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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (15.1%)

Memory

32.3MiB live, 1 218.2MiB allocated

Samples

968.0ms	8 254×	0	valid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 685.0ms

ival-cos: 271.0ms (39.6% of total)

ival-sin: 252.0ms (36.8% of total)

ival-add: 64.0ms (9.3% of total)

ival-mult: 55.0ms (8% of total)

ival-sub: 34.0ms (5% of total)

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

ival-assert: 3.0ms (0.4% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain174.0ms (2%)

Memory

-5.6MiB live, 157.0MiB allocated

FPErrors

Click to see full error table

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

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

70.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-cos: 34.0ms (63.1% of total)

ival-sin: 11.0ms (20.4% of total)

ival-mult: 3.0ms (5.6% of total)

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

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

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

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

preprocess71.0ms (0.8%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Rules

400×	`lower-fma.f64`
400×	`lower-fma.f32`
358×	`sub-neg`
352×	`cancel-sign-sub-inv`
302×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	101	84
2	248	83
3	583	83
4	1151	83
5	1530	83
6	1814	83
7	2069	83
8	2092	83
0	8	9
0	13	9
1	22	9
2	42	9
3	66	9
4	97	9
5	151	9
6	264	9
7	398	9
8	480	9
9	528	9
10	558	9
0	558	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify36.0ms (0.4%)

Memory

-28.2MiB live, 14.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

400×	`lower-fma.f64`
400×	`lower-fma.f32`
160×	`lower-*.f32`
158×	`lower-*.f64`
120×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	22	24
2	42	24
3	66	24
4	97	24
5	151	24
6	264	24
7	398	24
8	480	24
9	528	24
10	558	24
0	558	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (0.6%)

Memory

7.2MiB live, 42.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.0078125	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy	0.0078125	(+.f64 x (cos.f64 y))
accuracy	0.109375	(*.f64 z (sin.f64 y))

Samples

47.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-cos: 30.0ms (76.1% of total)

ival-sin: 5.0ms (12.7% of total)

ival-mult: 2.0ms (5.1% of total)

ival-sub: 1.0ms (2.5% of total)

ival-add: 1.0ms (2.5% of total)

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

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

series9.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

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

simplify179.0ms (2.1%)

Memory

-31.8MiB live, 101.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 746×	`lower-fma.f64`
10 746×	`lower-fma.f32`
3 588×	`lower-*.f64`
3 588×	`lower-*.f32`
2 024×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	612
1	287	607
2	770	605
3	2083	601
4	4366	601
5	6335	601
0	8451	579

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 92

Calls

Call 1

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

Outputs
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1 (* y z))))
(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) x) #s(literal 1 binary64))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(fma.f64 (.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)) y) y (+.f64 #s(literal 1 binary64) x))
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))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 z (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 (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(fma.f64 (pow.f64 y #s(literal 5 binary64)) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(- (cos y) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(cos y)
(cos.f64 y)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
x
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)

rewrite194.0ms (2.2%)

Memory

19.1MiB live, 174.7MiB allocated

Rules

4 620×	`lower-*.f32`
4 618×	`lower-*.f64`
4 548×	`lower-fma.f64`
4 548×	`lower-fma.f32`
2 418×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	47	19
2	388	19
3	5630	19
0	8225	19

Stop Event

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

Counts

4 → 187

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval103.0ms (1.2%)

Memory: -10.0MiB live, 62.9MiB allocated
Compiler: Compiled 6 790 to 635 computations (90.6% saved)

prune33.0ms (0.4%)

Memory

0.7MiB live, 38.3MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	266	13	279
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	267	13	280

Accuracy

100.0%

Counts

280 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
	68.5%	(-.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (.f64 x x))) (.f64 z (sin.f64 y)))
	60.4%	(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 z (sin.f64 y)))
▶	88.0%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
	60.6%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
▶	99.7%	(.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
	65.9%	(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #s(literal -1 binary64)))
▶	54.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
	55.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
	64.1%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
	70.9%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
▶	59.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
	31.0%	#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))

Compiler

Compiled 342 to 266 computations (22.2% saved)

simplify347.0ms (4%)

Memory

23.3MiB live, 458.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
cost-diff	0	(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y)
cost-diff	0	(-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z)
cost-diff	0	(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))
cost-diff	6080	(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
cost-diff	27776	(.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))

Rules

37 336×	`lower-fma.f32`
37 328×	`lower-fma.f64`
4 894×	`lower-*.f32`
4 884×	`lower-*.f64`
3 748×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	263
0	60	319
1	105	309
2	238	237
3	1031	237
4	3250	237
0	8524	237

Stop Event

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

Calls

Call 1

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

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

localize102.0ms (1.2%)

Memory

2.2MiB live, 198.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(+.f64 (cos.f64 y) x)
accuracy	0.02734375	(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
accuracy	0.1015625	(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy	0.19140625	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
accuracy	0.0078125	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
accuracy	0.0078125	(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy	0.109375	(*.f64 z (sin.f64 y))
accuracy	27.761454925196322	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.01953125	(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))
accuracy	0.07421875	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y)
accuracy	0.13671875	(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64))
accuracy	29.059542943066425	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
accuracy	0	(+.f64 #s(literal 1 binary64) x)
accuracy	26.132111031896223	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
accuracy	0.02734375	(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
accuracy	0.03515625	(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))
accuracy	0.09765625	(pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy	0.1953125	(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))

Samples

75.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 255 to 33 computations (87.1% saved)

Precisions

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

ival-mult: 17.0ms (31.7% of total)

ival-add: 9.0ms (16.8% of total)

ival-pow: 7.0ms (13.1% of total)

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

ival-cos: 5.0ms (9.3% of total)

const: 4.0ms (7.5% of total)

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

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

ival-neg: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series64.0ms (0.7%)

Memory

15.9MiB live, 127.4MiB allocated

Counts

21 → 588

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	z	@	inf	((* (+ (* (sin y) z) (+ (cos y) x)) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1))) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1)) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (* (+ (* 1/6 (* z y)) -1/2) y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* 1/6 (* z y)) -1/2) (+ (cos y) x))
6.0ms	y	@	-inf	((* (+ (* (sin y) z) (+ (cos y) x)) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1))) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1)) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (* (+ (* 1/6 (* z y)) -1/2) y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* 1/6 (* z y)) -1/2) (+ (cos y) x))
6.0ms	x	@	0	((* (+ (* (sin y) z) (+ (cos y) x)) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1))) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1)) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (* (+ (* 1/6 (* z y)) -1/2) y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* 1/6 (* z y)) -1/2) (+ (cos y) x))
3.0ms	y	@	inf	((* (+ (* (sin y) z) (+ (cos y) x)) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1))) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1)) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (* (+ (* 1/6 (* z y)) -1/2) y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* 1/6 (* z y)) -1/2) (+ (cos y) x))
3.0ms	z	@	-inf	((* (+ (* (sin y) z) (+ (cos y) x)) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1))) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1)) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* (+ (* 1/6 (* z y)) -1/2) y) z) y) (+ 1 x)) (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (* (+ (* 1/6 (* z y)) -1/2) y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* 1/6 (* z y)) -1/2) (+ (cos y) x))

simplify256.0ms (2.9%)

Memory

-6.3MiB live, 331.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 574×	`lower-fma.f64`
7 574×	`lower-fma.f32`
5 102×	`lower-*.f64`
5 102×	`lower-*.f32`
3 834×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	743	7824
1	2344	7484
2	7512	7463
0	8069	7111

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 565

Calls

Call 1

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

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

rewrite173.0ms (2%)

Memory

-6.6MiB live, 309.9MiB allocated

Rules

4 486×	`lower-/.f32`
4 484×	`lower-/.f64`
3 850×	`lower-*.f32`
3 840×	`lower-*.f64`
3 192×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	213
0	60	249
1	259	187
2	2095	187
0	8566	187

Stop Event

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

Counts

21 → 931

Calls

Call 1

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

Outputs
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eval523.0ms (6%)

Memory: 16.8MiB live, 647.2MiB allocated
Compiler: Compiled 63 600 to 4 371 computations (93.1% saved)

prune193.0ms (2.2%)

Memory

-23.8MiB live, 175.5MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	2 010	18	2 028
Fresh	5	3	8
Picked	3	2	5
Done	0	0	0
Total	2 018	23	2 041

Accuracy

100.0%

Counts

2 041 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.9%	(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64))
	40.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
	30.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
	60.4%	(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 z (sin.f64 y)))
✓	88.0%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
▶	54.6%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
▶	99.8%	(-.f64 #s(approx (+ x (cos y)) (fma.f64 (/.f64 (cos.f64 y) x) x x)) (*.f64 z (sin.f64 y)))
▶	60.6%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
	60.1%	(.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	30.5%	(.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 #s(approx (+ (* (sin y) z) (+ (cos y) x)) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))))
	54.0%	(.f64 (-.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
	55.8%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
	64.1%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)))
	70.9%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x))
	31.0%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
	56.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (.f64 (.f64 z y) #s(literal 1/6 binary64))) y) z) y (+.f64 #s(literal 1 binary64) x)))
	56.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
	45.4%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
	45.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
▶	37.7%	#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
	64.1%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
✓	59.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
▶	21.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

Compiler

Compiled 551 to 459 computations (16.7% saved)

simplify239.0ms (2.7%)

Memory

-6.4MiB live, 248.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	(cos.f64 y)
cost-diff	0	#s(approx (+ x (cos y)) (cos.f64 y))
cost-diff	0	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
cost-diff	0	#s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff	128	(-.f64 (*.f64 x x) #s(literal 1 binary64))
cost-diff	1088	(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ 1 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (cos.f64 y) x)
cost-diff	0	#s(approx (+ x (cos y)) (fma.f64 (/.f64 (cos.f64 y) x) x x))
cost-diff	0	(-.f64 #s(approx (+ x (cos y)) (fma.f64 (/.f64 (cos.f64 y) x) x x)) (*.f64 z (sin.f64 y)))
cost-diff	896	(fma.f64 (/.f64 (cos.f64 y) x) x x)

Rules

13 600×	`lower-fma.f32`
13 594×	`lower-fma.f64`
2 874×	`lower-*.f32`
2 864×	`lower-*.f64`
2 494×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	250
0	60	250
1	114	250
2	216	239
3	444	226
4	837	226
5	1499	226
6	3780	226
0	8300	222

Stop Event

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

Calls

Call 1

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

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

localize174.0ms (2%)

Memory

15.4MiB live, 214.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.0078125	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy	0.109375	(*.f64 z (sin.f64 y))
accuracy	30.83413112772901	#s(approx (+ x (cos y)) (cos.f64 y))
accuracy	0.26694275368481307	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
accuracy	5.3751951007946355	(.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)))
accuracy	27.761454925196322	#s(approx (cos y) #s(literal 1 binary64))
accuracy	30.203720110811176	#s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))
accuracy	0	(-.f64 x #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	14.47823295793529	(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	26.132111031896223	#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy	26.132111031896223	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
accuracy	30.93506583839168	#s(approx (+ 1 x) #s(literal 1 binary64))
accuracy	0.0078125	(-.f64 #s(approx (+ x (cos y)) (fma.f64 (/.f64 (cos.f64 y) x) x x)) (*.f64 z (sin.f64 y)))
accuracy	0.109375	(*.f64 z (sin.f64 y))
accuracy	0.125	(fma.f64 (/.f64 (cos.f64 y) x) x x)
accuracy	0.12890625	(/.f64 (cos.f64 y) x)

Samples

154.0ms

256×

valid

Compiler

Compiled 181 to 28 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-cos: 24.0ms (32.8% of total)

ival-add: 18.0ms (24.6% of total)

ival-mult: 12.0ms (16.4% of total)

const: 6.0ms (8.2% of total)

ival-sin: 5.0ms (6.8% of total)

ival-div: 3.0ms (4.1% of total)

ival-sub: 3.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.6%)

Memory

7.8MiB live, 46.7MiB allocated

Counts

21 → 468

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	z	@	inf	((+ (* (/ (cos y) x) x) x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (/ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- x 1) (* z (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6))
2.0ms	x	@	-inf	((+ (* (/ (cos y) x) x) x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (/ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- x 1) (* z (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6))
2.0ms	z	@	0	((+ (* (/ (cos y) x) x) x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (/ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- x 1) (* z (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6))
2.0ms	x	@	inf	((+ (* (/ (cos y) x) x) x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (/ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- x 1) (* z (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6))
2.0ms	z	@	-inf	((+ (* (/ (cos y) x) x) x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (/ (cos y) x) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- x 1) (* z (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6))

simplify192.0ms (2.2%)

Memory

-25.8MiB live, 216.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 940×	`lower-fma.f64`
11 940×	`lower-fma.f32`
4 330×	`lower-*.f64`
4 330×	`lower-*.f32`
2 132×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	2950
1	397	2937
2	1056	2927
3	2928	2921
4	6508	2921
0	8311	2808

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 444

Calls

Call 1

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

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

rewrite207.0ms (2.4%)

Memory

8.8MiB live, 287.5MiB allocated

Rules

4 914×	`lower-fma.f32`
4 908×	`lower-fma.f64`
4 506×	`lower-*.f32`
4 496×	`lower-*.f64`
4 438×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	195
0	60	195
1	258	183
2	2026	180
0	8481	176

Stop Event

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

Counts

21 → 568

Calls

Call 1

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

Outputs
#<batchref>
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eval204.0ms (2.3%)

Memory: -4.6MiB live, 341.2MiB allocated
Compiler: Compiled 21 209 to 2 509 computations (88.2% saved)

prune44.0ms (0.5%)

Memory

8.9MiB live, 133.7MiB allocated

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	1 045	6	1 051
Fresh	1	15	16
Picked	1	4	5
Done	0	2	2
Total	1 047	27	1 074

Accuracy

100.0%

Counts

1 074 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.9%	(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64))
	40.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
▶	30.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
	54.0%	(-.f64 (+.f64 x #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 ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
	54.1%	(-.f64 (+.f64 x #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 (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
▶	54.2%	(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) #s(approx ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
✓	88.0%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
✓	54.6%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
✓	99.8%	(-.f64 #s(approx (+ x (cos y)) (fma.f64 (/.f64 (cos.f64 y) x) x x)) (*.f64 z (sin.f64 y)))
✓	60.6%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
	49.3%	(-.f64 #s(approx (+ x (cos y)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
	60.1%	(.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	30.5%	(.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 #s(approx (+ (* (sin y) z) (+ (cos y) x)) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))))
	54.0%	(.f64 (-.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
	55.8%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
	64.1%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)))
▶	70.9%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x))
	31.0%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
	56.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (.f64 (.f64 z y) #s(literal 1/6 binary64))) y) z) y (+.f64 #s(literal 1 binary64) x)))
	56.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
	45.4%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
	45.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
▶	21.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
	19.0%	#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
▶	64.1%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
✓	59.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
✓	21.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

Compiler

Compiled 696 to 550 computations (21% saved)

simplify203.0ms (2.3%)

Memory

12.5MiB live, 196.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

13 160×	`lower-fma.f32`
13 152×	`lower-fma.f64`
3 530×	`lower-*.f32`
3 518×	`lower-*.f64`
2 908×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	294
0	73	291
1	135	287
2	251	287
3	518	284
4	971	284
5	1536	284
6	2611	284
7	4857	284
0	8244	278

Stop Event

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

Calls

Call 1

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

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

localize278.0ms (3.2%)

Memory

-168.4MiB live, 254.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.109375	(*.f64 (sin.f64 y) z)
accuracy	0.19140625	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
accuracy	0.28125	(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
accuracy	44.21539391531677	#s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
accuracy	0.26694275368481307	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
accuracy	5.3751951007946355	(.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)))
accuracy	30.203720110811176	#s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))
accuracy	30.440028428951067	#s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	14.47823295793529	(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))
accuracy	26.132111031896223	#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
accuracy	30.858141374135762	#s(approx (- x 1) #s(literal -1 binary64))
accuracy	0	(fma.f64 z y #s(literal -1 binary64))
accuracy	0.00390625	(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
accuracy	22.987501434351444	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
accuracy	0	(cos.f64 y)
accuracy	0.0078125	(+.f64 (cos.f64 y) x)
accuracy	18.592172229940836	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x))

Samples

251.0ms

256×

valid

Compiler

Compiled 210 to 40 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-mult: 154.0ms (74.6% of total)

ival-add: 13.0ms (6.3% of total)

ival-sub: 7.0ms (3.4% of total)

ival-sin: 6.0ms (2.9% of total)

const: 6.0ms (2.9% of total)

ival-pow: 6.0ms (2.9% of total)

ival-div: 5.0ms (2.4% of total)

ival-cos: 5.0ms (2.4% of total)

ival-neg: 4.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory

3.4MiB live, 85.0MiB allocated

Counts

23 → 528

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	z	@	inf	((/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* z y) -1)) (+ (* z y) -1) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (/ (- (* x x) 1) (- x 1)) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (+ (* (* -1/2 y) y) 1) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (* (sin y) z) (sin y) (- x 1) (* z (sin y)) (* z (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6) (/ -1 (* (sin y) z)))
2.0ms	z	@	-inf	((/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* z y) -1)) (+ (* z y) -1) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (/ (- (* x x) 1) (- x 1)) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (+ (* (* -1/2 y) y) 1) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (* (sin y) z) (sin y) (- x 1) (* z (sin y)) (* z (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6) (/ -1 (* (sin y) z)))
2.0ms	y	@	-inf	((/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* z y) -1)) (+ (* z y) -1) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (/ (- (* x x) 1) (- x 1)) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (+ (* (* -1/2 y) y) 1) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (* (sin y) z) (sin y) (- x 1) (* z (sin y)) (* z (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6) (/ -1 (* (sin y) z)))
2.0ms	z	@	0	((/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* z y) -1)) (+ (* z y) -1) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (/ (- (* x x) 1) (- x 1)) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (+ (* (* -1/2 y) y) 1) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (* (sin y) z) (sin y) (- x 1) (* z (sin y)) (* z (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6) (/ -1 (* (sin y) z)))
2.0ms	y	@	inf	((/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (- x (+ (* z y) -1)) (+ (* z y) -1) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (/ (- (* x x) 1) (- x 1)) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (+ (* (* -1/2 y) y) 1) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (* (sin y) z) (sin y) (- x 1) (* z (sin y)) (* z (+ (* 1/120 (* y y)) -1/6)) (+ (* 1/120 (* y y)) -1/6) (/ -1 (* (sin y) z)))

simplify174.0ms (2%)

Memory

4.8MiB live, 318.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 870×	`lower-fma.f64`
7 870×	`lower-fma.f32`
5 140×	`lower-*.f64`
5 140×	`lower-*.f32`
4 130×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	395	4696
1	1184	4557
2	3440	4475
0	8091	4303

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 507

Calls

Call 1

Inputs
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
-1
(- (* y z) 1)
(- (* y z) 1)
(- (* y z) 1)
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ 1 (+ x (cos y)))
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* y z))
(* z (- (+ (/ 1 z) (/ x z)) y))
(* z (- (+ (/ 1 z) (/ x z)) y))
(* z (- (+ (/ 1 z) (/ x z)) y))
(* y z)
(* z (- y (/ 1 z)))
(* z (- y (/ 1 z)))
(* z (- y (/ 1 z)))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))
(* y z)
(* -1 (* z (+ (* -1 y) (/ 1 z))))
(* -1 (* z (+ (* -1 y) (/ 1 z))))
(* -1 (* z (+ (* -1 y) (/ 1 z))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(* z (- (* 1/120 (pow y 2)) 1/6))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
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)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
-1
(- (* y z) 1)
(- (* y z) 1)
(- (* y z) 1)
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
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)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* -1/2 (pow y 2)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* -1/6 z)
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
(+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(/ -1 (* y z))
(/ (- (* -1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (- (* (pow y 2) (- (* -7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* -1 (* y z))
(* y (- (+ (/ 1 y) (/ x y)) z))
(* y (- (+ (/ 1 y) (/ x y)) z))
(* y (- (+ (/ 1 y) (/ x y)) z))
(* y z)
(* y (- z (/ 1 y)))
(* y (- z (/ 1 y)))
(* y (- z (/ 1 y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* 1/120 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(* y z)
(* -1 (* y (+ (* -1 z) (/ 1 y))))
(* -1 (* y (+ (* -1 z) (/ 1 y))))
(* -1 (* y (+ (* -1 z) (/ 1 y))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* -1/2 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* 1/120 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z)))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(+ (cos y) (* -1 (* z (sin y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- 1 (* y z))
(- (+ 1 x) (* y z))
(- (+ 1 x) (* y z))
(- (+ 1 x) (* y z))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ (cos y) (* -1 (* z (sin y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ 1 (+ (cos y) (* -1 (* z (sin y)))))
(+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 2))) (/ 1 (+ (cos y) (* -1 (* z (sin y))))))
(+ (* x (- (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 3)) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y))))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 4))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 3)))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y))))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))) x)
(/ (- (+ 1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) x)
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(/ 1 x)
(* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))

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

rewrite163.0ms (1.9%)

Memory

-18.0MiB live, 309.6MiB allocated

Rules

4 142×	`lower-/.f32`
4 136×	`lower-/.f64`
3 934×	`lower-*.f32`
3 922×	`lower-*.f64`
3 466×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	240
0	73	235
1	320	233
2	2434	233
0	8225	230

Stop Event

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

Counts

23 → 434

Calls

Call 1

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

Outputs
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eval119.0ms (1.4%)

Memory: 16.5MiB live, 289.8MiB allocated
Compiler: Compiled 19 012 to 2 252 computations (88.2% saved)

prune49.0ms (0.6%)

Memory

-13.9MiB live, 148.1MiB allocated

Pruning

35 alts after pruning (27 fresh and 8 done)

	Pruned	Kept	Total
New	923	18	941
Fresh	7	9	16
Picked	2	3	5
Done	1	5	6
Total	933	35	968

Accuracy

100.0%

Counts

968 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.9%	(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64))
	30.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
	40.6%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
✓	30.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
	13.4%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
	12.8%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal -7/360 binary64) z)) (.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal -1 binary64) z)) y))))
	13.0%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
	13.3%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))))
✓	54.2%	(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) #s(approx ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
✓	88.0%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
✓	54.6%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
✓	60.6%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
	49.3%	(-.f64 #s(approx (+ x (cos y)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
	64.1%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)))
✓	70.9%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x))
	44.3%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) x))
	44.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) x))
	45.3%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x))
	31.0%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
	70.8%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x)))
	32.4%	#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y)))
	56.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (.f64 (.f64 z y) #s(literal 1/6 binary64))) y) z) y (+.f64 #s(literal 1 binary64) x)))
	56.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
	45.4%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
	13.7%	#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x x))) #s(approx (- x 1) #s(literal -1 binary64))))
	19.0%	#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
	3.3%	#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) #s(approx (- x 1) #s(literal -1 binary64))))
	21.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
	46.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y))))
✓	59.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
	31.1%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))))
	52.0%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z)))
	51.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y)))
	13.4%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y)))
✓	21.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

Compiler

Compiled 1 130 to 586 computations (48.1% saved)

regimes66.0ms (0.8%)

Memory

15.1MiB live, 131.3MiB allocated

Counts

56 → 1

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (.f64 (.f64 z y) #s(literal 1/6 binary64))) y) z) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x x))) #s(approx (- x 1) #s(literal -1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) #s(approx ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
(-.f64 (+.f64 x #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 (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(-.f64 (+.f64 x #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 ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal -7/360 binary64) z)) (.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 #s(approx (+ x (cos y)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x)))
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 #s(approx (+ x (cos y)) (fma.f64 (/.f64 (cos.f64 y) x) x x)) (*.f64 z (sin.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #s(literal -1 binary64)))
(.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 #s(approx (+ (* (sin y) z) (+ (cos y) x)) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))))
(-.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (cos.f64 y) x) (cos.f64 y) (.f64 x x))) (.f64 z (sin.f64 y)))
(.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
(.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes57.0ms (0.7%)

Memory

-19.0MiB live, 108.1MiB allocated

Counts

46 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (.f64 (.f64 z y) #s(literal 1/6 binary64))) y) z) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x x))) #s(approx (- x 1) #s(literal -1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) #s(approx ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
(-.f64 (+.f64 x #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 (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(-.f64 (+.f64 x #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 ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal -7/360 binary64) z)) (.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 #s(approx (+ x (cos y)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (fma.f64 (/.f64 (cos.f64 y) x) x x)))
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))

Outputs

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

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

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

Calls

4 calls:

15.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
14.0ms	x
13.0ms	z
12.0ms	y

Results

Accuracy	Segments	Branch
99.2%	3	`x`
88.0%	1	`y`
99.8%	3	`z`
99.8%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes48.0ms (0.6%)

Memory

18.9MiB live, 99.5MiB allocated

Counts

40 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (.f64 (.f64 z y) #s(literal 1/6 binary64))) y) z) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x x))) #s(approx (- x 1) #s(literal -1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) #s(approx ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
(-.f64 (+.f64 x #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 (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(-.f64 (+.f64 x #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 ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal -7/360 binary64) z)) (.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 #s(approx (+ x (cos y)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
86.2%	5	`y`
80.5%	3	`x`
87.9%	3	`z`
77.0%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes14.0ms (0.2%)

Memory

-11.2MiB live, 27.8MiB allocated

Counts

39 → 4

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (.f64 (.f64 z y) #s(literal 1/6 binary64))) y) z) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x x))) #s(approx (- x 1) #s(literal -1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) #s(approx ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
(-.f64 (+.f64 x #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 (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(-.f64 (+.f64 x #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 ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal -7/360 binary64) z)) (.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 z) (sin.f64 y)))

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
87.5%	4	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes23.0ms (0.3%)

Memory

8.1MiB live, 47.0MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (.f64 (.f64 z y) #s(literal 1/6 binary64))) y) z) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x x))) #s(approx (- x 1) #s(literal -1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) #s(approx ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
(-.f64 (+.f64 x #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 (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(-.f64 (+.f64 x #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 ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal -7/360 binary64) z)) (.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 (cos.f64 y) x))

Outputs

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

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

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

Calls

2 calls:

11.0ms	z
10.0ms	y

Results

Accuracy	Segments	Branch
81.5%	3	`y`
80.7%	3	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes43.0ms (0.5%)

Memory

7.2MiB live, 87.9MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (.f64 (.f64 z y) #s(literal 1/6 binary64))) y) z) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x x))) #s(approx (- x 1) #s(literal -1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) #s(approx ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
(-.f64 (+.f64 x #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 (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(-.f64 (+.f64 x #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 ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal -7/360 binary64) z)) (.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y)))

Outputs

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

#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y)))

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

Calls

4 calls:

11.0ms	x
11.0ms	y
10.0ms	z
9.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
75.4%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
70.2%	3	`x`
68.9%	3	`z`
70.3%	3	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes22.0ms (0.3%)

Memory

-21.6MiB live, 56.8MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y) z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 y y) z) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (.f64 (.f64 z y) #s(literal 1/6 binary64))) y) z) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (+.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))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) x x))) #s(approx (- x 1) #s(literal -1 binary64))))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(-.f64 (+.f64 x #s(approx (cos y) (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)))) #s(approx ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) z)) y))))
(-.f64 (+.f64 x #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 (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(-.f64 (+.f64 x #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 ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (/.f64 (.f64 y y) z) (/.f64 #s(literal -7/360 binary64) z)) (.f64 y y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal -1 binary64) z)) y))))

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
70.3%	3	`y`
64.1%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes12.0ms (0.1%)

Memory

-11.9MiB live, 27.2MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
70.2%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes39.0ms (0.4%)

Memory

0.5MiB live, 41.5MiB allocated

Counts

31 → 2

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
66.6%	2	`x`
68.6%	2	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
68.5%	2	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y))))

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

#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.1%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
65.8%	3	`x`
67.0%	3	`z`
59.2%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes24.0ms (0.3%)

Memory

-26.8MiB live, 12.4MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

21.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
65.8%	3	`x`
63.5%	2	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

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

#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.5%	2	`z`
59.2%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
59.2%	1	`x`

Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
59.2%	1	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes20.0ms (0.2%)

Memory

-23.2MiB live, 16.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

Calls

4 calls:

15.0ms	y
1.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
21.2%	1	`y`
21.2%	1	`x`
21.2%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
21.2%	1	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999931210694952	1.0
0.0ms	-1700217.3055910035	-5.324610656498548

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch45.0ms (0.5%)

Memory

27.1MiB live, 66.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1031470902.7145107	265361951242.38174
26.0ms	-5.0519515127519175e+147	-1.0223327578346843e+139

Samples

31.0ms

272×

valid

Compiler

Compiled 233 to 303 computations (-30% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sub: 10.0ms (40.2% of total)

ival-cos: 6.0ms (24.1% of total)

ival-sin: 6.0ms (24.1% of total)

ival-mult: 2.0ms (8% of total)

ival-add: 1.0ms (4% of total)

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

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

bsearch61.0ms (0.7%)

Memory

3.8MiB live, 45.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	1.559053317076707e+159	6.944693665009299e+165
1.0ms	1031470902.7145107	265361951242.38174
40.0ms	-5.0519515127519175e+147	-1.0223327578346843e+139

Samples

47.0ms

256×

valid

Compiler

Compiled 352 to 440 computations (-25% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sin: 31.0ms (75.6% of total)

ival-cos: 6.0ms (14.6% of total)

ival-mult: 2.0ms (4.9% of total)

ival-sub: 1.0ms (2.4% of total)

ival-add: 1.0ms (2.4% of total)

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

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

bsearch63.0ms (0.7%)

Memory

-27.4MiB live, 50.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	0.5817022269574041	2441.310602990325
27.0ms	-18286706951.571503	-9885198.601215344

Samples

34.0ms

256×

valid

Compiler

Compiled 668 to 478 computations (28.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-cos: 15.0ms (55.4% of total)

ival-sin: 8.0ms (29.5% of total)

ival-mult: 2.0ms (7.4% of total)

ival-sub: 1.0ms (3.7% of total)

ival-add: 1.0ms (3.7% of total)

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

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999931210694952	1.0
0.0ms	-2.8020686577709363e+23	-73724240769836740.0

Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch24.0ms (0.3%)

Memory

31.3MiB live, 31.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1331013.5421646305	3944169904717046.5
1.0ms	-18286706951.571503	-9885198.601215344

Samples

15.0ms

144×

valid

Compiler

Compiled 692 to 507 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 5.0ms (43.8% of total)

ival-sin: 4.0ms (35% of total)

ival-sub: 1.0ms (8.8% of total)

ival-add: 1.0ms (8.8% of total)

ival-mult: 1.0ms (8.8% of total)

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

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

bsearch49.0ms (0.6%)

Memory

-20.0MiB live, 19.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.5817022269574041	2441.310602990325
36.0ms	-18286706951.571503	-9885198.601215344

Samples

8.0ms

80×

valid

Compiler

Compiled 572 to 446 computations (22% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-cos: 2.0ms (33.2% of total)

ival-sin: 2.0ms (33.2% of total)

ival-mult: 1.0ms (16.6% of total)

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

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

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

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

bsearch18.0ms (0.2%)

Memory

21.7MiB live, 21.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-18286706951.571503	-9885198.601215344

Samples

12.0ms

112×

valid

Compiler

Compiled 108 to 142 computations (-31.5% saved)

Precisions

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

ival-cos: 4.0ms (44.8% of total)

ival-sin: 3.0ms (33.6% of total)

ival-add: 1.0ms (11.2% of total)

ival-mult: 1.0ms (11.2% of total)

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

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

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

bsearch8.0ms (0.1%)

Memory

-37.5MiB live, 2.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-18286706951.571503	-9885198.601215344

Compiler

Compiled 100 to 134 computations (-34% saved)

bsearch28.0ms (0.3%)

Memory

33.5MiB live, 33.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	6.944693665009299e+165	1.5182377811936514e+166
16.0ms	-1.0502049977326613e+154	-5.0519515127519175e+147

Samples

18.0ms

224×

valid

Compiler

Compiled 166 to 224 computations (-34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-cos: 4.0ms (32.8% of total)

ival-sin: 4.0ms (32.8% of total)

ival-mult: 2.0ms (16.4% of total)

ival-sub: 1.0ms (8.2% of total)

ival-add: 1.0ms (8.2% of total)

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

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

bsearch78.0ms (0.9%)

Memory

1.1MiB live, 38.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.8247266864234524e-14	257170.51679970408
56.0ms	-2.8020686575967e+23	-1.1657964907586124e+23

Samples

66.0ms

240×

valid

Compiler

Compiled 177 to 254 computations (-43.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-add: 47.0ms (78% of total)

ival-cos: 5.0ms (8.3% of total)

ival-sin: 5.0ms (8.3% of total)

ival-mult: 2.0ms (3.3% of total)

ival-sub: 1.0ms (1.7% of total)

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

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

bsearch75.0ms (0.9%)

Memory

-16.4MiB live, 22.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
74.0ms	1.1445389889045738e+252	7.21774920830837e+257

Samples

12.0ms

144×

valid

Compiler

Compiled 102 to 149 computations (-46.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 3.0ms (37.3% of total)

ival-sin: 3.0ms (37.3% of total)

ival-sub: 1.0ms (12.4% of total)

ival-add: 1.0ms (12.4% of total)

ival-mult: 1.0ms (12.4% of total)

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

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

simplify81.0ms (0.9%)

Memory

7.1MiB live, 46.4MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`+-commutative-binary64-+.f64`
32×	`sub-neg-binary64-neg.f64-+.f64--.f64`
30×	`-commutative-binary64-.f64`
16×	`neg-sub0-binary64--.f64-neg.f64`
16×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	763
1	174	763
2	204	763
3	218	763
4	225	763
5	226	763

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2251784323710819/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -349999999999999989018643932353271763280333925111648739263550478404999996736516759110603558435118836382949171724193167634425762871179839799296 binary64)) (-.f64 #s(approx (+ x (cos y)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 265000000000 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 #s(approx (+ x (cos y)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -1699999999999999910398343097793682564856553595601711120121902572498001669105204632055528164578640520021087861395985474013635788573020709191680 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 265000000000 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 z #s(literal 40000000000000000261136309802729062273826568595545068473795378182082047111352724570041350039955468143265369880748703140775000470594174121424738194601753125584896 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- (+ x (cos y)) ( z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) (-.f64 (+.f64 x #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 ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -199999999999999983222784 binary64)) #s(approx (/ 1 (pow (+ ( (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2251784323710819/2251799813685248 binary64)) #s(approx (/ 1 (pow (+ ( (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 1350000 binary64)) (-.f64 (+.f64 x #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 ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 3602879701896397/1125899906842624 binary64)) (-.f64 (+.f64 x #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 (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -4600000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -4600000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))))
(if (<=.f64 z #s(literal -25499999999999999261456890920538183433284501396271570539760484922663969639431547897550850560733103231670728853931262477222342522291815636027431714816 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (.f64 z y)))) (if (<=.f64 z #s(literal 13800000000000000126903685787267706876921960699184065700846874771123646064347868844566649307947312701885202176182999907484054334138616969074657206347772288658562875392 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y))))))
(if (<=.f64 x #s(literal -118000000000000004194304 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 8689154328480147/9444732965739290427392 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 z #s(literal 2300000000000000035953545605923976386248860087875509810590056742197989704787297276668372230330874898599799834581725946766674395547212465663339540583992990195027312587547018943584103425439255186536178234402917263361447430373223207672325024679378264933793792 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -1000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2251784323710819/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) #s(literal -1000000 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (.f64 (sin.f64 y) z)) (if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) #s(literal 2251784323710819/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z))))
(if (<=.f64 z #s(literal -349999999999999989018643932353271763280333925111648739263550478404999996736516759110603558435118836382949171724193167634425762871179839799296 binary64)) (-.f64 #s(approx (+ x (cos y)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 265000000000 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 #s(approx (+ x (cos y)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -349999999999999989018643932353271763280333925111648739263550478404999996736516759110603558435118836382949171724193167634425762871179839799296 binary64)) (-.f64 #s(approx (+ x (cos y)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 265000000000 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 #s(approx (+ x (cos y)) #s(approx (cos y) #s(literal 1 binary64))) (*.f64 (sin.f64 y) z))))
(if (<=.f64 z #s(literal -1699999999999999910398343097793682564856553595601711120121902572498001669105204632055528164578640520021087861395985474013635788573020709191680 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 265000000000 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 z #s(literal 40000000000000000261136309802729062273826568595545068473795378182082047111352724570041350039955468143265369880748703140775000470594174121424738194601753125584896 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- (+ x (cos y)) ( z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) (-.f64 (+.f64 x #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 ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) (-.f64 (+.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))) x) #s(approx ( z (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) z) (.f64 y y) z) y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -199999999999999983222784 binary64)) #s(approx (/ 1 (pow (+ ( (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2251784323710819/2251799813685248 binary64)) #s(approx (/ 1 (pow (+ ( (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))))
(if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) #s(literal -199999999999999983222784 binary64)) #s(approx (/ 1 (pow (+ ( (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))) (if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)) #s(literal 2251784323710819/2251799813685248 binary64)) #s(approx (/ 1 (pow (+ ( (neg z) (sin y)) (+ (cos y) x)) -1)) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 1350000 binary64)) (-.f64 (+.f64 x #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 ( z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 1350000 binary64)) (-.f64 (+.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))) x) #s(approx ( z (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) z) (.f64 y y) z) y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 3602879701896397/1125899906842624 binary64)) (-.f64 (+.f64 x #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 (* z (sin y)) (.f64 (fma.f64 (.f64 z (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) z) y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -10000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 3602879701896397/1125899906842624 binary64)) (-.f64 (+.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))) x) #s(approx (* z (sin y)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) z) (.f64 y y) z) y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -4600000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (neg.f64 z) y (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -4600000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))))
(if (<=.f64 z #s(literal -25499999999999999261456890920538183433284501396271570539760484922663969639431547897550850560733103231670728853931262477222342522291815636027431714816 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (.f64 z y)))) (if (<=.f64 z #s(literal 13800000000000000126903685787267706876921960699184065700846874771123646064347868844566649307947312701885202176182999907484054334138616969074657206347772288658562875392 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(approx (+ (* z y) -1) (*.f64 z y))))))
(if (<=.f64 x #s(literal -118000000000000004194304 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 x #s(literal 8689154328480147/9444732965739290427392 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (fma.f64 (neg.f64 y) z #s(literal 1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 z #s(literal 2300000000000000035953545605923976386248860087875509810590056742197989704787297276668372230330874898599799834581725946766674395547212465663339540583992990195027312587547018943584103425439255186536178234402917263361447430373223207672325024679378264933793792 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 z) y))))
(if (<=.f64 z #s(literal 2300000000000000035953545605923976386248860087875509810590056742197989704787297276668372230330874898599799834581725946766674395547212465663339540583992990195027312587547018943584103425439255186536178234402917263361447430373223207672325024679378264933793792 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- x (+ (* z y) -1)) (*.f64 (neg.f64 y) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

soundness1.6s (18.8%)

Memory

-7.4MiB live, 1 074.8MiB allocated

Rules

11 940×	`lower-fma.f64`
11 940×	`lower-fma.f32`
10 746×	`lower-fma.f64`
10 746×	`lower-fma.f32`
7 870×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	395	4696
1	1184	4557
2	3440	4475
0	8091	4303
0	103	612
1	287	607
2	770	605
3	2083	601
4	4366	601
5	6335	601
0	8451	579
0	743	7824
1	2344	7484
2	7512	7463
0	8069	7111
0	143	2950
1	397	2937
2	1056	2927
3	2928	2921
4	6508	2921
0	8311	2808
0	8	19
0	13	19
1	47	19
2	388	19
3	5630	19
0	8225	19

Stop Event

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

Compiler

Compiled 742 to 419 computations (43.5% saved)

preprocess177.0ms (2%)

Memory: -12.4MiB live, 225.0MiB allocated
Compiler: Compiled 862 to 262 computations (69.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	13	24
1	22	24
2	42	24
3	66	24
4	97	24
5	151	24
6	264	24
7	398	24
8	480	24
9	528	24
10	558	24
0	558	24

Iter	Nodes	Cost
0	8	24
0	13	24
1	22	24
2	42	24
3	66	24
4	97	24
5	151	24
6	264	24
7	398	24
8	480	24
9	528	24
10	558	24
0	558	24

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (15.1%)

explain174.0ms (2%)

preprocess71.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify36.0ms (0.4%)

localize54.0ms (0.6%)

series9.0ms (0.1%)

simplify179.0ms (2.1%)

rewrite194.0ms (2.2%)

eval103.0ms (1.2%)

prune33.0ms (0.4%)

simplify347.0ms (4%)

localize102.0ms (1.2%)

series64.0ms (0.7%)

simplify256.0ms (2.9%)

rewrite173.0ms (2%)

eval523.0ms (6%)

prune193.0ms (2.2%)

simplify239.0ms (2.7%)

localize174.0ms (2%)

series56.0ms (0.6%)

simplify192.0ms (2.2%)

rewrite207.0ms (2.4%)

eval204.0ms (2.3%)

prune44.0ms (0.5%)

simplify203.0ms (2.3%)

localize278.0ms (3.2%)

series42.0ms (0.5%)

simplify174.0ms (2%)

rewrite163.0ms (1.9%)

eval119.0ms (1.4%)

prune49.0ms (0.6%)

regimes66.0ms (0.8%)

regimes57.0ms (0.7%)

regimes48.0ms (0.6%)

regimes14.0ms (0.2%)

regimes23.0ms (0.3%)

regimes43.0ms (0.5%)

regimes22.0ms (0.3%)

regimes12.0ms (0.1%)

regimes39.0ms (0.4%)

regimes3.0ms (0%)

regimes10.0ms (0.1%)

regimes24.0ms (0.3%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes20.0ms (0.2%)

bsearch1.0ms (0%)

bsearch45.0ms (0.5%)

bsearch61.0ms (0.7%)

bsearch63.0ms (0.7%)

bsearch1.0ms (0%)

bsearch24.0ms (0.3%)

bsearch49.0ms (0.6%)

bsearch18.0ms (0.2%)

bsearch8.0ms (0.1%)

bsearch28.0ms (0.3%)

bsearch78.0ms (0.9%)

bsearch75.0ms (0.9%)

simplify81.0ms (0.9%)

soundness1.6s (18.8%)

preprocess177.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	13	24
1	22	24
2	42	24
3	66	24
4	97	24
5	151	24
6	264	24
7	398	24
8	480	24
9	528	24
10	558	24
0	558	24