(.f64 z (.f64 z (*.f64 y y)))
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2)))
(.f64 y (.f64 y (.f64 (fma.f64 y (.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 z z))))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2)))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 (.f64 z z) (fma.f64 (.f64 y y) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) (*.f64 z z)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2)))
(.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 z (.f64 z #s(literal -1/3 binary64)) (.f64 (.f64 y y) (.f64 (.f64 z z) (fma.f64 y (.f64 y #s(literal -1/315 binary64)) #s(literal 2/45 binary64)))))) (.f64 z z)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))

rewrite452.0ms (4%)

Memory

6.4MiB live, 640.4MiB allocated

Rules

6 576×	`lower-fma.f32`
6 568×	`lower-fma.f64`
5 032×	`lower-*.f32`
5 008×	`lower-*.f64`
4 370×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	205
0	72	168
1	258	142
2	1938	142
0	8674	141

Stop Event

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

Counts

17 → 558

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(+.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (.f64 z z)))))
(+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))) (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)))))
(-.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (/.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)) (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (/.f64 (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 4 binary64)) (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))))
(fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))) (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sin.f64 y) z) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (-.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (sin.f64 y) z) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (-.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z)) (fma.f64 x (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 y) z) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))) (.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (sin.f64 y) z) (.f64 x (cos.f64 y))))
(/.f64 (fma.f64 x (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (.f64 z z)))) (-.f64 (.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))))
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eval224.0ms (2%)

Memory: -22.2MiB live, 296.3MiB allocated
Compiler: Compiled 44 048 to 2 059 computations (95.3% saved)

prune173.0ms (1.5%)

Memory

2.4MiB live, 318.2MiB allocated

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	1 066	39	1 105
Fresh	11	2	13
Picked	2	3	5
Done	0	0	0
Total	1 079	44	1 123

Accuracy

100.0%

Counts

1 123 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	69.0%	(fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	42.8%	(fma.f64 (cos.f64 y) x #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))))
	42.8%	(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) z (*.f64 x (cos.f64 y)))
	45.8%	(fma.f64 #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)) z (*.f64 x (cos.f64 y)))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
	58.7%	(+.f64 (.f64 x (cos.f64 y)) #s(approx ( z (sin y)) (*.f64 z y)))
	39.9%	(+.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))))
	39.6%	(+.f64 (.f64 x #s(approx (cos y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(approx ( z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))))
▶	39.9%	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))))
	39.7%	(+.f64 #s(approx (* x (cos y)) (fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64)))) x)) #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))))
	48.1%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (fma.f64 (/.f64 (neg.f64 (.f64 z z)) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))))) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
	50.2%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
	15.9%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) #s(approx (- ( (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
	36.5%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) #s(approx (- ( (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
▶	99.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
	40.2%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal -1/6 binary64))) z) x))
	40.4%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
	84.6%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
	92.1%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
	66.3%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 x (cos.f64 y)))
✓	42.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	12.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)) (.f64 x (.f64 x x))) (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (-.f64 x (.f64 y z))))))
	17.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 (.f64 y (.f64 z (.f64 y z))) (-.f64 (.f64 y z) x)) (.f64 (-.f64 (.f64 y z) x) (.f64 x x))) (.f64 (-.f64 (.f64 y z) x) (-.f64 (*.f64 y z) x))))
	23.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 z (.f64 y z)))) (-.f64 x (*.f64 y z))))
▶	25.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x)))
	12.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (-.f64 x (.f64 y z)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)) (.f64 x (.f64 x x))))))
	25.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x))))
✓	35.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
	9.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))))
	9.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (sin y) (fma.f64 y (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) y))))
	9.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
	37.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
	39.5%	#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))))
	35.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 z (+.f64 y (/.f64 x z)))))
	31.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y (+.f64 z (/.f64 x y)))))
▶	9.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
	9.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 (*.f64 y z) #s(literal -1/6 binary64)) z))))
	31.6%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (/.f64 (.f64 z z) x) (fma.f64 x #s(literal -1/2 binary64) (/.f64 (.f64 z z) x))) x) z) x))
	99.0%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
	61.8%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (fma.f64 x (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))))
	65.9%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	52.3%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 z (fma.f64 x (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))))
▶	29.1%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))

Compiler

Compiled 1 965 to 1 046 computations (46.8% saved)

simplify265.0ms (2.3%)

Memory

37.8MiB live, 358.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
cost-diff	0	(.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
cost-diff	0	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
cost-diff	0	#s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x))
cost-diff	0	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))))
cost-diff	320	(fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (*.f64 y y) #s(literal -1/720 binary64))))
cost-diff	320	(fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (*.f64 x #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 y z x)
cost-diff	0	(.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x)))
cost-diff	2048	(/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x))
cost-diff	0	(*.f64 y z)
cost-diff	0	#s(approx (+ (* z y) x) (*.f64 y z))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
cost-diff	0	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
cost-diff	320	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
cost-diff	28032	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))

Rules

9 932×	`lower-fma.f32`
9 916×	`lower-fma.f64`
4 250×	`lower-*.f32`
4 224×	`lower-*.f64`
2 756×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	482
0	105	417
1	231	401
2	570	395
3	1821	395
4	5416	393
5	7831	393
0	8098	383

Stop Event

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

Calls

Call 1

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

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

localize308.0ms (2.7%)

Memory

1.1MiB live, 467.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))
accuracy	10.93447204763716	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
accuracy	12.391537710362407	(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))
accuracy	41.05511795253041	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
accuracy	2.159312471312772	(.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))
accuracy	6.5123463576283145	(.f64 x (.f64 (*.f64 y y) #s(literal -1/720 binary64)))
accuracy	38.14025270664319	#s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x))
accuracy	38.28923889290692	#s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))
accuracy	0.01171875	(-.f64 (*.f64 y z) x)
accuracy	0.08431625976844202	(.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))
accuracy	34.22389421751377	(/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x))
accuracy	36.92930575960702	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x)))
accuracy	0	(*.f64 y z)
accuracy	32.45522598010357	#s(approx (+ (* z y) x) (*.f64 y z))
accuracy	36.92930575960702	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
accuracy	0.07421875	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
accuracy	0.11328125	(*.f64 x (cos.f64 y))
accuracy	0.1953125	(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
accuracy	0.234375	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))

Samples

104.0ms	159×	0	valid
82.0ms	57×	2	valid
29.0ms	16×	3	valid
20.0ms	24×	1	valid

Compiler

Compiled 386 to 66 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-mult: 65.0ms (34% of total)

ival-cos: 50.0ms (26.2% of total)

adjust: 21.0ms (11% of total)

ival-add: 18.0ms (9.4% of total)

const: 15.0ms (7.9% of total)

ival-div: 9.0ms (4.7% of total)

ival-sin: 7.0ms (3.7% of total)

ival-sub: 6.0ms (3.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series92.0ms (0.8%)

Memory

-4.2MiB live, 70.4MiB allocated

Counts

24 → 708

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (patch (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (.f64 y z))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z y) x) (.f64 y z)) (patch #s(approx (+ ( z y) x) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (.f64 y z) (patch (.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x)) (patch (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (patch (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())
#s(alt (fma.f64 y z x) (patch (fma.f64 y z x) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) (patch (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (patch (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))) (patch (+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))) #<representation binary64>) () ())
#s(alt #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)) (patch #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))) (patch #s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))) #<representation binary64>) () ())
#s(alt (.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) (patch (.f64 z (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (patch (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (cos.f64 y)) (patch (.f64 x (cos.f64 y)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 y z) x) (patch (-.f64 (.f64 y z) x) #<representation binary64>) () ())
#s(alt #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (patch #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())
#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) (fma.f64 (sin.f64 y) z (.f64 x (cos.f64 y)))) #<representation binary64>) () ())) ())
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#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 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) 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 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x))) #<representation binary64>) () ())) ())
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#s(alt (+ (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x))) #<representation binary64>) () ())) ())
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#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) 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 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) 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 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) 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 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (sin y) (/ (* x (cos y)) z))) (taylor inf z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))) (taylor -inf z) (#s(alt #s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (.f64 y z) x))) (patch #s(approx (+ ( x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (-.f64 (*.f64 y z) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 y) (#s(alt (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (patch (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #<representation binary64>) () ())) ())
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#s(alt (* z (sin y)) (taylor inf y) (#s(alt #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (patch #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (patch #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (patch #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (patch #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (patch #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (patch #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (patch #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) (patch #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor inf x) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/720 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) (patch (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor inf z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor inf z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor inf z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor inf z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor -inf z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor -inf z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor -inf z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6)))) (taylor -inf z) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) 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 (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) 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 (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (* (pow y 5) z)) (taylor inf y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))) (taylor inf y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) (taylor inf y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))) (taylor inf y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (* (pow y 5) z)) (taylor -inf y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))) (taylor -inf y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) (taylor -inf y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))) (taylor -inf y) (#s(alt (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) (patch (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) #<representation binary64>) () ())) ())

Calls

177 calls:

Time	Variable		Point	Expression
35.0ms	z	@	0	(* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))))
6.0ms	x	@	-inf	(+ (* (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2))
2.0ms	z	@	0	(* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y)))
1.0ms	x	@	0	(+ (* (* y y) (+ (* x 1/24) (* x (* (* y y) -1/720)))) (* x -1/2))
1.0ms	z	@	0	(/ 1 (+ (* (sin y) z) (* x (cos y))))

simplify370.0ms (3.2%)

Memory

-19.4MiB live, 392.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 350×	`lower-fma.f64`
8 350×	`lower-fma.f32`
7 294×	`lower-*.f64`
7 294×	`lower-*.f32`
3 366×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	736	8220
1	2538	7872
0	8455	7326

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 687

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
x
(+ x (* y z))
(+ x (* y (+ z (* -1/2 (* x y)))))
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* 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)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(+ (* x (cos y)) (* z (sin y)))
(* z (sin y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
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x
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(* -1 (* z (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* x (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* z (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) z)) (/ (* x (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) z)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (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))
(/ (* 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))
(/ (* 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))
(/ (* z (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))
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(* y (+ z (* (pow y 2) (- (+ (* -1/3 z) (* (pow y 2) (- (+ (* 2/45 z) (* (pow y 2) (- (* -1/315 z) (+ (* -1/6 (- (* 2/45 z) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z)))) (+ (* -1/5040 z) (* 1/120 (- (* -1/3 z) (* -1/6 z)))))))) (+ (* -1/6 (- (* -1/3 z) (* -1/6 z))) (* 1/120 z))))) (* -1/6 z)))))
(/ (* 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))
(/ (* 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))
y
(* y (+ 1 (* -1/6 (pow y 2))))
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(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))
(pow y 2)
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(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
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(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(+ 1/2 (* -1/2 (cos (* -2 y))))
(* x (cos y))
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(* x (cos y))
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x
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(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
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(* 1/120 (* (pow y 5) z))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
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(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))

Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal -1/6 binary64)))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
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(+ (* x (cos y)) (* z (sin y)))
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(+ (* x (cos y)) (* z (sin y)))
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(+ (* x (cos y)) (* z (sin y)))
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(* z (+ (sin y) (/ (* x (cos y)) z)))
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(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
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(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
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(/ (- (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (cos y)) (* z (sin y))))
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(* -1 (* z (+ (* -1 y) (/ x z))))
(neg.f64 (*.f64 z (-.f64 (/.f64 x z) y)))
(* y z)
(*.f64 y z)
(+ (* -1 x) (* y z))
(-.f64 (*.f64 y z) x)
(+ (* -1 x) (* y z))
(-.f64 (*.f64 y z) x)
(+ (* -1 x) (* y z))
(-.f64 (*.f64 y z) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ (* y z) x) 1))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
(* x (- (/ (* y z) x) 1))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
(* x (- (/ (* y z) x) 1))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (* y z) x)))))
(neg.f64 (fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x))
(* -1 (* x (+ 1 (* -1 (/ (* y z) x)))))
(neg.f64 (fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x))
(* -1 (* x (+ 1 (* -1 (/ (* y z) x)))))
(neg.f64 (fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(.f64 y (fma.f64 y (.f64 y (*.f64 z #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* -1/720 (* x (pow y 2)))
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/720 binary64))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* z (+ y (* (pow y 3) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* y z)
(*.f64 y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(.f64 y (fma.f64 y (.f64 y (*.f64 z #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) z))
(* 1/120 (* (pow y 5) z))
(.f64 z (.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 z (.f64 y y)) (*.f64 z #s(literal 1/120 binary64))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 z (.f64 y y)) (fma.f64 z #s(literal 1/120 binary64) (/.f64 z (pow.f64 y #s(literal 4 binary64))))))
(* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4)))))
(.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 z (.f64 y y)) (fma.f64 z #s(literal 1/120 binary64) (/.f64 z (pow.f64 y #s(literal 4 binary64))))))
(* 1/120 (* (pow y 5) z))
(.f64 z (.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))))
(* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))
(neg.f64 (.f64 (pow.f64 y #s(literal 5 binary64)) (fma.f64 z #s(literal -1/120 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 z (*.f64 y y))))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(.f64 (-.f64 (fma.f64 z #s(literal -1/120 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 z (*.f64 y y)))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (pow.f64 y #s(literal 5 binary64))))
(* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))
(.f64 (-.f64 (fma.f64 z #s(literal -1/120 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 z (*.f64 y y)))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (pow.f64 y #s(literal 5 binary64))))

rewrite360.0ms (3.2%)

Memory

10.1MiB live, 484.5MiB allocated

Rules

4 860×	`lower-*.f32`
4 834×	`lower-*.f64`
4 546×	`lower-fma.f32`
4 530×	`lower-fma.f64`
3 102×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	384
0	105	324
1	440	278
2	3399	278
0	8492	274

Stop Event

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

Counts

24 → 658

Calls

Call 1

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

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

eval342.0ms (3%)

Memory: 10.4MiB live, 510.2MiB allocated
Compiler: Compiled 63 223 to 3 120 computations (95.1% saved)

prune424.0ms (3.7%)

Memory

27.3MiB live, 808.0MiB allocated

Pruning

53 alts after pruning (49 fresh and 4 done)

	Pruned	Kept	Total
New	1 784	27	1 811
Fresh	14	22	36
Picked	4	1	5
Done	0	3	3
Total	1 802	53	1 855

Accuracy

100.0%

Counts

1 855 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	69.0%	(fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	42.8%	(fma.f64 (cos.f64 y) x #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))))
	42.8%	(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) z (*.f64 x (cos.f64 y)))
	45.8%	(fma.f64 #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)) z (*.f64 x (cos.f64 y)))
▶	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))
	58.7%	(+.f64 (.f64 x (cos.f64 y)) #s(approx ( z (sin y)) (*.f64 z y)))
	39.9%	(+.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))))
	40.1%	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (*.f64 z #s(literal -1/6 binary64))) z))))
	40.3%	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (*.f64 y z)))
	48.1%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (fma.f64 (/.f64 (neg.f64 (.f64 z z)) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))))) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
	50.2%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
	36.5%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) #s(approx (- ( (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	40.2%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 (.f64 y z) #s(literal -1/6 binary64))) z) x))
▶	40.4%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
▶	84.6%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
	92.1%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
	66.3%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 x (cos.f64 y)))
✓	42.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	23.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (.f64 (.f64 y z) z) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 y z) x)))
	20.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (.f64 z z) (.f64 y y) (.f64 (neg.f64 x) x)) (-.f64 (.f64 y z) x)))
	15.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))) (-.f64 (.f64 y z) x)))
	23.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
	21.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (- (* y z) x) (*.f64 y (-.f64 z (/.f64 x y))))))
	8.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (- (* y z) x) (*.f64 y z))))
▶	21.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (- (* y z) x) (neg.f64 x))))
	21.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) #s(approx (- ( y z) x) (.f64 y (-.f64 z (/.f64 x y))))) (-.f64 (.f64 y z) x)))
	8.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) #s(approx (- ( y z) x) (.f64 y z))) (-.f64 (.f64 y z) x)))
	21.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) #s(approx (- ( y z) x) (neg.f64 x))) (-.f64 (*.f64 y z) x)))
	29.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y)))
▶	13.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 z z) (fma.f64 y y (/.f64 (+.f64 (/.f64 (.f64 x x) z) #s(literal 0 binary64)) (neg.f64 z))))) (-.f64 (.f64 y z) x)))
	6.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- (* y z) x)) (.f64 z (.f64 y (.f64 y z)))) (-.f64 (.f64 y z) x)))
	20.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- (* y z) x)) (.f64 x (neg.f64 x))) (-.f64 (.f64 y z) x)))
	42.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))))
	41.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (-.f64 (.f64 y z) x) (.f64 (fma.f64 y z x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) x)))))
✓	35.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
	9.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))))
	9.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (sin y) (fma.f64 y (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) y))))
	39.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- (* y z) x)) (- (* y z) x)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	35.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- (* y z) x)) (- (* y z) x)) (*.f64 z (+.f64 y (/.f64 x z)))))
	31.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- (* y z) x)) (- (* y z) x)) (*.f64 y (+.f64 z (/.f64 x y)))))
	37.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
✓	9.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
	9.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 (*.f64 y z) #s(literal -1/6 binary64)) z))))
	31.6%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (/.f64 (.f64 z z) x) (fma.f64 x #s(literal -1/2 binary64) (/.f64 (.f64 z z) x))) x) z) x))
	99.0%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
	61.8%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (fma.f64 x (/.f64 (.f64 (cos.f64 y) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y))))
	65.9%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	29.1%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
	65.9%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	52.3%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 z (fma.f64 x (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)))))
	28.9%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 z (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (.f64 (sin.f64 y) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))))
	9.5%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (.f64 y (fma.f64 y (.f64 y (*.f64 z #s(literal -1/6 binary64))) z))))

Compiler

Compiled 2 195 to 1 164 computations (47% saved)

simplify177.0ms (1.6%)

Memory

15.0MiB live, 326.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (cos.f64 y) z)
cost-diff	0	(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
cost-diff	0	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
cost-diff	704	(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 z z) (fma.f64 y y (/.f64 (+.f64 (/.f64 (.f64 x x) z) #s(literal 0 binary64)) (neg.f64 z))))) (-.f64 (.f64 y z) x)))
cost-diff	192	(+.f64 (/.f64 (*.f64 x x) z) #s(literal 0 binary64))
cost-diff	384	(/.f64 (+.f64 (/.f64 (*.f64 x x) z) #s(literal 0 binary64)) (neg.f64 z))
cost-diff	1280	(.f64 (.f64 z z) (fma.f64 y y (/.f64 (+.f64 (/.f64 (*.f64 x x) z) #s(literal 0 binary64)) (neg.f64 z))))
cost-diff	0	(fma.f64 y z x)
cost-diff	0	(.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))
cost-diff	0	(/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (- (* y z) x) (neg.f64 x)))
cost-diff	0	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (- (* y z) x) (neg.f64 x))))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	(fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z)
cost-diff	0	(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)
cost-diff	0	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))

Rules

9 422×	`lower-fma.f32`
9 410×	`lower-fma.f64`
3 206×	`lower-*.f32`
3 190×	`lower-*.f64`
1 250×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	391
0	87	364
1	144	364
2	269	364
3	582	362
4	1417	347
5	3727	347
6	6593	347
0	8161	347

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

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

localize327.0ms (2.9%)

Memory

-20.0MiB live, 241.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
accuracy	0.11328125	(fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))
accuracy	0.140625	(/.f64 (cos.f64 y) z)
accuracy	9.736555695116818	(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
accuracy	6.31143594648262	(/.f64 (*.f64 x x) z)
accuracy	20.393810304284308	(.f64 (.f64 z z) (fma.f64 y y (/.f64 (+.f64 (/.f64 (*.f64 x x) z) #s(literal 0 binary64)) (neg.f64 z))))
accuracy	34.22389421751377	(/.f64 #s(approx (* (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 z z) (fma.f64 y y (/.f64 (+.f64 (/.f64 (.f64 x x) z) #s(literal 0 binary64)) (neg.f64 z))))) (-.f64 (.f64 y z) x))
accuracy	36.92930575960702	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 z z) (fma.f64 y y (/.f64 (+.f64 (/.f64 (.f64 x x) z) #s(literal 0 binary64)) (neg.f64 z))))) (-.f64 (.f64 y z) x)))
accuracy	0.08431625976844202	(.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x))
accuracy	30.742120215741537	#s(approx (- (* y z) x) (neg.f64 x))
accuracy	34.22389421751377	(/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (- (* y z) x) (neg.f64 x)))
accuracy	36.92930575960702	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (- (* y z) x) (neg.f64 x))))
accuracy	0	(fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z)
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.02734375	(fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x)
accuracy	38.147525620251685	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
accuracy	0.07421875	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
accuracy	0.11328125	(*.f64 x (cos.f64 y))
accuracy	0.1953125	(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))))
accuracy	0.26171875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))))

Samples

281.0ms

256×

valid

Compiler

Compiled 292 to 41 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-div: 48.0ms (40.5% of total)

ival-mult: 45.0ms (38% of total)

ival-add: 8.0ms (6.7% of total)

ival-sin: 8.0ms (6.7% of total)

ival-cos: 6.0ms (5.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.4%)

Memory

21.1MiB live, 62.8MiB allocated

Counts

24 → 756

Calls

Call 1

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

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

Calls

189 calls:

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

simplify253.0ms (2.2%)

Memory

6.4MiB live, 318.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 044×	`lower-fma.f64`
8 044×	`lower-fma.f32`
6 118×	`lower-*.f64`
6 118×	`lower-*.f32`
1 914×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	482	6931
1	1608	6595
2	5369	6486
0	8307	6057

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 730

Calls

Call 1

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

Outputs
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y (+ z (* -1/2 (* x y)))))
(fma.f64 y (fma.f64 x (*.f64 y #s(literal -1/2 binary64)) z) x)
(+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal -1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) z) x)
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (+ (sin y) (/ (* x (cos y)) z)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(* z (sin y))
(*.f64 z (sin.f64 y))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(+ (* x (cos y)) (* z (sin y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (+ (cos y) (/ (* z (sin y)) x)))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ (* y z) (pow x 2))) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 z (.f64 x x))))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(fma.f64 y (-.f64 (.f64 y (fma.f64 z (/.f64 z (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 z (.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow x 2))) (+ (* 1/2 (/ z (pow x 2))) (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (/ z (pow x 2)))) (/ 1 x))
(fma.f64 y (-.f64 (.f64 y (fma.f64 y (neg.f64 (fma.f64 (fma.f64 z (/.f64 z (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z x) (.f64 (/.f64 z (.f64 x x)) #s(literal 1/3 binary64)))) (fma.f64 z (/.f64 z (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 z (.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/ 1 (+ (* x (cos y)) (* z (sin y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(+ (* -1 (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (/ 1 (* x (cos y))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y))) (/.f64 (.f64 z (sin.f64 y)) (.f64 x (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(+ (* 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))))
(fma.f64 z (fma.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (sin.f64 y) (.f64 (.f64 x x) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 x (cos.f64 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))))
(fma.f64 z (fma.f64 z (-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))) (/.f64 (sin.f64 y) (.f64 (.f64 x x) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y))))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))) (/.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(/ (- (+ (/ 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)
(/.f64 (fma.f64 x (.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (.f64 x (cos.f64 y)) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) 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)
(/.f64 (-.f64 (fma.f64 x (.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (.f64 x (cos.f64 y)) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 (.f64 (.f64 x x) (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (.f64 (.f64 z z) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))))) z)
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(* -1 (/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z))
(neg.f64 (fma.f64 x (/.f64 (cos.f64 y) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/.f64 (fma.f64 x (.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (.f64 x (cos.f64 y)) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (.f64 z (.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (/.f64 (.f64 x (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))) (/.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 x (-.f64 (/.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 z (.f64 z z)))) (/.f64 (cos.f64 y) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 z (.f64 z z)))) (/.f64 (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (/.f64 (cos.f64 y) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y))) (/.f64 (.f64 z (sin.f64 y)) (.f64 x (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (.f64 x (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/.f64 (-.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) (.f64 x (.f64 x (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 z (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 z (.f64 z z))) (.f64 (.f64 x x) (.f64 x (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) x)
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(* -1 (/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x))
(neg.f64 (fma.f64 z (/.f64 (sin.f64 y) (.f64 x (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 y)))))
(* -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))
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(*.f64 x (cos.f64 y))
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(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/24 binary64) (.f64 x #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)) (.f64 x #s(literal 1/24 binary64))) (.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 x)
(neg.f64 x)
(- (* y z) x)
(-.f64 (*.f64 y z) x)
(- (* y z) x)
(-.f64 (*.f64 y z) x)
(- (* y z) x)
(-.f64 (*.f64 y z) x)
(* y z)
(*.f64 y z)
(* y (+ z (* -1 (/ x y))))
(*.f64 y (-.f64 z (/.f64 x y)))
(* y (+ z (* -1 (/ x y))))
(*.f64 y (-.f64 z (/.f64 x y)))
(* y (+ z (* -1 (/ x y))))
(*.f64 y (-.f64 z (/.f64 x y)))
(* y z)
(*.f64 y z)
(* -1 (* y (+ (* -1 z) (/ x y))))
(*.f64 y (-.f64 z (/.f64 x y)))
(* -1 (* y (+ (* -1 z) (/ x y))))
(*.f64 y (-.f64 z (/.f64 x y)))
(* -1 (* y (+ (* -1 z) (/ x y))))
(*.f64 y (-.f64 z (/.f64 x y)))
(* -1 x)
(neg.f64 x)
(- (* y z) x)
(-.f64 (*.f64 y z) x)
(- (* y z) x)
(-.f64 (*.f64 y z) x)
(- (* y z) x)
(-.f64 (*.f64 y z) x)
(* y z)
(*.f64 y z)
(* z (+ y (* -1 (/ x z))))
(*.f64 z (-.f64 y (/.f64 x z)))
(* z (+ y (* -1 (/ x z))))
(*.f64 z (-.f64 y (/.f64 x z)))
(* z (+ y (* -1 (/ x z))))
(*.f64 z (-.f64 y (/.f64 x z)))
(* y z)
(*.f64 y z)
(* -1 (* z (+ (* -1 y) (/ x z))))
(*.f64 z (-.f64 y (/.f64 x z)))
(* -1 (* z (+ (* -1 y) (/ x z))))
(*.f64 z (-.f64 y (/.f64 x z)))
(* -1 (* z (+ (* -1 y) (/ x z))))
(*.f64 z (-.f64 y (/.f64 x z)))
(* y z)
(*.f64 y z)
(+ (* -1 x) (* y z))
(-.f64 (*.f64 y z) x)
(+ (* -1 x) (* y z))
(-.f64 (*.f64 y z) x)
(+ (* -1 x) (* y z))
(-.f64 (*.f64 y z) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ (* y z) x) 1))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
(* x (- (/ (* y z) x) 1))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
(* x (- (/ (* y z) x) 1))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (* y z) x)))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 (/ (* y z) x)))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 (/ (* y z) x)))))
(*.f64 x (fma.f64 y (/.f64 z x) #s(literal -1 binary64)))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(*.f64 y z)
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y (+ z (/ x y)))
(*.f64 y (+.f64 z (/.f64 x y)))
(* y z)
(*.f64 y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(*.f64 y (+.f64 z (/.f64 x y)))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(*.f64 y z)
(* z (+ y (/ x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(* z (+ y (/ x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(* z (+ y (/ x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(* y z)
(*.f64 y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(*.f64 z (+.f64 y (/.f64 x z)))
(* y z)
(*.f64 y z)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 x (/.f64 (*.f64 y z) x) x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 x (/.f64 (*.f64 y z) x) x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 x (/.f64 (*.f64 y z) x) x)
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 x (/.f64 (*.f64 y z) x) (neg.f64 (neg.f64 x)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 x (/.f64 (*.f64 y z) x) (neg.f64 (neg.f64 x)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 x (/.f64 (*.f64 y z) x) (neg.f64 (neg.f64 x)))
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)
(/ (pow x 2) z)
(/.f64 (*.f64 x x) z)

rewrite391.0ms (3.4%)

Memory

-20.2MiB live, 470.1MiB allocated

Rules

4 926×	`lower-fma.f32`
4 914×	`lower-fma.f64`
4 008×	`lower-*.f32`
3 992×	`lower-*.f64`
3 910×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	300
0	87	284
1	296	279
2	2250	279
0	8395	279

Stop Event

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

Counts

24 → 784

Calls

Call 1

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

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

eval371.0ms (3.3%)

Memory: 16.3MiB live, 398.7MiB allocated
Compiler: Compiled 38 074 to 3 055 computations (92% saved)

prune361.0ms (3.2%)

Memory

18.2MiB live, 806.5MiB allocated

Pruning

60 alts after pruning (55 fresh and 5 done)

	Pruned	Kept	Total
New	1 501	25	1 526
Fresh	14	30	44
Picked	4	1	5
Done	0	4	4
Total	1 519	60	1 579

Accuracy

100.0%

Counts

1 579 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
	69.0%	(fma.f64 (sin.f64 y) z (*.f64 x #s(approx (cos y) #s(literal 1 binary64))))
	42.8%	(fma.f64 (cos.f64 y) x #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))))
	42.8%	(fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) z (*.f64 x (cos.f64 y)))
	45.8%	(fma.f64 #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)) z (*.f64 x (cos.f64 y)))
	50.3%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	42.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) z (*.f64 x (cos.f64 y)))))
	35.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (sin.f64 y)))))
	36.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) z) (* x (cos y)))) (/.f64 #s(literal 1 binary64) x)))
	58.7%	(+.f64 (.f64 x (cos.f64 y)) #s(approx ( z (sin y)) (*.f64 z y)))
	39.9%	(+.f64 (.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(approx (* z (sin y)) (.f64 z (fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y))))
	40.1%	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (.f64 y (fma.f64 y (.f64 y (*.f64 z #s(literal -1/6 binary64))) z))))
	40.3%	(+.f64 #s(approx (* x (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/24 binary64) (.f64 x (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 x #s(literal -1/2 binary64))) x)) #s(approx (* z (sin y)) (*.f64 y z)))
	48.1%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (fma.f64 (/.f64 (neg.f64 (.f64 z z)) (+.f64 (cos.f64 (+.f64 y y)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))))) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))
	50.2%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
	36.5%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))) #s(approx (- ( (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
	92.1%	#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* x (cos y))))) (*.f64 x (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
	66.3%	#s(approx (/ 1 (/ 1 (+ (* (sin y) z) (* x (cos y))))) (*.f64 x (cos.f64 y)))
	83.8%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 (/.f64 (cos.f64 y) z) (.f64 x z) (.f64 (sin.f64 y) z)))
✓	40.4%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (fma.f64 x (*.f64 #s(literal -1/2 binary64) y) z) x))
	32.1%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y (.f64 (.f64 (fma.f64 y (.f64 x #s(literal -1/2 binary64)) z) (fma.f64 y (.f64 x #s(literal -1/2 binary64)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)))) x))
	38.6%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y #s(approx (+ (* x (* -1/2 y)) z) (fma.f64 z (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z)) z)) x))
	33.8%	#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 y #s(approx (+ (* x (* -1/2 y)) z) (.f64 x (.f64 y #s(literal -1/2 binary64)))) x))
	84.7%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))
	84.6%	#s(approx (+ (* (sin y) z) (* x (cos y))) (.f64 z (fma.f64 (cos.f64 y) (.f64 (/.f64 #s(literal 1 binary64) z) x) (sin.f64 y))))
	62.3%	#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 z (fma.f64 x #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (sin.f64 y))))
	33.8%	#s(approx (+ (* (sin y) z) (* x (cos y))) (.f64 z #s(approx (+ ( x (/ (cos y) z)) (sin y)) (fma.f64 y (fma.f64 y (fma.f64 x (/.f64 #s(literal -1/2 binary64) z) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 x z)))))
	29.7%	#s(approx (+ (* (sin y) z) (* x (cos y))) (.f64 z #s(approx (+ ( x (/ (cos y) z)) (sin y)) (/.f64 x z))))
	15.6%	#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (.f64 (.f64 y y) (fma.f64 x #s(literal -1/2 binary64) (/.f64 (+.f64 z (/.f64 x y)) y)))))
	3.1%	#s(approx (+ (* (sin y) z) (* x (cos y))) #s(approx (+ (* y (+ (* x (* -1/2 y)) z)) x) (.f64 x (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
✓	42.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x))
	11.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 (.f64 (.f64 (fma.f64 y z x) (fma.f64 y z (neg.f64 x))) (.f64 (fma.f64 y z x) (fma.f64 y z (neg.f64 x)))) (.f64 (fma.f64 y z x) (fma.f64 y z (neg.f64 x)))) #s(approx (- (* y z) x) (neg.f64 x))))
	23.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) (.f64 (.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))))
	21.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) (-.f64 (.f64 y z) x)) #s(approx (- (* y z) x) (*.f64 y (-.f64 z (/.f64 x y))))))
	8.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) #s(approx (- ( y z) x) (.f64 y z))) (-.f64 (.f64 y z) x)))
	21.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (fma.f64 y z x) #s(approx (- ( y z) x) (neg.f64 x))) (-.f64 (*.f64 y z) x)))
	17.1%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 #s(approx (+ ( y z) x) (.f64 y (+.f64 z (/.f64 x y)))) (-.f64 (.f64 y z) x)) #s(approx (- (* y z) x) (neg.f64 x))))
	29.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y)))
	13.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 z z) (fma.f64 y y (/.f64 (/.f64 (.f64 x x) z) (neg.f64 z))))) (-.f64 (.f64 y z) x)))
	12.8%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- (* y z) x)) (.f64 (.f64 z z) (fma.f64 y y (.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) z)))))) (-.f64 (.f64 y z) x)))
	3.2%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- (* y z) x)) (.f64 z (.f64 y (.f64 y z)))) #s(approx (- ( y z) x) (neg.f64 x))))
	20.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- (* y z) x)) (.f64 x (neg.f64 x))) (-.f64 (.f64 y z) x)))
	21.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (/.f64 #s(approx (* (+ (* y z) x) (- (* y z) x)) (neg.f64 (.f64 x x))) #s(approx (- ( y z) x) (neg.f64 x))))
	35.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 (fma.f64 y z (neg.f64 x)) (/.f64 (fma.f64 y z x) #s(approx (- ( y z) x) (neg.f64 x)))))
	35.5%	#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) #s(approx (- (* y z) x) (neg.f64 x))))))
✓	35.7%	#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 z (sin.f64 y)))
	9.4%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (sin y) (fma.f64 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))))
	9.3%	#s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 z #s(approx (sin y) (fma.f64 y (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) y))))
	39.5%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- (* y z) x)) (- (* y z) x)) (*.f64 (fma.f64 (neg.f64 y) (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))))
	31.6%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (/ (* (+ (* y z) x) (- (* y z) x)) (- (* y z) x)) (*.f64 y (+.f64 z (/.f64 x y)))))
	37.0%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (fma.f64 (*.f64 x y) (/.f64 z x) x)))
✓	9.9%	#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))
	31.6%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (fma.f64 y (fma.f64 y (-.f64 (-.f64 (/.f64 (.f64 z z) x) (fma.f64 x #s(literal -1/2 binary64) (/.f64 (.f64 z z) x))) x) z) x))
	99.0%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 z (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
	61.8%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (fma.f64 x (/.f64 (.f64 (cos.f64 y) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y))))
	65.9%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	29.1%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (.f64 z (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
	65.9%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y))))
	28.9%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) (.f64 z (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (.f64 (sin.f64 y) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))))
	9.5%	#s(approx (* (/ 1 (- (* x (cos y)) (* z (sin y)))) (- (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))) #s(approx (* z (/ (+ (* -1/2 (cos (* y -2))) 1/2) (sin y))) (.f64 y (fma.f64 y (.f64 y (*.f64 z #s(literal -1/6 binary64))) z))))

Compiler

Compiled 3 372 to 1 035 computations (69.3% saved)

regimes144.0ms (1.3%)

Memory

2.6MiB live, 312.8MiB allocated

Counts

110 → 1

Calls

Call 1

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

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

Calls

4 calls:

40.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
35.0ms	y
32.0ms	z
30.0ms	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)

regimes108.0ms (0.9%)

Memory

-49.6MiB live, 180.5MiB allocated

Counts

78 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

30.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
27.0ms	y
25.0ms	x
21.0ms	z

Results

Accuracy	Segments	Branch
88.9%	3	`x`
74.5%	2	`y`
84.5%	3	`z`
76.4%	3	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes24.0ms (0.2%)

Memory

21.3MiB live, 62.1MiB allocated

Counts

67 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
88.9%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes95.0ms (0.8%)

Memory

-1.7MiB live, 74.6MiB allocated

Counts

66 → 3

Calls

Call 1

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

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

Calls

2 calls:

57.0ms	x
34.0ms	z

Results

Accuracy	Segments	Branch
79.3%	3	`z`
79.9%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes78.0ms (0.7%)

Memory

16.6MiB live, 135.6MiB allocated

Counts

63 → 3

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
19.0ms	y
18.0ms	x
17.0ms	z

Results

Accuracy	Segments	Branch
72.9%	3	`y`
66.3%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
68.0%	2	`z`
66.3%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes76.0ms (0.7%)

Memory

-7.3MiB live, 114.0MiB allocated

Counts

62 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
42.3%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
42.3%	1	`x`
42.3%	1	`z`
42.3%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

-23.8MiB live, 14.7MiB 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 y z)))

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

Calls

4 calls:

2.0ms	z
1.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
9.9%	1	`z`
9.9%	1	`(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
9.9%	1	`x`
9.9%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch41.0ms (0.4%)

Memory

18.4MiB live, 56.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	6.266860770712145e-38	2.666178687157725e-26
17.0ms	-0.004970378695418642	-1.1447294570741692e-6

Samples

27.0ms

288×

valid

Compiler

Compiled 411 to 284 computations (30.9% saved)

Precisions

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

ival-cos: 7.0ms (34.8% of total)

ival-sin: 6.0ms (29.8% of total)

ival-mult: 5.0ms (24.9% of total)

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

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

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

bsearch2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.266860770712145e-38	2.666178687157725e-26
1.0ms	-0.004970378695418642	-1.1447294570741692e-6

Compiler

Compiled 393 to 266 computations (32.3% saved)

bsearch34.0ms (0.3%)

Memory

17.3MiB live, 55.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.112220538739619e-40	3.882990041352272e-40
21.0ms	-1.0197538206147275e-39	-4.1197376042130854e-54

Samples

21.0ms

240×

valid

Compiler

Compiled 285 to 194 computations (31.9% saved)

Precisions

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

ival-cos: 6.0ms (38.6% of total)

ival-sin: 5.0ms (32.2% of total)

ival-mult: 3.0ms (19.3% of total)

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

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

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

bsearch42.0ms (0.4%)

Memory

-24.9MiB live, 36.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.341242948192747e-10	5.7748251207461906e-8
27.0ms	-0.031161065266922753	-1.9265496573811252e-17

Samples

18.0ms

288×

valid

Compiler

Compiled 339 to 212 computations (37.5% saved)

Precisions

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

ival-mult: 4.0ms (37.4% of total)

ival-cos: 3.0ms (28.1% of total)

ival-sin: 3.0ms (28.1% of total)

ival-add: 1.0ms (9.4% of total)

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

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

simplify9.0ms (0.1%)

Memory

-25.6MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	234
1	55	234

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 x #s(literal -5072854620270127/1152921504606846976 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 4529838868451533/348449143727040986586495598010130648530944 binary64)) (+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -5072854620270127/1152921504606846976 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 4529838868451533/348449143727040986586495598010130648530944 binary64)) (fma.f64 (sin.f64 y) z (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -4380991333411979/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 5639583590386471/49039857307708443467467104868809893875799651909875269632 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -1890791267555229/4611686018427387904 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 8613596464754233/151115727451828646838272 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 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))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))

Outputs
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(if (<=.f64 x #s(literal -5072854620270127/1152921504606846976 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 4529838868451533/348449143727040986586495598010130648530944 binary64)) (+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -5072854620270127/1152921504606846976 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 4529838868451533/348449143727040986586495598010130648530944 binary64)) (+.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 (sin.f64 y) z)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -5072854620270127/1152921504606846976 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 4529838868451533/348449143727040986586495598010130648530944 binary64)) (fma.f64 (sin.f64 y) z (.f64 x #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -4380991333411979/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 5639583590386471/49039857307708443467467104868809893875799651909875269632 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 z (sin.f64 y))) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 x #s(literal -4380991333411979/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 5639583590386471/49039857307708443467467104868809893875799651909875269632 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (.f64 (sin.f64 y) z)) #s(approx (+ ( x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -1890791267555229/4611686018427387904 binary64)) #s(approx (+ (* x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 8613596464754233/151115727451828646838272 binary64)) #s(approx (+ ( x (cos y)) (* z (sin y))) (fma.f64 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))
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* z y) x) (*.f64 y z)))

soundness900.0ms (7.9%)

Memory

11.9MiB live, 442.3MiB allocated

Rules

14 080×	`lower-fma.f64`
14 080×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
8 772×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8386	18
0	492	5791
1	1671	5628
2	5930	5603
0	8442	5099
0	93	620
1	295	616
2	892	610
3	2078	604
4	3746	604
5	6389	604
0	8805	554

Stop Event

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

Compiler

Compiled 240 to 107 computations (55.4% saved)

preprocess88.0ms (0.8%)

Memory: 16.5MiB live, 90.0MiB allocated
Compiler: Compiled 264 to 84 computations (68.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (14.4%)

explain461.0ms (4%)

preprocess49.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize37.0ms (0.3%)

series8.0ms (0.1%)

simplify588.0ms (5.2%)

rewrite451.0ms (4%)

eval103.0ms (0.9%)

prune124.0ms (1.1%)

simplify530.0ms (4.6%)

localize422.0ms (3.7%)

series47.0ms (0.4%)

simplify352.0ms (3.1%)

rewrite452.0ms (4%)

eval224.0ms (2%)

prune173.0ms (1.5%)

simplify265.0ms (2.3%)

localize308.0ms (2.7%)

series92.0ms (0.8%)

simplify370.0ms (3.2%)

rewrite360.0ms (3.2%)

eval342.0ms (3%)

prune424.0ms (3.7%)

simplify177.0ms (1.6%)

localize327.0ms (2.9%)

series48.0ms (0.4%)

simplify253.0ms (2.2%)

rewrite391.0ms (3.4%)

eval371.0ms (3.3%)

prune361.0ms (3.2%)

regimes144.0ms (1.3%)

regimes108.0ms (0.9%)

regimes24.0ms (0.2%)

regimes95.0ms (0.8%)

regimes78.0ms (0.7%)

regimes76.0ms (0.7%)

regimes7.0ms (0.1%)

bsearch41.0ms (0.4%)

bsearch2.0ms (0%)

bsearch34.0ms (0.3%)

bsearch42.0ms (0.4%)

simplify9.0ms (0.1%)

soundness900.0ms (7.9%)

preprocess88.0ms (0.8%)

end0.0ms (0%)

Profiling