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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample2.1s (17.2%)

Memory

17.3MiB live, 1 275.4MiB allocated

Samples

1.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-cos: 602.0ms (48.8% of total)

ival-sin: 426.0ms (34.5% of total)

ival-mult: 119.0ms (9.6% of total)

ival-add: 78.0ms (6.3% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess45.0ms (0.4%)

Memory

17.8MiB live, 56.6MiB 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)))

explain164.0ms (1.3%)

Memory

4.3MiB live, 160.0MiB 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

53.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-cos: 14.0ms (40% of total)

ival-sin: 11.0ms (31.5% of total)

ival-mult: 7.0ms (20% of total)

ival-add: 2.0ms (5.7% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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)

localize40.0ms (0.3%)

Memory

-13.2MiB live, 58.8MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

27.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-sin: 9.0ms (46.9% of total)

ival-cos: 5.0ms (26.1% of total)

ival-mult: 4.0ms (20.8% of total)

ival-add: 2.0ms (10.4% of total)

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

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

series9.0ms (0.1%)

Memory

19.0MiB live, 18.9MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

simplify365.0ms (3%)

Memory

-22.2MiB live, 519.6MiB 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 x (.f64 y 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)) 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 (.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 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)

rewrite423.0ms (3.4%)

Memory

-12.7MiB live, 700.4MiB allocated

Algorithm

1×	batch-egg-rewrite

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)

eval31.0ms (0.2%)

Memory: 27.6MiB live, 65.6MiB allocated
Compiler: Compiled 10 212 to 557 computations (94.5% saved)

prune72.0ms (0.6%)

Memory

-14.2MiB live, 121.0MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	266	16	282
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	267	16	283

Accuracy

99.9%

Counts

283 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.9%	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (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)))))))
▶	50.1%	(fma.f64 (.f64 x (.f64 x (sin.f64 y))) (/.f64 (sin.f64 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)))))))
▶	99.8%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
	57.0%	(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)))))))
	42.2%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.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))))))))
	34.8%	(/.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 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
▶	43.1%	(/.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))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
	76.7%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	56.7%	(+.f64 #s(approx (* x (sin y)) (.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))) (*.f64 z (cos.f64 y)))
	40.2%	(.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))))))))
	52.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
	53.2%	#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))
▶	53.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
▶	64.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
	36.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))

Compiler

Compiled 1 036 to 452 computations (56.4% saved)

simplify518.0ms (4.2%)

Memory

8.2MiB live, 358.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x (sin.f64 y)))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x (sin.f64 y))) (/.f64 (sin.f64 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)))))))
✓	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	0	(/.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))))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	6400	(-.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))))))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.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	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))

Rules

11 956×	`lower-fma.f32`
11 950×	`lower-fma.f64`
3 484×	`lower-*.f32`
3 466×	`lower-*.f64`
1 576×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	373
0	64	371
1	131	369
2	319	369
3	928	369
4	2568	365
5	6563	365
0	8206	353

Stop Event

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

Calls

Call 1

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

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

localize233.0ms (1.9%)

Memory

2.9MiB live, 364.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (sin.f64 y) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
✓	accuracy	99.5%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	77.8%	(fma.f64 (.f64 x (.f64 x (sin.f64 y))) (/.f64 (sin.f64 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)))))))
✓	accuracy	66.1%	(/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
✓	accuracy	97.0%	(-.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))))))
✓	accuracy	86.3%	(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓	accuracy	77.4%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	53.7%	(/.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))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	64.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
✓	accuracy	100.0%	(fma.f64 y x z)
✓	accuracy	53.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))

Samples

54.0ms	128×	0	valid
49.0ms	58×	2	valid
46.0ms	70×	1	valid

Compiler

Compiled 368 to 35 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-cos: 27.0ms (26.6% of total)

ival-mult: 25.0ms (24.6% of total)

adjust: 13.0ms (12.8% of total)

ival-sin: 10.0ms (9.8% of total)

ival-add: 9.0ms (8.9% of total)

ival-sub: 7.0ms (6.9% of total)

ival-div: 7.0ms (6.9% of total)

ival-neg: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series143.0ms (1.2%)

Memory

-3.8MiB live, 109.2MiB allocated

Counts

17 → 480

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
26.0ms	z	@	0	(- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))))
24.0ms	y	@	0	(+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y)))))))
8.0ms	z	@	inf	(/ (sin y) (- (* x (sin y)) (* z (cos y))))
3.0ms	y	@	0	(/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y))))
2.0ms	z	@	inf	(neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))

simplify482.0ms (3.9%)

Memory

20.5MiB live, 698.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 982×	`lower-*.f64`
6 982×	`lower-*.f32`
6 962×	`lower-fma.f64`
6 962×	`lower-fma.f32`
3 464×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1108	10214
1	3995	10047
0	8570	9500

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 468

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

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

rewrite762.0ms (6.2%)

Memory

10.2MiB live, 1 332.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 790×	`lower-*.f32`
4 772×	`lower-*.f64`
4 468×	`lower-/.f32`
4 462×	`lower-/.f64`
3 778×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	232
0	64	169
1	255	137
2	2050	137
0	8561	137

Stop Event

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

Counts

17 → 1 848

Calls

Call 1

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

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

eval642.0ms (5.2%)

Memory: 34.9MiB live, 698.9MiB allocated
Compiler: Compiled 159 936 to 3 977 computations (97.5% saved)

prune357.0ms (2.9%)

Memory

-31.5MiB live, 553.6MiB allocated

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	2 546	26	2 572
Fresh	10	1	11
Picked	2	3	5
Done	0	0	0
Total	2 558	30	2 588

Accuracy

100.0%

Counts

2 588 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.8%	(fma.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) z) (/.f64 z (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (/.f64 (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
	76.7%	(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	43.3%	(/.f64 (-.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.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))))
	34.5%	(/.f64 #s(approx (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.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 (sin.f64 y) x (*.f64 z (cos.f64 y)))))
	56.7%	(+.f64 #s(approx (* x (sin y)) (.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))) (*.f64 z (cos.f64 y)))
▶	64.4%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	25.7%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin 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)))
	25.7%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
	45.3%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 x (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (.f64 (.f64 z (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))))
	45.3%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (neg.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (fma.f64 z (/.f64 (.f64 (cos.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))))))
	64.3%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* 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)))))
	89.4%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
▶	36.7%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (sin.f64 y)))
	53.2%	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 z #s(literal -1/2 binary64))) x) z))
	52.8%	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
	89.9%	#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
✓	53.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	28.7%	#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)))
	28.6%	#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))))
✓	64.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
	41.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	41.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	41.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))))
	42.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
▶	51.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (/.f64 (*.f64 x y) z) z)))
	37.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
	46.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
▶	14.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

Compiler

Compiled 1 053 to 600 computations (43% saved)

simplify304.0ms (2.5%)

Memory

-2.8MiB live, 435.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.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))
✓	cost-diff	0	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (sin.f64 y)))
✓	cost-diff	0	(/.f64 (*.f64 x y) z)
✓	cost-diff	0	#s(approx (+ (* y x) z) (fma.f64 z (/.f64 (*.f64 x y) z) z))
✓	cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (/.f64 (*.f64 x y) z) z)))
✓	cost-diff	1024	(fma.f64 z (/.f64 (*.f64 x y) z) z)
✓	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	(sin.f64 y)
✓	cost-diff	0	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))))

Rules

9 668×	`lower-fma.f32`
9 662×	`lower-fma.f64`
3 566×	`lower-*.f32`
3 556×	`lower-*.f64`
1 416×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	277
0	74	267
1	165	267
2	390	267
3	1048	261
4	2733	259
5	5902	259
0	8076	248

Stop Event

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

Calls

Call 1

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

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

localize238.0ms (1.9%)

Memory

8.2MiB live, 387.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(/.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))
✓	accuracy	99.5%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	64.7%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	36.8%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (sin.f64 y)))
✓	accuracy	100.0%	#s(approx (+ (* y x) z) (fma.f64 z (/.f64 (*.f64 x y) z) z))
✓	accuracy	93.3%	(fma.f64 z (/.f64 (*.f64 x y) z) z)
✓	accuracy	91.8%	(/.f64 (*.f64 x y) z)
✓	accuracy	53.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (/.f64 (*.f64 x y) z) z)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	53.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
✓	accuracy	49.8%	#s(approx (+ (* y x) z) (*.f64 x y))
✓	accuracy	99.9%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))))

Samples

118.0ms	204×	0	valid
65.0ms	52×	1	valid

Compiler

Compiled 230 to 49 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-add: 41.0ms (25.3% of total)

ival-mult: 37.0ms (22.8% of total)

ival-neg: 26.0ms (16.1% of total)

ival-cos: 24.0ms (14.8% of total)

ival-div: 15.0ms (9.3% of total)

ival-sin: 8.0ms (4.9% of total)

ival-sub: 5.0ms (3.1% of total)

adjust: 5.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.5%)

Memory

3.3MiB live, 89.9MiB allocated

Counts

18 → 540

Calls

Call 1

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

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

Calls

135 calls:

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

simplify581.0ms (4.7%)

Memory

-122.3MiB live, 802.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 834×	`lower-fma.f64`
8 834×	`lower-fma.f32`
6 688×	`lower-*.f64`
6 688×	`lower-*.f32`
3 920×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	788	7752
1	2800	7532
0	8116	7077

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 518

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)))))
(/ 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))
(/ 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))
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 (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)))
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(+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* x (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (/ (* x (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))
(* x (+ (* -1 (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))))
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow x 3) (sin y))))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))
(* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))
(* -1 (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
z
(+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
z
(+ z (* -1 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 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))

Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #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 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)))
(* 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)))
(* 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 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)))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(-.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (/.f64 y (.f64 z z))))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 x x) (.f64 z (.f64 z z)))) (neg.f64 (/.f64 x (.f64 z z)))) (/.f64 #s(literal 1 binary64) z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 y (fma.f64 y (fma.f64 (fma.f64 (/.f64 x (.f64 z z)) #s(literal 1/3 binary64) (/.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 x x) (.f64 z (.f64 z z))))) z)) (neg.f64 y) (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 x x) (.f64 z (.f64 z z))))) (neg.f64 (/.f64 x (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (* z (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 z (cos.f64 y))) (/.f64 (.f64 x (sin.f64 y)) (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(fma.f64 x (-.f64 (/.f64 (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (.f64 z (.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (sin.f64 y) (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 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))))
(fma.f64 x (fma.f64 x (fma.f64 (neg.f64 x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z (.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (sin.f64 y) (.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (.f64 z (cos.f64 y)) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/.f64 (-.f64 (fma.f64 (.f64 z z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 (.f64 z (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (.f64 (.f64 z (.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))) (-.f64 (/.f64 (.f64 z (cos.f64 y)) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))) x)
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(/.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))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (.f64 x (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x)) (/.f64 (*.f64 z (cos.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y))) (/.f64 (.f64 z (cos.f64 y)) (.f64 (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(fma.f64 z (-.f64 (/.f64 (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 x (.f64 x x)))) (/.f64 (cos.f64 y) (.f64 (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 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))))
(fma.f64 z (-.f64 (.f64 z (fma.f64 (neg.f64 z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (.f64 x (.f64 x x)))))) (/.f64 (cos.f64 y) (.f64 (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y))))
(/ 1 (* z (cos y)))
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(.f64 (neg.f64 x) (fma.f64 z (/.f64 (.f64 (cos.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y))))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(.f64 (neg.f64 x) (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (.f64 z z)) (sin.f64 y)) (/.f64 (.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (/.f64 (.f64 (.f64 z (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y))))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))
(neg.f64 (.f64 x (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 z (/.f64 (.f64 (cos.f64 y) (fma.f64 (.f64 z z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (.f64 x (sin.f64 y))) (fma.f64 (.f64 z z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 x)) (/.f64 (.f64 (.f64 z (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (sin.f64 y)))))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
z
(+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))
(fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) z)
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (fma.f64 z #s(literal -1/720 binary64) (.f64 #s(literal -1/48 binary64) z)))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z)))) (.f64 z #s(literal -1/2 binary64))) z)
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (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))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
z
(+ z (* -1 (* (pow y 2) z)))
(-.f64 z (.f64 z (.f64 y y)))
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))
(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64))) z)
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) (neg.f64 z)) z)
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* z (+ 1/2 (* 1/2 (cos (* -2 y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* 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 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (.f64 y y) (.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 z (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64))) (*.f64 z #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))

rewrite544.0ms (4.4%)

Memory

28.8MiB live, 975.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 566×	`lower-*.f32`
5 556×	`lower-*.f64`
4 248×	`lower-fma.f32`
4 242×	`lower-fma.f64`
4 130×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	246
0	74	239
1	339	178
2	2606	175
0	9206	168

Stop Event

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

Counts

18 → 1 198

Calls

Call 1

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

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

eval353.0ms (2.9%)

Memory: 9.6MiB live, 400.8MiB allocated
Compiler: Compiled 92 200 to 3 697 computations (96% saved)

prune403.0ms (3.3%)

Memory

-4.7MiB live, 640.3MiB allocated

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	1 732	22	1 754
Fresh	9	13	22
Picked	2	3	5
Done	0	3	3
Total	1 743	41	1 784

Accuracy

100.0%

Counts

1 784 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
	76.7%	(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	43.3%	(/.f64 (-.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.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))))
	34.5%	(/.f64 #s(approx (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
▶	52.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
	36.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y)))))
	64.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z)))
	42.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (/.f64 #s(literal 1 binary64) z)))
	37.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (/.f64 y (.f64 z z))))))
	64.4%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (cos.f64 (.f64 y #s(literal -2 binary64))) (*.f64 z #s(literal 1/2 binary64))) (cos.f64 y)))
✓	64.4%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	25.7%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin 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)))
	64.4%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) z))
	89.5%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 z (fma.f64 x (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)))))
	25.7%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
	45.3%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (neg.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (fma.f64 z (/.f64 (.f64 (cos.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))))))
	41.5%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (fma.f64 z #s(literal -1/720 binary64) (.f64 #s(literal -1/48 binary64) z)))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z)))) (.f64 z #s(literal -1/2 binary64))) z)))
	41.3%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) z)))
	52.8%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
▶	89.9%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
▶	89.4%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
✓	36.7%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (sin.f64 y)))
	14.6%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))))
	14.4%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y))))
	14.5%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* 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))))
	14.6%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* 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 x #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y)))) (*.f64 x #s(literal -1/6 binary64))) x))))
	14.4%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/120 binary64) (.f64 x (.f64 y y)) (*.f64 x #s(literal -1/6 binary64))) x))))
	14.5%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (sin y)) (.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)) x))))
✓	53.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	28.7%	#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)))
	28.6%	#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))))
✓	64.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
	41.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	41.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
▶	42.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	48.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (.f64 z (.f64 y x)) (/.f64 #s(literal 1 binary64) z) z)))
▶	51.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 (/.f64 y z) x) z)))
	48.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 y (/.f64 x z)) z)))
	37.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
	46.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
✓	14.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

Compiler

Compiled 1 417 to 784 computations (44.7% saved)

simplify320.0ms (2.6%)

Memory

7.6MiB live, 519.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	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 (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (*.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	(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
✓	cost-diff	0	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
✓	cost-diff	0	(*.f64 (/.f64 y z) x)
✓	cost-diff	0	#s(approx (+ (* y x) z) (fma.f64 z (*.f64 (/.f64 y z) x) z))
✓	cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 (/.f64 y z) x) z)))
✓	cost-diff	1024	(fma.f64 z (*.f64 (/.f64 y z) x) z)
✓	cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
✓	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 (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (*.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

9 986×	`lower-fma.f32`
9 976×	`lower-fma.f64`
6 230×	`lower-*.f32`
6 220×	`lower-*.f64`
2 888×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	277
0	64	260
1	116	260
2	194	260
3	291	252
4	337	252
5	849	252
6	1832	252
7	2086	252
8	2191	252
9	2282	252
10	2382	252
11	2476	252
12	5646	252
13	6619	252
0	8158	236

Stop Event

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

Calls

Call 1

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

localize157.0ms (1.3%)

Memory

-8.0MiB live, 261.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
✓	accuracy	99.8%	(/.f64 (cos.f64 y) x)
✓	accuracy	99.8%	(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
✓	accuracy	89.5%	(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
✓	accuracy	52.8%	#s(approx (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
✓	accuracy	100.0%	#s(approx (+ (* y x) z) (fma.f64 z (*.f64 (/.f64 y z) x) z))
✓	accuracy	93.3%	(fma.f64 z (*.f64 (/.f64 y z) x) z)
✓	accuracy	90.0%	(*.f64 (/.f64 y z) x)
✓	accuracy	53.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 (/.f64 y z) x) z)))
✓	accuracy	99.8%	(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
✓	accuracy	64.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
✓	accuracy	56.3%	#s(approx (cos y) #s(literal 1 binary64))
✓	accuracy	100.0%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
✓	accuracy	99.9%	(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
✓	accuracy	99.8%	(/.f64 (sin.f64 y) z)
✓	accuracy	89.9%	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))

Samples

113.0ms

256×

valid

Compiler

Compiled 200 to 35 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 22.0ms (39% of total)

ival-cos: 10.0ms (17.7% of total)

ival-add: 9.0ms (16% of total)

ival-div: 8.0ms (14.2% of total)

ival-sin: 7.0ms (12.4% of total)

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

exact: 0.0ms (0% of total)

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

series45.0ms (0.4%)

Memory

14.5MiB live, 90.5MiB allocated

Counts

19 → 624

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

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

Calls

156 calls:

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

simplify360.0ms (2.9%)

Memory

5.5MiB live, 654.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 820×	`lower-fma.f64`
10 820×	`lower-fma.f32`
5 972×	`lower-*.f64`
5 972×	`lower-*.f32`
3 028×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	377	5587
1	1241	5536
2	4150	5464
0	8159	5043

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 606

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

rewrite391.0ms (3.2%)

Memory

-22.3MiB live, 621.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 008×	`lower-fma.f32`
5 998×	`lower-fma.f64`
4 052×	`lower-/.f32`
4 042×	`lower-/.f64`
3 968×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	241
0	64	229
1	254	229
2	1573	229
0	8161	220

Stop Event

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

Counts

19 → 418

Calls

Call 1

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

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

eval136.0ms (1.1%)

Memory: -1.2MiB live, 238.6MiB allocated
Compiler: Compiled 19 347 to 1 510 computations (92.2% saved)

prune361.0ms (2.9%)

Memory

13.9MiB live, 297.5MiB allocated

Pruning

47 alts after pruning (37 fresh and 10 done)

	Pruned	Kept	Total
New	1 005	19	1 024
Fresh	12	18	30
Picked	1	4	5
Done	0	6	6
Total	1 018	47	1 065

Accuracy

100.0%

Counts

1 065 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
	76.7%	(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	36.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y)))))
	3.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (* z -1/2)) x)) z) (.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))))))
	14.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (* z -1/2)) x)) z) (*.f64 x y)))))
	37.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z))))
	42.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (/.f64 #s(literal 1 binary64) z)))
✓	64.4%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	25.7%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
	41.5%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (fma.f64 z #s(literal -1/720 binary64) (.f64 #s(literal -1/48 binary64) z)))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z)))) (.f64 z #s(literal -1/2 binary64))) z)))
	41.3%	#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) z)))
	80.7%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (fma.f64 (/.f64 (cos.f64 y) x) (.f64 z x) (.f64 x (sin.f64 y))))
	80.6%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (fma.f64 (.f64 (.f64 z (cos.f64 y)) x) (/.f64 #s(literal 1 binary64) x) (*.f64 x (sin.f64 y))))
	86.0%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (fma.f64 (.f64 (.f64 x (sin.f64 y)) z) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y))))
	99.8%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (fma.f64 (.f64 z (/.f64 (sin.f64 y) z)) x (.f64 z (cos.f64 y))))
	52.8%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (fma.f64 y (fma.f64 z (*.f64 #s(literal -1/2 binary64) y) x) z))
	89.8%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
	87.2%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (*.f64 z (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))))
✓	89.9%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
	48.7%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))))
	89.5%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (*.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y))))
✓	89.4%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
	89.4%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x (fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)) (sin.f64 y))))
	35.3%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x (.f64 (-.f64 (/.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 z (cos.f64 y)) x) (sin.f64 y))))))
	46.2%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x) y))))
	54.3%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 z (cos.f64 y)) x))))
	36.2%	#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 z x))))
✓	36.7%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (sin.f64 y)))
	14.6%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))))
	14.4%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y))))
	14.5%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* 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))))
	14.6%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* 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 x #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y)))) (*.f64 x #s(literal -1/6 binary64))) x))))
	14.4%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/120 binary64) (.f64 x (.f64 y y)) (*.f64 x #s(literal -1/6 binary64))) x))))
	14.5%	#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (sin y)) (.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)) x))))
✓	53.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	28.7%	#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)))
	28.6%	#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))))
✓	64.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
	41.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	41.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
✓	42.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	49.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 z y) z) x z)))
	48.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (.f64 z (.f64 y x)) (/.f64 #s(literal 1 binary64) z) z)))
✓	51.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 (/.f64 y z) x) z)))
	37.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
✓	14.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
	41.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))

Compiler

Compiled 2 292 to 721 computations (68.5% saved)

regimes230.0ms (1.9%)

Memory

8.5MiB live, 83.9MiB allocated

Counts

84 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 z x))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) 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 (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (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 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (sin y)) (.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)) x))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* 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))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 y (/.f64 x z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 (/.f64 y z) x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (/.f64 (*.f64 x y) z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 z y) z) x z)))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (.f64 z (.f64 y x)) (/.f64 #s(literal 1 binary64) z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (* z -1/2)) x)) z) (*.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 (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 z #s(literal -1/2 binary64))) x) z))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x) y))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/120 binary64) (.f64 x (.f64 y y)) (*.f64 x #s(literal -1/6 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (* z -1/2)) x)) z) (.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (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 (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#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 (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (/.f64 y (.f64 z z))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* 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 x #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y)))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (fma.f64 z #s(literal -1/720 binary64) (.f64 #s(literal -1/48 binary64) z)))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z)))) (.f64 z #s(literal -1/2 binary64))) 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 (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 z (cos.f64 y)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y)))))
(+.f64 #s(approx (* x (sin y)) (.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))) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
#s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (*.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (*.f64 z (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x (fma.f64 z (.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)) (sin.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (fma.f64 (.f64 z (/.f64 (sin.f64 y) z)) x (.f64 z (cos.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (fma.f64 (/.f64 (cos.f64 y) x) (.f64 z x) (.f64 x (sin.f64 y))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) z))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin 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)))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (fma.f64 (.f64 (.f64 x (sin.f64 y)) z) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (fma.f64 (.f64 (.f64 z (cos.f64 y)) x) (/.f64 #s(literal 1 binary64) x) (*.f64 x (sin.f64 y))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (/.f64 (fma.f64 (.f64 z #s(literal 1/2 binary64)) (cos.f64 (.f64 y #s(literal -2 binary64))) (*.f64 z #s(literal 1/2 binary64))) (cos.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) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* 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)))))
(/.f64 #s(approx (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (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 (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x (.f64 (-.f64 (/.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 z (cos.f64 y)) x) (sin.f64 y))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (-.f64 (.f64 (.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (.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 (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 z (fma.f64 x (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (.f64 x (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (.f64 (.f64 z (cos.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))))
(fma.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) z) (/.f64 z (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))) (/.f64 (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))
(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (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)))))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) (neg.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (fma.f64 z (/.f64 (.f64 (cos.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (sin.f64 y)))))))
(fma.f64 (.f64 x (.f64 x (sin.f64 y))) (/.f64 (sin.f64 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)))))))
(/.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 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 (sin.f64 y) x (*.f64 z (cos.f64 y)))

Calls

4 calls:

99.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
82.0ms	y
22.0ms	z
22.0ms	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)

regimes116.0ms (0.9%)

Memory

-10.6MiB live, 32.0MiB allocated

Counts

47 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 z x))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) 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 (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (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 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (sin y)) (.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)) x))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* 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))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 y (/.f64 x z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 (/.f64 y z) x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (/.f64 (*.f64 x y) z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 z y) z) x z)))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (.f64 z (.f64 y x)) (/.f64 #s(literal 1 binary64) z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (* z -1/2)) x)) z) (*.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 (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 z #s(literal -1/2 binary64))) x) z))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x) y))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/120 binary64) (.f64 x (.f64 y y)) (*.f64 x #s(literal -1/6 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (* z -1/2)) x)) z) (.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (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 (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#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 (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (/.f64 y (.f64 z z))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* 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 x #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y)))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (fma.f64 z #s(literal -1/720 binary64) (.f64 #s(literal -1/48 binary64) z)))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z)))) (.f64 z #s(literal -1/2 binary64))) 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 (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 (*.f64 z (cos.f64 y)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) (*.f64 x (sin.f64 y)))))
(+.f64 #s(approx (* x (sin y)) (.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))) (*.f64 z (cos.f64 y)))

Outputs

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

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

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

Calls

4 calls:

73.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
13.0ms	z
13.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
86.8%	3	`x`
81.6%	3	`y`
88.8%	3	`z`
78.5%	2	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes76.0ms (0.6%)

Memory

1.1MiB live, 40.2MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 z x))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) 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 (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (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 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (sin y)) (.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)) x))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* 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))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 y (/.f64 x z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 (/.f64 y z) x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (/.f64 (*.f64 x y) z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 z y) z) x z)))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (.f64 z (.f64 y x)) (/.f64 #s(literal 1 binary64) z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (* z -1/2)) x)) z) (*.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 (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 z #s(literal -1/2 binary64))) x) z))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x) y))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/120 binary64) (.f64 x (.f64 y y)) (*.f64 x #s(literal -1/6 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (* z -1/2)) x)) z) (.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (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 (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#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 (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (/.f64 y (.f64 z z))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* 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 x #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y)))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (fma.f64 z #s(literal -1/720 binary64) (.f64 #s(literal -1/48 binary64) z)))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z)))) (.f64 z #s(literal -1/2 binary64))) 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 (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (*.f64 x (sin.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:

38.0ms	y
12.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
12.0ms	z
12.0ms	x

Results

Accuracy	Segments	Branch
70.5%	4	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
79.7%	4	`y`
76.8%	3	`x`
78.4%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes45.0ms (0.4%)

Memory

8.6MiB live, 46.3MiB allocated

Counts

40 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 z x))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) 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 (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (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 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (sin y)) (.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)) x))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* 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))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 y (/.f64 x z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 (/.f64 y z) x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (/.f64 (*.f64 x y) z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 z y) z) x z)))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (.f64 z (.f64 y x)) (/.f64 #s(literal 1 binary64) z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (* z -1/2)) x)) z) (*.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 (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 z #s(literal -1/2 binary64))) x) z))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x) y))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/120 binary64) (.f64 x (.f64 y y)) (*.f64 x #s(literal -1/6 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (* z -1/2)) x)) z) (.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (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 (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#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 (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (/.f64 y (.f64 z z))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* 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 x #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y)))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (fma.f64 z #s(literal -1/720 binary64) (.f64 #s(literal -1/48 binary64) z)))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z)))) (.f64 z #s(literal -1/2 binary64))) 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

3 calls:

20.0ms	z
11.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
58.5%	3	`x`
75.1%	3	`y`
63.2%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes95.0ms (0.8%)

Memory

-32.1MiB live, 56.6MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (/.f64 z x))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) 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 (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 z y) x) z))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (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 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (sin y)) (.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)) x))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* 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))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 y (/.f64 x z)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (*.f64 (/.f64 y z) x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 z (/.f64 (*.f64 x y) z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 z y) z) x z)))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 z #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 y (/.f64 x z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (.f64 z (.f64 y x)) (/.f64 #s(literal 1 binary64) z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (* z -1/2)) x)) z) (*.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 (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 z #s(literal -1/2 binary64))) x) z))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y))))
#s(approx (/ 1 (/ 1 (+ (* (sin y) x) (* z (cos y))))) (.f64 x #s(approx (+ ( z (/ (cos y) x)) (sin y)) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 z x) y))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) #s(approx (* x (sin y)) (.f64 y (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/120 binary64) (.f64 x (.f64 y y)) (*.f64 x #s(literal -1/6 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sin y) x) (* z (cos y))) #s(approx (+ (* y (+ (* y (* z -1/2)) x)) z) (.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (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 (+ (* (sin y) x) (* z (cos y))) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)))
#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 (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* x (sin y)) (* z (cos y))))))) (.f64 x #s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (-.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (/.f64 y (.f64 z z))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sin y) x) (* z (cos y)))) (fma.f64 x (/.f64 y (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* (* x (* x (sin y))) (/ (sin y) (- (* x (sin y)) (* z (cos y))))) (neg (* (+ 1/2 (* 1/2 (cos (+ y y)))) (/ (* z z) (- (* 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 x #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x (.f64 y y)))) (*.f64 x #s(literal -1/6 binary64))) x))))
#s(approx (/ (- (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* z (cos y)) (* x (sin y)))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (fma.f64 z #s(literal -1/720 binary64) (.f64 #s(literal -1/48 binary64) z)))) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z)))) (.f64 z #s(literal -1/2 binary64))) z)))

Outputs
#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))

Calls

4 calls:

43.0ms	z
27.0ms	y
11.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
11.0ms	x

Results

Accuracy	Segments	Branch
53.2%	1	`x`
53.2%	1	`z`
53.2%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
53.2%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes35.0ms (0.3%)

Memory

2.0MiB live, 41.3MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	y
7.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
7.0ms	x
7.0ms	z

Results

Accuracy	Segments	Branch
53.1%	1	`y`
53.1%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
53.1%	1	`z`
53.1%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB 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 (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (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 (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
44.9%	2	`x`
42.8%	1	`y`
42.8%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
46.0%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

-23.6MiB live, 15.6MiB 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:

3.0ms	y
1.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
14.3%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
14.3%	1	`y`
14.3%	1	`z`
14.3%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch42.0ms (0.3%)

Memory

-2.0MiB live, 76.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	6.866788442905143e+91	8.986308180102417e+98
17.0ms	-1.5991091075551594e+69	-3.0759483887147803e+66

Samples

26.0ms

272×

valid

Compiler

Compiled 372 to 252 computations (32.3% saved)

Precisions

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

ival-sin: 7.0ms (36.8% of total)

ival-cos: 5.0ms (26.3% of total)

ival-mult: 4.0ms (21% of total)

ival-add: 3.0ms (15.8% of total)

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

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

bsearch53.0ms (0.4%)

Memory

23.3MiB live, 62.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	2.8754432187676467e-139	1.5065169595240742e-130
21.0ms	-1.61354400702011e-155	-1.1180701258376943e-184

Samples

27.0ms

320×

valid

Compiler

Compiled 375 to 254 computations (32.3% saved)

Precisions

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

ival-sin: 7.0ms (36.9% of total)

ival-cos: 6.0ms (31.6% of total)

ival-mult: 4.0ms (21.1% of total)

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

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

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

bsearch57.0ms (0.5%)

Memory

11.2MiB live, 50.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.11305038595753089	2.1524881190350382
43.0ms	-2673609859.6620193	-0.010404926586582026

Samples

44.0ms

272×

valid

Compiler

Compiled 491 to 303 computations (38.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 4.0ms (31.6% of total)

ival-sin: 4.0ms (31.6% of total)

ival-cos: 3.0ms (23.7% of total)

ival-add: 1.0ms (7.9% of total)

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

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

bsearch29.0ms (0.2%)

Memory

-7.0MiB live, 32.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-1.5032793761252566e+251	-8.200486913266276e+226

Samples

21.0ms

176×

valid

Compiler

Compiled 213 to 135 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 6.0ms (36.3% of total)

ival-sin: 5.0ms (30.3% of total)

ival-cos: 4.0ms (24.2% of total)

ival-mult: 2.0ms (12.1% of total)

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

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

simplify8.0ms (0.1%)

Memory

8.7MiB live, 8.8MiB 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	56	260
1	64	260

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -5899999999999999883181200358851057124765739209578011923083767578624 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 719999999999999955272043282046389774906445028266128752744967187661794095396395290686740060176384 binary64)) (fma.f64 (sin.f64 y) x (.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -3419095469964197/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 1198751443321341/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 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 -607985949695017/2251799813685248 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 5764607523034235/36028797018963968 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 (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))) (fma.f64 y x z))
(if (<=.f64 x #s(literal -44999999999999997715197765709198977280191005687188055704426461937522236593430297184340862775336856621512065919806621939783687271588372109912551039279506810438667713981499517034517851558684174842137716959840948509977439550746925203456 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))) (*.f64 z #s(approx (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 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(if (<=.f64 z #s(literal -5899999999999999883181200358851057124765739209578011923083767578624 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 719999999999999955272043282046389774906445028266128752744967187661794095396395290686740060176384 binary64)) (fma.f64 (sin.f64 y) x (.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -3419095469964197/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 1198751443321341/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 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 -3419095469964197/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 1198751443321341/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -607985949695017/2251799813685248 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 5764607523034235/36028797018963968 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)))))
(if (<=.f64 y #s(literal -607985949695017/2251799813685248 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 5764607523034235/36028797018963968 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 (sin.f64 y) x))))
#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))) (fma.f64 y x z))
(if (<=.f64 x #s(literal -44999999999999997715197765709198977280191005687188055704426461937522236593430297184340862775336856621512065919806621939783687271588372109912551039279506810438667713981499517034517851558684174842137716959840948509977439550746925203456 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))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -44999999999999997715197765709198977280191005687188055704426461937522236593430297184340862775336856621512065919806621939783687271588372109912551039279506810438667713981499517034517851558684174842137716959840948509977439550746925203456 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 y x))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 z #s(approx (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)))

soundness768.0ms (6.3%)

Memory

-17.2MiB live, 431.5MiB allocated

Rules

12 858×	`lower-fma.f64`
12 858×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
6 982×	`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
0	1108	10214
1	3995	10047
0	8570	9500
0	109	682
1	344	678
2	991	668
3	2652	662
4	4669	662
5	6964	662
0	8196	606

Stop Event

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

Compiler

Compiled 285 to 133 computations (53.3% saved)

preprocess54.0ms (0.4%)

Memory: -1.4MiB live, 154.3MiB allocated
Compiler: Compiled 288 to 96 computations (66.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample2.1s (17.2%)

preprocess45.0ms (0.4%)

explain164.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize40.0ms (0.3%)

series9.0ms (0.1%)

simplify365.0ms (3%)

rewrite423.0ms (3.4%)

eval31.0ms (0.2%)

prune72.0ms (0.6%)

simplify518.0ms (4.2%)

localize233.0ms (1.9%)

series143.0ms (1.2%)

simplify482.0ms (3.9%)

rewrite762.0ms (6.2%)

eval642.0ms (5.2%)

prune357.0ms (2.9%)

simplify304.0ms (2.5%)

localize238.0ms (1.9%)

series56.0ms (0.5%)

simplify581.0ms (4.7%)

rewrite544.0ms (4.4%)

eval353.0ms (2.9%)

prune403.0ms (3.3%)

simplify320.0ms (2.6%)

localize157.0ms (1.3%)

series45.0ms (0.4%)

simplify360.0ms (2.9%)

rewrite391.0ms (3.2%)

eval136.0ms (1.1%)

prune361.0ms (2.9%)

regimes230.0ms (1.9%)

regimes116.0ms (0.9%)

regimes76.0ms (0.6%)

regimes45.0ms (0.4%)

regimes95.0ms (0.8%)

regimes35.0ms (0.3%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch42.0ms (0.3%)

bsearch53.0ms (0.4%)

bsearch57.0ms (0.5%)

bsearch29.0ms (0.2%)

simplify8.0ms (0.1%)

soundness768.0ms (6.3%)

preprocess54.0ms (0.4%)

end0.0ms (0%)

Profiling