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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (15.2%)

Memory

17.6MiB live, 1 640.2MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 897.0ms

ival-sin: 382.0ms (42.6% of total)

ival-mult: 231.0ms (25.8% of total)

ival-cos: 190.0ms (21.2% of total)

ival-add: 84.0ms (9.4% of total)

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

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

Bogosity

explain132.0ms (1.4%)

Memory

-30.5MiB live, 172.4MiB 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

60.0ms

512×

valid

Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-cos: 16.0ms (36.6% of total)

ival-mult: 14.0ms (32% of total)

ival-sin: 11.0ms (25.2% of total)

ival-add: 2.0ms (4.6% of total)

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

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

preprocess45.0ms (0.5%)

Memory

7.2MiB live, 44.8MiB 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 (cos.f64 y) z (*.f64 (sin.f64 y) x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize36.0ms (0.4%)

Memory

12.9MiB live, 55.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.0078125	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
accuracy	0.12890625	(*.f64 z (cos.f64 y))
accuracy	0.1484375	(*.f64 x (sin.f64 y))

Samples

30.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (38.8% of total)

ival-sin: 6.0ms (29.1% of total)

ival-cos: 5.0ms (24.3% of total)

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

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

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

series13.0ms (0.1%)

Memory

-16.6MiB live, 20.6MiB 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 (* 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 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 (.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 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 (.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 (* 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 (.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 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 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 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 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 (+ (* 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 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 (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 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 (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ (* x (sin y)) (* 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 -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 (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 -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 (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (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 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 (.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 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 (.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 (* 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>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms	z	@	inf	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms	y	@	inf	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms	x	@	0	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms	x	@	-inf	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))

simplify166.0ms (1.8%)

Memory

19.0MiB live, 202.1MiB 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	981	668
3	2637	662
4	4654	662
5	6949	662
0	8182	606

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

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))
(* z (cos 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))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* 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
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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)))))))
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))))
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))))))
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)))
(+ (* 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))
(* x (sin y))
(* x (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(cos y)
(cos y)
(cos y)
(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))
(* x (sin y))
(* x (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (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))
(* x (sin y))
(* x (sin 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))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* 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))
(* x (sin y))
(* x (sin y))

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

rewrite272.0ms (2.9%)

Memory

-12.9MiB live, 280.5MiB allocated

Rules

11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
4 168×	`lower-*.f32`
4 164×	`lower-*.f64`
4 070×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 177

Calls

Call 1

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

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

eval34.0ms (0.4%)

Memory: -10.9MiB live, 61.9MiB allocated
Compiler: Compiled 10 212 to 554 computations (94.6% saved)

prune106.0ms (1.1%)

Memory

28.3MiB live, 73.5MiB 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
	57.0%	(fma.f64 (.f64 (.f64 (sin.f64 y) x) x) (/.f64 (sin.f64 y) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
▶	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	59.6%	(fma.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
	44.9%	(/.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))
	27.1%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))))
	43.6%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 (cos.f64 y) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)))))
▶	27.7%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
	79.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
▶	44.8%	(.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
	14.9%	(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z)) (-.f64 (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x))) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 4 binary64))))
	51.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
	51.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
▶	52.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
▶	43.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	58.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))

Compiler

Compiled 970 to 476 computations (50.9% saved)

simplify145.0ms (1.5%)

Memory

-5.9MiB live, 146.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))
cost-diff	0	(+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))
cost-diff	0	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z))))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	128	(.f64 (neg.f64 (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
cost-diff	320	(.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
cost-diff	6272	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) x)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
cost-diff	0	(fma.f64 y x z)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) x)
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))

Rules

12 950×	`lower-fma.f32`
12 942×	`lower-fma.f64`
4 378×	`lower-*.f32`
4 362×	`lower-*.f64`
1 366×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	375
0	66	373
1	124	371
2	259	371
3	764	368
4	2456	366
5	5665	366
0	8276	355

Stop Event

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

Calls

Call 1

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

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

localize260.0ms (2.7%)

Memory

-3.4MiB live, 358.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	1.9453063074906176	(+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)))
accuracy	8.25784618389628	(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z)))
accuracy	15.564141523920235	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	38.87672159977358	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z))))
accuracy	1.273423738027801	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
accuracy	9.613400466758117	(.f64 (neg.f64 (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
accuracy	15.564141523920235	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
accuracy	25.6509838139463	(.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
accuracy	0	(sin.f64 y)
accuracy	0.1484375	(*.f64 (sin.f64 y) x)
accuracy	36.322515403307975	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
accuracy	0	(fma.f64 y x z)
accuracy	30.314838432862885	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.0625	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy	0.1484375	(*.f64 (sin.f64 y) x)

Samples

105.0ms	78×	1	valid
54.0ms	48×	2	valid
52.0ms	130×	0	valid

Compiler

Compiled 373 to 39 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

adjust: 34.0ms (23.8% of total)

ival-mult: 31.0ms (21.7% of total)

ival-cos: 31.0ms (21.7% of total)

ival-add: 13.0ms (9.1% of total)

ival-pow: 12.0ms (8.4% of total)

ival-div: 8.0ms (5.6% of total)

ival-sin: 7.0ms (4.9% of total)

ival-sub: 5.0ms (3.5% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series143.0ms (1.5%)

Memory

12.1MiB live, 160.5MiB allocated

Counts

16 → 444

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
40.0ms	y	@	inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (+ 1/2 (* 1/2 (cos (+ y y)))) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y))))) (- 1/2 (* 1/2 (cos (+ y y)))) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z))))
35.0ms	x	@	inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (+ 1/2 (* 1/2 (cos (+ y y)))) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y))))) (- 1/2 (* 1/2 (cos (+ y y)))) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z))))
9.0ms	z	@	inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (+ 1/2 (* 1/2 (cos (+ y y)))) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y))))) (- 1/2 (* 1/2 (cos (+ y y)))) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z))))
8.0ms	z	@	0	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (+ 1/2 (* 1/2 (cos (+ y y)))) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y))))) (- 1/2 (* 1/2 (cos (+ y y)))) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z))))
7.0ms	y	@	-inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (+ 1/2 (* 1/2 (cos (+ y y)))) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y))))) (- 1/2 (* 1/2 (cos (+ y y)))) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (pow (* (cos y) z) 3) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z))))

simplify261.0ms (2.8%)

Memory

26.9MiB live, 334.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 656×	`lower-fma.f64`
9 656×	`lower-fma.f32`
7 404×	`lower-*.f64`
7 404×	`lower-*.f32`
4 070×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	783	8609
1	2793	8311
0	8345	7941

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 434

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

rewrite378.0ms (4%)

Memory

-45.4MiB live, 488.7MiB allocated

Rules

9 446×	`lower-fma.f32`
9 438×	`lower-fma.f64`
4 038×	`lower-*.f32`
4 022×	`lower-*.f64`
3 928×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	224
0	66	161
1	260	130
2	1972	130
0	8634	129

Stop Event

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

Counts

16 → 888

Calls

Call 1

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

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

eval215.0ms (2.3%)

Memory: 16.8MiB live, 371.0MiB allocated
Compiler: Compiled 77 628 to 2 945 computations (96.2% saved)

prune275.0ms (2.9%)

Memory

14.8MiB live, 369.1MiB allocated

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	1 560	33	1 593
Fresh	9	2	11
Picked	2	3	5
Done	0	0	0
Total	1 571	38	1 609

Accuracy

100.0%

Counts

1 609 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	79.8%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
	59.6%	(fma.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))))
	28.1%	(/.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (sin.f64 y)) x (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x) (.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z))))
	44.8%	(/.f64 (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y))))
	37.4%	(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (.f64 x (sin.f64 y)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
▶	44.8%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
	44.9%	(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z (.f64 (neg.f64 (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
	49.5%	(.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
	16.2%	(.f64 #s(approx (+ ( (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 (neg.f64 x) x) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))))
	51.4%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
	93.2%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
▶	58.4%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))
	51.1%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
	89.5%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
✓	52.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	12.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 x y) x) y (.f64 z (-.f64 z (.f64 x y))))))
	32.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
	52.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
	12.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) x) y (.f64 z (-.f64 z (*.f64 x y)))))))
	35.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z))))
✓	43.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	16.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
	17.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) x))
	50.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
	50.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
▶	17.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
	16.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal 1/120 binary64) x)) y) y (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
▶	17.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
	16.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
	46.1%	#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 x #s(literal -1/3 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) z) x) z)) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
	50.5%	#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (fma.f64 (.f64 (cos.f64 y) z) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y)))))
	46.4%	#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (.f64 (fma.f64 z (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y))) x))
	58.1%	#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (.f64 (neg.f64 z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 z)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (sin.f64 y)) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z))))
	92.8%	#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (.f64 (neg.f64 z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 (sin.f64 y) x) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))))
	58.2%	#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (.f64 z (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
	29.6%	#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (sin.f64 y))))

Compiler

Compiled 1 885 to 1 008 computations (46.5% saved)

simplify149.0ms (1.6%)

Memory

19.6MiB live, 129.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))))
cost-diff	320	(.f64 (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) #s(literal -1 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))))
cost-diff	6144	(fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)
cost-diff	0	#s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
cost-diff	320	(fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (+ (* y x) z) (*.f64 y x))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))

Rules

8 538×	`lower-fma.f32`
8 524×	`lower-fma.f64`
3 366×	`lower-*.f32`
3 342×	`lower-*.f64`
1 886×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	438
0	105	431
1	205	420
2	472	416
3	1555	415
4	5120	415
0	8125	402

Stop Event

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

Calls

Call 1

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

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

localize406.0ms (4.3%)

Memory

-2.0MiB live, 446.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.5312458716604118	(fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)))
accuracy	9.613400466758117	(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))
accuracy	15.564141523920235	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
accuracy	25.61934423636201	(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)))
accuracy	0	(cos.f64 y)
accuracy	0.12890625	(*.f64 (cos.f64 y) z)
accuracy	26.561485590693643	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))
accuracy	0.33203125	(*.f64 #s(literal -1/6 binary64) x)
accuracy	9.861048253010118	(.f64 (.f64 y y) x)
accuracy	30.996315932630118	#s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))
accuracy	36.322515403307975	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
accuracy	0	(*.f64 y x)
accuracy	28.14985455180635	#s(approx (+ (* y x) z) (*.f64 y x))
accuracy	30.314838432862885	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
accuracy	0.0625	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy	0.1484375	(*.f64 (sin.f64 y) x)
accuracy	0.1796875	(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
accuracy	0.24609375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))

Samples

151.0ms	130×	0	valid
104.0ms	80×	1	valid
82.0ms	46×	2	valid

Compiler

Compiled 407 to 61 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-mult: 54.0ms (20.9% of total)

ival-pow: 52.0ms (20.1% of total)

ival-add: 52.0ms (20.1% of total)

ival-cos: 29.0ms (11.2% of total)

ival-sin: 25.0ms (9.7% of total)

adjust: 18.0ms (7% of total)

ival-div: 12.0ms (4.6% of total)

const: 9.0ms (3.5% of total)

ival-sub: 4.0ms (1.5% of total)

ival-neg: 3.0ms (1.2% of total)

exact: 1.0ms (0.4% of total)

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

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

series129.0ms (1.4%)

Memory

-31.7MiB live, 207.3MiB allocated

Counts

23 → 660

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (.f64 (sin.f64 y) x)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 y x))) (patch #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y x) z) (.f64 y x)) (patch #s(approx (+ ( y x) z) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (.f64 y y) x) y))) (patch #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y))) #<representation binary64>) () ())
#s(alt #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (.f64 y y) x) y)) (patch #s(approx ( (sin y) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (.f64 y y) x) y) (patch (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (.f64 y y) x) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 (cos.f64 y) z)) (patch #s(approx (/ (+ (pow ( (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 y) z) (patch (.f64 (cos.f64 y) z) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) (patch (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) #s(literal -1 binary64)) (patch (.f64 (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (patch (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 y) x) (patch (.f64 (sin.f64 y) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/6 binary64) x) (patch (.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) #s(literal -1 binary64))) (patch (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x)) (patch (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x)) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	z	@	0	((/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (/ 1 (+ (* (cos y) z) (* (sin y) x))) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (+ (* (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* y y)) x) y) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (* (cos y) z) (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1) (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (sin y) x) (* (* y y) x) (* -1/6 x) (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (+ (* -1/2 (cos (+ y y))) 1/2) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x)))
10.0ms	y	@	0	((/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (/ 1 (+ (* (cos y) z) (* (sin y) x))) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (+ (* (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* y y)) x) y) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (* (cos y) z) (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1) (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (sin y) x) (* (* y y) x) (* -1/6 x) (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (+ (* -1/2 (cos (+ y y))) 1/2) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x)))
9.0ms	x	@	-inf	((/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (/ 1 (+ (* (cos y) z) (* (sin y) x))) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (+ (* (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* y y)) x) y) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (* (cos y) z) (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1) (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (sin y) x) (* (* y y) x) (* -1/6 x) (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (+ (* -1/2 (cos (+ y y))) 1/2) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x)))
8.0ms	x	@	0	((/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (/ 1 (+ (* (cos y) z) (* (sin y) x))) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (+ (* (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* y y)) x) y) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (* (cos y) z) (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1) (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (sin y) x) (* (* y y) x) (* -1/6 x) (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (+ (* -1/2 (cos (+ y y))) 1/2) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x)))
8.0ms	y	@	inf	((/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (/ 1 (+ (* (cos y) z) (* (sin y) x))) (+ (* (cos y) z) (* (sin y) x)) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (+ (* (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* y y)) x) y) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (* (cos y) z) (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1) (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (sin y) x) (* (* y y) x) (* -1/6 x) (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (+ (* -1/2 (cos (+ y y))) 1/2) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x)))

simplify210.0ms (2.2%)

Memory

23.6MiB live, 362.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6 990×	`lower-*.f64`
6 990×	`lower-*.f32`
6 592×	`lower-fma.f64`
6 592×	`lower-fma.f32`
3 250×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1063	11964
1	3913	11650
0	8435	10865

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 649

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

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

rewrite290.0ms (3.1%)

Memory

31.1MiB live, 469.5MiB allocated

Rules

6 334×	`lower-fma.f32`
6 320×	`lower-fma.f64`
5 400×	`lower-*.f32`
5 376×	`lower-*.f64`
2 256×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	357
0	105	294
1	417	228
2	3110	228
0	8681	222

Stop Event

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

Counts

23 → 922

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y))) z) (cos.f64 y))) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y))) z) (cos.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 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 3 binary64)))))
(.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y))) z) (cos.f64 y)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (.f64 x (sin.f64 y)) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (*.f64 (neg.f64 x) (sin.f64 y))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)))) #s(literal 1 binary64)) (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y))) z) (cos.f64 y)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y))) z) (cos.f64 y)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y))) z) (cos.f64 y)) (-.f64 (.f64 (.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y))) z) (cos.f64 y)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x))) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y))) z) (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 9 binary64))) (.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))))) (-.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 9 binary64))) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y))) z) (cos.f64 y))) (-.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 x (sin.f64 y)) z) (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y))) z) (cos.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z))))) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z) (.f64 (.f64 x (sin.f64 y)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y))))) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y))) (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(neg.f64 (neg.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)) (*.f64 z (cos.f64 y)))
(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 x (sin.f64 y)))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 (neg.f64 (neg.f64 x)) (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) (neg.f64 x) (*.f64 z (cos.f64 y)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (neg.f64 x) (neg.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 z (cos.f64 y)) #s(literal 1 binary64) (.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64) (.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 (neg.f64 x)) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (.f64 z (cos.f64 y)) (.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(fma.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)) (.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 z (cos.f64 y)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))
(+.f64 (.f64 (.f64 z (cos.f64 y)) #s(literal 1 binary64)) (.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64)) (.f64 (.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 z (cos.f64 y))) (.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y))) (.f64 #s(literal 1 binary64) (.f64 z (cos.f64 y))))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(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)
(*.f64 y x)
(.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) #s(literal 1/1728000 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) #s(literal 1/14400 binary64) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/120 binary64)))))))
(.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(pow.f64 (/.f64 (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 x (-.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) #s(literal 1/14400 binary64) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))))) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) #s(literal 1/1728000 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) x)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) #s(literal 1/14400 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (neg.f64 (.f64 x (-.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) #s(literal 1/1728000 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) #s(literal 1/14400 binary64) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64)))))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (.f64 x (-.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) #s(literal 1/1728000 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/36 binary64) (.f64 x x) (-.f64 (.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) #s(literal 1/14400 binary64)) (.f64 (.f64 (.f64 (.f64 (*.f64 y y) x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) #s(literal 1/1728000 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) #s(literal 1/14400 binary64) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 x (-.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) #s(literal 1/14400 binary64) (.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))))) (fma.f64 (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) #s(literal 1/1728000 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) x)))))
(fma.f64 (.f64 #s(literal 1/120 binary64) x) (.f64 y y) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 (.f64 #s(literal 1/120 binary64) y) (.f64 x y) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) x (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 #s(literal -1/6 binary64) x (.f64 (.f64 (*.f64 y y) x) #s(literal 1/120 binary64)))
(fma.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 (.f64 y y) (.f64 x #s(literal 1/120 binary64)) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 x (.f64 (.f64 y y) #s(literal 1/120 binary64)) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 x #s(literal -1/6 binary64) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/120 binary64)))
(fma.f64 y (.f64 (.f64 x y) #s(literal 1/120 binary64)) (*.f64 #s(literal -1/6 binary64) x))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) #s(literal 1/14400 binary64)) (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(+.f64 (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64)) (.f64 #s(literal -1/6 binary64) x))
(+.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y) x) y)))
#s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y) x) y))
(.f64 (fma.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y) x) y)
(.f64 y (fma.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y) x))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y) x) (fma.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y) (neg.f64 x))) y) (fma.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)) (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x)) y) (fma.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) (.f64 y (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y))) (.f64 x (-.f64 x (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y))))))
(/.f64 (.f64 y (.f64 (fma.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y) x) (fma.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y) (neg.f64 x)))) (fma.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y) (neg.f64 x)))
(/.f64 (.f64 y (fma.f64 (.f64 (.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)) (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y)) (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) (.f64 y (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y))) (.f64 x (-.f64 x (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y))))))
(fma.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y)) y (*.f64 x y))
(fma.f64 x y (.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y)) y))
(fma.f64 x y (.f64 y (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 y y))))
(fma.f64 y (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y)) (*.f64 x y))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/4 binary64)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) x) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) x)
(.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(.f64 (neg.f64 x) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) x))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))
(.f64 x (.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64))) (*.f64 (neg.f64 x) x)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (neg.f64 x) x)) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 (neg.f64 x) x)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/4 binary64)))))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64)))) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (cos.f64 (+.f64 y y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 y y)) #s(literal -1/4 binary64)))))
(neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (.f64 (neg.f64 x) x) (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) x)))
(fma.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/2 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) x) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (.f64 (neg.f64 x) x)))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (.f64 (neg.f64 x) x)) (.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) x)) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) (*.f64 (neg.f64 x) x)))
(+.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (.f64 (.f64 (neg.f64 x) x) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))

eval401.0ms (4.2%)

Memory: -95.6MiB live, 460.5MiB allocated
Compiler: Compiled 59 802 to 3 463 computations (94.2% saved)

prune297.0ms (3.1%)

Memory

9.4MiB live, 555.3MiB allocated

Pruning

44 alts after pruning (39 fresh and 5 done)

	Pruned	Kept	Total
New	1 571	26	1 597
Fresh	17	13	30
Picked	3	2	5
Done	0	3	3
Total	1 591	44	1 635

Accuracy

100.0%

Counts

1 635 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	79.8%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
	48.8%	(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	49.4%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 z (cos.f64 y)))) (.f64 (fma.f64 (.f64 z z) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))))
	52.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 y x z))))
	58.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z))))
	25.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 x x) (.f64 (.f64 z z) z))) y (/.f64 x (.f64 (neg.f64 z) z))) y (/.f64 #s(literal 1 binary64) z))))
	34.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
	28.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (-.f64 (/.f64 (sin.f64 y) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (/.f64 (.f64 (cos.f64 y) z) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))) x)))
▶	29.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))))
	58.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (cos.f64 y) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) z))))
	39.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 #s(literal 1 binary64) z)))
	38.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (cos y) z) (* (sin y) x))) (/.f64 (fma.f64 z (/.f64 (cos.f64 y) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x))))
	44.9%	(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z (.f64 (neg.f64 (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
	49.5%	(.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
	51.4%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
▶	93.2%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
✓	58.4%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))
	37.0%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) z))
	37.0%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
	37.0%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
▶	39.4%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
▶	37.0%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
	37.0%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
	46.2%	#s(approx (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) (sin.f64 y)) #s(literal -1/2 binary64) (fma.f64 z (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sin.f64 y)))) x))
	46.4%	#s(approx (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (.f64 (neg.f64 (fma.f64 z (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)))) (neg.f64 x)))
	92.8%	#s(approx (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (.f64 (neg.f64 z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 (sin.f64 y) x) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)))))
	58.2%	#s(approx (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (.f64 z (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
	29.6%	#s(approx (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y))))
	89.5%	#s(approx (/ 1 (/ 1 (+ (* (cos y) z) (* (sin y) x)))) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x))
✓	52.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	32.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
	35.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z))))
✓	43.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	16.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
	17.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) x))
	50.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
	50.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
✓	17.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
	17.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (fma.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y)) y (*.f64 x y))))
	16.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal 1/120 binary64) x)) y) y (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
▶	16.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) y)))
	16.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 #s(literal -1/6 binary64) x)) (.f64 y y) x) y)))
	58.1%	#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (.f64 (neg.f64 z) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (neg.f64 z)) (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (sin.f64 y)) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z))))

Compiler

Compiled 1 807 to 1 025 computations (43.3% saved)

simplify278.0ms (2.9%)

Memory

9.0MiB live, 146.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (sin.f64 y) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))))
cost-diff	128	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	#s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z))
cost-diff	0	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
cost-diff	320	(fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) z))
cost-diff	320	(fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (.f64 y y) (*.f64 #s(literal -1/2 binary64) z))
cost-diff	0	(fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x)
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) y)
cost-diff	0	#s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) y))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) y)))
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
cost-diff	0	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
cost-diff	0	(/.f64 (sin.f64 y) z)
cost-diff	0	(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
cost-diff	0	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
cost-diff	704	(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)

Rules

9 202×	`lower-fma.f32`
9 190×	`lower-fma.f64`
3 670×	`lower-*.f32`
3 648×	`lower-*.f64`
1 796×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	615
0	116	608
1	243	594
2	533	585
3	1592	585
4	4325	577
5	7872	577
0	8200	555

Stop Event

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

Calls

Call 1

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

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

localize597.0ms (6.3%)

Memory

-9.4MiB live, 341.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	5.277506003005565	(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)
accuracy	5.353068358798017	(/.f64 (sin.f64 y) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))
accuracy	15.564141523920235	(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))
accuracy	36.50041832509588	#s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)))
accuracy	0.328125	(*.f64 #s(literal 1/24 binary64) z)
accuracy	7.7753256188351525	(.f64 (.f64 y y) z)
accuracy	26.561485590693643	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
accuracy	31.206148522887645	#s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z))
accuracy	9.861048253010118	(.f64 (.f64 y y) x)
accuracy	30.996315932630118	#s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) y))
accuracy	31.278767612646913	#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/120 binary64)))
accuracy	36.322515403307975	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) y)))
accuracy	0.12890625	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
accuracy	26.561485590693643	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
accuracy	28.421401510946204	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
accuracy	0.08984375	(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
accuracy	0.11328125	(/.f64 (sin.f64 y) z)
accuracy	4.317650636472862	(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)

Samples

279.0ms	74×	2	valid
100.0ms	39×	1	valid
91.0ms	130×	0	valid
28.0ms	13×	3	valid

Compiler

Compiled 448 to 79 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 458.0ms

ival-mult: 168.0ms (36.7% of total)

adjust: 106.0ms (23.1% of total)

ival-add: 69.0ms (15.1% of total)

ival-cos: 53.0ms (11.6% of total)

ival-sin: 17.0ms (3.7% of total)

const: 15.0ms (3.3% of total)

ival-div: 12.0ms (2.6% of total)

ival-pow: 11.0ms (2.4% of total)

ival-sub: 4.0ms (0.9% of total)

ival-neg: 3.0ms (0.7% of total)

exact: 1.0ms (0.2% of total)

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

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

series140.0ms (1.5%)

Memory

7.1MiB live, 129.9MiB allocated

Counts

25 → 648

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) (patch (.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) (patch #s(approx (/ (+ (pow ( (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)) #<representation binary64>) () ())
#s(alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (patch (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (patch #s(approx (/ (+ (pow ( (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<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 #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) y))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) y))) #<representation binary64>) () ())
#s(alt #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) y)) (patch #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) y)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) y) (patch (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) (patch (fma.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (patch (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z))) (patch #s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z))) #<representation binary64>) () ())
#s(alt #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)) (patch #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) y) (patch (.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))) (patch #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 y) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)) (patch (/.f64 (sin.f64 y) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (patch #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y y) z) (patch (.f64 (.f64 y y) z) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/24 binary64) z) (patch (.f64 #s(literal 1/24 binary64) z) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x) (patch (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
35.0ms	x	@	0	((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (+ (* (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* y y)) x) (+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z)) (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (* (cos y) z) (* 2 y) (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/ (sin y) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x)) (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* (* y y) x) (* (* y y) z) (* 1/24 z) (+ (* -1/2 (cos (* 2 y))) 1/2) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x))
20.0ms	y	@	inf	((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (+ (* (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* y y)) x) (+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z)) (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (* (cos y) z) (* 2 y) (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/ (sin y) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x)) (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* (* y y) x) (* (* y y) z) (* 1/24 z) (+ (* -1/2 (cos (* 2 y))) 1/2) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x))
17.0ms	y	@	0	((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (+ (* (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* y y)) x) (+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z)) (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (* (cos y) z) (* 2 y) (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/ (sin y) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x)) (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* (* y y) x) (* (* y y) z) (* 1/24 z) (+ (* -1/2 (cos (* 2 y))) 1/2) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x))
8.0ms	y	@	-inf	((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (+ (* (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* y y)) x) (+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z)) (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (* (cos y) z) (* 2 y) (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/ (sin y) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x)) (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* (* y y) x) (* (* y y) z) (* 1/24 z) (+ (* -1/2 (cos (* 2 y))) 1/2) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x))
5.0ms	x	@	-inf	((* (+ (* x (/ (sin y) z)) (cos y)) z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (+ (* x (/ (sin y) z)) (cos y)) (/ (sin y) z) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (* (sin y) x) (* (+ (* (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* y y)) x) y) (+ (* (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* y y)) x) (+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z)) (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (* (cos y) z) (* 2 y) (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/ (sin y) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x)) (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (* (* y y) x) (* (* y y) z) (* 1/24 z) (+ (* -1/2 (cos (* 2 y))) 1/2) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x))

simplify261.0ms (2.8%)

Memory

-11.2MiB live, 220.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 928×	`lower-*.f64`
6 928×	`lower-*.f32`
6 168×	`lower-fma.f64`
6 168×	`lower-fma.f32`
3 702×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	920	13975
1	3354	13583
0	8024	12669

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 639

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

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

rewrite270.0ms (2.9%)

Memory

12.0MiB live, 403.0MiB allocated

Rules

7 490×	`lower-fma.f32`
7 478×	`lower-fma.f64`
6 350×	`lower-*.f32`
6 328×	`lower-*.f64`
2 546×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	548
0	116	541
1	499	369
2	3647	369
0	9672	358

Stop Event

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

Counts

25 → 277

Calls

Call 1

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

Outputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(*.f64 z (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 z z)) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) z) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #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 (sin.f64 y) z) x)) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (.f64 z z))))
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eval220.0ms (2.3%)

Memory: -17.2MiB live, 340.1MiB allocated
Compiler: Compiled 24 512 to 1 669 computations (93.2% saved)

prune203.0ms (2.1%)

Memory

-18.6MiB live, 429.8MiB allocated

Pruning

43 alts after pruning (36 fresh and 7 done)

	Pruned	Kept	Total
New	902	14	916
Fresh	12	22	34
Picked	3	2	5
Done	0	5	5
Total	917	43	960

Accuracy

100.0%

Counts

960 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	79.8%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
	48.8%	(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	58.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z))))
	34.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
	29.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64))))))
	29.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (sin.f64 y) (*.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))))
	58.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 (cos.f64 y) (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) z))))
	39.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 #s(literal 1 binary64) z)))
	16.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) y))))
	17.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
	44.9%	(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z (.f64 (neg.f64 (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
	49.5%	(.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z (.f64 (neg.f64 (.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))
	51.4%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
	88.7%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
	88.7%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 (fma.f64 (sin.f64 y) (.f64 (/.f64 #s(literal 1 binary64) z) x) (cos.f64 y)) z))
✓	93.2%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
	93.2%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 (fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y)) (cos.f64 y)) z))
✓	58.4%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))
	50.5%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z))
	36.6%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z))
	37.0%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
	37.0%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
✓	39.4%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	89.5%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (+ (* x (/ (sin y) z)) (cos y)) z) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)) x)))
	24.9%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 (.f64 y y) z) (.f64 (.f64 y y) z)) (neg.f64 (.f64 #s(literal 1/576 binary64) (.f64 z z)))) (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 y y)) z (.f64 #s(literal -1/24 binary64) z))) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
	37.0%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
	37.0%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64))) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
	37.0%	#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 #s(approx (+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z)) (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) z)) (.f64 y y) z)))
	46.4%	#s(approx (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (.f64 (neg.f64 (fma.f64 z (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (cos.f64 y)) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y)))) (neg.f64 x)))
	58.2%	#s(approx (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (.f64 z (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 y))))
	29.6%	#s(approx (/ 1 (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1))) (.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)) (sin.f64 y))))
✓	52.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	32.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
	35.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z))))
✓	43.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
	16.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
	17.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) x))
✓	17.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
	17.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (fma.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y)) y (*.f64 x y))))
	16.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal 1/120 binary64) x)) y) y (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
	16.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 #s(literal 1/120 binary64) y) (*.f64 y x))) y) y x) y)))
	16.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 #s(literal -1/6 binary64) x)) (.f64 y y) x) y)))

Compiler

Compiled 2 724 to 817 computations (70% saved)

regimes112.0ms (1.2%)

Memory

15.8MiB live, 211.1MiB allocated

Counts

90 → 1

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
26.0ms	y
26.0ms	x
25.0ms	z

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes62.0ms (0.7%)

Memory

-20.7MiB live, 139.5MiB allocated

Counts

46 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 #s(literal -1/6 binary64) x)) (.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 y x z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 #s(literal 1/120 binary64) y) (*.f64 y x))) y) y x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (fma.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y)) y (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 #s(approx (+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z)) (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) z)) (.f64 y y) z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64))) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 x #s(literal -1/3 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) z) x) z)) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal 1/120 binary64) x)) y) y (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 x y) x) y (.f64 z (-.f64 z (.f64 x y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) x) y (.f64 z (-.f64 z (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 x x) (.f64 (.f64 z z) z))) y (/.f64 x (.f64 (neg.f64 z) z))) y (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 (.f64 y y) z) (.f64 (.f64 y y) z)) (neg.f64 (.f64 #s(literal 1/576 binary64) (.f64 z z)))) (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 y y)) z (.f64 #s(literal -1/24 binary64) z))) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z))))

Outputs

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

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

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

Calls

4 calls:

15.0ms	y
15.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
14.0ms	z
14.0ms	x

Results

Accuracy	Segments	Branch
87.5%	3	`x`
79.8%	1	`y`
88.3%	3	`z`
79.8%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes79.0ms (0.8%)

Memory

22.2MiB live, 99.3MiB allocated

Counts

42 → 4

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 #s(literal -1/6 binary64) x)) (.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 y x z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 #s(literal 1/120 binary64) y) (*.f64 y x))) y) y x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (fma.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y)) y (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 #s(approx (+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z)) (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) z)) (.f64 y y) z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64))) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 x #s(literal -1/3 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) z) x) z)) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal 1/120 binary64) x)) y) y (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 x y) x) y (.f64 z (-.f64 z (.f64 x y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) x) y (.f64 z (-.f64 z (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 x x) (.f64 (.f64 z z) z))) y (/.f64 x (.f64 (neg.f64 z) z))) y (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 (.f64 y y) z) (.f64 (.f64 y y) z)) (neg.f64 (.f64 #s(literal 1/576 binary64) (.f64 z z)))) (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 y y)) z (.f64 #s(literal -1/24 binary64) z))) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 (cos.f64 y) z))

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

Calls

4 calls:

27.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
26.0ms	x
11.0ms	z
11.0ms	y

Results

Accuracy	Segments	Branch
67.3%	6	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
79.6%	4	`y`
75.2%	3	`x`
73.4%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes41.0ms (0.4%)

Memory

-12.4MiB live, 106.3MiB allocated

Counts

40 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 #s(literal -1/6 binary64) x)) (.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 y x z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 #s(literal 1/120 binary64) y) (*.f64 y x))) y) y x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (fma.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y)) y (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 #s(approx (+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z)) (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) z)) (.f64 y y) z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64))) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 x #s(literal -1/3 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) z) x) z)) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal 1/120 binary64) x)) y) y (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 x y) x) y (.f64 z (-.f64 z (.f64 x y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) x) y (.f64 z (-.f64 z (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 x x) (.f64 (.f64 z z) z))) y (/.f64 x (.f64 (neg.f64 z) z))) y (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 (.f64 y y) z) (.f64 (.f64 y y) z)) (neg.f64 (.f64 #s(literal 1/576 binary64) (.f64 z z)))) (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 y y)) z (.f64 #s(literal -1/24 binary64) z))) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))

Outputs

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

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

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

Calls

3 calls:

13.0ms	y
13.0ms	x
12.0ms	z

Results

Accuracy	Segments	Branch
67.0%	3	`z`
67.5%	3	`x`
72.8%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes50.0ms (0.5%)

Memory

-22.6MiB live, 107.9MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 #s(literal -1/6 binary64) x)) (.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 y x) z) z z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (+ ( x (/ (sin y) z)) (cos y)) (fma.f64 x (/.f64 y z) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (/.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 y x z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 #s(approx (+ ( 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (.f64 y y) x) #s(literal 1/120 binary64))) (.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 #s(literal 1/120 binary64) y) (*.f64 y x))) y) y x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (fma.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 y y)) y (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 #s(approx (+ (* (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (* y y)) (* -1/2 z)) (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) z)) (.f64 y y) z)))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (.f64 x y) x) y)) (-.f64 z (*.f64 x y))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 #s(approx (+ (* (* (* y y) z) -1/720) (* 1/24 z)) (.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64))) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (sin y) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) x))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (.f64 (fma.f64 x y z) (-.f64 (.f64 x y) z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (neg.f64 x) (/.f64 y (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) z)) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
#s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (+ y y)))) z) z) (* (neg (* x x)) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (- (* (cos y) z) (* (sin y) x)))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 x #s(literal -1/3 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) z) x) z)) (*.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (sin y) x) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal 1/120 binary64) x)) y) y (.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) #s(approx (/ (sin y) (* (+ (* -1/2 (cos (* 2 y))) 1/2) x)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) x) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) y))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 x y) x) y (.f64 z (-.f64 z (.f64 x y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (fma.f64 (.f64 z z) z (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x y) x) y (.f64 z (-.f64 z (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (neg (+ (* (neg x) (sin y)) (* z (cos y)))) (* (+ (* (* z z) (+ (* (cos (+ y y)) 1/2) 1/2)) (* (+ (* -1/2 (cos (+ y y))) 1/2) (* (neg x) x))) -1)) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 x x) (.f64 (.f64 z z) z))) y (/.f64 x (.f64 (neg.f64 z) z))) y (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (+ (pow (* (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (.f64 (.f64 (.f64 y y) z) (.f64 (.f64 y y) z)) (neg.f64 (.f64 #s(literal 1/576 binary64) (.f64 z z)))) (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 y y)) z (.f64 #s(literal -1/24 binary64) z))) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)))

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

Calls

4 calls:

13.0ms	z
12.0ms	y
12.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
11.0ms	x

Results

Accuracy	Segments	Branch
52.6%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
52.6%	1	`z`
52.6%	1	`x`
52.6%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
39.4%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
39.4%	1	`y`
43.7%	3	`z`
44.8%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB 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 y x)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
17.1%	1	`y`
17.1%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
17.1%	1	`z`
17.1%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch38.0ms (0.4%)

Memory

-9.4MiB live, 68.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.508153727024008e+151	3.779982725026806e+155
19.0ms	-5.14102604891171e+215	-9.673924423465436e+206

Samples

25.0ms

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: 8.0ms (42.7% of total)

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

ival-mult: 4.0ms (21.4% of total)

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

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

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

bsearch46.0ms (0.5%)

Memory

7.6MiB live, 87.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	8.770202759645477e-20	2.0016447544424086e-9
12.0ms	-0.026252530040749424	-1.351146258842585e-5
14.0ms	-3.8055848715329543e+230	-1.7505826070537582e+230

Samples

29.0ms

368×

valid

Compiler

Compiled 609 to 380 computations (37.6% saved)

Precisions

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

ival-sin: 7.0ms (37.1% of total)

ival-cos: 6.0ms (31.8% of total)

ival-mult: 5.0ms (26.5% of total)

ival-add: 2.0ms (10.6% of total)

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

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

bsearch39.0ms (0.4%)

Memory

-1.8MiB live, 75.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.0016447544424086e-9	824.1821498007384
20.0ms	-3311.6139291620057	-2.1525227415846384

Samples

25.0ms

288×

valid

Compiler

Compiled 519 to 320 computations (38.3% saved)

Precisions

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

ival-sin: 6.0ms (32.9% of total)

ival-cos: 5.0ms (27.4% of total)

ival-mult: 4.0ms (21.9% of total)

ival-add: 3.0ms (16.4% of total)

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

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

bsearch39.0ms (0.4%)

Memory

1.9MiB live, 81.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	9.052847705058556e+164	3.7394615336723035e+168
20.0ms	-1.74663720012087e+184	-8.474576878881341e+175

Samples

26.0ms

272×

valid

Compiler

Compiled 321 to 201 computations (37.4% saved)

Precisions

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

ival-sin: 9.0ms (47% of total)

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

ival-mult: 4.0ms (20.9% of total)

ival-add: 1.0ms (5.2% of total)

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

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

simplify10.0ms (0.1%)

Memory

-19.6MiB live, 19.1MiB 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	78	319
1	86	319

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -1000000000000000038893577551088388431307372492952020133343023820076912942893848967630799656078777013873264603119412132913531706114094375616540183672212689403544345862626169435445664558076559462193222406635520 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 55999999999999997473115937065279195973447105009688783705822507993993485720425602285394126815712537857529213947378725183146710598015314754031865659654144 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -360000000000000018607506635168131878489897932691740453764668112506866752747931464670556961852138150082510290357672906656705973797266014215627650092676951870721399874462254118221355433154364133755611471606373763182607292801885405184 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -3530822107858469/144115188075855872 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))))
(if (<=.f64 y #s(literal -2476979795053773/1125899906842624 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 1116892707587883/36028797018963968 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal -1249999999999999896388489384558670655757977130310797682820155507262692324755805327772526570613038278002660782045820293391641935389637748886335733558488376352256942581984936253718528 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 y x))) (if (<=.f64 x #s(literal 47999999999999998448905493584149146520395700015145092392815710308129766625293493661715599781319184686305864414433990977665685606315146234649173255018533928090680164352 binary64)) #s(approx (/ (+ (pow ( (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))

Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -1000000000000000038893577551088388431307372492952020133343023820076912942893848967630799656078777013873264603119412132913531706114094375616540183672212689403544345862626169435445664558076559462193222406635520 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 55999999999999997473115937065279195973447105009688783705822507993993485720425602285394126815712537857529213947378725183146710598015314754031865659654144 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -1000000000000000038893577551088388431307372492952020133343023820076912942893848967630799656078777013873264603119412132913531706114094375616540183672212689403544345862626169435445664558076559462193222406635520 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 55999999999999997473115937065279195973447105009688783705822507993993485720425602285394126815712537857529213947378725183146710598015314754031865659654144 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -360000000000000018607506635168131878489897932691740453764668112506866752747931464670556961852138150082510290357672906656705973797266014215627650092676951870721399874462254118221355433154364133755611471606373763182607292801885405184 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal -3530822107858469/144115188075855872 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))))
(if (<=.f64 y #s(literal -360000000000000018607506635168131878489897932691740453764668112506866752747931464670556961852138150082510290357672906656705973797266014215627650092676951870721399874462254118221355433154364133755611471606373763182607292801885405184 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal -3530822107858469/144115188075855872 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))))))
(if (<=.f64 y #s(literal -2476979795053773/1125899906842624 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 1116892707587883/36028797018963968 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -2476979795053773/1125899906842624 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 1116892707587883/36028797018963968 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal -1249999999999999896388489384558670655757977130310797682820155507262692324755805327772526570613038278002660782045820293391641935389637748886335733558488376352256942581984936253718528 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 y x))) (if (<=.f64 x #s(literal 47999999999999998448905493584149146520395700015145092392815710308129766625293493661715599781319184686305864414433990977665685606315146234649173255018533928090680164352 binary64)) #s(approx (/ (+ (pow ( (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))))
(if (<=.f64 x #s(literal -1249999999999999896388489384558670655757977130310797682820155507262692324755805327772526570613038278002660782045820293391641935389637748886335733558488376352256942581984936253718528 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) (if (<=.f64 x #s(literal 47999999999999998448905493584149146520395700015145092392815710308129766625293493661715599781319184686305864414433990977665685606315146234649173255018533928090680164352 binary64)) #s(approx (/ (+ (pow ( (cos y) z) 3) (pow (* (sin y) x) 3)) (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (* x x)) (* (- (* (cos y) z) (* (sin y) x)) (* (cos y) z)))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

soundness1.0s (10.6%)

Memory

33.5MiB live, 786.7MiB allocated

Rules

12 858×	`lower-fma.f64`
12 858×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
9 656×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8391	20
0	109	682
1	344	678
2	981	668
3	2637	662
4	4654	662
5	6949	662
0	8182	606
0	1063	11964
1	3913	11650
0	8435	10865
0	783	8609
1	2793	8311
0	8345	7941

Stop Event

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

Compiler

Compiled 326 to 151 computations (53.7% saved)

preprocess151.0ms (1.6%)

Memory: 1.5MiB live, 164.6MiB allocated
Compiler: Compiled 314 to 108 computations (65.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (15.2%)

explain132.0ms (1.4%)

preprocess45.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize36.0ms (0.4%)

series13.0ms (0.1%)

simplify166.0ms (1.8%)

rewrite272.0ms (2.9%)

eval34.0ms (0.4%)

prune106.0ms (1.1%)

simplify145.0ms (1.5%)

localize260.0ms (2.7%)

series143.0ms (1.5%)

simplify261.0ms (2.8%)

rewrite378.0ms (4%)

eval215.0ms (2.3%)

prune275.0ms (2.9%)

simplify149.0ms (1.6%)

localize406.0ms (4.3%)

series129.0ms (1.4%)

simplify210.0ms (2.2%)

rewrite290.0ms (3.1%)

eval401.0ms (4.2%)

prune297.0ms (3.1%)

simplify278.0ms (2.9%)

localize597.0ms (6.3%)

series140.0ms (1.5%)

simplify261.0ms (2.8%)

rewrite270.0ms (2.9%)

eval220.0ms (2.3%)

prune203.0ms (2.1%)

regimes112.0ms (1.2%)

regimes62.0ms (0.7%)

regimes79.0ms (0.8%)

regimes41.0ms (0.4%)

regimes50.0ms (0.5%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch38.0ms (0.4%)

bsearch46.0ms (0.5%)

bsearch39.0ms (0.4%)

bsearch39.0ms (0.4%)

simplify10.0ms (0.1%)

soundness1.0s (10.6%)

preprocess151.0ms (1.6%)

end0.0ms (0%)

Profiling