Metrics for Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, C

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.2s (16.1%)

Memory

34.1MiB live, 1 682.2MiB allocated

Samples

898.0ms	8 253×	0	valid
2.0ms	2×	3	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 633.0ms

ival-sin: 243.0ms (38.4% of total)

ival-cos: 197.0ms (31.1% of total)

ival-add: 118.0ms (18.6% of total)

ival-mult: 64.0ms (10.1% of total)

ival-true: 7.0ms (1.1% of total)

ival-assert: 4.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain114.0ms (1.6%)

Memory

-20.7MiB live, 187.6MiB 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

46.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-cos: 11.0ms (36.4% of total)

ival-sin: 11.0ms (36.4% of total)

ival-add: 5.0ms (16.5% of total)

ival-mult: 3.0ms (9.9% of total)

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

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

preprocess67.0ms (0.9%)

Memory

16.5MiB live, 53.8MiB allocated

Algorithm

1×	egg-herbie

Rules

334×	`sub-neg`
294×	`cancel-sign-sub-inv`
286×	`associate-+l-`
272×	`distribute-rgt-in`
236×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	92	82
2	234	81
3	588	81
4	1029	81
5	1414	81
6	1696	81
7	1888	81
8	1995	81
9	2055	81
10	2069	81
0	8	9
0	13	9
1	18	9
2	25	9
3	27	9
0	27	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 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

24×	`lower-+.f32`
20×	`lower-+.f64`
12×	`lower-fma.f64`
12×	`lower-fma.f32`
10×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	18	24
2	25	24
3	27	24
0	27	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)

localize43.0ms (0.6%)

Memory

10.1MiB live, 86.0MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

37.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-cos: 15.0ms (58.1% of total)

ival-sin: 6.0ms (23.3% of total)

ival-add: 2.0ms (7.8% of total)

ival-mult: 2.0ms (7.8% of total)

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

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

series10.0ms (0.1%)

Memory

-1.7MiB live, 37.4MiB 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 z) (/ (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 z) (/ (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 z) (/ (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 (+ x 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 (+ x (+ 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 (+ x (+ z (* y (+ 1 (* -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 (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) (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 (+ (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) (* 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 (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 (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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt 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) (* z (cos y))) x)) 1))) (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) (* z (cos y))) x)) 1))) (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) (* z (cos y))) x)) 1))) (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 (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (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
2.0ms	z	@	-inf	((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y))
1.0ms	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	y	@	0	((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y))

simplify132.0ms (1.8%)

Memory

-6.1MiB live, 154.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 712×	`lower-fma.f64`
11 712×	`lower-fma.f32`
3 160×	`lower-*.f64`
3 160×	`lower-*.f32`
2 322×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	647
1	310	643
2	846	633
3	2177	631
4	4214	631
5	7324	631
0	8046	578

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 101

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

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

rewrite161.0ms (2.2%)

Memory

-3.7MiB live, 188.4MiB allocated

Rules

4 470×	`lower-*.f32`
4 468×	`lower-*.f64`
4 404×	`lower-fma.f64`
4 404×	`lower-fma.f32`
2 454×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	43	21
2	362	21
3	5548	21
0	8320	20

Stop Event

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

Counts

5 → 172

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
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval55.0ms (0.8%)

Memory: -31.8MiB live, 81.0MiB allocated
Compiler: Compiled 5 953 to 603 computations (89.9% saved)

prune15.0ms (0.2%)

Memory

1.5MiB live, 40.6MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	258	15	273
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	259	15	274

Accuracy

100.0%

Counts

274 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
	83.2%	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
▶	57.1%	(+.f64 (+.f64 x #s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) y))) (.f64 z (cos.f64 y)))
▶	71.8%	(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y)))
	99.7%	(.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (.f64 (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 -1 binary64))))
	39.8%	(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 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 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))
	40.2%	(.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (.f64 x x)) #s(literal -1 binary64)))
	42.6%	(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
▶	54.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)))
	56.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
	58.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y)))
	61.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z))
	62.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
▶	63.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
	38.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))

Compiler

Compiled 446 to 302 computations (32.3% saved)

simplify26.0ms (0.4%)

Memory

0.9MiB live, 39.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

1 552×	`lower-fma.f32`
1 540×	`lower-fma.f64`
488×	`lower-+.f32`
476×	`lower-+.f64`
420×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	221
0	60	219
1	100	219
2	182	219
3	347	219
4	631	219
5	825	219
6	843	219
7	870	219
0	870	217

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize115.0ms (1.6%)

Memory

7.1MiB live, 127.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
accuracy	0.11328125	(*.f64 z (cos.f64 y))
accuracy	0.268218820539173	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
accuracy	30.749575417989565	#s(approx (sin y) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y))
accuracy	0	(+.f64 y x)
accuracy	0	(cos.f64 y)
accuracy	0.11328125	(*.f64 z (cos.f64 y))
accuracy	23.480965559171345	#s(approx (+ x (sin y)) (+.f64 y x))
accuracy	0.033535009768442016	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))
accuracy	0.046875	(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64))
accuracy	0.17578125	(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z))
accuracy	29.171457429052772	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)))
accuracy	0	(+.f64 z x)
accuracy	23.673682283713564	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
accuracy	0	(+.f64 (sin.f64 y) x)
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.0390625	(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))

Samples

70.0ms

256×

valid

Compiler

Compiled 170 to 33 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 14.0ms (27.5% of total)

ival-add: 13.0ms (25.5% of total)

const: 7.0ms (13.7% of total)

ival-cos: 6.0ms (11.8% of total)

ival-pow: 6.0ms (11.8% of total)

ival-sin: 5.0ms (9.8% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory

10.7MiB live, 48.7MiB allocated

Counts

19 → 468

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (+ (* (pow y 3) (+ (* 1/120 (* y y)) -1/6)) y) (+ (* 1/120 (* y y)) -1/6))
2.0ms	y	@	-inf	((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (+ (* (pow y 3) (+ (* 1/120 (* y y)) -1/6)) y) (+ (* 1/120 (* y y)) -1/6))
2.0ms	y	@	0	((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (+ (* (pow y 3) (+ (* 1/120 (* y y)) -1/6)) y) (+ (* 1/120 (* y y)) -1/6))
2.0ms	z	@	-inf	((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (+ (* (pow y 3) (+ (* 1/120 (* y y)) -1/6)) y) (+ (* 1/120 (* y y)) -1/6))
2.0ms	z	@	inf	((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (+ (* (pow y 3) (+ (* 1/120 (* y y)) -1/6)) y) (+ (* 1/120 (* y y)) -1/6))

simplify218.0ms (3.1%)

Memory

-8.3MiB live, 232.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 662×	`lower-fma.f64`
16 662×	`lower-fma.f32`
3 936×	`lower-*.f64`
3 936×	`lower-*.f32`
3 142×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	3896
1	751	3783
2	2295	3668
3	5594	3523
0	8558	3175

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 431

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

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

rewrite189.0ms (2.6%)

Memory

-4.9MiB live, 153.6MiB allocated

Rules

4 352×	`lower-/.f64`
4 352×	`lower-/.f32`
3 926×	`lower-*.f32`
3 920×	`lower-*.f64`
3 192×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	181
0	60	179
1	269	179
2	2210	179
0	8081	177

Stop Event

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

Counts

19 → 456

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

Outputs
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eval208.0ms (2.9%)

Memory: -2.8MiB live, 189.1MiB allocated
Compiler: Compiled 23 547 to 2 133 computations (90.9% saved)

prune59.0ms (0.8%)

Memory

0.3MiB live, 90.3MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	963	16	979
Fresh	5	5	10
Picked	3	2	5
Done	0	0	0
Total	971	23	994

Accuracy

100.0%

Counts

994 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
▶	71.8%	(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
	58.7%	(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
	83.2%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x))
	57.1%	(+.f64 (+.f64 x #s(approx (sin y) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y y)) y y))) (.f64 z (cos.f64 y)))
	53.9%	(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (.f64 z #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)))))
	55.7%	(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (.f64 z #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)))))
	39.8%	(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 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 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))
	40.2%	(.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (.f64 x x)) #s(literal -1 binary64)))
▶	89.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))))
▶	56.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
	54.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
	51.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)))
	48.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
	30.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
	30.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
▶	61.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x))
	62.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
✓	63.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
	38.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
▶	53.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y #s(literal 1 binary64)) x z)))
	54.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) #s(literal 1 binary64)) z x)))
	21.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)) z)))

Compiler

Compiled 652 to 466 computations (28.5% saved)

simplify152.0ms (2.1%)

Memory

-0.7MiB live, 112.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (+ (sin y) x) (+.f64 y x))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
cost-diff	0	(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y #s(literal 1 binary64)) x z))
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y #s(literal 1 binary64)) x z)))
cost-diff	896	(fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y #s(literal 1 binary64)) x z)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
cost-diff	0	(+.f64 z y)
cost-diff	0	(+.f64 (+.f64 z y) x)
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x))
cost-diff	0	(fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))))
cost-diff	320	(*.f64 #s(literal 1 binary64) (sin.f64 y))
cost-diff	896	(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))

Rules

10 674×	`lower-fma.f32`
10 656×	`lower-fma.f64`
3 084×	`lower-*.f32`
3 078×	`lower-*.f64`
2 464×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	308
0	75	298
1	124	298
2	196	298
3	391	298
4	839	288
5	1709	288
6	3532	288
7	6053	288
8	7021	288
9	7149	288
10	7210	288
11	7290	288
0	8074	277

Stop Event

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

Calls

Call 1

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

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

localize172.0ms (2.4%)

Memory

28.8MiB live, 112.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0	(cos.f64 y)
accuracy	0.0390625	(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
accuracy	23.480965559171345	#s(approx (+ (sin y) x) (+.f64 y x))
accuracy	0.5571002691114728	(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y #s(literal 1 binary64))
accuracy	1.909599572365212	(fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y #s(literal 1 binary64)) x z)
accuracy	5.712828859681877	(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x)
accuracy	29.171457429052772	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) y #s(literal 1 binary64)) x z)))
accuracy	0	(+.f64 z x)
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.029628759768442016	(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))
accuracy	27.55490864522783	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)))
accuracy	0	(+.f64 (+.f64 z y) x)
accuracy	0	(+.f64 z y)
accuracy	24.539653893798107	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x))
accuracy	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))))
accuracy	0.09765625	(fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64))
accuracy	0.12109375	(/.f64 (cos.f64 y) x)
accuracy	6.85805898525521	(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))

Samples

146.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 235 to 46 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-add: 72.0ms (56.6% of total)

ival-mult: 35.0ms (27.5% of total)

ival-sin: 6.0ms (4.7% of total)

ival-cos: 5.0ms (3.9% of total)

const: 4.0ms (3.1% of total)

ival-div: 4.0ms (3.1% of total)

adjust: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series107.0ms (1.5%)

Memory

-21.3MiB live, 52.9MiB allocated

Counts

22 → 648

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	z	@	-inf	((+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (* 1 (sin y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (/ (cos y) x) z) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) z) 1) (* -1/2 y) (+ (* (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) x) z) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ y x) (/ (cos y) x) (+ z x) (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x))
4.0ms	x	@	-inf	((+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (* 1 (sin y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (/ (cos y) x) z) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) z) 1) (* -1/2 y) (+ (* (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) x) z) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ y x) (/ (cos y) x) (+ z x) (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x))
3.0ms	x	@	0	((+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (* 1 (sin y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (/ (cos y) x) z) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) z) 1) (* -1/2 y) (+ (* (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) x) z) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ y x) (/ (cos y) x) (+ z x) (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x))
3.0ms	y	@	-inf	((+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (* 1 (sin y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (/ (cos y) x) z) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) z) 1) (* -1/2 y) (+ (* (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) x) z) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ y x) (/ (cos y) x) (+ z x) (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x))
3.0ms	z	@	0	((+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (* 1 (sin y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (/ (cos y) x) z) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) z) 1) (* -1/2 y) (+ (* (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) x) z) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ y x) (/ (cos y) x) (+ z x) (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x))

simplify259.0ms (3.6%)

Memory

19.3MiB live, 135.1MiB allocated

Algorithm

1×	egg-herbie

Rules

19 688×	`lower-fma.f64`
19 688×	`lower-fma.f32`
6 108×	`lower-*.f64`
6 108×	`lower-*.f32`
5 542×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	415	6672
1	1265	6519
2	3951	6340
0	8263	5735

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 602

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

rewrite362.0ms (5.1%)

Memory

7.5MiB live, 248.8MiB allocated

Rules

5 066×	`lower-*.f32`
5 060×	`lower-*.f64`
4 114×	`lower-fma.f32`
4 096×	`lower-fma.f64`
3 472×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	265
0	75	255
1	346	255
2	2785	255
0	8152	249

Stop Event

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

Counts

22 → 353

Calls

Call 1

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

Outputs
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eval269.0ms (3.8%)

Memory: -19.1MiB live, 299.0MiB allocated
Compiler: Compiled 19 609 to 2 210 computations (88.7% saved)

prune79.0ms (1.1%)

Memory

24.9MiB live, 101.9MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	954	14	968
Fresh	4	12	16
Picked	3	2	5
Done	0	2	2
Total	961	30	991

Accuracy

100.0%

Counts

991 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
✓	71.8%	(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
	58.7%	(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
	53.9%	(fma.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 (+ (sin y) x) (+.f64 y x)))
	55.7%	(fma.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 #s(approx (+ (sin y) x) (+.f64 y x)))
	83.2%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x))
	57.1%	(+.f64 (+.f64 x #s(approx (sin y) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y y)) y y))) (.f64 z (cos.f64 y)))
	39.8%	(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 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 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))
	40.2%	(.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (.f64 x x)) #s(literal -1 binary64)))
	89.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (sin.f64 y)))
▶	89.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))))
	54.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
▶	48.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
	30.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
	30.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
✓	61.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x))
	62.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
	59.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x))
✓	63.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
▶	38.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
	28.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y)))
▶	41.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 y x)))
	58.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (fma.f64 (/.f64 z x) x x)))
	61.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 #s(approx (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)) x z)))
	50.9%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 #s(approx (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) (.f64 (/.f64 (.f64 z y) x) #s(literal -1/2 binary64))) y #s(literal 1 binary64)) x z)))
	54.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) #s(literal 1 binary64)) z x)))
▶	21.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 #s(approx (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (.f64 (/.f64 (.f64 (*.f64 z y) y) x) #s(literal -1/2 binary64))) x z)))
	21.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)))
	7.8%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (.f64 (fma.f64 (.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)))
	2.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (.f64 (.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))

Compiler

Compiled 752 to 563 computations (25.1% saved)

simplify227.0ms (3.2%)

Memory

-3.9MiB live, 119.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
cost-diff	0	#s(approx (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (.f64 (/.f64 (.f64 (*.f64 z y) y) x) #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 #s(approx (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (.f64 (/.f64 (.f64 (*.f64 z y) y) x) #s(literal -1/2 binary64))) x z)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 #s(approx (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (.f64 (/.f64 (.f64 (*.f64 z y) y) x) #s(literal -1/2 binary64))) x z))
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 #s(approx (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (.f64 (/.f64 (.f64 (*.f64 z y) y) x) #s(literal -1/2 binary64))) x z)))
cost-diff	0	(.f64 (.f64 y y) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (+ (+ z y) x) (+.f64 y x))
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 y x)))
cost-diff	0	(fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))))
cost-diff	320	(*.f64 #s(literal 1 binary64) (sin.f64 y))
cost-diff	896	(fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))

Rules

10 702×	`lower-fma.f32`
10 694×	`lower-fma.f64`
6 236×	`lower-*.f32`
6 222×	`lower-*.f64`
2 360×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	390
0	74	384
1	127	384
2	204	384
3	378	384
4	866	380
5	1432	380
6	1777	380
7	2593	380
8	3147	380
9	3368	380
10	3407	380
11	3431	380
12	3466	380
13	3511	380
14	3921	380
15	4815	380
16	5914	380
17	7343	380
0	8037	349

Stop Event

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

Calls

Call 1

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

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

localize185.0ms (2.6%)

Memory

-21.5MiB live, 176.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.11328125	(*.f64 (cos.f64 y) z)
accuracy	39.398247319217425	#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
accuracy	1.909599572365212	(fma.f64 #s(approx (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (.f64 (/.f64 (.f64 (*.f64 z y) y) x) #s(literal -1/2 binary64))) x z)
accuracy	8.336985673223062	(/.f64 (.f64 (.f64 z y) y) x)
accuracy	29.171457429052772	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 #s(approx (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (.f64 (/.f64 (.f64 (*.f64 z y) y) x) #s(literal -1/2 binary64))) x z)))
accuracy	47.20781721553367	#s(approx (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (.f64 (/.f64 (.f64 (*.f64 z y) y) x) #s(literal -1/2 binary64)))
accuracy	0.033535009768442016	(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))
accuracy	0.16796875	(.f64 (.f64 y y) #s(literal -1/6 binary64))
accuracy	29.171457429052772	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
accuracy	39.1156035530105	#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
accuracy	0	(+.f64 y x)
accuracy	19.810024857417705	#s(approx (+ (+ z y) x) (+.f64 y x))
accuracy	24.539653893798107	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 y x)))
accuracy	0	(cos.f64 y)
accuracy	0	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))))
accuracy	0.05859375	(fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64))
accuracy	6.85805898525521	(fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))

Samples

146.0ms

256×

valid

Compiler

Compiled 229 to 45 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-div: 53.0ms (41.5% of total)

ival-add: 33.0ms (25.9% of total)

ival-mult: 25.0ms (19.6% of total)

ival-sin: 6.0ms (4.7% of total)

ival-cos: 6.0ms (4.7% of total)

const: 4.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series92.0ms (1.3%)

Memory

-1.5MiB live, 117.5MiB allocated

Counts

19 → 576

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
15.0ms	x	@	0	((+ (* (+ (* (cos y) (/ z x)) 1) x) (* 1 (sin y))) (* 1 (sin y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) (/ z x)) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* y y) -1/6) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) x) z) (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (+ (+ x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (/ (* (* z y) y) x))
3.0ms	x	@	-inf	((+ (* (+ (* (cos y) (/ z x)) 1) x) (* 1 (sin y))) (* 1 (sin y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) (/ z x)) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* y y) -1/6) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) x) z) (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (+ (+ x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (/ (* (* z y) y) x))
2.0ms	z	@	-inf	((+ (* (+ (* (cos y) (/ z x)) 1) x) (* 1 (sin y))) (* 1 (sin y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) (/ z x)) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* y y) -1/6) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) x) z) (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (+ (+ x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (/ (* (* z y) y) x))
2.0ms	z	@	0	((+ (* (+ (* (cos y) (/ z x)) 1) x) (* 1 (sin y))) (* 1 (sin y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) (/ z x)) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* y y) -1/6) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) x) z) (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (+ (+ x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (/ (* (* z y) y) x))
2.0ms	z	@	inf	((+ (* (+ (* (cos y) (/ z x)) 1) x) (* 1 (sin y))) (* 1 (sin y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) (/ z x)) 1) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* y y) -1/6) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) x) z) (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (+ (+ x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (/ (* (* z y) y) x))

simplify208.0ms (2.9%)

Memory

26.7MiB live, 258.9MiB allocated

Algorithm

1×	egg-herbie

Rules

15 398×	`lower-fma.f64`
15 398×	`lower-fma.f32`
5 388×	`lower-*.f64`
5 388×	`lower-*.f32`
4 456×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	343	6274
1	1034	6088
2	3326	5941
0	8036	5373

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 544

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

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

rewrite164.0ms (2.3%)

Memory

-13.2MiB live, 266.8MiB allocated

Rules

4 546×	`lower-/.f32`
4 542×	`lower-/.f64`
4 122×	`lower-*.f32`
4 108×	`lower-*.f64`
3 442×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	344
0	74	338
1	320	338
2	2447	338
0	8212	309

Stop Event

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

Counts

19 → 202

Calls

Call 1

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

Outputs
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eval126.0ms (1.8%)

Memory: 13.2MiB live, 291.6MiB allocated
Compiler: Compiled 12 798 to 1 467 computations (88.5% saved)

prune52.0ms (0.7%)

Memory

8.3MiB live, 166.8MiB allocated

Pruning

32 alts after pruning (24 fresh and 8 done)

	Pruned	Kept	Total
New	752	7	759
Fresh	4	17	21
Picked	1	4	5
Done	0	4	4
Total	757	32	789

Accuracy

100.0%

Counts

789 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
✓	71.8%	(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))
	58.7%	(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y)))
	83.2%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (+.f64 (sin.f64 y) x))
	57.1%	(+.f64 (+.f64 x #s(approx (sin y) (fma.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y y)) y y))) (.f64 z (cos.f64 y)))
	39.8%	(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 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 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))
	40.2%	(.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (.f64 x x)) #s(literal -1 binary64)))
	89.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (sin.f64 y)))
	89.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (/.f64 z x) (cos.f64 y) #s(literal 1 binary64)) x (sin.f64 y)))
	54.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)))
✓	48.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x)))
	30.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x)))
	30.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))))
✓	61.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x))
	62.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x))
	59.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) x))
✓	63.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))
✓	38.4%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
	21.5%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (.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))
	21.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (.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))
	21.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64))) z))
	23.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	28.1%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y)))
✓	41.2%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 y x)))
	58.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (/ (cos y) x) z) 1) x) (* 1 (sin y))) (fma.f64 (/.f64 z x) x x)))
	61.3%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 #s(approx (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)) x z)))
	54.0%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) #s(literal 1 binary64)) z x)))
✓	21.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 #s(approx (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (.f64 (/.f64 (.f64 (*.f64 z y) y) x) #s(literal -1/2 binary64))) x z)))
	21.6%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 #s(approx (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (*.f64 z y) y))) #s(literal -1/2 binary64))) x z)))
	20.8%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 #s(approx (+ (* (/ (+ (* (+ (* -1/2 z) (* -1/6 y)) y) 1) x) y) 1) (.f64 (.f64 y (/.f64 (*.f64 z y) x)) #s(literal -1/2 binary64))) x z)))
	7.8%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (.f64 (fma.f64 (.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)))
	2.7%	#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (.f64 (.f64 (*.f64 z y) y) #s(literal -1/2 binary64))))

Compiler

Compiled 1 113 to 533 computations (52.1% saved)

regimes75.0ms (1%)

Memory

0.0MiB live, 232.9MiB allocated

Counts

53 → 1

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
19.0ms	z
16.0ms	y
15.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes68.0ms (1%)

Memory

14.3MiB live, 134.9MiB allocated

Counts

42 → 3

Calls

Call 1

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

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

29.0ms	y
13.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
12.0ms	z
12.0ms	x

Results

Accuracy	Segments	Branch
91.9%	3	`x`
86.7%	2	`y`
94.4%	3	`z`
89.5%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes30.0ms (0.4%)

Memory

2.2MiB live, 41.5MiB allocated

Counts

36 → 3

Calls

Call 1

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

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

1 calls:

28.0ms

Results

Accuracy	Segments	Branch
92.9%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes48.0ms (0.7%)

Memory

-11.5MiB live, 119.7MiB allocated

Counts

35 → 3

Calls

Call 1

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

Calls

4 calls:

13.0ms	z
12.0ms	x
11.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
10.0ms	y

Results

Accuracy	Segments	Branch
86.8%	6	`y`
82.9%	5	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
76.2%	4	`x`
87.0%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes23.0ms (0.3%)

Memory

-23.0MiB live, 61.3MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

(fma.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 (+ (sin y) x) (+.f64 y x)))

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

Calls

2 calls:

11.0ms	y
10.0ms	z

Results

Accuracy	Segments	Branch
81.9%	3	`y`
79.0%	3	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes42.0ms (0.6%)

Memory

-4.9MiB live, 112.9MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

10.0ms	x
10.0ms	y
10.0ms	z
9.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

Results

Accuracy	Segments	Branch
68.4%	3	`x`
63.0%	1	`z`
69.0%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
69.1%	3	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
69.0%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.2%)

Memory

-11.6MiB live, 29.7MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	y
5.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

Results

Accuracy	Segments	Branch
68.9%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
68.9%	3	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes8.0ms (0.1%)

Memory

-16.8MiB live, 22.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms	y

Results

Accuracy	Segments	Branch
66.8%	3	`x`
63.0%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
63.0%	1	`y`

Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes7.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
52.1%	3	`z`
44.4%	3	`y`
41.2%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
52.6%	3	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0.1%)

Memory

-24.6MiB live, 14.9MiB 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 (+ (+ z y) x) (+.f64 y x)))

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

Calls

3 calls:

2.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
41.2%	1	`y`
41.2%	1	`z`
41.2%	1	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

bsearch41.0ms (0.6%)

Memory

31.9MiB live, 111.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.910022812453235e+60	1.8168317336656256e+66
19.0ms	-2.5908099341704903e+79	-1.750609516476859e+70

Samples

27.0ms

288×

valid

Compiler

Compiled 273 to 311 computations (-13.9% saved)

Precisions

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

ival-sin: 7.0ms (35.7% of total)

ival-cos: 6.0ms (30.6% of total)

ival-add: 4.0ms (20.4% of total)

ival-mult: 2.0ms (10.2% of total)

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

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

bsearch25.0ms (0.4%)

Memory

-21.9MiB live, 55.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.910022812453235e+60	1.8168317336656256e+66
23.0ms	-1.6685169727839428e+104	-5.981581028218132e+93

Samples

16.0ms	159×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 259 to 318 computations (-22.8% saved)

Precisions

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

ival-cos: 5.0ms (39.4% of total)

ival-add: 3.0ms (23.6% of total)

ival-sin: 3.0ms (23.6% of total)

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

adjust: 0.0ms (0% of total)

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

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

bsearch30.0ms (0.4%)

Memory

-4.0MiB live, 80.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.910022812453235e+60	1.8168317336656256e+66
20.0ms	-1.750609516476859e+70	-2.19564381476417e+53

Samples

20.0ms

208×

valid

Compiler

Compiled 202 to 280 computations (-38.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sin: 6.0ms (44.2% of total)

ival-cos: 3.0ms (22.1% of total)

ival-add: 2.0ms (14.7% of total)

ival-mult: 1.0ms (7.4% of total)

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

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

bsearch35.0ms (0.5%)

Memory

5.9MiB live, 83.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.658340344901663e+35	2.1615544263185553e+36
18.0ms	-0.002944840109449972	-3.836160709713303e-15

Samples

21.0ms

256×

valid

Compiler

Compiled 460 to 382 computations (17% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sin: 5.0ms (36.1% of total)

ival-cos: 4.0ms (28.9% of total)

ival-add: 2.0ms (14.4% of total)

ival-mult: 2.0ms (14.4% of total)

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

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

bsearch68.0ms (1%)

Memory

14.2MiB live, 94.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	1.6379813887739312	5.910397071252442
23.0ms	-28540391588.94693	-0.002944840109449972

Samples

56.0ms

240×

valid

Compiler

Compiled 297 to 299 computations (-0.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-cos: 37.0ms (74.5% of total)

ival-sin: 8.0ms (16.1% of total)

ival-add: 2.0ms (4% of total)

ival-mult: 2.0ms (4% of total)

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

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

bsearch76.0ms (1.1%)

Memory

-0.4MiB live, 115.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	7.163554551357858e-10	0.1254477055715591
57.0ms	-2.440977095712486e+29	-6.679726239808904e+22

Samples

59.0ms

288×

valid

Compiler

Compiled 318 to 338 computations (-6.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 35.0ms (67.2% of total)

ival-sin: 7.0ms (13.4% of total)

ival-cos: 6.0ms (11.5% of total)

ival-add: 5.0ms (9.6% of total)

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

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

bsearch30.0ms (0.4%)

Memory

-8.1MiB live, 69.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.163554551357858e-10	0.1254477055715591
28.0ms	-7.2916542674903694e+78	-7.464451911974522e+70

Samples

22.0ms

144×

valid

Compiler

Compiled 192 to 248 computations (-29.2% saved)

Precisions

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

ival-sin: 9.0ms (48.5% of total)

ival-cos: 7.0ms (37.7% of total)

ival-add: 1.0ms (5.4% of total)

ival-mult: 1.0ms (5.4% of total)

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

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

bsearch32.0ms (0.5%)

Memory

19.2MiB live, 97.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9.266609239210886e-47	7.365652341515222e-46
17.0ms	-3.944423324003217e-76	-4.612977204141747e-80

Samples

22.0ms

224×

valid

Compiler

Compiled 138 to 196 computations (-42% saved)

Precisions

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

ival-sin: 7.0ms (43.9% of total)

ival-cos: 5.0ms (31.4% of total)

ival-add: 2.0ms (12.5% of total)

ival-mult: 2.0ms (12.5% of total)

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

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

bsearch46.0ms (0.6%)

Memory

-25.2MiB live, 58.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	3.978939746397903e+80	5.452677540740469e+87
13.0ms	-2.8486521699381002e+69	-7.591119707449266e+68

Samples

22.0ms

224×

valid

Compiler

Compiled 152 to 210 computations (-38.2% saved)

Precisions

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

ival-sin: 5.0ms (37.5% of total)

ival-cos: 4.0ms (30% of total)

ival-add: 2.0ms (15% of total)

ival-mult: 1.0ms (7.5% of total)

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

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

simplify52.0ms (0.7%)

Memory

26.6MiB live, 66.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative-binary64-+.f64`
6×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	520
1	116	520

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -2000000000000000016987242867379405952297739849197521231789998205405593811812352 binary64)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) (if (<=.f64 z #s(literal 14000000000000001175386848530903307134428509827521321048400199680 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 -144999999999999992320601104874940692265197523104319400009858096859346522962154739323827288840152138383360 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 14000000000000001175386848530903307134428509827521321048400199680 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 -850000000000000015505454305766037746453365140137967616 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 10800000000000000697941049247996420046032731478904587715061219328 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 270000000000000002599134935604264960 binary64)) (fma.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 (+ (sin y) x) (+.f64 y x))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 (sin.f64 y) x))))
(if (<=.f64 y #s(literal -5 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 2589569785738035/562949953421312 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -1080000000000000003355443200 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 1/8 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -6000000000000000055129724154434973884080183724602454195661958631340900352 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 1/8 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 x #s(literal -6274461918017673/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 4113761393303015/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 x #s(literal -1499999999999999917235211964057745394444183220681134980934924960268288 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 y x))) (if (<=.f64 x #s(literal 400000000000000000106439458833469106149609604724803236392527909813959035665252352 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 y x)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.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 -2000000000000000016987242867379405952297739849197521231789998205405593811812352 binary64)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) (if (<=.f64 z #s(literal 14000000000000001175386848530903307134428509827521321048400199680 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 -2000000000000000016987242867379405952297739849197521231789998205405593811812352 binary64)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) (if (<=.f64 z #s(literal 14000000000000001175386848530903307134428509827521321048400199680 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 z #s(literal -144999999999999992320601104874940692265197523104319400009858096859346522962154739323827288840152138383360 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 14000000000000001175386848530903307134428509827521321048400199680 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 -144999999999999992320601104874940692265197523104319400009858096859346522962154739323827288840152138383360 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 14000000000000001175386848530903307134428509827521321048400199680 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 z #s(literal -850000000000000015505454305766037746453365140137967616 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 10800000000000000697941049247996420046032731478904587715061219328 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -850000000000000015505454305766037746453365140137967616 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 10800000000000000697941049247996420046032731478904587715061219328 binary64)) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 x (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 270000000000000002599134935604264960 binary64)) (fma.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 (+ (sin y) x) (+.f64 y x))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 (sin.f64 y) x))))
(if (<=.f64 y #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 270000000000000002599134935604264960 binary64)) (fma.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 (+ (sin y) x) (+.f64 x y))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 x (sin.f64 y)))))
(if (<=.f64 y #s(literal -5 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 2589569785738035/562949953421312 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -5 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 2589569785738035/562949953421312 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 x z))))
(if (<=.f64 y #s(literal -1080000000000000003355443200 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 1/8 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -1080000000000000003355443200 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 1/8 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) ( z (cos y))) (+.f64 x z))))
(if (<=.f64 y #s(literal -6000000000000000055129724154434973884080183724602454195661958631340900352 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 1/8 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 y #s(literal -6000000000000000055129724154434973884080183724602454195661958631340900352 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 1/8 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
(if (<=.f64 x #s(literal -6274461918017673/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 4113761393303015/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x))))
(if (<=.f64 x #s(literal -6274461918017673/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 x #s(literal 4113761393303015/25711008708143844408671393477458601640355247900524685364822016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z))))
(if (<=.f64 x #s(literal -1499999999999999917235211964057745394444183220681134980934924960268288 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 y x))) (if (<=.f64 x #s(literal 400000000000000000106439458833469106149609604724803236392527909813959035665252352 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 y x)))))
(if (<=.f64 x #s(literal -1499999999999999917235211964057745394444183220681134980934924960268288 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 x y))) (if (<=.f64 x #s(literal 400000000000000000106439458833469106149609604724803236392527909813959035665252352 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 x y)))))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 y x)))
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 x y)))

soundness1.3s (17.7%)

Memory

-25.5MiB live, 931.2MiB allocated

Rules

19 688×	`lower-fma.f64`
19 688×	`lower-fma.f32`
16 662×	`lower-fma.f64`
16 662×	`lower-fma.f32`
11 712×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	43	21
2	362	21
3	5548	21
0	8320	20
0	415	6672
1	1265	6519
2	3951	6340
0	8263	5735
0	109	647
1	310	643
2	846	633
3	2177	631
4	4214	631
5	7324	631
0	8046	578
0	256	3896
1	751	3783
2	2295	3668
3	5594	3523
0	8558	3175

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 530 to 308 computations (41.9% saved)

preprocess73.0ms (1%)

Memory: 8.7MiB live, 166.0MiB allocated
Compiler: Compiled 534 to 204 computations (61.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	35	221
0	60	219
1	100	219
2	182	219
3	347	219
4	631	219
5	825	219
6	843	219
7	870	219
0	870	217

Iter	Nodes	Cost
0	35	221
0	60	219
1	100	219
2	182	219
3	347	219
4	631	219
5	825	219
6	843	219
7	870	219
0	870	217

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (16.1%)

explain114.0ms (1.6%)

preprocess67.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize43.0ms (0.6%)

series10.0ms (0.1%)

simplify132.0ms (1.8%)

rewrite161.0ms (2.2%)

eval55.0ms (0.8%)

prune15.0ms (0.2%)

simplify26.0ms (0.4%)

localize115.0ms (1.6%)

series31.0ms (0.4%)

simplify218.0ms (3.1%)

rewrite189.0ms (2.6%)

eval208.0ms (2.9%)

prune59.0ms (0.8%)

simplify152.0ms (2.1%)

localize172.0ms (2.4%)

series107.0ms (1.5%)

simplify259.0ms (3.6%)

rewrite362.0ms (5.1%)

eval269.0ms (3.8%)

prune79.0ms (1.1%)

simplify227.0ms (3.2%)

localize185.0ms (2.6%)

series92.0ms (1.3%)

simplify208.0ms (2.9%)

rewrite164.0ms (2.3%)

eval126.0ms (1.8%)

prune52.0ms (0.7%)

regimes75.0ms (1%)

regimes68.0ms (1%)

regimes30.0ms (0.4%)

regimes48.0ms (0.7%)

regimes23.0ms (0.3%)

regimes42.0ms (0.6%)

regimes7.0ms (0.1%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch41.0ms (0.6%)

bsearch25.0ms (0.4%)

bsearch30.0ms (0.4%)

bsearch35.0ms (0.5%)

bsearch68.0ms (1%)

bsearch76.0ms (1.1%)

bsearch30.0ms (0.4%)

bsearch32.0ms (0.5%)

bsearch46.0ms (0.6%)

simplify52.0ms (0.7%)

soundness1.3s (17.7%)

preprocess73.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	35	221
0	60	219
1	100	219
2	182	219
3	347	219
4	631	219
5	825	219
6	843	219
7	870	219
0	870	217