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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (16.4%)

Memory

-103.9MiB live, 1 386.2MiB allocated

Samples

985.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 644.0ms

ival-sin: 271.0ms (42.1% of total)

ival-cos: 184.0ms (28.6% of total)

ival-mult: 144.0ms (22.3% of total)

ival-add: 37.0ms (5.7% of total)

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

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

Bogosity

explain115.0ms (1.5%)

Memory

-14.6MiB live, 215.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
-	-	`(sin.f64 y)`
-	-	`(*.f64 z (cos.f64 y))`
-	-	`y`
-	-	`z`
-	-	`(*.f64 x (sin.f64 y))`
-	-	`(cos.f64 y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

52.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-cos: 16.0ms (44% of total)

ival-sin: 11.0ms (30.3% of total)

ival-mult: 7.0ms (19.3% of total)

ival-add: 2.0ms (5.5% of total)

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

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

preprocess45.0ms (0.6%)

Memory

7.2MiB live, 45.7MiB allocated

Algorithm

1×	egg-herbie

Rules

90×	`associate-r`
80×	`unsub-neg`
71×	`associate-l`
68×	`distribute-lft-neg-in`
55×	`sub-neg`

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	693	81
6	871	81
7	957	81
8	1038	81
9	1104	81
10	1118	81
11	1123	81
12	1125	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 (sin.f64 y)) (.f64 z (cos.f64 y)))

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

4×	`lower-fma.f64`
4×	`lower-fma.f32`
4×	`lower-*.f32`
2×	`*-commutative`
2×	`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 (sin.f64 y)) (.f64 z (cos.f64 y)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 z (cos.f64 y))
z
(cos.f64 y)

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

localize35.0ms (0.5%)

Memory

-7.2MiB live, 68.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(cos.f64 y)
accuracy	0.015625	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
accuracy	0.09375	(*.f64 x (sin.f64 y))
accuracy	0.09765625	(*.f64 z (cos.f64 y))

Samples

25.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 6.0ms (37.7% of total)

ival-sin: 6.0ms (37.7% of total)

ival-mult: 3.0ms (18.8% of total)

ival-add: 1.0ms (6.3% of total)

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

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

series9.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

simplify206.0ms (2.7%)

Memory

-27.8MiB live, 217.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 429×	`lower-fma.f64`
6 429×	`lower-fma.f32`
2 359×	`lower-*.f64`
2 359×	`lower-*.f32`
1 089×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	682
1	344	678
2	991	668
3	2652	662
4	4669	662
5	6964	662
0	8196	606

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

Calls

Call 1

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

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

rewrite253.0ms (3.3%)

Memory

4.7MiB live, 351.9MiB allocated

Rules

5 740×	`lower-fma.f64`
5 740×	`lower-fma.f32`
2 084×	`lower-*.f32`
2 082×	`lower-*.f64`
2 035×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8391	20

Stop Event

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

Counts

5 → 177

Calls

Call 1

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

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

eval32.0ms (0.4%)

Memory: 29.2MiB live, 67.3MiB allocated
Compiler: Compiled 10 212 to 569 computations (94.4% saved)

prune42.0ms (0.5%)

Memory

2.9MiB live, 85.8MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	272	10	282
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	273	10	283

Accuracy

99.9%

Counts

283 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.3%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
▶	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	43.0%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
▶	46.1%	(+.f64 (.f64 x (sin.f64 y)) (exp.f64 (log.f64 (.f64 (cos.f64 y) z))))
▶	52.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) x (.f64 #s(literal -1/2 binary64) z)) y x) y z))
	52.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
▶	53.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
▶	38.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	63.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))

Compiler

Compiled 362 to 198 computations (45.3% saved)

simplify39.0ms (0.5%)

Memory

-22.5MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 x (sin.f64 y))
cost-diff	128	(+.f64 (.f64 x (sin.f64 y)) (exp.f64 (log.f64 (.f64 (cos.f64 y) z))))
cost-diff	12800	(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) x)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
cost-diff	0	(fma.f64 (.f64 #s(literal -1/6 binary64) y) x (.f64 #s(literal -1/2 binary64) z))
cost-diff	0	(fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) x (.f64 #s(literal -1/2 binary64) z)) y x)
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) x (.f64 #s(literal -1/2 binary64) z)) y x) y z)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) x (.f64 #s(literal -1/2 binary64) z)) y x) y z))
cost-diff	0	(fma.f64 x y z)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) x)
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))

Rules

444×	`lower-fma.f32`
439×	`lower-fma.f64`
207×	`lower-*.f32`
202×	`lower-*.f64`
106×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	167
0	47	159
1	66	159
2	86	159
3	166	159
4	300	159
5	387	159
6	405	159
7	417	159
8	519	159
9	536	159
10	561	159
11	562	159
0	562	159

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize168.0ms (2.2%)

Memory

-3.7MiB live, 173.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 (.f64 x (sin.f64 y)) (exp.f64 (log.f64 (.f64 (cos.f64 y) z))))
accuracy	0.04296875	(*.f64 (cos.f64 y) z)
accuracy	0.05078125	(*.f64 x (sin.f64 y))
accuracy	2.8461549789896825	(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
accuracy	0	(sin.f64 y)
accuracy	0.05078125	(*.f64 (sin.f64 y) x)
accuracy	18.799049538379535	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
accuracy	0.01171875	(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) x (.f64 #s(literal -1/2 binary64) z)) y x) y z)
accuracy	0.04296875	(fma.f64 (.f64 #s(literal -1/6 binary64) y) x (.f64 #s(literal -1/2 binary64) z))
accuracy	0.1484375	(*.f64 #s(literal -1/6 binary64) y)
accuracy	15.806660329995914	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) x (.f64 #s(literal -1/2 binary64) z)) y x) y z))
accuracy	0	(fma.f64 x y z)
accuracy	15.462584305253396	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.0390625	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy	0.05078125	(*.f64 (sin.f64 y) x)

Samples

46.0ms	125×	0	valid
31.0ms	131×	0	invalid

Compiler

Compiled 152 to 28 computations (81.6% saved)

Precisions

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

ival-add: 17.0ms (31.6% of total)

ival-mult: 16.0ms (29.8% of total)

ival-sin: 6.0ms (11.2% of total)

ival-cos: 6.0ms (11.2% of total)

const: 4.0ms (7.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.6%)

Memory

-7.3MiB live, 29.4MiB allocated

Counts

16 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
22.0ms	y	@	-inf	(+ (* (* -1/6 y) x) (* -1/2 z))
1.0ms	z	@	inf	(+ (* x y) z)
1.0ms	z	@	0	(+ (* (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) y) z)
1.0ms	x	@	0	(+ (* (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) y) z)
1.0ms	x	@	inf	(+ (* (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) y) z)

simplify220.0ms (2.9%)

Memory

30.6MiB live, 298.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 304×	`lower-fma.f64`
8 304×	`lower-fma.f32`
2 287×	`lower-*.f64`
2 287×	`lower-*.f32`
1 496×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	3703
1	867	3646
2	2769	3619
3	6375	3594
0	8420	3228

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 442

Calls

Call 1

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

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

rewrite360.0ms (4.7%)

Memory

-7.4MiB live, 394.4MiB allocated

Rules

5 927×	`lower-fma.f32`
5 922×	`lower-fma.f64`
3 228×	`lower-*.f32`
3 223×	`lower-*.f64`
1 761×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	133
0	47	125
1	156	125
2	959	125
0	8958	125

Stop Event

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

Counts

16 → 371

Calls

Call 1

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

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

eval152.0ms (2%)

Memory: 11.4MiB live, 227.3MiB allocated
Compiler: Compiled 22 057 to 1 221 computations (94.5% saved)

prune174.0ms (2.3%)

Memory

-28.5MiB live, 311.6MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	854	23	877
Fresh	2	3	5
Picked	1	4	5
Done	0	0	0
Total	857	30	887

Accuracy

99.9%

Counts

887 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.3%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
	78.4%	(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) z (*.f64 (sin.f64 y) x))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	43.0%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))
	36.5%	(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (.f64 z z) (.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
✓	46.1%	(+.f64 (.f64 x (sin.f64 y)) (exp.f64 (log.f64 (.f64 (cos.f64 y) z))))
	52.8%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
	63.5%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z))
	52.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 (.f64 x #s(literal -1/6 binary64)) y (.f64 #s(literal -1/2 binary64) z)) y x) y z))
	52.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 y) x) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 y x))) y x) y z))
	45.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) z)) y x) y) (-.f64 (.f64 (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) z)) y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) z)) y) x)) z))
	39.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z))
✓	53.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
	17.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 x x)) (-.f64 (.f64 x y) z)) (.f64 (-.f64 (.f64 x y) z) (.f64 z z))) (.f64 (-.f64 (.f64 x y) z) (-.f64 (*.f64 x y) z))))
	17.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (fma.f64 z z (.f64 (.f64 x y) (-.f64 (.f64 x y) z))) (fma.f64 x y z)) (fma.f64 (.f64 y y) (.f64 x x) (.f64 z (-.f64 z (.f64 x y))))))
	34.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (-.f64 (*.f64 x y) z)))
▶	19.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (-.f64 (.f64 x y) z))))
	53.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
	23.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (-.f64 (/.f64 (.f64 (.f64 y y) (.f64 x x)) (-.f64 (.f64 x y) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x y) z))))
	34.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z))))
✓	38.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
▶	15.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y)) x))
▶	15.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) x))
	39.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) y) z) (fma.f64 (neg.f64 z) (.f64 (.f64 #s(literal 1/2 binary64) y) y) z)))
	15.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) y) z) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x) y)))
	12.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) y) z) (.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) x) y)) y) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 y y) y))))
	2.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y x)) y) y)))
▶	15.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
	15.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) x) y)))

Compiler

Compiled 1 259 to 612 computations (51.4% saved)

simplify192.0ms (2.5%)

Memory

39.7MiB live, 225.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (-.f64 (.f64 x y) z))))
cost-diff	320	(.f64 (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))) #s(literal 1 binary64))
cost-diff	5376	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (-.f64 (.f64 x y) z)))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (sin y) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y))
cost-diff	0	(.f64 #s(approx (sin y) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y)) x)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y)) x))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)
cost-diff	0	#s(approx (sin y) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y))
cost-diff	0	(.f64 #s(approx (sin y) (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) x)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) x))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* x y) z) (*.f64 y x))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))

Rules

2 534×	`lower-fma.f32`
2 527×	`lower-fma.f64`
2 155×	`lower-*.f32`
2 138×	`lower-*.f64`
1 144×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	493
0	88	513
1	145	513
2	321	411
3	1194	403
4	5286	403
0	8241	395

Stop Event

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

Calls

Call 1

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

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

localize239.0ms (3.1%)

Memory

-1.0MiB live, 311.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(.f64 (.f64 x y) y)
accuracy	1.2023104203977857	(fma.f64 (.f64 (.f64 x y) y) x (*.f64 z z))
accuracy	29.659781943129136	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (-.f64 (.f64 x y) z))))
accuracy	45.76275158535392	(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (-.f64 (.f64 x y) z)))
accuracy	0.10546875	(.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y)
accuracy	0.18359375	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y)
accuracy	30.516756631800455	#s(approx (sin y) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y))
accuracy	39.4367694124702	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y)) x))
accuracy	0.09375	(.f64 #s(approx (sin y) (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) x)
accuracy	0.3046875	(*.f64 #s(literal -1/6 binary64) y)
accuracy	30.50209054889394	#s(approx (sin y) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y))
accuracy	39.4367694124702	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) x))
accuracy	0	(*.f64 y x)
accuracy	29.659781943129136	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
accuracy	32.13451060222655	#s(approx (+ (* x y) z) (*.f64 y x))
accuracy	0.0703125	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy	0.09375	(*.f64 (sin.f64 y) x)
accuracy	0.171875	(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
accuracy	0.25390625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))

Samples

148.0ms

256×

valid

Compiler

Compiled 376 to 46 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 75.0ms (67.2% of total)

ival-add: 10.0ms (9% of total)

const: 9.0ms (8.1% of total)

ival-cos: 6.0ms (5.4% of total)

ival-div: 5.0ms (4.5% of total)

ival-sin: 5.0ms (4.5% of total)

ival-sub: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (0.9%)

Memory

-26.2MiB live, 81.9MiB allocated

Counts

25 → 648

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (.f64 y x))) (patch #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x y) z) (.f64 y x)) (patch #s(approx (+ ( x y) z) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) x)) (patch #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (sin y) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) x) (patch (.f64 #s(approx (sin y) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (sin y) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) (patch #s(approx (sin y) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y)) x)) (patch #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y)) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (sin y) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y)) x) (patch (.f64 #s(approx (sin y) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (sin y) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y)) (patch #s(approx (sin y) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y) (patch (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (-.f64 (.f64 x y) z))) (patch (/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (-.f64 (.f64 x y) z))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) #s(literal 1 binary64)) (patch (.f64 (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (-.f64 (.f64 x y) z)))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (-.f64 (.f64 x y) z)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) (patch (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 y) x) (patch (.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/6 binary64) y) (patch (.f64 #s(literal -1/6 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) (patch (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) y) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) (patch (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (patch (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x y) y) (patch (.f64 (.f64 x y) y) #<representation binary64>) () ())

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

Calls

162 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	(+ (* x (sin y)) (* z (cos y)))
3.0ms	y	@	0	(/ 1 (+ (* (cos y) z) (* (sin y) x)))
1.0ms	x	@	inf	(* (* (+ (* (* (* x y) y) x) (* z z)) (* (+ (* x y) z) (- (* x y) z))) 1)
1.0ms	y	@	inf	(* (+ (* (* -1/6 y) y) 1) y)
1.0ms	y	@	-inf	(/ 1 (+ (* (cos y) z) (* (sin y) x)))

simplify202.0ms (2.6%)

Memory

-2.9MiB live, 264.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 878×	`lower-fma.f64`
3 878×	`lower-fma.f32`
2 895×	`lower-*.f64`
2 895×	`lower-*.f32`
1 131×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	550	6385
1	1848	5918
2	6694	5808
0	8268	5444

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 630

Calls

Call 1

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

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

rewrite315.0ms (4.1%)

Memory

30.2MiB live, 429.2MiB allocated

Rules

2 866×	`lower-fma.f32`
2 859×	`lower-fma.f64`
2 150×	`lower-/.f32`
2 147×	`lower-/.f64`
1 857×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	388
0	88	374
1	285	285
2	1849	281
0	8373	280

Stop Event

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

Counts

25 → 709

Calls

Call 1

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

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

eval301.0ms (3.9%)

Memory: -6.7MiB live, 367.1MiB allocated
Compiler: Compiled 52 488 to 2 810 computations (94.6% saved)

prune286.0ms (3.7%)

Memory

29.2MiB live, 467.2MiB allocated

Pruning

40 alts after pruning (34 fresh and 6 done)

	Pruned	Kept	Total
New	1 431	21	1 452
Fresh	8	13	21
Picked	3	2	5
Done	0	4	4
Total	1 442	40	1 482

Accuracy

100.0%

Counts

1 482 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.3%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
	78.4%	(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) z (*.f64 (sin.f64 y) x))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	47.6%	(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	43.0%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))
	47.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	52.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))))
	53.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 y x z))))
▶	38.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x))))
	63.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z))))
	37.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (fma.f64 (neg.f64 (/.f64 y (*.f64 z z))) x (/.f64 #s(literal 1 binary64) z))))
	63.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 (fma.f64 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) x (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))))
	33.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 (fma.f64 (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) z (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))))
▶	41.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z)))
✓	46.1%	(+.f64 (.f64 x (sin.f64 y)) (exp.f64 (log.f64 (.f64 (cos.f64 y) z))))
	47.5%	(.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	52.8%	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
▶	88.7%	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
	63.5%	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (*.f64 (cos.f64 y) z))
	52.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 y) x) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 y x))) y x) y z))
	45.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) z)) y x) y) (-.f64 (.f64 (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) z)) y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) z)) y) x)) z))
▶	39.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z))
✓	53.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
	17.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 x x)) (-.f64 (.f64 x y) z)) (.f64 (-.f64 (.f64 x y) z) (.f64 z z))) (.f64 (-.f64 (.f64 x y) z) (-.f64 (*.f64 x y) z))))
	34.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 x y (neg.f64 z)) (fma.f64 x y z)) (fma.f64 x y (neg.f64 z))))
	13.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) #s(literal 1 binary64)) (.f64 #s(approx (+ (* (* (* x y) y) x) (* z z)) (.f64 z z)) (-.f64 (.f64 x y) z))))
	23.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (-.f64 (/.f64 (.f64 (.f64 y y) (.f64 x x)) (-.f64 (.f64 x y) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x y) z))))
✓	38.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	10.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) y) y) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) y) y)) (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) y) y) y))) x))
▶	15.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))) x))
	15.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx ( (+ (* -1/5040 (* y y)) 1/120) y) (.f64 (.f64 (*.f64 y y) y) #s(literal -1/5040 binary64))) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y)) x))
✓	15.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) y)) x))
	3.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) #s(approx ( (+ (* (* -1/6 y) y) 1) y) (.f64 (.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) x))
	44.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (* (* (+ (* (* (* x y) y) x) (* z z)) (* (+ (* x y) z) (- (* x y) z))) 1) (* (+ (* (* (* x y) y) x) (* z z)) (- (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
	39.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) y) z) (fma.f64 (neg.f64 z) (.f64 (.f64 #s(literal 1/2 binary64) y) y) z)))
	15.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) y) z) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x) y)))
	12.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) y) z) (.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) x) y)) y) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 y y) y))))
	2.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y x)) y) y)))
✓	15.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
	15.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) x) y)))

Compiler

Compiled 1 516 to 783 computations (48.4% saved)

simplify199.0ms (2.6%)

Memory

-21.4MiB live, 209.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (sin.f64 y) x)
cost-diff	0	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x))))
cost-diff	0	#s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y))))
cost-diff	0	(.f64 #s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))) x)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))) x))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) z)
cost-diff	0	#s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z)))
cost-diff	0	(.f64 (.f64 y z) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z))
cost-diff	0	(/.f64 (cos.f64 y) x)
cost-diff	0	(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
cost-diff	704	(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)

Rules

2 013×	`lower-fma.f32`
2 009×	`lower-fma.f64`
1 996×	`lower-*.f32`
1 988×	`lower-*.f64`
935×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	401
0	80	393
1	126	377
2	207	353
3	380	347
4	669	345
5	1079	345
6	1275	345
7	2017	345
8	3366	345
9	4724	345
10	5890	345
11	7432	345
0	8076	324

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(/.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
z
(sin.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z))
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z)
#s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64)))
(.f64 (.f64 y z) #s(literal -1/2 binary64))
(*.f64 y z)
y
z
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))) x))
(.f64 #s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))) x)
#s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))
#s(literal 1 binary64)
(/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal -1 binary64)
(.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)
(fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))
(.f64 (.f64 y y) (*.f64 y y))
#s(literal 1/36 binary64)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x)))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x

Outputs
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(/.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
z
(sin.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 #s(literal -1/2 binary64) z) y)) y z))
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z)
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 #s(literal -1/2 binary64) z) y)) y z)
#s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64)))
#s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 #s(literal -1/2 binary64) z) y))
(.f64 (.f64 y z) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) z) y)
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
z
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) y) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (/.f64 y (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) x))
(.f64 #s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))) x)
(.f64 #s(approx (sin y) (.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) y) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (/.f64 y (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))) x)
#s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y))))
#s(approx (sin y) (.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) y) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))
(.f64 (fma.f64 (.f64 #s(literal -1/36 binary64) y) (.f64 (.f64 y y) y) #s(literal 1 binary64)) (/.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y))
(/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal -1/36 binary64) (.f64 (.f64 y y) y)) (*.f64 y y) y))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal -1 binary64)
(.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)
(.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) y) (.f64 (.f64 y y) y) #s(literal -1 binary64)) y)
(fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/36 binary64) y) (.f64 (*.f64 y y) y) #s(literal -1 binary64))
(.f64 (.f64 y y) (*.f64 y y))
(.f64 (.f64 (*.f64 y y) y) y)
#s(literal 1/36 binary64)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x

localize161.0ms (2.1%)

Memory

12.7MiB live, 267.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.09375	(*.f64 (sin.f64 y) x)
accuracy	0.171875	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x)))
accuracy	0.25390625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x))))
accuracy	39.4367694124702	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x))
accuracy	0.13738251953688402	(.f64 (.f64 y y) (*.f64 y y))
accuracy	18.608879889353883	(/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y))
accuracy	30.50209054889394	#s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y))))
accuracy	39.4367694124702	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))) x))
accuracy	0	(/.f64 #s(literal 1 binary64) z)
accuracy	0.25390625	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z)))
accuracy	36.95285126167115	#s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))
accuracy	0.00390625	(.f64 (.f64 y z) #s(literal -1/2 binary64))
accuracy	0.02734375	(fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z)
accuracy	30.201592203839855	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z))
accuracy	42.685872612349584	#s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64)))
accuracy	0.00390625	(cos.f64 y)
accuracy	0.09375	(/.f64 (cos.f64 y) x)
accuracy	0.1328125	(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
accuracy	7.122161065034169	(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)

Samples

101.0ms

256×

valid

Compiler

Compiled 273 to 44 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 40.0ms (49% of total)

const: 11.0ms (13.5% of total)

ival-div: 9.0ms (11% of total)

ival-add: 9.0ms (11% of total)

ival-cos: 6.0ms (7.4% of total)

ival-sin: 5.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.6%)

Memory

-12.2MiB live, 106.4MiB allocated

Counts

22 → 600

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) (patch (.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) (patch #s(approx (/ 1 (/ 1 (+ ( (cos y) z) (* (sin y) x)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) (patch (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 y) x) (patch (/.f64 (cos.f64 y) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z) (patch (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) (patch #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y z) #s(literal -1/2 binary64)) (patch (.f64 (.f64 y z) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))) x)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))) x) (patch (.f64 #s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))) x) #<representation binary64>) () ())
#s(alt #s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))) (patch #s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ ( (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ ( (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 (sin.f64 y) x)) (patch #s(approx (+ ( (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 y) x) (patch (.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)) (patch (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) (.f64 y y)) (patch (.f64 (.f64 y y) (.f64 y y)) #<representation binary64>) () ())

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

Calls

150 calls:

Time	Variable		Point	Expression
10.0ms	z	@	0	(* (+ (* (/ (cos y) x) z) (sin y)) x)
2.0ms	y	@	-inf	(/ (+ (* (* y y) -1/6) -1) (* (+ (* (* (* y y) (* y y)) 1/36) -1) y))
1.0ms	y	@	inf	(/ 1 (/ (+ (* (* y y) -1/6) -1) (* (+ (* (* (* y y) (* y y)) 1/36) -1) y)))
1.0ms	y	@	-inf	(* (+ (* (/ (cos y) x) z) (sin y)) x)
1.0ms	y	@	inf	(* (+ (* (/ (cos y) x) z) (sin y)) x)

simplify197.0ms (2.6%)

Memory

26.8MiB live, 289.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 915×	`lower-fma.f64`
3 915×	`lower-fma.f32`
3 234×	`lower-*.f64`
3 234×	`lower-*.f32`
1 064×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	476	6458
1	1506	6323
2	5166	6278
0	8119	5834

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 589

Calls

Call 1

Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(/ z x)
(+ y (/ z x))
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(/ (* z (cos y)) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(+ (sin y) (/ (* z (cos y)) x))
(/ (* z (cos y)) x)
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(/ (* z (cos y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(/ 1 x)
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 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)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(/ (cos y) x)
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(* -1/6 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
x
(+ x (* -1/2 (* y z)))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (* x (sin y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ 1 (* z (cos y)))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/ 1 (* z (cos y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(/ 1 (* x (sin y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/ 1 (* x (sin y)))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (* x (sin y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ 1 (* z (cos y)))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/ 1 (* z (cos y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(/ 1 (* x (sin y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/ 1 (* x (sin y)))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
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(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(/ 1 y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2))))))) y)
(/ -6 (pow y 3))
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 3)))
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 3))
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 3))
(/ -6 (pow y 3))
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 3)))
(* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow y 2))) (/ 216 (pow y 4)))) (pow y 3)))
(* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow y 2))) (+ (* 1296 (/ 1 (pow y 6))) (/ 216 (pow y 4))))) (pow y 3)))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)

Outputs
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) y (.f64 #s(literal -1/2 binary64) z)) y x) y z)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) y (.f64 #s(literal -1/2 binary64) z)) y x) y z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(/ z x)
(/.f64 z x)
(+ y (/ z x))
(+.f64 (/.f64 z x) y)
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 z x) #s(literal 1 binary64)) y (/.f64 z x))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 z x))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
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(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(fma.f64 (/.f64 (neg.f64 (sin.f64 y)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) x (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/.f64 (fma.f64 (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (neg.f64 x) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) z)) (.f64 x x) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) z) (.f64 z z))) (fma.f64 (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (neg.f64 x) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) z)) (*.f64 x x) (/.f64 #s(literal 1 binary64) (cos.f64 y))))) z)
(/ 1 (* z (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(neg.f64 (fma.f64 (/.f64 (sin.f64 y) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) x (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z))))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/.f64 (fma.f64 (/.f64 (sin.f64 y) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (neg.f64 x) (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) z)) (.f64 x x) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) z)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x (-.f64 (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (.f64 x x)) (.f64 z (.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) z))) (/.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z))))) z) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z)
(/ 1 (* z (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(fma.f64 (/.f64 (neg.f64 (sin.f64 y)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) x (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) z) z)) (/.f64 (neg.f64 (sin.f64 y)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) z)))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (neg.f64 x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) z) z))) x (/.f64 (neg.f64 (sin.f64 y)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) x (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/.f64 (fma.f64 (/.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (neg.f64 z) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x)) (.f64 z z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/.f64 (fma.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x) (.f64 x x))) (fma.f64 (/.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (neg.f64 z) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x)) (*.f64 z z) (/.f64 #s(literal 1 binary64) (sin.f64 y))))) x)
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(neg.f64 (fma.f64 (/.f64 (cos.f64 y) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x)) z (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x))))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/.f64 (fma.f64 (/.f64 (cos.f64 y) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (neg.f64 z) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) x)) (.f64 z z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z (-.f64 (/.f64 (.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) z) z) z) (.f64 x (.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x))) (/.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x))))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x)
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) y (.f64 #s(literal -1/2 binary64) z)) y x) y z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/120 binary64) x) y) y (*.f64 #s(literal -1/6 binary64) x)) y) y x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/5040 binary64) x) y) y (.f64 #s(literal 1/120 binary64) x)) y) y (*.f64 #s(literal -1/6 binary64) x)) y) y x) y)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2))))) y)
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) y) y #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2))))))) y)
(/.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/216 binary64) y) y #s(literal 1/36 binary64)) y) y #s(literal 1/6 binary64)) y) y #s(literal 1 binary64)) y)
(/ -6 (pow y 3))
(/.f64 #s(literal -6 binary64) (.f64 (.f64 y y) y))
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 3)))
(/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (.f64 y y))) (.f64 (*.f64 y y) y))
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 3))
(/.f64 (-.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 216 binary64) (.f64 y y)) #s(literal 36 binary64)) (.f64 y y))) (.f64 (.f64 y y) y))
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 3))
(/.f64 (-.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (.f64 y y))) (/.f64 (+.f64 (/.f64 #s(literal 1296 binary64) (.f64 y y)) #s(literal 216 binary64)) (.f64 (.f64 y y) (.f64 y y)))) (.f64 (*.f64 y y) y))
(/ -6 (pow y 3))
(/.f64 #s(literal -6 binary64) (.f64 (.f64 y y) y))
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 3)))
(/.f64 (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (.f64 y y))) (.f64 (*.f64 y y) y))
(* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow y 2))) (/ 216 (pow y 4)))) (pow y 3)))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 216 binary64) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 36 binary64) (.f64 y y))) #s(literal 6 binary64)) (.f64 (.f64 (neg.f64 y) y) y))
(* -1 (/ (+ 6 (+ (* 36 (/ 1 (pow y 2))) (+ (* 1296 (/ 1 (pow y 6))) (/ 216 (pow y 4))))) (pow y 3)))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1296 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (.f64 y y))) (+.f64 (/.f64 #s(literal 216 binary64) (.f64 (.f64 y y) (.f64 y y))) #s(literal 6 binary64))) (.f64 (.f64 (neg.f64 y) y) y))
(pow y 4)
(.f64 (.f64 y y) (*.f64 y y))
(pow y 4)
(.f64 (.f64 y y) (*.f64 y y))
(pow y 4)
(.f64 (.f64 y y) (*.f64 y y))
(pow y 4)
(.f64 (.f64 y y) (*.f64 y y))
(pow y 4)
(.f64 (.f64 y y) (*.f64 y y))
(pow y 4)
(.f64 (.f64 y y) (*.f64 y y))
(pow y 4)
(.f64 (.f64 y y) (*.f64 y y))
(pow y 4)
(.f64 (.f64 y y) (*.f64 y y))
(pow y 4)
(.f64 (.f64 y y) (*.f64 y y))
(pow y 4)
(.f64 (.f64 y y) (*.f64 y y))
(pow y 4)
(.f64 (.f64 y y) (*.f64 y y))
(pow y 4)
(.f64 (.f64 y y) (*.f64 y y))

rewrite242.0ms (3.2%)

Memory

-21.1MiB live, 363.7MiB allocated

Rules

3 063×	`lower-fma.f32`
3 059×	`lower-fma.f64`
2 087×	`lower-*.f32`
2 079×	`lower-*.f64`
2 033×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	346
0	80	326
1	289	278
2	1812	278
0	8615	259

Stop Event

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

Counts

22 → 410

Calls

Call 1

Inputs
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
(/.f64 (cos.f64 y) x)
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z))
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z)
#s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64)))
(.f64 (.f64 y z) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))) x))
(.f64 #s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)))) x)
#s(approx (sin y) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x)))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(cos.f64 y)
(/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y))
(.f64 (.f64 y y) (*.f64 y y))

Outputs
(.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y))))
(.f64 (.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (cos.f64 y) x)) #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x)))))
(.f64 (.f64 x (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.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 z (/.f64 (cos.f64 y) x)) (sin.f64 y))))
(.f64 (.f64 x (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x)))))
(*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 z (/.f64 (cos.f64 y) x)) x) (.f64 (.f64 z (/.f64 (cos.f64 y) x)) x)) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 (.f64 z (/.f64 (cos.f64 y) x)) x) (*.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 z (/.f64 (cos.f64 y) x))) (.f64 x (.f64 z (/.f64 (cos.f64 y) x)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 x (.f64 z (/.f64 (cos.f64 y) x))) (*.f64 (sin.f64 y) x)))
(/.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 (.f64 z (/.f64 (cos.f64 y) x)) x) (.f64 (.f64 z (/.f64 (cos.f64 y) x)) x))) (-.f64 (.f64 (sin.f64 y) x) (.f64 (*.f64 z (/.f64 (cos.f64 y) x)) x)))
(/.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 (.f64 z (/.f64 (cos.f64 y) x))) (.f64 x (.f64 z (/.f64 (cos.f64 y) x))))) (-.f64 (.f64 (sin.f64 y) x) (.f64 x (*.f64 z (/.f64 (cos.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 z (/.f64 (cos.f64 y) x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 z (/.f64 (cos.f64 y) x)) x) (.f64 (.f64 z (/.f64 (cos.f64 y) x)) x) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 (.f64 z (/.f64 (cos.f64 y) x)) x) (.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 z (/.f64 (cos.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 z (/.f64 (cos.f64 y) x))) (.f64 x (.f64 z (/.f64 (cos.f64 y) x))) (-.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 (.f64 z (/.f64 (cos.f64 y) x))) (.f64 (sin.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z (/.f64 (cos.f64 y) x)) x) #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 (.f64 (.f64 z (/.f64 (cos.f64 y) x)) x) (.f64 (.f64 z (/.f64 (cos.f64 y) x)) x)) (.f64 (.f64 (sin.f64 y) x) (.f64 (.f64 z (/.f64 (cos.f64 y) x)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 z (/.f64 (cos.f64 y) x))) #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 (.f64 x (.f64 z (/.f64 (cos.f64 y) x))) (.f64 x (.f64 z (/.f64 (cos.f64 y) x)))) (.f64 (.f64 (sin.f64 y) x) (.f64 x (.f64 z (/.f64 (cos.f64 y) x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x)) (neg.f64 (-.f64 (*.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (cos.f64 y) x)) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.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 (/.f64 (cos.f64 y) x)) (sin.f64 y))))
(/.f64 (neg.f64 (.f64 x (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (cos.f64 y) x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x) (-.f64 (*.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y)))
(/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (cos.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (*.f64 x x))))
(/.f64 (.f64 x (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (*.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y)))
(/.f64 (.f64 x (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y)) (.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x))) (.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (cos.f64 y) x)) #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y)) (.f64 x (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.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 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x))) (.f64 x (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (cos.f64 y) x)) #s(literal 3 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(fma.f64 (.f64 z (/.f64 (cos.f64 y) x)) x (.f64 (sin.f64 y) x))
(fma.f64 (.f64 (sin.f64 y) x) #s(literal 1 binary64) (.f64 (*.f64 z (/.f64 (cos.f64 y) x)) x))
(fma.f64 (.f64 (sin.f64 y) x) #s(literal 1 binary64) (.f64 x (*.f64 z (/.f64 (cos.f64 y) x))))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) x) (.f64 (*.f64 z (/.f64 (cos.f64 y) x)) x))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) x) (.f64 x (*.f64 z (/.f64 (cos.f64 y) x))))
(fma.f64 (sin.f64 y) x (.f64 (.f64 z (/.f64 (cos.f64 y) x)) x))
(fma.f64 (sin.f64 y) x (.f64 x (.f64 z (/.f64 (cos.f64 y) x))))
(fma.f64 x (.f64 z (/.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) x))
(fma.f64 x (sin.f64 y) (.f64 (.f64 z (/.f64 (cos.f64 y) x)) x))
(fma.f64 x (sin.f64 y) (.f64 x (.f64 z (/.f64 (cos.f64 y) x))))
(+.f64 (.f64 (.f64 z (/.f64 (cos.f64 y) x)) x) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 x (.f64 z (/.f64 (cos.f64 y) x))) (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 (*.f64 z (/.f64 (cos.f64 y) x)) x))
(+.f64 (.f64 (sin.f64 y) x) (.f64 x (*.f64 z (/.f64 (cos.f64 y) x))))
#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
(.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) (*.f64 z (/.f64 (cos.f64 y) x)))))
(.f64 (neg.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.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 z (/.f64 (cos.f64 y) x)) (sin.f64 y)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (cos.f64 y) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (*.f64 x x))))))
(.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.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 z (/.f64 (cos.f64 y) x)) (sin.f64 y))))
(.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (cos.f64 y) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x)) (.f64 (*.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y))))))
(.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (cos.f64 y) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (*.f64 x x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x)) (-.f64 (.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x)) (-.f64 (.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y))) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x)) (-.f64 (.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y))) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y))) (.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x)) (-.f64 (.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (*.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x)))) (neg.f64 (-.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (neg.f64 (-.f64 (.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (cos.f64 y) x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (/.f64 (cos.f64 y) x))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x))))))
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(/.f64 (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (*.f64 y y) y)) y #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) #s(literal 1 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (*.f64 y y) y)) y #s(literal -1 binary64)) y)))
(/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (*.f64 y y) y)) y #s(literal -1 binary64)) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) y)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (*.f64 y y) y)) y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) y)) (fma.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y y) y)) (.f64 (*.f64 y y) y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) y) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (fma.f64 (.f64 #s(literal -1/216 binary64) (.f64 (.f64 y y) y)) (.f64 (*.f64 y y) y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (*.f64 y y) y)) y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 (.f64 y y) y) y) (.f64 (.f64 (.f64 y y) y) y))) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal 1 binary64))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) y)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))
(exp.f64 (neg.f64 (.f64 (neg.f64 (log.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 y y) y) y)
(.f64 (.f64 y y) (*.f64 y y))
(.f64 y (.f64 (*.f64 y y) y))
(pow.f64 (.f64 (.f64 (*.f64 y y) y) y) #s(literal 1 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 y #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))

eval122.0ms (1.6%)

Memory: -18.1MiB live, 220.2MiB allocated
Compiler: Compiled 18 526 to 1 626 computations (91.2% saved)

prune260.0ms (3.4%)

Memory

19.8MiB live, 267.8MiB allocated

Pruning

48 alts after pruning (40 fresh and 8 done)

	Pruned	Kept	Total
New	978	21	999
Fresh	10	19	29
Picked	1	4	5
Done	2	4	6
Total	991	48	1 039

Accuracy

100.0%

Counts

1 039 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.4%	(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) z (*.f64 (sin.f64 y) x))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	47.6%	(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	18.7%	(pow.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	43.0%	(/.f64 (fma.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))
	18.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 #s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	38.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (sin.f64 y) x))))
	63.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z))))
	15.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))))
	15.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (* (sin y) x) (*.f64 y x)))))
	37.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (fma.f64 y (/.f64 x (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) z))))
	63.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 (fma.f64 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) x (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))))
✓	41.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 #s(literal 1 binary64) z)))
	47.5%	(.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	52.8%	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
	37.7%	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (/.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) x) (-.f64 (*.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y))))
	88.6%	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))))
✓	88.7%	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
	88.7%	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) z (sin.f64 y)) x))
	88.8%	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
	88.7%	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 #s(literal 1 binary64) x) z) (sin.f64 y)) x))
	32.6%	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (cos.f64 y) x)) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 x x)) (.f64 (*.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y))))) x))
	88.7%	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (.f64 (+.f64 (.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y)) x))
	63.5%	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (*.f64 (cos.f64 y) z))
	46.6%	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 z x) #s(literal 1 binary64)) y (/.f64 z x))) x))
	35.9%	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (/.f64 z x)) x))
	45.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) z)) y x) y) (-.f64 (.f64 (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) z)) y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) z)) y) x)) z))
	39.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (/.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) z))) y z))
✓	39.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 y z) #s(literal -1/2 binary64))) y z))
✓	53.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
	17.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 x x)) (-.f64 (.f64 x y) z)) (.f64 (-.f64 (.f64 x y) z) (.f64 z z))) (.f64 (-.f64 (.f64 x y) z) (-.f64 (*.f64 x y) z))))
	34.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (*.f64 (fma.f64 x y (neg.f64 z)) (fma.f64 x y z)) (fma.f64 x y (neg.f64 z))))
	13.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x y) y) x (.f64 z z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))) #s(literal 1 binary64)) (.f64 #s(approx (+ (* (* (* x y) y) x) (* z z)) (.f64 z z)) (-.f64 (.f64 x y) z))))
	39.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 #s(literal -1/2 binary64) z) y)) y z))))
	23.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 #s(literal -1/2 binary64) z) y)) y z) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 #s(literal -1/2 binary64) z) y)) y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) (.f64 (.f64 #s(literal -1/2 binary64) z) y)) y (neg.f64 z)))))
✓	38.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	10.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) y) y) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) y) y)) (.f64 y y)) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) y) y) y))) x))
	14.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 y y) y)) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 (*.f64 y y) y)) y #s(literal -1 binary64)) y)))))) x))
	15.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( (* y y) -1/6) -1) (* (+ (* (* (* y y) (* y y)) 1/36) -1) y)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) y)))) x))
	15.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (.f64 (fma.f64 #s(approx ( (+ (* -1/5040 (* y y)) 1/120) y) (.f64 (.f64 (*.f64 y y) y) #s(literal -1/5040 binary64))) y #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)) y)) x))
	3.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) #s(approx (/ 1 (/ (+ ( (* y y) -1/6) -1) (* (+ (* (* (* y y) (* y y)) 1/36) -1) y))) (.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))) x))
	3.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) #s(approx ( (+ (* (* -1/6 y) y) 1) y) (.f64 (.f64 (*.f64 y y) y) #s(literal -1/6 binary64)))) x))
	44.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (* (* (+ (* (* (* x y) y) x) (* z z)) (* (+ (* x y) z) (- (* x y) z))) 1) (* (+ (* (* (* x y) y) x) (* z z)) (- (* x y) z))) (*.f64 (+.f64 (/.f64 z y) x) y)))
	15.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) y) z) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
	15.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) y) z) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) (*.f64 y x) x) y)))
	2.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* (* -1/6 y) x) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 y x)) y) y)))
✓	15.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
	15.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (.f64 y y) x) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) x) y)))

Compiler

Compiled 2 256 to 786 computations (65.2% saved)

regimes136.0ms (1.8%)

Memory

0.8MiB live, 81.2MiB allocated

Counts

76 → 1

Calls

Call 1

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

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

Calls

4 calls:

49.0ms	y
42.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
20.0ms	x
20.0ms	z

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes160.0ms (2.1%)

Memory

-34.6MiB live, 41.9MiB allocated

Counts

53 → 5

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
15.0ms	z
15.0ms	x
15.0ms	y

Results

Accuracy	Segments	Branch
77.2%	3	`x`
81.8%	5	`y`
77.2%	3	`z`
67.8%	3	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes116.0ms (1.5%)

Memory

10.0MiB live, 46.9MiB allocated

Counts

48 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

87.0ms	z
13.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
70.3%	3	`z`
71.8%	3	`x`
76.7%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes121.0ms (1.6%)

Memory

3.3MiB live, 46.8MiB allocated

Counts

47 → 1

Calls

Call 1

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

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

Calls

4 calls:

78.0ms	z
13.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
13.0ms	x
13.0ms	y

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
15.9%	1	`y`
15.9%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
15.9%	1	`x`
15.9%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch131.0ms (1.7%)

Memory

-7.2MiB live, 31.5MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	4.624702819823811e+109	9.039288060592015e+115
15.0ms	4.512835806438721e-19	2.782091800905377
65.0ms	-12790779.281034924	-0.0004924407105202718
24.0ms	-5.888733919440745e+67	-6.308851889943923e+54

Samples

53.0ms

624×

valid

Compiler

Compiled 817 to 522 computations (36.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sin: 15.0ms (39.4% of total)

ival-cos: 12.0ms (31.5% of total)

ival-mult: 8.0ms (21% of total)

ival-add: 3.0ms (7.9% of total)

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

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

bsearch22.0ms (0.3%)

Memory

14.8MiB live, 14.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	4.512835806438721e-19	2.782091800905377
12.0ms	-50496782.0232001	-12790779.281034924

Samples

13.0ms

160×

valid

Compiler

Compiled 435 to 269 computations (38.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sin: 4.0ms (42.2% of total)

ival-cos: 3.0ms (31.7% of total)

ival-mult: 2.0ms (21.1% of total)

ival-add: 1.0ms (10.6% of total)

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

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

simplify48.0ms (0.6%)

Memory

-28.3MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	192
1	58	192

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 y #s(literal -5999999999999999941631008966280967758674771065212437004288 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -3804640965202595/576460752303423488 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 5476377146882523/288230376151711744 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z x) y z)) (if (<=.f64 y #s(literal 44999999999999998991384097089279870176051697925806072819476058234065304194780720389148561921664695127059613089792 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))))))
(if (<=.f64 y #s(literal -13000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) x (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))

Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 y #s(literal -5999999999999999941631008966280967758674771065212437004288 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -3804640965202595/576460752303423488 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 5476377146882523/288230376151711744 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z x) y z)) (if (<=.f64 y #s(literal 44999999999999998991384097089279870176051697925806072819476058234065304194780720389148561921664695127059613089792 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))))))
(if (<=.f64 y #s(literal -5999999999999999941631008966280967758674771065212437004288 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal -3804640965202595/576460752303423488 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 5476377146882523/288230376151711744 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) z x) y z)) (if (<=.f64 y #s(literal 44999999999999998991384097089279870176051697925806072819476058234065304194780720389148561921664695127059613089792 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))))))
(if (<=.f64 y #s(literal -13000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) x (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -13000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) y) x (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 y x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* x y) z) (*.f64 x y)))

soundness874.0ms (11.4%)

Memory

15.3MiB live, 530.5MiB allocated

Rules

8 304×	`lower-fma.f64`
8 304×	`lower-fma.f32`
6 429×	`lower-fma.f64`
6 429×	`lower-fma.f32`
5 740×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8391	20
0	258	3703
1	867	3646
2	2769	3619
3	6375	3594
0	8420	3228
0	109	682
1	344	678
2	991	668
3	2652	662
4	4669	662
5	6964	662
0	8196	606

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 195 to 92 computations (52.8% saved)

preprocess42.0ms (0.5%)

Memory: 21.5MiB live, 100.2MiB allocated
Compiler: Compiled 224 to 92 computations (58.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	28	167
0	47	159
1	66	159
2	86	159
3	166	159
4	300	159
5	387	159
6	405	159
7	417	159
8	519	159
9	536	159
10	561	159
11	562	159
0	562	159

Iter	Nodes	Cost
0	28	167
0	47	159
1	66	159
2	86	159
3	166	159
4	300	159
5	387	159
6	405	159
7	417	159
8	519	159
9	536	159
10	561	159
11	562	159
0	562	159

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (16.4%)

explain115.0ms (1.5%)

preprocess45.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize35.0ms (0.5%)

series9.0ms (0.1%)

simplify206.0ms (2.7%)

rewrite253.0ms (3.3%)

eval32.0ms (0.4%)

prune42.0ms (0.5%)

simplify39.0ms (0.5%)

localize168.0ms (2.2%)

series46.0ms (0.6%)

simplify220.0ms (2.9%)

rewrite360.0ms (4.7%)

eval152.0ms (2%)

prune174.0ms (2.3%)

simplify192.0ms (2.5%)

localize239.0ms (3.1%)

series67.0ms (0.9%)

simplify202.0ms (2.6%)

rewrite315.0ms (4.1%)

eval301.0ms (3.9%)

prune286.0ms (3.7%)

simplify199.0ms (2.6%)

localize161.0ms (2.1%)

series49.0ms (0.6%)

simplify197.0ms (2.6%)

rewrite242.0ms (3.2%)

eval122.0ms (1.6%)

prune260.0ms (3.4%)

regimes136.0ms (1.8%)

regimes160.0ms (2.1%)

regimes116.0ms (1.5%)

regimes121.0ms (1.6%)

regimes6.0ms (0.1%)

bsearch131.0ms (1.7%)

bsearch22.0ms (0.3%)

simplify48.0ms (0.6%)

soundness874.0ms (11.4%)

preprocess42.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	28	167
0	47	159
1	66	159
2	86	159
3	166	159
4	300	159
5	387	159
6	405	159
7	417	159
8	519	159
9	536	159
10	561	159
11	562	159
0	562	159