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

0.2MiB live, 0.2MiB 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)

sample1.8s (14.5%)

Memory

24.8MiB live, 1 211.3MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 907.0ms

ival-sin: 408.0ms (45% of total)

ival-cos: 274.0ms (30.2% of total)

ival-mult: 181.0ms (20% of total)

ival-add: 34.0ms (3.8% of total)

ival-true: 7.0ms (0.8% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain134.0ms (1.1%)

Memory

11.6MiB live, 206.8MiB 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

63.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-cos: 23.0ms (50.6% of total)

ival-sin: 13.0ms (28.6% of total)

ival-mult: 7.0ms (15.4% of total)

ival-add: 2.0ms (4.4% of total)

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

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

preprocess51.0ms (0.4%)

Memory

-15.7MiB live, 63.2MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`associate-r`
160×	`unsub-neg`
142×	`associate-l`
136×	`distribute-lft-neg-in`
110×	`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 x (sin.f64 y) (*.f64 z (cos.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory

9.8MiB live, 9.8MiB 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

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 x (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 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)

localize39.0ms (0.3%)

Memory

-5.1MiB live, 68.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.0078125	(+.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

28.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-sin: 10.0ms (49.4% of total)

ival-cos: 5.0ms (24.7% of total)

ival-mult: 3.0ms (14.8% of total)

ival-add: 1.0ms (4.9% of total)

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

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

series9.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB 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)))
1.0ms	y	@	-inf	(+ (* x (sin y)) (* z (cos y)))

simplify248.0ms (2%)

Memory

-38.0MiB live, 412.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 858×	`lower-fma.f64`
12 858×	`lower-fma.f32`
4 718×	`lower-*.f64`
4 718×	`lower-*.f32`
2 178×	`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 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 x (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 y (fma.f64 (.f64 y x) (.f64 y (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(.f64 y (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) 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 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (.f64 z (.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #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 z (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)

rewrite494.0ms (4.1%)

Memory

21.1MiB live, 500.3MiB allocated

Rules

11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
4 168×	`lower-*.f32`
4 164×	`lower-*.f64`
4 070×	`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 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.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 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))))
(+.f64 (/.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))
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(.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))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(.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))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)))))
(.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))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (fma.f64 (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (-.f64 (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 y) (.f64 (.f64 x z) (cos.f64 y))) #s(literal 3 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (-.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 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.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 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.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 #s(literal 1 binary64) (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(neg.f64 (*.f64 (cos.f64 y) (neg.f64 z)))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(.f64 #s(literal -1 binary64) (.f64 (cos.f64 y) (neg.f64 z)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))
(cos.f64 y)

eval57.0ms (0.5%)

Memory: -22.0MiB live, 61.3MiB allocated
Compiler: Compiled 10 212 to 558 computations (94.5% saved)

prune45.0ms (0.4%)

Memory

13.9MiB live, 90.9MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

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

Accuracy

100.0%

Counts

283 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.6%	(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
▶	57.6%	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
	99.8%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
▶	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	57.6%	(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
	47.7%	(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	27.2%	(/.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 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
	44.8%	(.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) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))))
	51.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
	51.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z))
▶	52.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	60.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
▶	40.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))

Compiler

Compiled 832 to 376 computations (54.8% saved)

simplify273.0ms (2.2%)

Memory

-5.7MiB live, 313.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	14400	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 x (sin.f64 y))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
cost-diff	0	(fma.f64 y x z)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 x (sin.f64 y))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))

Rules

10 010×	`lower-fma.f32`
10 002×	`lower-fma.f64`
3 332×	`lower-*.f32`
3 320×	`lower-*.f64`
1 816×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	285
0	59	279
1	104	277
2	201	277
3	558	277
4	1845	276
5	4638	266
6	7541	266
0	8027	260

Stop Event

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

Calls

Call 1

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

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

localize455.0ms (3.7%)

Memory

-109.3MiB live, 343.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	1.6936433650061118	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
accuracy	4.123465942690538	(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
accuracy	16.472198661227893	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	20.83700500406926	(/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
accuracy	0.03515625	(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
accuracy	0.09375	(*.f64 x (sin.f64 y))
accuracy	0.15625	(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
accuracy	0.234375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
accuracy	0	(sin.f64 y)
accuracy	0.09375	(*.f64 x (sin.f64 y))
accuracy	38.036067824875666	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
accuracy	0	(fma.f64 y x z)
accuracy	30.242085537882048	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.03515625	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
accuracy	0.09375	(*.f64 x (sin.f64 y))

Samples

93.0ms	86×	1	valid
40.0ms	132×	0	valid
27.0ms	37×	2	valid
1.0ms	1×	3	valid

Compiler

Compiled 283 to 33 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-cos: 38.0ms (34.3% of total)

ival-mult: 19.0ms (17.2% of total)

ival-sin: 15.0ms (13.5% of total)

ival-div: 12.0ms (10.8% of total)

adjust: 10.0ms (9% of total)

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

ival-sub: 4.0ms (3.6% of total)

ival-neg: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series66.0ms (0.5%)

Memory

-7.7MiB live, 106.8MiB allocated

Counts

16 → 456

Calls

Call 1

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

Outputs
#s(alt z (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* x y)) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ z (* y (+ x (* -1/2 (* y z))))) (taylor 0 y) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<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 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<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 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<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 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<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 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (cos y)) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<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 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<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 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<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 x (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* 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>) () ())) ())
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#s(alt (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor -inf x) (#s(alt (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor -inf x) (#s(alt (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (* -1/3 (* x (pow y 2))))) (taylor 0 y) (#s(alt (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x))))))) (taylor 0 y) (#s(alt (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf y) (#s(alt (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf y) (#s(alt (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf y) (#s(alt (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (taylor inf y) (#s(alt (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (taylor -inf y) (#s(alt (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (taylor -inf y) (#s(alt (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (taylor -inf y) (#s(alt (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (taylor -inf y) (#s(alt (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (patch (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #<representation binary64>) () ())) ())

Calls

114 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
2.0ms	y	@	-inf	(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
2.0ms	x	@	inf	(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
2.0ms	z	@	0	(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
2.0ms	z	@	inf	(+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))

simplify327.0ms (2.7%)

Memory

0.5MiB live, 506.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 918×	`lower-fma.f64`
7 918×	`lower-fma.f32`
6 238×	`lower-*.f64`
6 238×	`lower-*.f32`
4 448×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	893	8397
1	3210	8131
0	8133	7701

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 444

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

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

rewrite1.1s (9.3%)

Memory

22.6MiB live, 1 142.6MiB allocated

Rules

6 396×	`lower-/.f32`
6 388×	`lower-/.f64`
5 650×	`lower-*.f32`
5 638×	`lower-*.f64`
4 260×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	185
0	59	142
1	221	124
2	1583	124
0	9580	124

Stop Event

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

Counts

16 → 2 906

Calls

Call 1

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

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

eval802.0ms (6.6%)

Memory: 13.0MiB live, 1 134.6MiB allocated
Compiler: Compiled 231 346 to 5 119 computations (97.8% saved)

prune490.0ms (4%)

Memory

6.3MiB live, 868.7MiB allocated

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	3 509	32	3 541
Fresh	9	0	9
Picked	2	3	5
Done	0	0	0
Total	3 520	35	3 555

Accuracy

100.0%

Counts

3 555 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.6%	(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 z z)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
	73.4%	(fma.f64 (/.f64 (.f64 (.f64 (cos.f64 y) z) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
▶	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
▶	55.4%	(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	47.7%	(/.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))
	55.4%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	51.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z))))
	52.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z))))
	60.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))
	35.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))))
	40.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z)))
	33.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z)))))
	51.2%	#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z))
	51.4%	#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z))
	92.0%	#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
	60.9%	#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (cos.f64 y)))
	86.1%	#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
	51.1%	#s(approx (+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (/.f64 (.f64 (.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
	60.6%	#s(approx (+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	28.4%	#s(approx (+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
	60.5%	#s(approx (+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
✓	52.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	19.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (.f64 y x) z) (.f64 z z))) (.f64 (-.f64 (.f64 y x) z) (-.f64 (*.f64 y x) z))))
	27.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x))))
	30.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (-.f64 (*.f64 y x) z)))
▶	12.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))))
	30.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
✓	40.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
	15.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
▶	15.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
	42.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
▶	15.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
	15.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 y y)) #s(literal -1/5040 binary64) (.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))))
	15.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))))

Compiler

Compiled 1 331 to 720 computations (45.9% saved)

simplify215.0ms (1.8%)

Memory

-14.7MiB live, 216.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
cost-diff	5824	(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal 1/2 binary64))
cost-diff	7104	(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))))
cost-diff	320	(fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))))
cost-diff	0	(.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
cost-diff	0	(.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (+ (* y x) z) (*.f64 x y))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))

Rules

7 146×	`lower-fma.f32`
7 134×	`lower-fma.f64`
3 426×	`lower-*.f32`
3 398×	`lower-*.f64`
1 254×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	380
0	80	342
1	140	338
2	262	334
3	605	334
4	1081	326
5	1296	326
6	1658	326
7	2659	326
8	4638	326
9	6319	326
10	7530	326
0	8040	316

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (1.3%)

Memory

23.4MiB live, 271.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
accuracy	0.046875	(pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal 1/2 binary64))
accuracy	0.05859375	(*.f64 x (sin.f64 y))
accuracy	0.3046875	(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy	2.231368658665427	(.f64 y (.f64 x (*.f64 y x)))
accuracy	9.583833335505945	(fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))
accuracy	16.595650130568483	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))))
accuracy	23.282716501324902	(/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))
accuracy	0.0546875	(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy	0.05859375	(.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
accuracy	17.143410552490778	#s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
accuracy	20.935188701458937	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
accuracy	0	(*.f64 x y)
accuracy	16.595650130568483	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
accuracy	18.995458430725023	#s(approx (+ (* y x) z) (*.f64 x y))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.03515625	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
accuracy	0.04296875	(*.f64 (cos.f64 y) z)

Samples

74.0ms	143×	0	valid
37.0ms	113×	0	invalid

Compiler

Compiled 302 to 44 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 35.0ms (39.9% of total)

const: 20.0ms (22.8% of total)

ival-sin: 10.0ms (11.4% of total)

ival-add: 8.0ms (9.1% of total)

ival-cos: 5.0ms (5.7% of total)

ival-div: 3.0ms (3.4% of total)

ival-sqrt: 2.0ms (2.3% of total)

ival-pow2: 2.0ms (2.3% of total)

ival-sub: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series60.0ms (0.5%)

Memory

1.5MiB live, 113.5MiB allocated

Counts

22 → 612

Calls

Call 1

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

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

Calls

153 calls:

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

simplify474.0ms (3.9%)

Memory

23.2MiB live, 444.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 220×	`lower-fma.f64`
11 220×	`lower-fma.f32`
6 678×	`lower-*.f64`
6 678×	`lower-*.f32`
3 004×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	744	6428
1	2433	6075
0	8468	5707

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 594

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)))
(* 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)))))
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 (* -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))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* z (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)
(* 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)))))
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)))))
(* 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)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x 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))
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)
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) (- (* 1/120 (pow y 2)) 1/6))))
(* 1/120 (pow y 5))
(* (pow y 5) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 5))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (- (+ 1 (* -1 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) (pow z 2)))) (* -1 (/ (* x y) z))))
(* z (- (+ 1 (* -1 (/ (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) (pow z 3)))) (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (/ (* (pow x 2) (pow y 2)) z)) (* -1 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) z)) (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2)))) z)) (* -1 (* x y))) z)) 1)))
z
(+ z (* x y))
(+ z (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) (* -1 x))))
(+ z (* y (- (* y (- (* -1 (/ (* x (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) z)) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) (* -1 x))))
(* x y)
(* y (+ x (/ z y)))
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (pow y 2)))) (* -1 (/ z y))))
(* y (- (+ x (* -1 (/ (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) (* x (pow y 3))))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ (pow z 2) (* x (pow y 2)))))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x y))) (/ (pow z 2) (* x y))) (* -1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) (* x y))) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) y)) (* -1 z)) y)))))
z
(+ z (* x y))
(+ z (* x (- (* -1 (* x (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) (* -1 y))))
(+ z (* x (- (* x (- (* -1 (/ (* x (* y (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) z)) (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) (* -1 y))))
(* x y)
(* x (+ y (/ z x)))
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y)) (pow x 2)))) (* -1 (/ z x))))
(* x (- (+ y (* -1 (/ (* z (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) (* (pow x 3) y)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ (pow z 2) (* (pow x 2) y))))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x y))) (/ (pow z 2) (* x y))) (* -1 z)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) (* x y))) (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x)) (* -1 z)) x)))))
(* (pow x 2) (pow y 2))
(+ (* -1 (* x (* y z))) (* (pow x 2) (pow y 2)))
(+ (* z (+ z (* -1 (* x y)))) (* (pow x 2) (pow y 2)))
(+ (* z (+ z (* -1 (* x y)))) (* (pow x 2) (pow y 2)))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(* (pow z 2) (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)))
(* (pow z 2) (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))))
(pow z 2)
(+ (* -1 (* x (* y z))) (pow z 2))
(+ (* y (+ (* -1 (* x z)) (* (pow x 2) y))) (pow z 2))
(+ (* y (+ (* -1 (* x z)) (* (pow x 2) y))) (pow z 2))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow z 2) (pow y 2)) (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow z 2) (pow y 2)) (pow x 2))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* x z)) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* x z)) y)) (pow x 2)))
(pow z 2)
(+ (* -1 (* x (* y z))) (pow z 2))
(+ (* x (+ (* -1 (* y z)) (* x (pow y 2)))) (pow z 2))
(+ (* x (+ (* -1 (* y z)) (* x (pow y 2)))) (pow z 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (pow z 2) (pow x 2)) (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (pow z 2) (pow x 2)) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* y z)) x)) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* y z)) x)) (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)))))
(/ 1 (* x y))
(+ (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))
(+ (* z (- (/ z (* (pow x 3) (pow y 3))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y)))
(/ 1 z)
(/ (+ 1 (* -1 (/ (* x y) z))) z)
(/ (+ 1 (+ (* -1 (/ (* x y) z)) (/ (* (pow x 2) (pow y 2)) (pow z 2)))) z)
(/ (+ 1 (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (/ (* (pow x 2) (pow y 2)) (pow z 2))))) z)
(/ 1 z)
(* -1 (/ (- (/ (* x y) z) 1) z))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* x y)) (/ (* (pow x 2) (pow y 2)) z)) z)) 1) z))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (/ (* (pow x 3) (pow y 3)) z)) z))) z)) 1) z))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (+ (* -1 (/ x (pow z 2))) (/ (* (pow x 2) y) (pow z 3)))) (/ 1 z))
(+ (* y (+ (* -1 (/ x (pow z 2))) (* y (+ (* -1 (/ (* (pow x 3) y) (pow z 4))) (/ (pow x 2) (pow z 3)))))) (/ 1 z))
(/ 1 (* x y))
(/ (+ (* -1 (/ z (* (pow x 2) y))) (/ 1 x)) y)
(/ (+ (* -1 (/ z (* (pow x 2) y))) (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2))))) y)
(/ (+ (* -1 (/ z (* (pow x 2) y))) (+ (* -1 (/ (pow z 3) (* (pow x 4) (pow y 3)))) (+ (/ 1 x) (/ (pow z 2) (* (pow x 3) (pow y 2)))))) y)
(/ 1 (* x y))
(* -1 (/ (- (/ z (* (pow x 2) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ z (pow x 2))) (/ (pow z 2) (* (pow x 3) y))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ z (pow x 2))) (* -1 (/ (+ (* -1 (/ (pow z 2) (pow x 3))) (/ (pow z 3) (* (pow x 4) y))) y))) y)) (/ 1 x)) y))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* x (+ (* -1 (/ y (pow z 2))) (/ (* x (pow y 2)) (pow z 3)))) (/ 1 z))
(+ (* x (+ (* -1 (/ y (pow z 2))) (* x (+ (* -1 (/ (* x (pow y 3)) (pow z 4))) (/ (pow y 2) (pow z 3)))))) (/ 1 z))
(/ 1 (* x y))
(/ (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 y)) x)
(/ (+ (* -1 (/ z (* x (pow y 2)))) (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3))))) x)
(/ (+ (* -1 (/ z (* x (pow y 2)))) (+ (* -1 (/ (pow z 3) (* (pow x 3) (pow y 4)))) (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))))) x)
(/ 1 (* x y))
(* -1 (/ (- (/ z (* x (pow y 2))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ z (pow y 2))) (/ (pow z 2) (* x (pow y 3)))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ z (pow y 2))) (* -1 (/ (+ (* -1 (/ (pow z 2) (pow y 3))) (/ (pow z 3) (* x (pow y 4)))) x))) x)) (/ 1 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 (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)))))
(sqrt z)
(+ (sqrt z) (* 1/2 (* (* x y) (sqrt (/ 1 z)))))
(+ (sqrt z) (* y (+ (* 1/2 (* x (sqrt (/ 1 z)))) (* 1/2 (* (* y (- (* -1/2 z) (* 1/4 (/ (pow x 2) z)))) (sqrt (/ 1 z)))))))
(+ (sqrt z) (* y (+ (* 1/2 (* x (sqrt (/ 1 z)))) (* y (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* -1/2 z) (* 1/4 (/ (pow x 2) z))))) (* 1/2 (* (* y (- (* -1/6 x) (* 1/2 (/ (* x (- (* -1/2 z) (* 1/4 (/ (pow x 2) z)))) z)))) (sqrt (/ 1 z)))))))))
(sqrt (+ (* x (sin y)) (* z (cos y))))
(sqrt (+ (* x (sin y)) (* z (cos y))))
(sqrt (+ (* x (sin y)) (* z (cos y))))
(sqrt (+ (* x (sin y)) (* z (cos y))))
(sqrt (+ (* x (sin y)) (* z (cos y))))
(sqrt (+ (* x (sin y)) (* z (cos y))))
(sqrt (+ (* x (sin y)) (* z (cos y))))
(sqrt (+ (* x (sin y)) (* z (cos y))))
(sqrt (* x (sin y)))
(+ (sqrt (* x (sin y))) (* 1/2 (* (sqrt (/ 1 (* x (sin y)))) (* z (cos y)))))
(+ (sqrt (* x (sin y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow (sin y) 3)))) (* z (pow (cos y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x (sin y)))) (cos y))))))
(+ (sqrt (* x (sin y))) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x (sin y)))) (cos y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow (sin y) 3)))) (pow (cos y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 5)))) (* z (pow (cos y) 3)))))))))
(sqrt (* z (cos y)))
(* z (+ (sqrt (/ (cos y) z)) (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y))))))))
(* z (+ (sqrt (/ (cos y) z)) (+ (* -1/8 (* (* (pow x 2) (pow (sin y) 2)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))))) (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y)))))))))
(* z (+ (sqrt (/ (cos y) z)) (+ (* -1/8 (* (* (pow x 2) (pow (sin y) 2)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow (sin y) 3)) (sqrt (/ 1 (* (pow z 7) (pow (cos y) 5)))))) (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y))))))))))
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))
(* -1 (* z (+ (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y)))))) (* (sqrt (/ (cos y) z)) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow (sin y) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))))) (+ (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y)))))) (* (sqrt (/ (cos y) z)) (pow (sqrt -1) 2))))))
(* -1 (* z (+ (* -1/8 (* (/ (* (pow x 2) (pow (sin y) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))))) (+ (* 1/16 (* (/ (* (pow x 3) (pow (sin y) 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow z 7) (pow (cos y) 5)))))) (+ (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* (pow z 3) (cos y)))))) (* (sqrt (/ (cos y) z)) (pow (sqrt -1) 2)))))))
(sqrt (* z (cos y)))
(+ (sqrt (* z (cos y))) (* 1/2 (* (* x (sin y)) (sqrt (/ 1 (* z (cos y)))))))
(+ (sqrt (* z (cos y))) (* x (+ (* -1/8 (* (* x (pow (sin y) 2)) (sqrt (/ 1 (* (pow z 3) (pow (cos y) 3)))))) (* 1/2 (* (sqrt (/ 1 (* z (cos y)))) (sin y))))))
(+ (sqrt (* z (cos y))) (* x (+ (* 1/2 (* (sqrt (/ 1 (* z (cos y)))) (sin y))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow z 3) (pow (cos y) 3)))) (pow (sin y) 2))) (* 1/16 (* (* x (pow (sin y) 3)) (sqrt (/ 1 (* (pow z 5) (pow (cos y) 5)))))))))))
(sqrt (* x (sin y)))
(* x (+ (sqrt (/ (sin y) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y))))))
(* x (+ (sqrt (/ (sin y) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (* (pow z 2) (pow (cos y) 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))))))
(* x (+ (sqrt (/ (sin y) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (* (pow z 2) (pow (cos y) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (sin y) 5)))) (* (pow z 3) (pow (cos y) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y))))))))
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (sin y) 5)))) (/ (* (pow z 3) (pow (cos y) 3)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2)))))))
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)))))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(pow z 3)
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(* (pow x 3) (pow y 3))
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))
(* (pow x 3) (pow y 3))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))
(pow z 3)
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(* (pow x 3) (pow y 3))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(* (pow x 3) (pow y 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))
(pow z 3)
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* 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))

Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) y) (.f64 z #s(literal -1/2 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
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(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 z z) #s(literal -1 binary64))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (.f64 x (.f64 x x))))) (.f64 (.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (sin.f64 y) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (sin y) 3)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (sin y) 5)))) (/ (* (pow z 3) (pow (cos y) 3)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (sin y)))) (* z (cos y)))) (* (sqrt (/ (sin y) x)) (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (.f64 z (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (sin.f64 y) x)) (fma.f64 (.f64 z (cos.f64 y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (.f64 x (.f64 x x))))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64))))) (.f64 (.f64 (.f64 z (.f64 z z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64)))))))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) y) (.f64 z #s(literal -1/2 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(* 1/120 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/120 binary64))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 y (.f64 y (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(pow z 3)
(.f64 z (.f64 z z))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(fma.f64 x (.f64 x (.f64 y (.f64 x (.f64 y y)))) (.f64 z (.f64 z z)))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(fma.f64 x (.f64 x (.f64 y (.f64 x (.f64 y y)))) (.f64 z (.f64 z z)))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(fma.f64 x (.f64 x (.f64 y (.f64 x (.f64 y y)))) (.f64 z (.f64 z z)))
(* (pow x 3) (pow y 3))
(.f64 x (.f64 x (.f64 y (.f64 x (*.f64 y y)))))
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))
(.f64 (.f64 y (.f64 y y)) (fma.f64 z (/.f64 (.f64 z z) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))))
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))
(.f64 (.f64 y (.f64 y y)) (fma.f64 z (/.f64 (.f64 z z) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))))
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))
(.f64 (.f64 y (.f64 y y)) (fma.f64 z (/.f64 (.f64 z z) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))))
(* (pow x 3) (pow y 3))
(.f64 x (.f64 x (.f64 y (.f64 x (*.f64 y y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))
(neg.f64 (.f64 (.f64 y (.f64 (neg.f64 y) y)) (fma.f64 z (/.f64 (.f64 z z) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))
(neg.f64 (.f64 (.f64 y (.f64 (neg.f64 y) y)) (fma.f64 z (/.f64 (.f64 z z) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))
(neg.f64 (.f64 (.f64 y (.f64 (neg.f64 y) y)) (fma.f64 z (/.f64 (.f64 z z) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))))
(pow z 3)
(.f64 z (.f64 z z))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(fma.f64 x (.f64 x (.f64 y (.f64 x (.f64 y y)))) (.f64 z (.f64 z z)))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(fma.f64 x (.f64 x (.f64 y (.f64 x (.f64 y y)))) (.f64 z (.f64 z z)))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(fma.f64 x (.f64 x (.f64 y (.f64 x (.f64 y y)))) (.f64 z (.f64 z z)))
(* (pow x 3) (pow y 3))
(.f64 x (.f64 x (.f64 y (.f64 x (*.f64 y y)))))
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))))
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))))
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x)))))
(* (pow x 3) (pow y 3))
(.f64 x (.f64 x (.f64 y (.f64 x (*.f64 y y)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(neg.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(neg.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(neg.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) (fma.f64 y (.f64 y y) (/.f64 (.f64 z (.f64 z z)) (.f64 x (.f64 x x))))))
(* (pow x 3) (pow y 3))
(.f64 x (.f64 x (.f64 y (.f64 x (*.f64 y y)))))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(fma.f64 x (.f64 x (.f64 y (.f64 x (.f64 y y)))) (.f64 z (.f64 z z)))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(fma.f64 x (.f64 x (.f64 y (.f64 x (.f64 y y)))) (.f64 z (.f64 z z)))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(fma.f64 x (.f64 x (.f64 y (.f64 x (.f64 y y)))) (.f64 z (.f64 z z)))
(pow z 3)
(.f64 z (.f64 z z))
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))
(.f64 (.f64 z (.f64 z z)) (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (*.f64 z z))) #s(literal 1 binary64)))
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))
(.f64 (.f64 z (.f64 z z)) (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (*.f64 z z))) #s(literal 1 binary64)))
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))
(.f64 (.f64 z (.f64 z z)) (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (.f64 z (*.f64 z z))) #s(literal 1 binary64)))
(pow z 3)
(.f64 z (.f64 z z))
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(.f64 (fma.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) #s(literal -1 binary64)) (.f64 (*.f64 (neg.f64 z) z) z))
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(.f64 (fma.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) #s(literal -1 binary64)) (.f64 (*.f64 (neg.f64 z) z) z))
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(.f64 (fma.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) #s(literal -1 binary64)) (.f64 (*.f64 (neg.f64 z) z) z))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 y y)))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 #s(literal -1/5040 binary64) y) y) (.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))

rewrite471.0ms (3.9%)

Memory

-3.3MiB live, 395.1MiB allocated

Rules

6 974×	`lower-fma.f32`
6 962×	`lower-fma.f64`
4 078×	`lower-*.f32`
4 050×	`lower-*.f64`
3 954×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	306
0	80	252
1	284	203
2	1768	203
0	8488	194

Stop Event

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

Counts

22 → 674

Calls

Call 1

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

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

eval267.0ms (2.2%)

Memory: 9.5MiB live, 282.9MiB allocated
Compiler: Compiled 43 910 to 2 623 computations (94% saved)

prune335.0ms (2.8%)

Memory

-52.6MiB live, 530.7MiB allocated

Pruning

43 alts after pruning (38 fresh and 5 done)

	Pruned	Kept	Total
New	1 269	24	1 293
Fresh	13	14	27
Picked	3	2	5
Done	0	3	3
Total	1 285	43	1 328

Accuracy

100.0%

Counts

1 328 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.6%	(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 z z)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
	73.4%	(fma.f64 (/.f64 (.f64 (.f64 (cos.f64 y) z) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	55.2%	(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))) #s(literal 2 binary64))
	32.8%	(pow.f64 #s(approx (pow (+ (* (cos y) z) (* x (sin y))) 1/2) (sqrt.f64 (*.f64 z (cos.f64 y)))) #s(literal 2 binary64))
	47.7%	(/.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))
	55.4%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	51.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z))))
	60.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))
	35.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))))
	40.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z)))
▶	51.2%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) z))
	51.4%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) y) (.f64 z #s(literal -1/2 binary64))) x) z))
▶	92.0%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
	60.9%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (*.f64 z (cos.f64 y)))
▶	86.1%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
	51.1%	#s(approx (+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (/.f64 (.f64 (.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
	60.6%	#s(approx (+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	28.4%	#s(approx (+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
✓	52.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	13.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 y (.f64 (.f64 y y) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x))))))
	13.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y y) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))))))
	27.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x))))
▶	30.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (-.f64 (*.f64 y x) z)))
	16.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (.f64 (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (*.f64 y x)))) (fma.f64 y x z)))))
	5.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) #s(approx (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z))) (.f64 x (.f64 x (.f64 y (.f64 x (*.f64 y y)))))))))
▶	4.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))))
	33.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (fma.f64 x (/.f64 y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) z)))))
	10.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 x (.f64 y y)))) x))))
	15.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 x (.f64 x y)))) y))))
	39.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z))))
	15.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
	30.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
	15.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x))
✓	40.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
	14.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))))
	15.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) 1/120) -1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1 binary64))))))
	15.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
	42.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z))))) (*.f64 y (+.f64 x (/.f64 z y)))))
✓	15.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
	15.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 #s(literal -1/5040 binary64) y) y) (.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))))
	15.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))

Compiler

Compiled 1 752 to 937 computations (46.5% saved)

simplify253.0ms (2.1%)

Memory

32.4MiB live, 307.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (cos.f64 y) x)
cost-diff	0	(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
cost-diff	0	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
cost-diff	704	(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
cost-diff	0	#s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (*.f64 y y))))
cost-diff	0	(/.f64 #s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (*.f64 z z)))))
cost-diff	0	(fma.f64 y x z)
cost-diff	0	(.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (-.f64 (*.f64 y x) z)))
cost-diff	2048	(/.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (-.f64 (*.f64 y x) z))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x)
cost-diff	0	(fma.f64 y (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) z)
cost-diff	0	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) z))
cost-diff	0	(/.f64 (sin.f64 y) z)
cost-diff	0	(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
cost-diff	0	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
cost-diff	704	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))

Rules

9 174×	`lower-fma.f32`
9 162×	`lower-fma.f64`
3 430×	`lower-*.f32`
3 404×	`lower-*.f64`
2 440×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	431
0	89	414
1	166	369
2	302	351
3	570	351
4	1198	345
5	3406	345
6	7138	345
0	8432	332

Stop Event

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

Calls

Call 1

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

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

localize153.0ms (1.3%)

Memory

9.9MiB live, 281.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
accuracy	0.0625	(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
accuracy	0.0703125	(/.f64 (cos.f64 y) x)
accuracy	6.164111712185798	(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
accuracy	9.583833335505945	(fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))
accuracy	15.767143580236056	#s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (*.f64 y y))))
accuracy	16.595650130568483	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))))
accuracy	23.282716501324902	(/.f64 #s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))
accuracy	0	(*.f64 y x)
accuracy	0.053066259768442016	(.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z))
accuracy	16.595650130568483	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (-.f64 (*.f64 y x) z)))
accuracy	17.08872504740556	(/.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (-.f64 (*.f64 y x) z))
accuracy	0	(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x)
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.01953125	(fma.f64 y (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) z)
accuracy	17.123937006739236	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) z))
accuracy	0	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
accuracy	0.04296875	(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
accuracy	0.04296875	(/.f64 (sin.f64 y) z)
accuracy	2.935297944938727	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))

Samples

59.0ms	143×	0	valid
45.0ms	113×	0	invalid

Compiler

Compiled 330 to 51 computations (84.5% saved)

Precisions

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

ival-mult: 40.0ms (48.9% of total)

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

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

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

ival-cos: 6.0ms (7.3% of total)

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

ival-sqrt: 2.0ms (2.4% of total)

ival-pow2: 2.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series88.0ms (0.7%)

Memory

-34.2MiB live, 129.9MiB allocated

Counts

22 → 732

Calls

Call 1

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

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

Calls

183 calls:

Time	Variable		Point	Expression
19.0ms	y	@	0	(/ (sin y) z)
17.0ms	y	@	inf	(/ (sin y) z)
1.0ms	y	@	inf	(* x (+ (* z (/ (cos y) x)) (sin y)))
1.0ms	y	@	-inf	(* z (+ (* x (/ (sin y) z)) (cos y)))
1.0ms	y	@	inf	(* z (+ (* x (/ (sin y) z)) (cos y)))

simplify232.0ms (1.9%)

Memory

39.2MiB live, 429.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 896×	`lower-fma.f64`
9 896×	`lower-fma.f32`
4 744×	`lower-*.f64`
4 744×	`lower-*.f32`
2 306×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	666	6867
1	2267	6578
2	7836	6523
0	8248	6065

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 708

Calls

Call 1

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

rewrite348.0ms (2.9%)

Memory

-1.6MiB live, 477.9MiB allocated

Rules

6 628×	`lower-fma.f32`
6 616×	`lower-fma.f64`
4 970×	`lower-*.f32`
4 944×	`lower-*.f64`
4 222×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	365
0	89	347
1	340	280
2	2316	280
0	8871	271

Stop Event

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

Counts

22 → 656

Calls

Call 1

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

Outputs
(+.f64 (.f64 z (cos.f64 y)) (.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)))
(+.f64 (.f64 (/.f64 (sin.f64 y) z) (.f64 x z)) (*.f64 z (cos.f64 y)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) (.f64 x z)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (sin.f64 y) z) (.f64 x z)) (.f64 z (cos.f64 y)))) (/.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 (/.f64 (sin.f64 y) z) (.f64 x z)) (*.f64 z (cos.f64 y)))))
(fma.f64 z (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) (.f64 x z)))
(fma.f64 z (.f64 (sin.f64 y) (/.f64 x z)) (.f64 z (cos.f64 y)))
(fma.f64 x (.f64 (/.f64 (sin.f64 y) z) z) (.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) z) (.f64 x z) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (.f64 (/.f64 (sin.f64 y) z) (.f64 x z)))
(fma.f64 (.f64 (sin.f64 y) (/.f64 x z)) z (.f64 z (cos.f64 y)))
(fma.f64 (.f64 z x) (/.f64 (sin.f64 y) z) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 z (/.f64 (sin.f64 y) z)) x (.f64 z (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) (.f64 x z)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) (.f64 x z)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 (/.f64 (sin.f64 y) z) (.f64 x z)) (.f64 z (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) (.f64 x z)) #s(literal 2 binary64)) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 (/.f64 (sin.f64 y) z) (.f64 x z)) (.f64 z (cos.f64 y))))
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eval317.0ms (2.6%)

Memory: 16.9MiB live, 233.0MiB allocated
Compiler: Compiled 37 097 to 2 352 computations (93.7% saved)

prune629.0ms (5.2%)

Memory

-10.1MiB live, 485.2MiB allocated

Pruning

53 alts after pruning (46 fresh and 7 done)

	Pruned	Kept	Total
New	1 366	24	1 390
Fresh	11	22	33
Picked	3	2	5
Done	0	5	5
Total	1 380	53	1 433

Accuracy

100.0%

Counts

1 433 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.6%	(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 z z)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	32.8%	(pow.f64 #s(approx (pow (+ (* (cos y) z) (* x (sin y))) 1/2) (sqrt.f64 (*.f64 z (cos.f64 y)))) #s(literal 2 binary64))
	47.7%	(/.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))
	55.4%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	51.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z))))
	60.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))
	35.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))))
	40.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z)))
	83.6%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 (/.f64 (sin.f64 y) z) (.f64 x z) (.f64 z (cos.f64 y))))
✓	51.2%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) z))
	17.1%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64)))) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) z)))) z))
	38.6%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) z))) (-.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64))))) z))
	38.1%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y #s(approx (+ (* z (* -1/2 y)) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
	87.5%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (*.f64 z (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))))
	60.9%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (*.f64 z (cos.f64 y)))
	46.6%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
	32.6%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) (*.f64 x (/.f64 (sin.f64 y) z)))))
	40.6%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
✓	86.1%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
	33.6%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 z x))))
	47.2%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (*.f64 (cos.f64 y) (/.f64 z x)))))
	22.0%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) #s(approx (+ (* y (+ (* z (* -1/2 y)) x)) z) (.f64 (.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))))
	21.7%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) #s(approx (+ (* y (+ (* z (* -1/2 y)) x)) z) (.f64 (.f64 y y) (+.f64 (/.f64 x y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))))
	2.8%	#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) #s(approx (+ (* y (+ (* z (* -1/2 y)) x)) z) (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
	60.6%	#s(approx (+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	28.4%	#s(approx (+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
✓	52.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	13.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y y) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))))))
	21.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (-.f64 (.f64 x y) z)) (.f64 (-.f64 (.f64 x y) z) (-.f64 (*.f64 x y) z))))
	20.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 (.f64 z z) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 (neg.f64 y) y) z) #s(literal 0 binary64)) (neg.f64 z))))) (-.f64 (*.f64 y x) z)))
	21.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 z (neg.f64 z))) (-.f64 (.f64 y x) z)))
	9.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 y (fma.f64 x (.f64 x y) #s(literal 0 binary64)))) (-.f64 (*.f64 y x) z)))
	7.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (.f64 y x) z)))
	16.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (.f64 (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (*.f64 y x)))) (fma.f64 y x z)))))
	5.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (.f64 y y)))) #s(approx (+ ( (* y (* y y)) (* x (* x x))) (* z (* z z))) (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x)))))))))
	33.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (fma.f64 x (/.f64 y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) z)))))
	13.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (fma.f64 z (/.f64 z (.f64 x (.f64 y (.f64 y (.f64 x x))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 z (.f64 y (.f64 x x)))) y))))
	10.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 x (.f64 y y)))) x))))
	15.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 x (.f64 x y)))) y))))
	15.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
	30.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))))
	52.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))))
	15.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x))
✓	40.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
	14.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))))
	15.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) 1/120) -1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1 binary64))))))
	48.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (* (+ (* y x) z) (- (* y x) z)) (- (* y x) z)) (fma.f64 (neg.f64 (*.f64 y (/.f64 x z))) (neg.f64 z) z)))
	42.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (* (+ (* y x) z) (- (* y x) z)) (- (* y x) z)) (*.f64 y (+.f64 x (/.f64 z y)))))
✓	15.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
	15.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 #s(literal -1/5040 binary64) y) y) (.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))))
	15.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))

Compiler

Compiled 2 832 to 908 computations (67.9% saved)

regimes167.0ms (1.4%)

Memory

-46.1MiB live, 175.1MiB allocated

Counts

95 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) #s(approx (+ (* y (+ (* z (* -1/2 y)) x)) z) (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 z x))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y #s(approx (+ (* z (* -1/2 y)) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z))))) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (* (+ (* y x) z) (- (* y x) z)) (- (* y x) z)) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (* (+ (* y x) z) (- (* y x) z)) (- (* y x) z)) (fma.f64 (neg.f64 (*.f64 y (/.f64 x z))) (neg.f64 z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 z (neg.f64 z))) (-.f64 (.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) y) (.f64 z #s(literal -1/2 binary64))) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) 1/120) -1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 y (fma.f64 x (.f64 x y) #s(literal 0 binary64)))) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (-.f64 (*.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) #s(approx (+ (* y (+ (* z (* -1/2 y)) x)) z) (.f64 (.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (fma.f64 x (/.f64 y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) #s(approx (+ (* y (+ (* z (* -1/2 y)) x)) z) (.f64 (.f64 y y) (+.f64 (/.f64 x y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 #s(literal -1/5040 binary64) y) y) (.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 y y)) #s(literal -1/5040 binary64) (.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 x (.f64 x y)))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 x (.f64 y y)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (.f64 y y)))) #s(approx (+ ( (* y (* y y)) (* x (* x x))) (* z (* z z))) (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x)))))))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) z))) (-.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64))))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (-.f64 (.f64 x y) z)) (.f64 (-.f64 (.f64 x y) z) (-.f64 (*.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 (.f64 z z) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 (neg.f64 y) y) z) #s(literal 0 binary64)) (neg.f64 z))))) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) #s(approx (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z))) (.f64 x (.f64 x (.f64 y (.f64 x (*.f64 y y)))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 y (.f64 (.f64 y y) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (.f64 y x) z) (.f64 z z))) (.f64 (-.f64 (.f64 y x) z) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (.f64 (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (*.f64 y x)))) (fma.f64 y x z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (fma.f64 z (/.f64 z (.f64 x (.f64 y (.f64 y (.f64 x x))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 z (.f64 y (.f64 x x)))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y y) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64)))) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) z)))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (cos.f64 y)))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (*.f64 z (cos.f64 y)))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (*.f64 (cos.f64 y) (/.f64 z x)))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) (*.f64 x (/.f64 (sin.f64 y) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(pow.f64 #s(approx (pow (+ (* (cos y) z) (* x (sin y))) 1/2) (sqrt.f64 (*.f64 z (cos.f64 y)))) #s(literal 2 binary64))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (*.f64 z (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))))
#s(approx (+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 (/.f64 (sin.f64 y) z) (.f64 x z) (.f64 z (cos.f64 y))))
#s(approx (+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
#s(approx (+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
#s(approx (+ (* (* x (- 1/2 (* 1/2 (cos (+ y y))))) (/ x (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (sin.f64 y)) (/.f64 (.f64 (.f64 z (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 z z)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (/.f64 (.f64 (.f64 (cos.f64 y) z) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
(/.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 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))
(.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) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))))

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

Calls

4 calls:

53.0ms	y
29.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
27.0ms	z
24.0ms	x

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)

regimes78.0ms (0.6%)

Memory

19.8MiB live, 133.9MiB allocated

Counts

66 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) #s(approx (+ (* y (+ (* z (* -1/2 y)) x)) z) (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 z x))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y #s(approx (+ (* z (* -1/2 y)) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z))))) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (* (+ (* y x) z) (- (* y x) z)) (- (* y x) z)) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (* (+ (* y x) z) (- (* y x) z)) (- (* y x) z)) (fma.f64 (neg.f64 (*.f64 y (/.f64 x z))) (neg.f64 z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 z (neg.f64 z))) (-.f64 (.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) y) (.f64 z #s(literal -1/2 binary64))) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) 1/120) -1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 y (fma.f64 x (.f64 x y) #s(literal 0 binary64)))) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (-.f64 (*.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) #s(approx (+ (* y (+ (* z (* -1/2 y)) x)) z) (.f64 (.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (fma.f64 x (/.f64 y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) #s(approx (+ (* y (+ (* z (* -1/2 y)) x)) z) (.f64 (.f64 y y) (+.f64 (/.f64 x y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 #s(literal -1/5040 binary64) y) y) (.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 y y)) #s(literal -1/5040 binary64) (.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 x (.f64 x y)))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 x (.f64 y y)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (.f64 y y)))) #s(approx (+ ( (* y (* y y)) (* x (* x x))) (* z (* z z))) (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x)))))))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) z))) (-.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64))))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (-.f64 (.f64 x y) z)) (.f64 (-.f64 (.f64 x y) z) (-.f64 (*.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 (.f64 z z) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 (neg.f64 y) y) z) #s(literal 0 binary64)) (neg.f64 z))))) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) #s(approx (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z))) (.f64 x (.f64 x (.f64 y (.f64 x (*.f64 y y)))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 y (.f64 (.f64 y y) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (.f64 y x) z) (.f64 z z))) (.f64 (-.f64 (.f64 y x) z) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (.f64 (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (*.f64 y x)))) (fma.f64 y x z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (fma.f64 z (/.f64 z (.f64 x (.f64 y (.f64 y (.f64 x x))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 z (.f64 y (.f64 x x)))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y y) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64)))) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) z)))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (*.f64 z (cos.f64 y)))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (*.f64 z (cos.f64 y)))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (*.f64 (cos.f64 y) (/.f64 z x)))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) (*.f64 x (/.f64 (sin.f64 y) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (*.f64 z (cos.f64 y)))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
74.7%	3	`x`
77.9%	4	`y`
77.9%	3	`z`
65.8%	4	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes42.0ms (0.3%)

Memory

-12.6MiB live, 66.2MiB allocated

Counts

60 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) #s(approx (+ (* y (+ (* z (* -1/2 y)) x)) z) (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 z x))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y #s(approx (+ (* z (* -1/2 y)) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z))))) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (* (+ (* y x) z) (- (* y x) z)) (- (* y x) z)) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (* (+ (* y x) z) (- (* y x) z)) (- (* y x) z)) (fma.f64 (neg.f64 (*.f64 y (/.f64 x z))) (neg.f64 z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 z (neg.f64 z))) (-.f64 (.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) y) (.f64 z #s(literal -1/2 binary64))) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) 1/120) -1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 y (fma.f64 x (.f64 x y) #s(literal 0 binary64)))) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (-.f64 (*.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) #s(approx (+ (* y (+ (* z (* -1/2 y)) x)) z) (.f64 (.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (fma.f64 x (/.f64 y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) #s(approx (+ (* y (+ (* z (* -1/2 y)) x)) z) (.f64 (.f64 y y) (+.f64 (/.f64 x y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 #s(literal -1/5040 binary64) y) y) (.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 y y)) #s(literal -1/5040 binary64) (.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 x (.f64 x y)))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 x (.f64 y y)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (.f64 y y)))) #s(approx (+ ( (* y (* y y)) (* x (* x x))) (* z (* z z))) (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x)))))))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) z))) (-.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64))))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (-.f64 (.f64 x y) z)) (.f64 (-.f64 (.f64 x y) z) (-.f64 (*.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 (.f64 z z) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 (neg.f64 y) y) z) #s(literal 0 binary64)) (neg.f64 z))))) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) #s(approx (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z))) (.f64 x (.f64 x (.f64 y (.f64 x (*.f64 y y)))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 y (.f64 (.f64 y y) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (.f64 y x) z) (.f64 z z))) (.f64 (-.f64 (.f64 y x) z) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (.f64 (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (*.f64 y x)))) (fma.f64 y x z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (fma.f64 z (/.f64 z (.f64 x (.f64 y (.f64 y (.f64 x x))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 z (.f64 y (.f64 x x)))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y y) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64)))) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) z)))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))

Outputs

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

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

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

Calls

2 calls:

20.0ms	z
16.0ms	y

Results

Accuracy	Segments	Branch
76.3%	3	`y`
62.6%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes71.0ms (0.6%)

Memory

14.3MiB live, 135.6MiB allocated

Counts

59 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) #s(approx (+ (* y (+ (* z (* -1/2 y)) x)) z) (.f64 z (.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 z x))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y #s(approx (+ (* z (* -1/2 y)) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z))))) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (* (+ (* y x) z) (- (* y x) z)) (- (* y x) z)) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (/ (* (+ (* y x) z) (- (* y x) z)) (- (* y x) z)) (fma.f64 (neg.f64 (*.f64 y (/.f64 x z))) (neg.f64 z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 z (neg.f64 z))) (-.f64 (.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z))
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (* x (sin y))))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64)))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) y) (.f64 z #s(literal -1/2 binary64))) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) 1/120) -1/6) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 y (fma.f64 x (.f64 x y) #s(literal 0 binary64)))) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (-.f64 (*.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (* x (sin y))) (fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)) z))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) #s(approx (+ (* y (+ (* z (* -1/2 y)) x)) z) (.f64 (.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (+.f64 x (/.f64 z y)) y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 y x z) (-.f64 (.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)) (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (fma.f64 x (/.f64 y (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) z)))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) #s(approx (+ (* y (+ (* z (* -1/2 y)) x)) z) (.f64 (.f64 y y) (+.f64 (/.f64 x y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (* x (sin y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 #s(literal -1/5040 binary64) y) y) (.f64 x #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 y y)) #s(literal -1/5040 binary64) (.f64 x #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (.f64 x (.f64 x y)))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (.f64 x (.f64 y y)))) x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (.f64 y y)))) #s(approx (+ ( (* y (* y y)) (* x (* x x))) (* z (* z z))) (.f64 x (.f64 y (.f64 y (.f64 y (*.f64 x x)))))))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) z))) (-.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64))))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (-.f64 (.f64 x y) z)) (.f64 (-.f64 (.f64 x y) z) (-.f64 (*.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z (- z (* y x))) (* y (* x (* y x)))) (.f64 x (.f64 x (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (*.f64 z z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(approx (* (+ (* y x) z) (- (* y x) z)) (.f64 (.f64 z z) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 (neg.f64 y) y) z) #s(literal 0 binary64)) (neg.f64 z))))) (-.f64 (*.f64 y x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) #s(approx (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z))) (.f64 x (.f64 x (.f64 y (.f64 x (*.f64 y y)))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 y (.f64 (.f64 y y) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (.f64 y x) z) (.f64 z z))) (.f64 (-.f64 (.f64 y x) z) (-.f64 (*.f64 y x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 y x)) (.f64 y (.f64 x (.f64 y x)))) (.f64 (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (*.f64 y x)))) (fma.f64 y x z)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z (- z (* y x))) (* y (* x (* y x)))) (+ (* (* y (* y y)) (* x (* x x))) (* z (* z z)))) (/.f64 (-.f64 (fma.f64 z (/.f64 z (.f64 x (.f64 y (.f64 y (.f64 x x))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 z (.f64 y (.f64 x x)))) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x #s(approx (sin y) (.f64 y (fma.f64 (.f64 y y) (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 y y)) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64))))) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y y) (.f64 x (.f64 x x))) (.f64 z (.f64 z z))))))
#s(approx (pow (pow (+ (* (cos y) z) (* x (sin y))) 1/2) 2) (fma.f64 y (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)))) (fma.f64 x (-.f64 x (.f64 z (.f64 y #s(literal -1/2 binary64)))) (.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) z)))) z))

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

Calls

4 calls:

18.0ms	z
17.0ms	x
17.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
16.0ms	y

Results

Accuracy	Segments	Branch
52.7%	1	`z`
52.7%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
52.7%	1	`x`
52.7%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
44.0%	2	`x`
40.6%	1	`z`
40.6%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
40.6%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes20.0ms (0.2%)

Memory

-24.6MiB live, 14.1MiB 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 (+ (* y x) z) (*.f64 x y)))

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

Calls

4 calls:

16.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
15.7%	1	`y`
15.7%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
15.7%	1	`z`
15.7%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch59.0ms (0.5%)

Memory

26.0MiB live, 64.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	42.62539699722089	56421.33769700205
20.0ms	-1.7994752298117412e-6	-1.3909659250479166e-17

Samples

25.0ms

288×

valid

Compiler

Compiled 339 to 230 computations (32.2% saved)

Precisions

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

ival-sin: 7.0ms (39.3% of total)

ival-cos: 6.0ms (33.7% of total)

ival-mult: 4.0ms (22.5% of total)

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

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

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

bsearch41.0ms (0.3%)

Memory

-28.4MiB live, 88.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.003286720030708855	6.3429254231137016
24.0ms	-32180116774091.9	-0.7092721015647989

Samples

22.0ms

288×

valid

Compiler

Compiled 519 to 320 computations (38.3% saved)

Precisions

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

ival-sin: 5.0ms (33.9% of total)

ival-cos: 4.0ms (27.2% of total)

ival-mult: 4.0ms (27.2% of total)

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

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

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

bsearch18.0ms (0.1%)

Memory

0.8MiB live, 39.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-7.852773447779082e+180	-2.2003744466731432e+179

Samples

10.0ms

112×

valid

Compiler

Compiled 141 to 91 computations (35.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sin: 3.0ms (43.8% of total)

ival-cos: 2.0ms (29.2% of total)

ival-mult: 1.0ms (14.6% of total)

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

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

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

simplify8.0ms (0.1%)

Memory

24.2MiB live, 24.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	201
1	66	201

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -4410161389954167/77371252455336267181195264 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 45 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -3242591731706757/4503599627370496 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 5332261958806667/72057594037927936 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal -650000000000000052080432169051869948947951040781859535165587394023340551662014016595712516693662226315429845782664020158591093643295751362695663589415701978702159682368505968066560 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) #s(approx (pow (pow (+ ( (cos y) z) (* x (sin y))) 1/2) 2) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -4410161389954167/77371252455336267181195264 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 45 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -4410161389954167/77371252455336267181195264 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 45 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -3242591731706757/4503599627370496 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 5332261958806667/72057594037927936 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y x) #s(literal -1/6 binary64))) x) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal -650000000000000052080432169051869948947951040781859535165587394023340551662014016595712516693662226315429845782664020158591093643295751362695663589415701978702159682368505968066560 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) #s(approx (pow (pow (+ ( (cos y) z) (* x (sin y))) 1/2) 2) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -650000000000000052080432169051869948947951040781859535165587394023340551662014016595712516693662226315429845782664020158591093643295751362695663589415701978702159682368505968066560 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 y x))) #s(approx (pow (pow (+ ( (cos y) z) (* x (sin y))) 1/2) 2) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))

soundness1.2s (10.1%)

Memory

4.5MiB live, 882.4MiB allocated

Rules

12 858×	`lower-fma.f64`
12 858×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
11 220×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	185
0	59	142
1	221	124
2	1583	124
0	9580	124
0	893	8397
1	3210	8131
0	8133	7701
0	744	6428
1	2433	6075
0	8468	5707
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8391	20
0	109	682
1	344	678
2	991	668
3	2652	662
4	4669	662
5	6964	662
0	8196	606
0	666	6867
1	2267	6578
2	7836	6523
0	8248	6065

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

Compiler

Compiled 235 to 115 computations (51.1% saved)

preprocess44.0ms (0.4%)

Memory: -14.9MiB live, 98.6MiB allocated
Compiler: Compiled 206 to 82 computations (60.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (14.5%)

explain134.0ms (1.1%)

preprocess51.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize39.0ms (0.3%)

series9.0ms (0.1%)

simplify248.0ms (2%)

rewrite494.0ms (4.1%)

eval57.0ms (0.5%)

prune45.0ms (0.4%)

simplify273.0ms (2.2%)

localize455.0ms (3.7%)

series66.0ms (0.5%)

simplify327.0ms (2.7%)

rewrite1.1s (9.3%)

eval802.0ms (6.6%)

prune490.0ms (4%)

simplify215.0ms (1.8%)

localize164.0ms (1.3%)

series60.0ms (0.5%)

simplify474.0ms (3.9%)

rewrite471.0ms (3.9%)

eval267.0ms (2.2%)

prune335.0ms (2.8%)

simplify253.0ms (2.1%)

localize153.0ms (1.3%)

series88.0ms (0.7%)

simplify232.0ms (1.9%)

rewrite348.0ms (2.9%)

eval317.0ms (2.6%)

prune629.0ms (5.2%)

regimes167.0ms (1.4%)

regimes78.0ms (0.6%)

regimes42.0ms (0.3%)

regimes71.0ms (0.6%)

regimes7.0ms (0.1%)

regimes20.0ms (0.2%)

bsearch59.0ms (0.5%)

bsearch41.0ms (0.3%)

bsearch18.0ms (0.1%)

simplify8.0ms (0.1%)

soundness1.2s (10.1%)

preprocess44.0ms (0.4%)

end0.0ms (0%)

Profiling