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

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (14.8%)

Memory

29.3MiB live, 1 640.6MiB allocated

Samples

963.0ms	8 253×	0	valid
1.0ms	1×	3	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 649.0ms

ival-cos: 256.0ms (39.4% of total)

ival-sin: 187.0ms (28.8% of total)

ival-sub: 79.0ms (12.2% of total)

ival-mult: 67.0ms (10.3% of total)

ival-add: 49.0ms (7.5% of total)

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

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

adjust: 0.0ms (0% of total)

Bogosity

explain113.0ms (1.4%)

Memory

-54.6MiB live, 180.2MiB 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

48.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-sin: 11.0ms (34.3% of total)

ival-cos: 10.0ms (31.2% of total)

ival-mult: 5.0ms (15.6% of total)

ival-add: 3.0ms (9.4% of total)

ival-sub: 2.0ms (6.2% of total)

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

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

preprocess66.0ms (0.8%)

Memory

18.4MiB live, 56.7MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

simplify19.0ms (0.2%)

Memory

-11.8MiB live, 26.5MiB 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)

localize33.0ms (0.4%)

Memory

13.5MiB live, 51.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(+.f64 x (cos.f64 y))
accuracy	0.0078125	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy	0.125	(*.f64 z (sin.f64 y))

Samples

27.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-sin: 9.0ms (48.1% of total)

ival-cos: 6.0ms (32.1% of total)

ival-mult: 2.0ms (10.7% of total)

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

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

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

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

series44.0ms (0.5%)

Memory

-27.4MiB live, 17.2MiB 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)))

simplify143.0ms (1.7%)

Memory

30.0MiB live, 186.6MiB 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)

rewrite220.0ms (2.7%)

Memory

-18.4MiB live, 179.2MiB 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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eval58.0ms (0.7%)

Memory: 23.7MiB live, 61.2MiB allocated
Compiler: Compiled 6 790 to 635 computations (90.6% saved)

prune24.0ms (0.3%)

Memory

2.2MiB live, 40.2MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	264	15	279
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	265	15	280

Accuracy

100.0%

Counts

280 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
	66.8%	(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))
	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)))
▶	66.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))))
	64.7%	(-.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)))
▶	85.2%	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
	57.6%	(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
	64.6%	(.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
	99.8%	(.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))))
▶	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)))
	54.5%	#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)))
	62.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
	76.1%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
▶	62.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
	25.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))

Compiler

Compiled 478 to 318 computations (33.5% saved)

simplify164.0ms (2%)

Memory

9.6MiB live, 164.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
cost-diff	128	(-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))))
cost-diff	20160	(/.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 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	(+.f64 (cos.f64 y) x)
cost-diff	0	(neg.f64 z)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))

Rules

8 980×	`lower-fma.f32`
8 972×	`lower-fma.f64`
2 748×	`lower-*.f32`
2 740×	`lower-*.f64`
2 368×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	247
0	62	231
1	111	231
2	215	231
3	630	231
4	2447	219
5	7063	219
0	8050	218

Stop Event

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

Calls

Call 1

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

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

localize138.0ms (1.7%)

Memory

-28.0MiB live, 100.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.171875	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))))
accuracy	0.22789003907376806	(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))
accuracy	2.949204300811441	(-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))
accuracy	21.026337325217952	(/.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))))
accuracy	0.00390625	(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy	0.0078125	(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
accuracy	0.125	(*.f64 z (sin.f64 y))
accuracy	28.242635440789243	#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	0.06640625	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y)
accuracy	0.125	(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64))
accuracy	29.043615646204387	#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	23.933737684839244	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
accuracy	0	(neg.f64 z)
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(+.f64 (cos.f64 y) x)
accuracy	0.05078125	(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))

Samples

112.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 237 to 34 computations (85.7% saved)

Precisions

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

ival-mult: 29.0ms (35.3% of total)

ival-sin: 25.0ms (30.4% of total)

ival-add: 7.0ms (8.5% of total)

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

const: 4.0ms (4.9% of total)

ival-sub: 4.0ms (4.9% of total)

ival-div: 3.0ms (3.7% of total)

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

ival-neg: 1.0ms (1.2% 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)

series80.0ms (1%)

Memory

-11.8MiB live, 69.8MiB allocated

Counts

22 → 576

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	y	@	inf	((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ 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)) (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (- x (+ (* (neg z) (sin y)) (cos y))) (+ (* (neg z) (sin y)) (cos y)) (cos y) (+ (* 1/6 (* z y)) -1/2) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)) (pow (+ (* (neg z) (sin y)) (cos y)) 2))
6.0ms	z	@	inf	((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ 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)) (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (- x (+ (* (neg z) (sin y)) (cos y))) (+ (* (neg z) (sin y)) (cos y)) (cos y) (+ (* 1/6 (* z y)) -1/2) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)) (pow (+ (* (neg z) (sin y)) (cos y)) 2))
5.0ms	z	@	0	((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ 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)) (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (- x (+ (* (neg z) (sin y)) (cos y))) (+ (* (neg z) (sin y)) (cos y)) (cos y) (+ (* 1/6 (* z y)) -1/2) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)) (pow (+ (* (neg z) (sin y)) (cos y)) 2))
4.0ms	y	@	0	((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ 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)) (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (- x (+ (* (neg z) (sin y)) (cos y))) (+ (* (neg z) (sin y)) (cos y)) (cos y) (+ (* 1/6 (* z y)) -1/2) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)) (pow (+ (* (neg z) (sin y)) (cos y)) 2))
4.0ms	z	@	-inf	((+ (* (sin y) (neg z)) (+ (cos y) x)) (sin y) (neg z) (+ (cos y) x) (- (+ 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)) (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (- x (+ (* (neg z) (sin y)) (cos y))) (+ (* (neg z) (sin y)) (cos y)) (cos y) (+ (* 1/6 (* z y)) -1/2) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)) (pow (+ (* (neg z) (sin y)) (cos y)) 2))

simplify322.0ms (3.9%)

Memory

4.0MiB live, 163.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 410×	`lower-fma.f64`
8 410×	`lower-fma.f32`
5 924×	`lower-*.f64`
5 924×	`lower-*.f32`
3 824×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	764	8193
1	2381	7941
2	7745	7927
0	8285	7533

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 555

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

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

rewrite233.0ms (2.8%)

Memory

24.2MiB live, 131.5MiB allocated

Rules

4 178×	`lower-*.f32`
4 170×	`lower-*.f64`
3 940×	`lower-/.f32`
3 936×	`lower-/.f64`
3 734×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	210
0	62	194
1	282	182
2	2331	182
0	8191	182

Stop Event

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

Counts

22 → 812

Calls

Call 1

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

Outputs
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eval400.0ms (4.8%)

Memory: 14.7MiB live, 325.5MiB allocated
Compiler: Compiled 46 050 to 3 891 computations (91.6% saved)

prune123.0ms (1.5%)

Memory

-15.9MiB live, 141.8MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1 555	17	1 572
Fresh	6	4	10
Picked	4	1	5
Done	0	0	0
Total	1 565	22	1 587

Accuracy

100.0%

Counts

1 587 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.2%	(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	57.6%	(fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y)))
	52.1%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (-.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)))))
	11.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #s(approx (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)) (.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))
	22.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (-.f64 x (cos.f64 y))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)))
	44.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal 1 binary64) x)))
	25.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
	55.0%	(-.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)))
	64.6%	(.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))))
▶	99.8%	(.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))))
▶	92.9%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x))
▶	25.2%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 (neg.f64 (sin.f64 y)) z))
▶	25.9%	#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
	54.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x)))
	56.3%	#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)))
	50.6%	#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)))
	49.4%	#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)))
	62.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
	76.1%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
✓	62.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
	82.9%	#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))
▶	21.0%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

Compiler

Compiled 664 to 484 computations (27.1% saved)

simplify243.0ms (2.9%)

Memory

12.2MiB live, 180.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

12 992×	`lower-fma.f32`
12 980×	`lower-fma.f64`
5 020×	`lower-*.f32`
5 010×	`lower-*.f64`
1 520×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	310
0	72	347
1	130	347
2	295	278
3	1299	250
4	4813	250
0	8184	250

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

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

localize214.0ms (2.6%)

Memory

-5.8MiB live, 155.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x))
accuracy	0.06640625	(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
accuracy	0.140625	(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)
accuracy	4.578479806638409	(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x)
accuracy	0	(sin.f64 y)
accuracy	0	(neg.f64 (sin.f64 y))
accuracy	0.125	(*.f64 (neg.f64 (sin.f64 y)) z)
accuracy	47.82987252465488	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 (neg.f64 (sin.f64 y)) z))
accuracy	0.06640625	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y)
accuracy	0.125	(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64))
accuracy	29.043615646204387	#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
accuracy	32.83504802701388	#s(approx (+ 1 x) #s(literal 1 binary64))
accuracy	23.933737684839244	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
accuracy	32.83504802701388	#s(approx (+ 1 x) #s(literal 1 binary64))
accuracy	0.05078125	(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
accuracy	0.06478500976844202	(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))
accuracy	0.08984375	(pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy	0.15625	(*.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

189.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 284 to 43 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-mult: 72.0ms (42.4% of total)

ival-pow: 35.0ms (20.6% of total)

ival-sub: 28.0ms (16.5% of total)

ival-add: 9.0ms (5.3% of total)

ival-sin: 7.0ms (4.1% of total)

ival-div: 5.0ms (2.9% of total)

ival-cos: 5.0ms (2.9% of total)

const: 4.0ms (2.4% of total)

ival-pow2: 3.0ms (1.8% of total)

ival-neg: 2.0ms (1.2% 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)

series75.0ms (0.9%)

Memory

11.4MiB live, 93.9MiB allocated

Counts

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

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

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	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) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (* (neg (sin y)) z) (neg (sin y)) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* 1/6 (* z y)) -1/2))
9.0ms	x	@	-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) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (* (neg (sin y)) z) (neg (sin y)) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* 1/6 (* z y)) -1/2))
3.0ms	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) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (* (neg (sin y)) z) (neg (sin y)) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* 1/6 (* z y)) -1/2))
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) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (* (neg (sin y)) z) (neg (sin y)) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* 1/6 (* z y)) -1/2))
3.0ms	x	@	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) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (* (neg (sin y)) z) (neg (sin y)) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (/ (+ (* (neg z) (sin y)) (cos y)) x) (+ (* (neg z) (sin y)) (cos y)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (+ (* 1/6 (* z y)) -1/2))

simplify268.0ms (3.2%)

Memory

-19.3MiB live, 331.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 660×	`lower-fma.f64`
8 660×	`lower-fma.f32`
5 946×	`lower-*.f64`
5 946×	`lower-*.f32`
4 318×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	815	9548
1	2574	9084
0	8196	8676

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 567

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

rewrite209.0ms (2.5%)

Memory

23.7MiB live, 342.5MiB allocated

Rules

4 444×	`lower-/.f32`
4 442×	`lower-/.f64`
4 158×	`lower-*.f32`
4 148×	`lower-*.f64`
3 900×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	271
0	72	291
1	311	217
2	2565	215
0	8760	213

Stop Event

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

Counts

20 → 660

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

Outputs
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eval215.0ms (2.6%)

Memory: -0.1MiB live, 552.1MiB allocated
Compiler: Compiled 41 483 to 3 328 computations (92% saved)

prune55.0ms (0.7%)

Memory

-9.7MiB live, 189.3MiB allocated

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	1 343	18	1 361
Fresh	8	8	16
Picked	3	2	5
Done	0	1	1
Total	1 354	29	1 383

Accuracy

100.0%

Counts

1 383 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.2%	(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	57.6%	(fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y)))
	52.1%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (-.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)))))
	22.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (-.f64 x (cos.f64 y))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)))
	44.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal 1 binary64) x)))
▶	25.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
	58.2%	(.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))))
	24.9%	(.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))))
	59.9%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (*.f64 (neg.f64 z) (sin.f64 y))) x) x x))
	76.0%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y)) x) x x))
	62.5%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
▶	90.4%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x) (pow.f64 x #s(literal -1 binary64)) x))
▶	49.7%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
	58.1%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) x x))
	59.9%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x x))
✓	25.2%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 (neg.f64 (sin.f64 y)) z))
	8.4%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
	8.3%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) y)) z))
▶	8.7%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
	76.1%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) #s(approx (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (+.f64 (cos.f64 y) x)))
	25.9%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
▶	26.0%	#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
	20.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) #s(literal 1/6 binary64)) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
	20.3%	#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
	26.4%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
	62.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
✓	62.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
	82.9%	#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))
✓	21.0%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

Compiler

Compiled 757 to 611 computations (19.3% saved)

simplify127.0ms (1.5%)

Memory

-11.6MiB live, 237.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (sin.f64 y) z)
cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
cost-diff	0	#s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
cost-diff	0	#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)
cost-diff	0	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
cost-diff	704	(fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)
cost-diff	0	#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))
cost-diff	0	(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 #s(approx (+ 1 x) #s(literal 1 binary64)))
cost-diff	0	#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (neg (sin y)) (neg.f64 y))
cost-diff	0	(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)
cost-diff	0	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
cost-diff	0	(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
cost-diff	0	(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x)
cost-diff	0	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x) (pow.f64 x #s(literal -1 binary64)) x))
cost-diff	6976	(fma.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x) (pow.f64 x #s(literal -1 binary64)) x)

Rules

10 696×	`lower-fma.f32`
10 680×	`lower-fma.f64`
4 402×	`lower-*.f32`
4 390×	`lower-*.f64`
1 654×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	536
0	100	523
1	178	517
2	331	507
3	917	465
4	4281	436
0	8184	428

Stop Event

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

Calls

Call 1

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

localize150.0ms (1.8%)

Memory

-0.0MiB live, 401.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.125	(*.f64 (sin.f64 y) z)
accuracy	0.171875	(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
accuracy	0.18359375	(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
accuracy	48.04749884005208	#s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
accuracy	4.382791858302058	(fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x))
accuracy	4.578479806638409	(fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x)
accuracy	4.796392599231107	(/.f64 (*.f64 z y) x)
accuracy	28.599506300500124	#s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x)))
accuracy	4.021380356574421	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) z)
accuracy	18.446761404636135	#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))
accuracy	29.043615646204387	#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
accuracy	32.83504802701388	#s(approx (+ 1 x) #s(literal 1 binary64))
accuracy	0	(neg.f64 y)
accuracy	0.125	(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)
accuracy	30.741947239496525	#s(approx (neg (sin y)) (neg.f64 y))
accuracy	47.82987252465488	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
accuracy	0.00390625	(pow.f64 x #s(literal -1 binary64))
accuracy	0.06640625	(fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y))
accuracy	0.11328125	(*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x)
accuracy	6.1339833598900215	(fma.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x) (pow.f64 x #s(literal -1 binary64)) x)

Samples

112.0ms

256×

valid

Compiler

Compiled 378 to 58 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 27.0ms (31.1% of total)

ival-div: 15.0ms (17.3% of total)

ival-add: 12.0ms (13.8% of total)

ival-cos: 8.0ms (9.2% of total)

ival-sin: 6.0ms (6.9% of total)

ival-sub: 4.0ms (4.6% of total)

const: 4.0ms (4.6% of total)

ival-pow: 4.0ms (4.6% of total)

ival-neg: 3.0ms (3.5% of total)

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

exact: 1.0ms (1.2% of total)

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

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

series88.0ms (1.1%)

Memory

18.0MiB live, 219.1MiB allocated

Counts

23 → 660

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	((+ (* (* (+ (* (neg (sin y)) z) (cos y)) x) (pow x -1)) x) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (* (+ (* (neg (sin y)) z) (cos y)) x) (+ (* (neg (sin y)) z) (cos y)) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (* (neg (sin y)) z) (neg (sin y)) (neg y) (- (+ 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 (* y y)) -1) z) (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/ -1 (* (sin y) z)) (* (sin y) z) (pow x -1) (+ 1 x) (/ (* z y) x))
5.0ms	z	@	-inf	((+ (* (* (+ (* (neg (sin y)) z) (cos y)) x) (pow x -1)) x) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (* (+ (* (neg (sin y)) z) (cos y)) x) (+ (* (neg (sin y)) z) (cos y)) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (* (neg (sin y)) z) (neg (sin y)) (neg y) (- (+ 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 (* y y)) -1) z) (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/ -1 (* (sin y) z)) (* (sin y) z) (pow x -1) (+ 1 x) (/ (* z y) x))
5.0ms	x	@	0	((+ (* (* (+ (* (neg (sin y)) z) (cos y)) x) (pow x -1)) x) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (* (+ (* (neg (sin y)) z) (cos y)) x) (+ (* (neg (sin y)) z) (cos y)) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (* (neg (sin y)) z) (neg (sin y)) (neg y) (- (+ 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 (* y y)) -1) z) (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/ -1 (* (sin y) z)) (* (sin y) z) (pow x -1) (+ 1 x) (/ (* z y) x))
4.0ms	x	@	-inf	((+ (* (* (+ (* (neg (sin y)) z) (cos y)) x) (pow x -1)) x) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (* (+ (* (neg (sin y)) z) (cos y)) x) (+ (* (neg (sin y)) z) (cos y)) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (* (neg (sin y)) z) (neg (sin y)) (neg y) (- (+ 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 (* y y)) -1) z) (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/ -1 (* (sin y) z)) (* (sin y) z) (pow x -1) (+ 1 x) (/ (* z y) x))
4.0ms	y	@	-inf	((+ (* (* (+ (* (neg (sin y)) z) (cos y)) x) (pow x -1)) x) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (* (+ (* (neg (sin y)) z) (cos y)) x) (+ (* (neg (sin y)) z) (cos y)) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (* (neg (sin y)) z) (neg (sin y)) (neg y) (- (+ 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 (* y y)) -1) z) (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (/ (+ (* (neg z) (sin y)) (cos y)) x) (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/ -1 (* (sin y) z)) (* (sin y) z) (pow x -1) (+ 1 x) (/ (* z y) x))

simplify206.0ms (2.5%)

Memory

22.1MiB live, 373.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 404×	`lower-fma.f64`
8 404×	`lower-fma.f32`
6 090×	`lower-*.f64`
6 090×	`lower-*.f32`
3 652×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	767	12011
1	2410	11553
2	7948	11515
0	8451	11035

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 641

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

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

rewrite308.0ms (3.7%)

Memory

-27.8MiB live, 337.3MiB allocated

Rules

5 890×	`lower-*.f32`
5 878×	`lower-*.f64`
5 084×	`lower-fma.f32`
5 068×	`lower-fma.f64`
3 402×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	451
0	100	438
1	429	360
2	3221	360
0	9019	355

Stop Event

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

Counts

23 → 369

Calls

Call 1

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

Outputs
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eval370.0ms (4.5%)

Memory: 30.3MiB live, 300.0MiB allocated
Compiler: Compiled 26 499 to 2 679 computations (89.9% saved)

prune303.0ms (3.7%)

Memory

-22.1MiB live, 136.6MiB allocated

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	1 003	7	1 010
Fresh	4	17	21
Picked	2	3	5
Done	0	3	3
Total	1 009	30	1 039

Accuracy

100.0%

Counts

1 039 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.2%	(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
	57.6%	(fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y)))
	25.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
	44.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal 1 binary64) x)))
✓	25.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
	8.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
	8.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
	58.2%	(.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))))
	59.9%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (*.f64 (neg.f64 z) (sin.f64 y))) x) x x))
	76.0%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y)) x) x x))
	62.5%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
	57.5%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (.f64 #s(approx (+ ( (neg (sin y)) z) (cos y)) (*.f64 (neg.f64 z) (sin.f64 y))) x) (pow.f64 x #s(literal -1 binary64)) x))
	58.1%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) x x))
	50.0%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
	51.6%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) x)) z)) y (/.f64 #s(literal 1 binary64) x))) x x))
	59.9%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x x))
✓	25.2%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 (neg.f64 (sin.f64 y)) z))
	8.4%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
	8.3%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) y)) z))
✓	8.7%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
	76.1%	#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) #s(approx (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (+.f64 (cos.f64 y) x)))
	25.9%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
✓	26.0%	#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
	20.2%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
	20.3%	#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
	26.4%	#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
	62.8%	#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
✓	62.6%	#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
	82.9%	#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))
✓	21.0%	#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

Compiler

Compiled 1 216 to 587 computations (51.7% saved)

regimes180.0ms (2.2%)

Memory

7.7MiB live, 136.3MiB allocated

Counts

58 → 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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (- (+ 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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) #s(literal 1/6 binary64)) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.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 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) 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)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) x)) z)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) #s(approx (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (+.f64 (cos.f64 y) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 (neg.f64 (sin.f64 y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y)) x) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (*.f64 (neg.f64 z) (sin.f64 y))) x) x x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (.f64 #s(approx (+ ( (neg (sin y)) z) (cos y)) (*.f64 (neg.f64 z) (sin.f64 y))) x) (pow.f64 x #s(literal -1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 z (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x) (pow.f64 x #s(literal -1 binary64)) x))
(/.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 #s(literal 1 binary64) (/.f64 (fma.f64 z (sin.f64 y) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (-.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #s(approx (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)) (.f64 (.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)))
(.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 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (-.f64 x (cos.f64 y))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z)))
(.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))))
(.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))))

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

Calls

4 calls:

74.0ms	x
51.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
36.0ms	z
16.0ms	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)

regimes138.0ms (1.7%)

Memory

8.3MiB live, 89.4MiB allocated

Counts

42 → 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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (- (+ 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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) #s(literal 1/6 binary64)) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.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 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) 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)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) x)) z)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) #s(approx (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (+.f64 (cos.f64 y) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 (neg.f64 (sin.f64 y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y)) x) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (*.f64 (neg.f64 z) (sin.f64 y))) x) x x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

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

Calls

4 calls:

56.0ms	y
55.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
12.0ms	z
12.0ms	x

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)

regimes101.0ms (1.2%)

Memory

-31.0MiB live, 126.9MiB allocated

Counts

41 → 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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (- (+ 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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) #s(literal 1/6 binary64)) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.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 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) 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)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) x)) z)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) #s(approx (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (+.f64 (cos.f64 y) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 (neg.f64 (sin.f64 y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y)) x) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (*.f64 (neg.f64 z) (sin.f64 y))) x) x x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y)))

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.2%	3	`x`
85.2%	1	`y`
98.7%	3	`z`
99.1%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes16.0ms (0.2%)

Memory

-0.2MiB live, 38.3MiB 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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (- (+ 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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) #s(literal 1/6 binary64)) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.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 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) 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)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) x)) z)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) #s(approx (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (+.f64 (cos.f64 y) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 (neg.f64 (sin.f64 y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y)) x) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (*.f64 (neg.f64 z) (sin.f64 y))) x) x x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))

Outputs

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

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes41.0ms (0.5%)

Memory

20.1MiB live, 95.6MiB allocated

Counts

39 → 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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (- (+ 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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) #s(literal 1/6 binary64)) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.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 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) 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)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) x)) z)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) #s(approx (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (+.f64 (cos.f64 y) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 (neg.f64 (sin.f64 y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (cos.f64 y)) x) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) (*.f64 (neg.f64 z) (sin.f64 y))) x) x x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z)))

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.7%	3	`z`
98.5%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
89.4%	3	`x`

Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes15.0ms (0.2%)

Memory

-11.3MiB live, 33.0MiB allocated

Counts

33 → 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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (- (+ 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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) #s(literal 1/6 binary64)) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.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 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) 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)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) x)) z)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) #s(approx (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (+.f64 (cos.f64 y) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 (neg.f64 (sin.f64 y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.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

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes44.0ms (0.5%)

Memory

17.1MiB live, 94.8MiB 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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (- (+ 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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) #s(literal 1/6 binary64)) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.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 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) 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)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) x)) z)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) #s(approx (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (+.f64 (cos.f64 y) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 (neg.f64 (sin.f64 y)) z))

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)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
83.6%	4	`y`
76.1%	1	`x`
76.1%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
85.5%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes27.0ms (0.3%)

Memory

-26.0MiB live, 57.0MiB allocated

Counts

30 → 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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (- (+ 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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) #s(literal 1/6 binary64)) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.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 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) 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)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) x)) z)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) #s(approx (+ (* (/ (+ (* (neg z) (sin y)) (cos y)) x) x) x) (+.f64 (cos.f64 y) x)))

Outputs

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

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

Calls

2 calls:

11.0ms	z
9.0ms	y

Results

Accuracy	Segments	Branch
81.9%	3	`y`
80.5%	3	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes40.0ms (0.5%)

Memory

7.5MiB live, 85.0MiB allocated

Counts

28 → 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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (- (+ 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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) #s(literal 1/6 binary64)) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.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 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 z y)))))
#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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) 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)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 #s(approx (+ ( 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (.f64 #s(approx (neg (sin y)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) y)) z))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (/.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) x)) y (/.f64 #s(literal 1 binary64) x))) x x))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 #s(approx (+ (* (+ (* (/ (* z y) x) 1/6) (/ -1/2 x)) y) (/ (neg z) x)) (.f64 (fma.f64 (.f64 y (/.f64 y x)) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) x)) z)) y (/.f64 #s(literal 1 binary64) x))) x x))
#s(approx (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) y (/.f64 (neg.f64 z) x)) y (/.f64 #s(literal 1 binary64) x))) x x))

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.9%	2	`x`
62.8%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
67.0%	3	`z`
68.5%	3	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

17 → 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 (/ 1 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (neg.f64 z)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (- (+ 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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2)))) (fma.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) x x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) #s(literal 1/6 binary64)) y)) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* (+ (* 1/6 (* z y)) -1/2) y) z) (.f64 (.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 #s(approx (+ 1 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.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 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) #s(literal -1/2 binary64)) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#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 (/ (- x (+ (* (neg z) (sin y)) (cos y))) (- (* x x) (pow (+ (* (neg z) (sin y)) (cos y)) 2))) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.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))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
68.5%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

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

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))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
68.4%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

-7.2MiB live, 32.0MiB allocated

Counts

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

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

Calls

4 calls:

4.0ms	y
2.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
62.6%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
62.6%	1	`z`
62.6%	1	`x`
62.6%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes8.0ms (0.1%)

Memory

-25.8MiB live, 16.9MiB 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:

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

Results

Accuracy	Segments	Branch
21.0%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
21.0%	1	`y`
21.0%	1	`z`
21.0%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch35.0ms (0.4%)

Memory

17.6MiB live, 95.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9.266609239210886e-47	7.365652341515222e-46
19.0ms	-21221103278179544.0	-8765337.542036692

Samples

21.0ms

240×

valid

Compiler

Compiled 267 to 299 computations (-12% saved)

Precisions

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

ival-cos: 5.0ms (34.5% of total)

ival-sin: 5.0ms (34.5% of total)

ival-mult: 2.0ms (13.8% of total)

ival-sub: 1.0ms (6.9% of total)

ival-add: 1.0ms (6.9% of total)

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

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

bsearch2.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.266609239210886e-47	7.365652341515222e-46
1.0ms	-21221103278179544.0	-8765337.542036692

Compiler

Compiled 267 to 299 computations (-12% saved)

bsearch42.0ms (0.5%)

Memory

-19.0MiB live, 141.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.8945816290149446	2151.6004809448777
23.0ms	-1968703637327.514	-260.60780912087756

Samples

28.0ms

288×

valid

Compiler

Compiled 264 to 320 computations (-21.2% saved)

Precisions

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

ival-cos: 7.0ms (34.4% of total)

ival-sin: 7.0ms (34.4% of total)

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

ival-add: 2.0ms (9.8% of total)

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

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

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

bsearch2.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.8945816290149446	2151.6004809448777
1.0ms	-1968703637327.514	-260.60780912087756

Compiler

Compiled 264 to 320 computations (-21.2% saved)

bsearch41.0ms (0.5%)

Memory

8.7MiB live, 129.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.4221968237157666e+71	2.4172446486942106e+83
18.0ms	-6.229032531228599e+185	-3.9109613357042576e+177

Samples

26.0ms

304×

valid

Compiler

Compiled 221 to 299 computations (-35.3% saved)

Precisions

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

ival-cos: 6.0ms (34.1% of total)

ival-sin: 6.0ms (34.1% of total)

ival-add: 2.0ms (11.4% of total)

ival-mult: 2.0ms (11.4% of total)

ival-sub: 1.0ms (5.7% of total)

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

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

bsearch46.0ms (0.6%)

Memory

-20.8MiB live, 101.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1073692929839.3258	1.8388953732194884e+28
17.0ms	-0.002944840109449972	-3.836160709713303e-15

Samples

29.0ms

320×

valid

Compiler

Compiled 432 to 434 computations (-0.5% saved)

Precisions

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

ival-cos: 8.0ms (37.8% of total)

ival-sin: 6.0ms (28.3% of total)

ival-add: 2.0ms (9.4% of total)

ival-mult: 2.0ms (9.4% of total)

ival-sub: 1.0ms (4.7% of total)

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

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

bsearch46.0ms (0.6%)

Memory

20.7MiB live, 99.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1073692929839.3258	1.8388953732194884e+28
23.0ms	-28540391588.94693	-0.002944840109449972

Samples

30.0ms

288×

valid

Compiler

Compiled 412 to 434 computations (-5.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-cos: 9.0ms (40.6% of total)

ival-sin: 8.0ms (36.1% of total)

ival-mult: 2.0ms (9% of total)

ival-sub: 1.0ms (4.5% of total)

ival-add: 1.0ms (4.5% of total)

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

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

bsearch33.0ms (0.4%)

Memory

-11.5MiB live, 69.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.092638120992727e+43	1.799147296093571e+44
18.0ms	-885321986146.6566	-28540391588.94693

Samples

23.0ms

192×

valid

Compiler

Compiled 192 to 230 computations (-19.8% saved)

Precisions

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

ival-sin: 7.0ms (38.2% of total)

ival-cos: 6.0ms (32.7% of total)

ival-sub: 2.0ms (10.9% of total)

ival-add: 1.0ms (5.5% of total)

ival-mult: 1.0ms (5.5% of total)

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

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

bsearch24.0ms (0.3%)

Memory

12.8MiB live, 52.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	7.092638120992727e+43	1.799147296093571e+44
13.0ms	-1.4235450288954215e+53	-4.7872319522772596e+52

Samples

17.0ms

144×

valid

Compiler

Compiled 122 to 164 computations (-34.4% saved)

Precisions

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

ival-cos: 5.0ms (42.1% of total)

ival-sin: 5.0ms (42.1% of total)

ival-sub: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

ival-mult: 1.0ms (8.4% of total)

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

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

simplify29.0ms (0.4%)

Memory

-4.4MiB live, 74.5MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative-binary64-+.f64`
22×	`-commutative-binary64-.f64`
22×	`sub-neg-binary64-neg.f64-+.f64--.f64`
12×	`cancel-sign-sub-inv-binary64-neg.f64-+.f64-*.f64--.f64`
8×	`neg-sub0-binary64--.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	501
1	134	501
2	153	501
3	160	501
4	164	501
5	165	501

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -9000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 1156995391866473/1606938044258990275541962092341162602522202993782792835301376 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 x #s(literal -9000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 1156995391866473/1606938044258990275541962092341162602522202993782792835301376 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -265 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 z #s(literal -265 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3152519739159347/2251799813685248 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 -1900000000000000004672951806079784375881423639912091384473095060808216990418938561893403615119464170639802111187172013752764981395383338844247623325983265485804680715865761231212118016 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 200000000000000006161332646193051381554050408015286692692179488138827970582662873088 binary64)) #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)))))
(if (<=.f64 y #s(literal -1498797955988901/576460752303423488 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1100000000000 binary64)) #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))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -2871044762448691/562949953421312 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 1450000000000000000 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))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -46000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 116000000000000007063652729584876759472406528 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 (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -57999999999999999606815023112974422634779089632755712 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 84000000000000000675549766744926322738331648 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #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))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -9000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 1156995391866473/1606938044258990275541962092341162602522202993782792835301376 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 x #s(literal -9000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 1156995391866473/1606938044258990275541962092341162602522202993782792835301376 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) #s(approx (+ (cos y) x) (cos.f64 y))) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y)))))
(if (<=.f64 x #s(literal -9000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 1156995391866473/1606938044258990275541962092341162602522202993782792835301376 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))))
(if (<=.f64 x #s(literal -9000000 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 1156995391866473/1606938044258990275541962092341162602522202993782792835301376 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (.f64 z (sin.f64 y))) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -265 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 z #s(literal -265 binary64)) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))))
(if (<=.f64 z #s(literal -265 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3152519739159347/2251799813685248 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 -265 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3152519739159347/2251799813685248 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 x (cos.f64 y))) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -1900000000000000004672951806079784375881423639912091384473095060808216990418938561893403615119464170639802111187172013752764981395383338844247623325983265485804680715865761231212118016 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 200000000000000006161332646193051381554050408015286692692179488138827970582662873088 binary64)) #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)))))
(if (<=.f64 z #s(literal -1900000000000000004672951806079784375881423639912091384473095060808216990418938561893403615119464170639802111187172013752764981395383338844247623325983265485804680715865761231212118016 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 200000000000000006161332646193051381554050408015286692692179488138827970582662873088 binary64)) #s(approx (- (+ x (cos y)) ( z (sin y))) (+.f64 x (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))
(if (<=.f64 y #s(literal -1498797955988901/576460752303423488 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1100000000000 binary64)) #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))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -1498797955988901/576460752303423488 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 1100000000000 binary64)) #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))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y)))))
(if (<=.f64 y #s(literal -2871044762448691/562949953421312 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 1450000000000000000 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))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -46000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 116000000000000007063652729584876759472406528 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 (- (+ x (cos y)) ( z (sin y))) (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 y #s(literal -57999999999999999606815023112974422634779089632755712 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 84000000000000000675549766744926322738331648 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #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))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

soundness1.0s (12.4%)

Memory

7.7MiB live, 683.5MiB allocated

Rules

10 746×	`lower-fma.f64`
10 746×	`lower-fma.f32`
8 410×	`lower-fma.f64`
8 410×	`lower-fma.f32`
5 924×	`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
0	8	19
0	13	19
1	47	19
2	388	19
3	5630	19
0	8225	19
0	764	8193
1	2381	7941
2	7745	7927
0	8285	7533

Stop Event

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

Compiler

Compiled 577 to 314 computations (45.6% saved)

preprocess82.0ms (1%)

Memory: 5.9MiB live, 114.7MiB allocated
Compiler: Compiled 610 to 204 computations (66.6% 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%)

sample1.2s (14.8%)

explain113.0ms (1.4%)

preprocess66.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify19.0ms (0.2%)

localize33.0ms (0.4%)

series44.0ms (0.5%)

simplify143.0ms (1.7%)

rewrite220.0ms (2.7%)

eval58.0ms (0.7%)

prune24.0ms (0.3%)

simplify164.0ms (2%)

localize138.0ms (1.7%)

series80.0ms (1%)

simplify322.0ms (3.9%)

rewrite233.0ms (2.8%)

eval400.0ms (4.8%)

prune123.0ms (1.5%)

simplify243.0ms (2.9%)

localize214.0ms (2.6%)

series75.0ms (0.9%)

simplify268.0ms (3.2%)

rewrite209.0ms (2.5%)

eval215.0ms (2.6%)

prune55.0ms (0.7%)

simplify127.0ms (1.5%)

localize150.0ms (1.8%)

series88.0ms (1.1%)

simplify206.0ms (2.5%)

rewrite308.0ms (3.7%)

eval370.0ms (4.5%)

prune303.0ms (3.7%)

regimes180.0ms (2.2%)

regimes138.0ms (1.7%)

regimes101.0ms (1.2%)

regimes16.0ms (0.2%)

regimes41.0ms (0.5%)

regimes15.0ms (0.2%)

regimes44.0ms (0.5%)

regimes27.0ms (0.3%)

regimes40.0ms (0.5%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch35.0ms (0.4%)

bsearch2.0ms (0%)

bsearch42.0ms (0.5%)

bsearch2.0ms (0%)

bsearch41.0ms (0.5%)

bsearch46.0ms (0.6%)

bsearch46.0ms (0.6%)

bsearch33.0ms (0.4%)

bsearch24.0ms (0.3%)

simplify29.0ms (0.4%)

soundness1.0s (12.4%)

preprocess82.0ms (1%)

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