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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (11.6%)

Memory

38.5MiB live, 2 076.5MiB allocated

Samples

992.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 664.0ms

ival-cos: 273.0ms (41.1% of total)

ival-sin: 210.0ms (31.6% of total)

ival-mult: 136.0ms (20.5% of total)

ival-sub: 38.0ms (5.7% of total)

ival-true: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess52.0ms (0.4%)

Memory

38.7MiB live, 76.7MiB allocated

Algorithm

1×	egg-herbie

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
178×	`distribute-lft-neg-in`
166×	`associate-r`
148×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	90	84
2	169	84
3	375	84
4	665	84
5	872	84
6	1052	84
7	1105	84
8	1113	84
9	1117	84
0	8	9
0	13	9
1	20	9
2	32	9
3	44	9
4	65	9
5	95	9
6	153	9
7	223	9
8	282	9
9	311	9
10	327	9
0	327	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)))

explain116.0ms (0.9%)

Memory

-24.9MiB live, 186.6MiB allocated

FPErrors

Click to see full error table

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

53.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-cos: 11.0ms (29.8% of total)

ival-sin: 11.0ms (29.8% of total)

ival-sub: 8.0ms (21.7% of total)

ival-mult: 6.0ms (16.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify38.0ms (0.3%)

Memory

-24.8MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

208×	`lower-fma.f64`
208×	`lower-fma.f32`
144×	`lower-*.f32`
140×	`lower-*.f64`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	223	24
8	282	24
9	311	24
10	327	24
0	327	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)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize33.0ms (0.3%)

Memory

11.9MiB live, 49.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.7%	(*.f64 x (cos.f64 y))

Samples

23.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 5.0ms (33.7% of total)

ival-sin: 5.0ms (33.7% of total)

ival-mult: 3.0ms (20.2% of total)

ival-sub: 1.0ms (6.7% of total)

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

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

series7.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt (*.f64 z (sin.f64 y))>

Outputs
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>

Calls

24 calls:

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

rewrite484.0ms (3.9%)

Memory

6.3MiB live, 744.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 986×	`lower-fma.f64`
10 986×	`lower-fma.f32`
4 356×	`lower-*.f32`
4 352×	`lower-*.f64`
3 866×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	33	19
2	210	19
3	1964	19
0	8379	19

Stop Event

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

Counts

4 → 231

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
(+.f64 (.f64 x (cos.f64 y)) (neg.f64 (.f64 z (sin.f64 y))))
(+.f64 (neg.f64 (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y)))
(+.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (neg.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))))
(+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y))))
(-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 9 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))) #s(literal 3 binary64))))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 9 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))) #s(literal 3 binary64))))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 z (.f64 z (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 z (.f64 z (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 9 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))) #s(literal 3 binary64))))) (fma.f64 z (.f64 z (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))))))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 9 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))) #s(literal 3 binary64))))) (fma.f64 z (.f64 z (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 z (.f64 z (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))))))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 z (.f64 z (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (.f64 (cos.f64 y) (.f64 x (.f64 z (sin.f64 y)))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
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(*.f64 (sin.f64 y) z)
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y))))

simplify542.0ms (4.3%)

Memory

-39.2MiB live, 592.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 044×	`lower-fma.f64`
12 044×	`lower-fma.f32`
4 682×	`lower-*.f64`
4 682×	`lower-*.f32`
1 796×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	624
1	292	619
2	837	613
3	2075	607
4	3601	607
5	6258	607
0	8452	586

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

eval39.0ms (0.3%)

Memory: 12.1MiB live, 89.4MiB allocated
Compiler: Compiled 15 422 to 728 computations (95.3% saved)

prune49.0ms (0.4%)

Memory

14.6MiB live, 134.4MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	313	12	325
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	313	13	326

Accuracy

99.9%

Counts

326 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.6%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
▶	53.8%	(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
	63.7%	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
	26.7%	(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))))
	39.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	56.2%	(-.f64 (.f64 x (cos.f64 y)) (.f64 y (fma.f64 (.f64 z (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z)))
	53.6%	(-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y))
▶	55.1%	(-.f64 x (*.f64 z y))
	27.3%	(.f64 (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 2 binary64))))
	56.4%	(*.f64 x (cos.f64 y))
▶	44.6%	(neg.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 842 to 366 computations (56.5% saved)

simplify240.0ms (1.9%)

Memory

18.0MiB live, 448.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
✓	cost-diff	960	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(neg.f64 (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(*.f64 y #s(literal 1/6 binary64))
✓	cost-diff	0	(fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	(fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(-.f64 x (*.f64 z y))
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

Rules

5 814×	`lower-fma.f32`
5 806×	`lower-fma.f64`
3 390×	`lower-*.f32`
3 374×	`lower-*.f64`
2 228×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	220
0	64	210
1	130	209
2	319	208
3	995	203
4	3609	203
5	6820	203
0	8201	199

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(-.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)
(-.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
y
(fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))
(fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))
z
(*.f64 y #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(neg.f64 z)
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))
(cos.f64 (+.f64 y y))
(+.f64 y y)
y
(neg.f64 (*.f64 z z))
(*.f64 z z)
z
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
#s(literal 0 binary64)
(*.f64 z (sin.f64 y))
(sin.f64 y)
(*.f64 x (cos.f64 y))
x
(cos.f64 y)

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

localize332.0ms (2.7%)

Memory

-9.0MiB live, 363.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
✓	accuracy	87.8%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
✓	accuracy	76.0%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	67.1%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(neg.f64 (*.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
✓	accuracy	99.9%	(fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	100.0%	(-.f64 x (*.f64 z y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.7%	(*.f64 x (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))

Samples

70.0ms	93×	1	valid
47.0ms	126×	0	valid
26.0ms	32×	2	valid
26.0ms	5×	3	valid

Compiler

Compiled 222 to 40 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-cos: 32.0ms (27.7% of total)

ival-mult: 24.0ms (20.8% of total)

ival-sin: 17.0ms (14.7% of total)

adjust: 11.0ms (9.5% of total)

ival-add: 9.0ms (7.8% of total)

ival-div: 7.0ms (6.1% of total)

const: 5.0ms (4.3% of total)

ival-sub: 5.0ms (4.3% of total)

ival-neg: 4.0ms (3.5% of total)

exact: 1.0ms (0.9% of total)

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

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

series43.0ms (0.3%)

Memory

-18.2MiB live, 95.9MiB allocated

Counts

18 → 492

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))>
#<alt (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (-.f64 x (*.f64 z y))>
#<alt (*.f64 z y)>
#<alt (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)>
#<alt (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))>
#<alt (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))>
#<alt (*.f64 y #s(literal 1/6 binary64))>
#<alt (neg.f64 (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))>
#<alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))>
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))>

Outputs
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (/ -1 (* z (sin y)))>
#<alt (- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))>
#<alt (- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)>
#<alt (/ 1 (* x (cos y)))>
#<alt (* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (* y z) (pow x 2)))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (- (* x (cos y)) (* z (sin y))))>
#<alt (/ 1 (* x (cos y)))>
#<alt (+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))>
#<alt (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))>
#<alt (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))>
#<alt (/ -1 (* z (sin y)))>
#<alt (/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)>
#<alt (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)>
#<alt (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)>
#<alt (/ -1 (* z (sin y)))>
#<alt (* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))>
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* -1 (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (- (/ x z) y))>
#<alt (* z (- (/ x z) y))>
#<alt (* z (- (/ x z) y))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 y))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (/ x y) z))>
#<alt (* y (- (/ x y) z))>
#<alt (* y (- (/ x y) z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 z))))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z)))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z))))>
#<alt (* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z))))>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))>
#<alt (+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))>
#<alt (* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))>
#<alt (* z (+ (* -1/2 (/ (* x (pow y 2)) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))>
#<alt (* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z)))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z)))>
#<alt (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y (- (* 1/6 (* (pow y 2) z)) z)))>
#<alt (* x (+ 1 (* -1/2 (pow y 2))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))>
#<alt (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))>
#<alt (* -1 (* x (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 z)>
#<alt (- (* -1/2 (* x y)) z)>
#<alt (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)>
#<alt (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z))))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z))))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ z y)) y)) (* 1/6 z)))>
#<alt (* -1/2 (* x y))>
#<alt (+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (+ (* -1/2 (* x y)) (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1))>
#<alt (* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1))>
#<alt (* z (- (+ (* -1/2 (/ (* x y) z)) (* 1/6 (pow y 2))) 1))>
#<alt (* -1 (* z (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))))>
#<alt (* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))))>
#<alt (* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ (* x y) z))))))>
#<alt (- (* 1/6 (* (pow y 2) z)) z)>
#<alt (- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z)>
#<alt (- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z)>
#<alt (- (+ (* -1/2 (* x y)) (* 1/6 (* (pow y 2) z))) z)>
#<alt (* -1/2 (* x y))>
#<alt (* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x)))>
#<alt (* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x)))>
#<alt (* x (- (+ (* -1/2 y) (* 1/6 (/ (* (pow y 2) z) x))) (/ z x)))>
#<alt (* -1/2 (* x y))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 1/6 (* (pow y 2) z)) z) x)) (* 1/2 y))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (* 1/6 (* y z))>
#<alt (* z (+ (* -1/2 (/ x z)) (* 1/6 y)))>
#<alt (* z (+ (* -1/2 (/ x z)) (* 1/6 y)))>
#<alt (* z (+ (* -1/2 (/ x z)) (* 1/6 y)))>
#<alt (* 1/6 (* y z))>
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (* 1/6 (* y z))>
#<alt (* y (+ (* -1/2 (/ x y)) (* 1/6 z)))>
#<alt (* y (+ (* -1/2 (/ x y)) (* 1/6 z)))>
#<alt (* y (+ (* -1/2 (/ x y)) (* 1/6 z)))>
#<alt (* 1/6 (* y z))>
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y)))))>
#<alt (* 1/6 (* y z))>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (+ (* -1/2 x) (* 1/6 (* y z)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/6 (/ (* y z) x)) 1/2))>
#<alt (* x (- (* 1/6 (/ (* y z) x)) 1/2))>
#<alt (* x (- (* 1/6 (/ (* y z) x)) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x)))))>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* 1/6 y)>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))>
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1 (* y (- (* -1/3 z) (* -1/6 z)))) (* -1/2 x))))))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2)))))>
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2))))))>
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow z 2)) (* 1/315 (* (pow y 2) (pow z 2)))))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* y z))>
#<alt (/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)>
#<alt (/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)>
#<alt (/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>

Calls

123 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ 1 (- (* x (cos y)) (* z (sin y))))
3.0ms	x	@	inf	(+ (* y (+ (* y (+ (* z (* y 1/6)) (* x -1/2))) (neg z))) x)
2.0ms	y	@	-inf	(/ 1 (- (* x (cos y)) (* z (sin y))))
1.0ms	y	@	inf	(+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y)))
1.0ms	y	@	-inf	(+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y)))

rewrite461.0ms (3.7%)

Memory

11.8MiB live, 682.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 838×	`lower-fma.f32`
6 830×	`lower-fma.f64`
3 872×	`lower-*.f32`
3 856×	`lower-*.f64`
3 540×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	155
0	64	132
1	258	122
2	2050	118
0	8877	114

Stop Event

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

Counts

18 → 1 195

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(-.f64 x (*.f64 z y))
(*.f64 z y)
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z))
(fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64)))
(*.f64 y #s(literal 1/6 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(sin.f64 y)
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 0 binary64))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(+.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)))))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64)) (.f64 z (sin.f64 y)))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))))
(-.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (-.f64 (.f64 x (cos.f64 y)) #s(literal 0 binary64)) (.f64 z (sin.f64 y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 z (sin.f64 y)))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (fma.f64 x (cos.f64 y) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (-.f64 (.f64 x (cos.f64 y)) #s(literal 0 binary64)) #s(literal 1 binary64)) (.f64 z (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x))))) (/.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64) (.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 z (/.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (/.f64 z #s(literal 1 binary64)) (*.f64 x (cos.f64 y)))
(fma.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (.f64 z (sin.f64 y)) #s(literal 1 binary64) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 z (sin.f64 y)) #s(literal -1 binary64) (.f64 x (cos.f64 y)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 (.f64 z z) (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (.f64 z (neg.f64 z)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y)))) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 z (neg.f64 z)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 x (cos.f64 y)))
(fma.f64 #s(literal -1 binary64) (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (.f64 x (cos.f64 y)))
(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y)))
(fma.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)))) #s(literal 0 binary64))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (.f64 z z) (.f64 z (sin.f64 y))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z) (/.f64 (.f64 z z) (neg.f64 (sin.f64 y))) (.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (.f64 z z) (neg.f64 (sin.f64 y))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) z) (.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (sin.f64 y)) (/.f64 (.f64 z (neg.f64 z)) z) (.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (.f64 z (neg.f64 z)) z) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (sin.f64 y)) (/.f64 #s(literal 1 binary64) z) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 z (neg.f64 z)) (.f64 x (cos.f64 y)))
(fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (cos.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) #s(literal 0 binary64))
(neg.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x)))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x))) (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 x x) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (.f64 x (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal -1 binary64))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (sin.f64 y))
(.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))) (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))) (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) z)))
(/.f64 (.f64 z (sin.f64 y)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (*.f64 z z)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) z)) (neg.f64 (neg.f64 (sin.f64 y))))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 z (sin.f64 y)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal -3 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z)))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 (/.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (.f64 z (sin.f64 y)))
(.f64 (pow.f64 (.f64 z (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))

simplify460.0ms (3.7%)

Memory

-6.3MiB live, 718.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 110×	`lower-fma.f64`
9 110×	`lower-fma.f32`
6 318×	`lower-*.f64`
6 318×	`lower-*.f32`
3 214×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	564	5217
1	1859	5068
2	6378	5013
0	8240	4758

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 482

Calls

Call 1

Inputs
(* -1 (* 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) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* 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)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos 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)))))
(/ -1 (* z (sin y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(/ 1 (* x (cos y)))
(/ (+ (/ 1 (cos y)) (/ (* z (sin y)) (* x (pow (cos y) 2)))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x)
(/ 1 (* x (cos y)))
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x))
(/ 1 x)
(+ (/ 1 x) (/ (* y z) (pow x 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 x)) (* -1 (/ (pow z 2) (pow x 3))))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (* 1/2 (/ 1 x))) (* -1 (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (- (* x (cos y)) (* z (sin y))))
(/ 1 (* x (cos y)))
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z)
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (/ (* x (cos y)) (pow (sin y) 2))) z)) (/ 1 (sin y))) z))
(* -1 (* 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) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* 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)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos 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)))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/2 (/ x y)) (* 1/6 z)))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* -1/2 (/ x y)) (* 1/6 z))))
(* (pow y 3) (- (+ (* -1/2 (/ x y)) (+ (* 1/6 z) (/ x (pow y 3)))) (/ z (pow y 2))))
(* 1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ z y)) (* -1/2 x)) y)) (* -1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)) y)) (* -1/6 z))))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ x (+ (* -1/2 (* x (pow y 2))) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
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(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
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(* z (+ (* -1/2 (/ x z)) (* 1/6 y)))
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(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ x z)))))
(* -1/2 x)
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(+ (* -1/2 x) (* 1/6 (* y z)))
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(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y)))))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y)))))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ x y)))))
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(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(+ (* -1/2 x) (* 1/6 (* y z)))
(* -1/2 x)
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(* x (- (* 1/6 (/ (* y z) x)) 1/2))
(* x (- (* 1/6 (/ (* y z) x)) 1/2))
(* -1/2 x)
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x)))))
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x)))))
(* -1 (* x (+ 1/2 (* -1/6 (/ (* y z) x)))))
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* 1/6 y)
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* 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)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1 (* y (- (* -1/3 z) (* -1/6 z)))) (* -1/2 x))))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))
(* x (cos y))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* -1 (* z (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
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(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(* x (cos y))
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(* x (cos y))
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(* 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)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2)))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2))))))
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(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
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(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
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(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
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(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
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(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
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(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* y z))
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))

Outputs
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(- (* x (cos y)) (* z (sin y)))
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(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(- (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))
(-.f64 (/.f64 #s(literal -1 binary64) (.f64 z (sin.f64 y))) (/.f64 (.f64 x (cos.f64 y)) (.f64 z (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z z) (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (cos.f64 y) (.f64 z (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))) (/.f64 #s(literal -1 binary64) (.f64 z (sin.f64 y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))
(fma.f64 x (-.f64 (.f64 x (neg.f64 (fma.f64 x (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 (.f64 z z) (.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))))) (/.f64 (cos.f64 y) (.f64 z (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (.f64 z (sin.f64 y))))
(/ 1 (* x (cos y)))
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(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z)))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z)))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z)))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z)))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z)))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 z (neg.f64 z)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) y)
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 y y) z) #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) z)) y) y (/.f64 #s(literal 1 binary64) z)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) z)) (/.f64 #s(literal 1/6 binary64) z)) (/.f64 #s(literal 1 binary64) z)) y)
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))

eval266.0ms (2.1%)

Memory: 27.4MiB live, 638.8MiB allocated
Compiler: Compiled 54 467 to 3 640 computations (93.3% saved)

prune274.0ms (2.2%)

Memory

-15.6MiB live, 567.6MiB allocated

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	1 942	30	1 972
Fresh	5	2	7
Picked	3	2	5
Done	0	1	1
Total	1 950	35	1 985

Accuracy

100.0%

Counts

1 985 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.0%	(fma.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)
	37.8%	(fma.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)
	37.9%	(fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)
	63.7%	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
	53.4%	(fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) (fma.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) x))
	37.8%	(fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) x)
	30.7%	(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	11.5%	(/.f64 (fma.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (fma.f64 y (.f64 z (.f64 y z)) (-.f64 (.f64 x x) (.f64 (*.f64 y (neg.f64 z)) x))))
	44.9%	(/.f64 (-.f64 (.f64 x (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (.f64 z (sin.f64 y)))
	20.1%	(/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)))
	29.7%	(/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x))
	34.7%	(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
	56.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x))
	18.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (.f64 y (neg.f64 z))))) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (*.f64 y z)))))
▶	56.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	39.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	44.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	55.1%	(-.f64 x (*.f64 z y))
	30.6%	(.f64 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	20.0%	(.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
	29.6%	(.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
	17.8%	(.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
	2.5%	(.f64 (.f64 y y) (.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))))
	49.9%	(*.f64 z (-.f64 (/.f64 x z) y))
▶	17.9%	(*.f64 z (neg.f64 y))
	18.1%	(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
	17.9%	(.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)))
	2.9%	(.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))
▶	88.3%	(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
	56.4%	(*.f64 x (cos.f64 y))
	29.9%	(neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
▶	17.9%	(neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))
	17.7%	(neg.f64 (.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
✓	44.6%	(neg.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 1 260 to 705 computations (44% saved)

simplify542.0ms (4.3%)

Memory

9.0MiB live, 442.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
✓	cost-diff	0	(.f64 y (.f64 y y))
✓	cost-diff	0	(fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)
✓	cost-diff	0	(.f64 z (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y))
✓	cost-diff	0	(neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 z (neg.f64 y))
✓	cost-diff	0	(*.f64 z (/.f64 (sin.f64 y) x))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
✓	cost-diff	704	(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))

Rules

20 028×	`lower-fma.f32`
20 018×	`lower-fma.f64`
4 060×	`lower-*.f32`
4 042×	`lower-*.f64`
3 392×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	198
0	58	186
1	131	186
2	368	186
3	1125	186
4	3959	184
5	7269	184
0	8209	183

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
x
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(cos.f64 y)
y
(*.f64 z (/.f64 (sin.f64 y) x))
z
(/.f64 (sin.f64 y) x)
(sin.f64 y)
(*.f64 z (neg.f64 y))
z
(neg.f64 y)
y
(fma.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)
y
(.f64 z (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)
#s(literal -1 binary64)
x
(neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))
(.f64 z (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y))
z
(fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)
(.f64 y (.f64 y y))
y
(*.f64 y y)
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y

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

localize178.0ms (1.4%)

Memory

-8.8MiB live, 77.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
✓	accuracy	99.7%	(*.f64 x (cos.f64 y))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
✓	accuracy	99.9%	(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
✓	accuracy	99.9%	(.f64 y (.f64 y y))
✓	accuracy	99.9%	(.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
✓	accuracy	98.8%	(.f64 z (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(fma.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)
✓	accuracy	99.9%	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
✓	accuracy	94.4%	(.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 z (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
✓	accuracy	99.8%	(/.f64 (sin.f64 y) x)
✓	accuracy	95.5%	(*.f64 z (/.f64 (sin.f64 y) x))
✓	accuracy	88.4%	(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))

Samples

121.0ms

256×

valid

Compiler

Compiled 200 to 38 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

const: 58.0ms (56.6% of total)

ival-mult: 19.0ms (18.5% of total)

ival-cos: 6.0ms (5.9% of total)

ival-div: 5.0ms (4.9% of total)

ival-add: 5.0ms (4.9% of total)

ival-sin: 5.0ms (4.9% of total)

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

ival-sub: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

20 → 432

Calls

Call 1

Inputs
#<alt (.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))>
#<alt (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))>
#<alt (cos.f64 y)>
#<alt (*.f64 z (/.f64 (sin.f64 y) x))>
#<alt (*.f64 z (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (fma.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)>
#<alt (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))>
#<alt (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))>
#<alt (*.f64 y y)>
#<alt (neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))>
#<alt (.f64 z (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y))>
#<alt (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)>
#<alt (.f64 y (.f64 y y))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (/.f64 (sin.f64 y) x)>
#<alt (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))>
#<alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))>

Outputs
#<alt (* -1 (* z (sin y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* y z) x)))>
#<alt (+ 1 (* y (- (* -1/2 y) (/ z x))))>
#<alt (+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* y z) x)>
#<alt (* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y z))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))))>
#<alt (+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (/ x (pow y 3)))))>
#<alt (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (/ x (pow y 3)))))>
#<alt (* 1/6 (* (pow y 3) z))>
#<alt (* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))>
#<alt x>
#<alt (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))>
#<alt (* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))>
#<alt (* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ x z)))))>
#<alt (* y (* z (- (* 1/6 (pow y 2)) 1)))>
#<alt (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt (+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))>
#<alt x>
#<alt (* x (+ 1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)))>
#<alt (* x (+ 1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)))>
#<alt (* x (+ 1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 1/6 (* (pow y 2) z)))>
#<alt (+ (* -1 z) (* 1/6 (* (pow y 2) z)))>
#<alt (+ (* -1 z) (* 1/6 (* (pow y 2) z)))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt -1>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1/6 (/ 1 (pow y 2))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))>
#<alt (* -1 (* y z))>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))>
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))>
#<alt (* 1/5040 (* (pow y 7) z))>
#<alt (* (pow y 7) (- (* -1/120 (/ z (pow y 2))) (* -1/5040 z)))>
#<alt (* (pow y 7) (- (* 1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* (pow y 7) (- (* -1 (/ z (pow y 6))) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))))>
#<alt (* 1/5040 (* (pow y 7) z))>
#<alt (* -1 (* (pow y 7) (- (* 1/120 (/ z (pow y 2))) (* 1/5040 z))))>
#<alt (* -1 (* (pow y 7) (- (* -1/6 (/ z (pow y 4))) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))))>
#<alt (* -1 (* (pow y 7) (- (/ z (pow y 6)) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))>
#<alt (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* -1/5040 (* (pow y 7) z))>
#<alt (* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))>
#<alt (* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))>
#<alt (* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))>
#<alt (* -1/5040 (* (pow y 7) z))>
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))>
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))>
#<alt (* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* -1/5040 (pow y 7))>
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 7))>
#<alt (* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 x)>
#<alt (+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))>
#<alt (+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))>
#<alt (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) x)) (* 5/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (/ 1 (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (/ y x)>
#<alt (* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (/ (sin y) x)>
#<alt (* 1/120 y)>
#<alt (* y (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* y (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* y (+ 1/120 (* -1/5040 (pow y 2))))>
#<alt (* -1/5040 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* -1/5040 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt 1/120>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>

Calls

108 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(* x (- (cos y) (* z (/ (sin y) x))))
2.0ms	z	@	0	(neg (* z (+ (* (* y (* y y)) (+ (* y (* y (+ (* (* y y) -1/5040) 1/120))) -1/6)) y)))
1.0ms	y	@	inf	(* x (- (cos y) (* z (/ (sin y) x))))
1.0ms	y	@	-inf	(* x (- (cos y) (* z (/ (sin y) x))))
1.0ms	y	@	inf	(neg (* z (+ (* (* y (* y y)) (+ (* y (* y (+ (* (* y y) -1/5040) 1/120))) -1/6)) y)))

rewrite806.0ms (6.5%)

Memory

-11.4MiB live, 299.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 812×	`lower-fma.f32`
8 802×	`lower-fma.f64`
4 634×	`lower-*.f32`
4 616×	`lower-*.f64`
3 540×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	162
0	58	150
1	226	150
2	1612	150
0	8620	150

Stop Event

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

Counts

20 → 661

Calls

Call 1

Inputs
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(cos.f64 y)
(*.f64 z (/.f64 (sin.f64 y) x))
(*.f64 z (neg.f64 y))
(neg.f64 y)
(fma.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)
(.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
(*.f64 y y)
(neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))
(.f64 z (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y))
(fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)
(.f64 y (.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(/.f64 (sin.f64 y) x)
(.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 x (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x)))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))) x))
(fma.f64 x (cos.f64 y) (.f64 x (neg.f64 (.f64 z (/.f64 (sin.f64 y) x)))))
(fma.f64 x (cos.f64 y) (.f64 (neg.f64 (.f64 z (/.f64 (sin.f64 y) x))) x))
(fma.f64 x (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (.f64 x (neg.f64 (.f64 z (/.f64 (sin.f64 y) x)))))
(fma.f64 x (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 z (/.f64 (sin.f64 y) x))) x))
(fma.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)) (.f64 x (neg.f64 (.f64 z (/.f64 (sin.f64 y) x)))))
(fma.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 z (/.f64 (sin.f64 y) x))) x))
(fma.f64 (cos.f64 y) x (.f64 x (neg.f64 (.f64 z (/.f64 (sin.f64 y) x)))))
(fma.f64 (cos.f64 y) x (.f64 (neg.f64 (.f64 z (/.f64 (sin.f64 y) x))) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (cos.f64 y))) (.f64 x (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (cos.f64 y))) (.f64 (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))) x))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (.f64 x (cos.f64 y))) #s(literal 1 binary64)) (.f64 x (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (.f64 x (cos.f64 y))) #s(literal 1 binary64)) (.f64 (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))) x))
(fma.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y)) (.f64 x (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x)))))
(fma.f64 #s(literal 1 binary64) (.f64 x (cos.f64 y)) (.f64 (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))) x))
(fma.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64) (.f64 x (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x)))))
(fma.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64) (.f64 (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))) x))
(fma.f64 (neg.f64 (.f64 x (cos.f64 y))) #s(literal -1 binary64) (.f64 x (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x)))))
(fma.f64 (neg.f64 (.f64 x (cos.f64 y))) #s(literal -1 binary64) (.f64 (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))) x))
(fma.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (.f64 x (neg.f64 (.f64 z (/.f64 (sin.f64 y) x)))))
(fma.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 z (/.f64 (sin.f64 y) x))) x))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) x (.f64 x (neg.f64 (.f64 z (/.f64 (sin.f64 y) x)))))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) x (.f64 (neg.f64 (.f64 z (/.f64 (sin.f64 y) x))) x))
(fma.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 x (neg.f64 (.f64 z (/.f64 (sin.f64 y) x)))))
(fma.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 z (/.f64 (sin.f64 y) x))) x))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)) x (.f64 x (neg.f64 (.f64 z (/.f64 (sin.f64 y) x)))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)) x (.f64 (neg.f64 (.f64 z (/.f64 (sin.f64 y) x))) x))
(fma.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 x (neg.f64 (.f64 z (/.f64 (sin.f64 y) x)))))
(fma.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 z (/.f64 (sin.f64 y) x))) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) x)))
(/.f64 (.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x) (fma.f64 (.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (neg.f64 (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (.f64 z (/.f64 (sin.f64 y) x)) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) x)) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (neg.f64 (.f64 z (/.f64 (sin.f64 y) x)))) #s(literal 3 binary64))) (fma.f64 (.f64 x (cos.f64 y)) (.f64 x (cos.f64 y)) (-.f64 (.f64 (.f64 x (neg.f64 (.f64 z (/.f64 (sin.f64 y) x)))) (.f64 x (neg.f64 (.f64 z (/.f64 (sin.f64 y) x))))) (.f64 (.f64 x (cos.f64 y)) (.f64 x (neg.f64 (.f64 z (/.f64 (sin.f64 y) x))))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 z (/.f64 (sin.f64 y) x))) x) #s(literal 3 binary64))) (fma.f64 (.f64 x (cos.f64 y)) (.f64 x (cos.f64 y)) (-.f64 (.f64 (.f64 (neg.f64 (.f64 z (/.f64 (sin.f64 y) x))) x) (.f64 (neg.f64 (.f64 z (/.f64 (sin.f64 y) x))) x)) (.f64 (.f64 x (cos.f64 y)) (.f64 (neg.f64 (.f64 z (/.f64 (sin.f64 y) x))) x)))))
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(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64)) (.f64 (.f64 y y) #s(literal -1/604800 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))))
(.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/25401600 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))

simplify492.0ms (3.9%)

Memory

-5.7MiB live, 766.7MiB allocated

Algorithm

1×	egg-herbie

Rules

16 496×	`lower-fma.f64`
16 496×	`lower-fma.f32`
5 752×	`lower-*.f64`
5 752×	`lower-*.f32`
4 218×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	343	3867
1	1106	3802
2	3500	3723
0	8269	3545

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 424

Calls

Call 1

Inputs
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* 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)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (- (* -1/2 y) (/ z x))))
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ 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) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(* -1 (/ (* z (sin y)) x))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* -1 (/ (* z (sin y)) x))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (/ (* z (sin y)) x))
(/ (- (* x (cos y)) (* z (sin y))) x)
(/ (- (* x (cos y)) (* z (sin y))) x)
(/ (- (* x (cos y)) (* z (sin y))) x)
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* y z) x)
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))))
(+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (/ x (pow y 3)))))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (/ x (pow y 3)))))
(* 1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))
x
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ x z)))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
x
(* x (+ 1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)))
(* x (+ 1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)))
(* x (+ 1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)))
x
(* -1 (* x (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 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))
(* 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))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* -1 z)
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
-1
(- (* 1/6 (pow y 2)) 1)
(- (* 1/6 (pow y 2)) 1)
(- (* 1/6 (pow y 2)) 1)
(* 1/6 (pow y 2))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* -1 (* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
(* -1 (* y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(* 1/5040 (* (pow y 7) z))
(* (pow y 7) (- (* -1/120 (/ z (pow y 2))) (* -1/5040 z)))
(* (pow y 7) (- (* 1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 7) (- (* -1 (/ z (pow y 6))) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))))
(* 1/5040 (* (pow y 7) z))
(* -1 (* (pow y 7) (- (* 1/120 (/ z (pow y 2))) (* 1/5040 z))))
(* -1 (* (pow y 7) (- (* -1/6 (/ z (pow y 4))) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z)))))
(* -1 (* (pow y 7) (- (/ z (pow y 6)) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* z (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* -1/5040 (* (pow y 7) z))
(* (pow y 7) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2)))))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (* 1/120 (/ z (pow y 2))))))
(* (pow y 7) (+ (* -1/6 (/ z (pow y 4))) (+ (* -1/5040 z) (+ (* 1/120 (/ z (pow y 2))) (/ z (pow y 6))))))
(* -1/5040 (* (pow y 7) z))
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (* 1/5040 z))))
(* -1 (* (pow y 7) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4)))))))
(* -1 (* (pow y 7) (+ (* -1 (/ z (pow y 6))) (+ (* -1/120 (/ z (pow y 2))) (+ (* 1/5040 z) (* 1/6 (/ z (pow y 4))))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* -1/5040 (pow y 7))
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 7))
(* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 x)
(+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) x)) (* 5/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(/ 1 (* x (cos y)))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(/ y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(/ (sin y) x)
(* 1/120 y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* -1/5040 (pow y 3))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 3))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))

Outputs
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (-.f64 (.f64 x (.f64 y #s(literal -1/2 binary64))) z) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (-.f64 (.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))) z) x)
(* x (- (cos y) (/ (* z (sin y)) x)))
(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(.f64 x (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 z x))))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* y z) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(+ 1 (* y (- (* -1/2 y) (/ z x))))
(fma.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 z (neg.f64 x))) #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(fma.f64 y (fma.f64 y (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 z x) #s(literal -1/2 binary64)) (/.f64 z (neg.f64 x))) #s(literal 1 binary64))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(- (cos y) (/ (* z (sin y)) x))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(* -1 (/ (* z (sin y)) x))
(/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (/ (* z (sin y)) x))
(/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)))
(* -1 (/ (* z (sin y)) x))
(/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))
(/ (- (* x (cos y)) (* z (sin y))) x)
(-.f64 (.f64 (cos.f64 y) #s(literal 1 binary64)) (.f64 (sin.f64 y) (/.f64 z x)))
(/ (- (* x (cos y)) (* z (sin y))) x)
(-.f64 (.f64 (cos.f64 y) #s(literal 1 binary64)) (.f64 (sin.f64 y) (/.f64 z x)))
(/ (- (* x (cos y)) (* z (sin y))) x)
(-.f64 (.f64 (cos.f64 y) #s(literal 1 binary64)) (.f64 (sin.f64 y) (/.f64 z x)))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))
(.f64 y (.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))
(.f64 y (fma.f64 (.f64 z (/.f64 (.f64 y y) x)) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (/.f64 z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))
(.f64 y (fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (/.f64 z x) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 z x))))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(/ (* z (sin y)) x)
(*.f64 (sin.f64 y) (/.f64 z x))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))))
(fma.f64 z (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)
(+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))))
(fma.f64 z (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)
(* 1/6 (* (pow y 3) z))
(.f64 y (.f64 y (.f64 (.f64 z y) #s(literal 1/6 binary64))))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(.f64 (.f64 y y) (neg.f64 (.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 z (.f64 y y))))))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (/ x (pow y 3)))))
(.f64 (.f64 y y) (.f64 y (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 x (.f64 y (.f64 y y))))))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (/ x (pow y 3)))))
(.f64 (.f64 y y) (.f64 y (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 x (.f64 y (.f64 y y))))))
(* 1/6 (* (pow y 3) z))
(.f64 y (.f64 y (.f64 (.f64 z y) #s(literal 1/6 binary64))))
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(.f64 (.f64 y y) (neg.f64 (.f64 y (fma.f64 z #s(literal -1/6 binary64) (/.f64 z (.f64 y y))))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))
(.f64 (.f64 y y) (.f64 y (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 x (.f64 y (.f64 y y))))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))
(.f64 (.f64 y y) (.f64 y (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 x (.f64 y (.f64 y y))))))
x
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
(fma.f64 z (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
(fma.f64 z (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
(fma.f64 z (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))
(.f64 z (fma.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 x z)))
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))
(.f64 z (fma.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 x z)))
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))
(.f64 z (fma.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 x z)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ x z)))))
(.f64 z (fma.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 x z)))
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ x z)))))
(.f64 z (fma.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 x z)))
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ x z)))))
(.f64 z (fma.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 x z)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
(fma.f64 z (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
(fma.f64 z (.f64 y (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) x)
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
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(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (.f64 y y) (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(* -1/5040 (pow y 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y))))
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))))
(* -1/5040 (pow y 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))
(* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (neg.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 y y)))))
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(.f64 (pow.f64 y #s(literal 7 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 y (.f64 x (.f64 y #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* 1/2 (/ (pow y 2) x)) (/ 1 x))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(fma.f64 (/.f64 (.f64 y y) x) (fma.f64 (.f64 y y) #s(literal 5/24 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) x)) (* 5/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(fma.f64 (.f64 y y) (fma.f64 (/.f64 (.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 61/720 binary64) #s(literal 5/24 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(/ 1 (* x (cos y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
x
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 y (.f64 x (.f64 y #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(/ y x)
(/.f64 y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (/.f64 (.f64 y y) x)) (/.f64 y x))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 y (.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (/.f64 y x))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(fma.f64 (.f64 y (.f64 y y)) (fma.f64 (/.f64 (.f64 y y) x) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) x)) (/.f64 y x))
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* 1/120 y)
(*.f64 y #s(literal 1/120 binary64))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* -1/5040 (pow y 3))
(.f64 y (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (.f64 y y) (.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y)))))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (.f64 y y) (.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y)))))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 (.f64 y y) (.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 y y)))))
(* -1/5040 (pow y 3))
(.f64 y (.f64 (*.f64 y y) #s(literal -1/5040 binary64)))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(.f64 (.f64 y y) (neg.f64 (.f64 y (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 y y))))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(.f64 (.f64 y y) (neg.f64 (.f64 y (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 y y))))))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(.f64 (.f64 y y) (neg.f64 (.f64 y (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 y y))))))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 y (.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 y (.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 y (.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* -1/5040 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/5040 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 y (.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 y (.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(.f64 y (.f64 y (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))

eval152.0ms (1.2%)

Memory: 25.5MiB live, 419.0MiB allocated
Compiler: Compiled 30 268 to 2 670 computations (91.2% saved)

prune150.0ms (1.2%)

Memory

-24.9MiB live, 505.2MiB allocated

Pruning

45 alts after pruning (40 fresh and 5 done)

	Pruned	Kept	Total
New	1 115	24	1 139
Fresh	11	16	27
Picked	3	2	5
Done	0	3	3
Total	1 129	45	1 174

Accuracy

100.0%

Counts

1 174 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.0%	(fma.f64 (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 y z) x)
	37.8%	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
	38.0%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
	37.8%	(fma.f64 y (.f64 z (.f64 y (*.f64 y #s(literal 1/6 binary64)))) x)
	37.9%	(fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)
	37.8%	(fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) x)
	31.3%	(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	1.4%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) (.f64 z z) (.f64 #s(literal 0 binary64) (*.f64 y z)))))
	5.8%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 z z))) (+.f64 #s(literal 0 binary64) (.f64 y z)))
	29.7%	(/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x))
▶	72.3%	(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
▶	56.4%	(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x))
	34.7%	(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
	18.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (.f64 y (neg.f64 z))))) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (*.f64 y z)))))
	56.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x))
	56.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
✓	56.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	39.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	44.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	37.6%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	55.1%	(-.f64 x (*.f64 z y))
▶	46.1%	(.f64 (fma.f64 y (/.f64 (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
	31.3%	(.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	20.0%	(.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
	29.6%	(.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
	17.8%	(.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
	12.8%	(.f64 (.f64 y y) (.f64 y (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 x (.f64 y (.f64 y y))))))
	2.5%	(.f64 (.f64 y y) (.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))))
	56.4%	(*.f64 (cos.f64 y) x)
	49.9%	(*.f64 z (-.f64 (/.f64 x z) y))
	9.3%	(.f64 z (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))))
	13.4%	(.f64 z (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
	17.7%	(.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
✓	17.9%	(*.f64 z (neg.f64 y))
	18.1%	(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
	2.9%	(.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))
	33.2%	(.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)))
	71.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x))))
▶	39.9%	(*.f64 x #s(literal 1 binary64))
	29.9%	(neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
	17.9%	(neg.f64 (.f64 z (fma.f64 (.f64 (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 y y)) y (fma.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64)) y))))
	17.9%	(neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y y)))
▶	17.7%	(neg.f64 (.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
✓	44.6%	(neg.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 1 396 to 836 computations (40.1% saved)

simplify201.0ms (1.6%)

Memory

1.3MiB live, 436.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	1088	(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(.f64 z (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 y (/.f64 (.f64 z (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) #s(literal -1 binary64))
✓	cost-diff	128	(/.f64 (.f64 z (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x))
✓	cost-diff	1152	(.f64 (fma.f64 y (/.f64 (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
✓	cost-diff	0	(.f64 (.f64 y y) #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64)) y)
✓	cost-diff	0	(.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))
✓	cost-diff	128	(neg.f64 (.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
✓	cost-diff	320	(*.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) x)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))

Rules

4 558×	`lower-fma.f32`
4 550×	`lower-fma.f64`
3 102×	`lower-*.f32`
3 082×	`lower-*.f64`
2 032×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	245
0	68	243
1	132	238
2	381	237
3	1246	234
4	3595	230
5	6951	230
0	8083	220

Stop Event

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

Calls

Call 1

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

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

localize145.0ms (1.2%)

Memory

0.8MiB live, 360.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.6%	(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	95.9%	(/.f64 (.f64 z (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x))
✓	accuracy	95.5%	(fma.f64 y (/.f64 (.f64 z (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) #s(literal -1 binary64))
✓	accuracy	94.4%	(.f64 z (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
✓	accuracy	92.3%	(.f64 (fma.f64 y (/.f64 (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 (.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
✓	accuracy	99.9%	(fma.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64)) y)
✓	accuracy	99.7%	(.f64 (.f64 y y) #s(literal -1/6 binary64))
✓	accuracy	95.6%	(.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))
✓	accuracy	100.0%	(*.f64 x #s(literal 1 binary64))
✓	accuracy	99.5%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	95.5%	(*.f64 z (/.f64 (sin.f64 y) x))
✓	accuracy	93.3%	(.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) x)
✓	accuracy	79.7%	(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))

Samples

92.0ms

256×

valid

Compiler

Compiled 247 to 42 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 20.0ms (30.3% of total)

ival-cos: 11.0ms (16.7% of total)

ival-div: 8.0ms (12.1% of total)

ival-add: 7.0ms (10.6% of total)

const: 7.0ms (10.6% of total)

ival-sin: 6.0ms (9.1% of total)

ival-neg: 4.0ms (6.1% of total)

ival-pow2: 2.0ms (3% of total)

ival-sub: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series54.0ms (0.4%)

Memory

2.8MiB live, 120.5MiB allocated

Counts

17 → 420

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* y (- (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))>
#<alt (+ x (* y (- (* y (- (+ (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))>
#<alt (/ (* x (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (/ (* x (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (/ (* x (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (/ (* x (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (/ (* x (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (/ (* x (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (/ (* x (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (/ (* x (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x)))>
#<alt (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (pow (sin y) 2) (* x (cos y))))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (- (+ (* -1 (sin y)) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1 (/ (* x (cos y)) z)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))>
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#<alt (* (pow y 2) (+ (* -1/6 (/ z x)) (/ z (* x (pow y 2)))))>
#<alt (* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))>
#<alt (* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))>
#<alt (* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))>
#<alt (* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))>
#<alt (* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))>
#<alt (* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))>
#<alt (* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))>
#<alt (* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))>
#<alt (* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))>
#<alt (* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))>
#<alt (* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))>
#<alt (* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))>
#<alt -1>
#<alt (- (/ (* y z) x) 1)>
#<alt (- (* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))) 1)>
#<alt (- (* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))) 1)>
#<alt (* -1/6 (/ (* (pow y 3) z) x))>
#<alt (* (pow y 3) (+ (* -1/6 (/ z x)) (/ z (* x (pow y 2)))))>
#<alt (* (pow y 3) (- (+ (* -1/6 (/ z x)) (/ z (* x (pow y 2)))) (/ 1 (pow y 3))))>
#<alt (* (pow y 3) (- (+ (* -1/6 (/ z x)) (/ z (* x (pow y 2)))) (/ 1 (pow y 3))))>
#<alt (* -1/6 (/ (* (pow y 3) z) x))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (* x (pow y 2)))) (* 1/6 (/ z x)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (* x (pow y 2)))) (+ (* 1/6 (/ z x)) (/ 1 (pow y 3))))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ z (* x (pow y 2)))) (+ (* 1/6 (/ z x)) (/ 1 (pow y 3))))))>
#<alt -1>
#<alt (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)>
#<alt (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)>
#<alt (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)>
#<alt (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x))>
#<alt (* z (- (* -1 (/ (* y (- (* 1/6 (pow y 2)) 1)) x)) (/ 1 z)))>
#<alt (* z (- (* -1 (/ (* y (- (* 1/6 (pow y 2)) 1)) x)) (/ 1 z)))>
#<alt (* z (- (* -1 (/ (* y (- (* 1/6 (pow y 2)) 1)) x)) (/ 1 z)))>
#<alt (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x))>
#<alt (* -1 (* z (+ (/ 1 z) (/ (* y (- (* 1/6 (pow y 2)) 1)) x))))>
#<alt (* -1 (* z (+ (/ 1 z) (/ (* y (- (* 1/6 (pow y 2)) 1)) x))))>
#<alt (* -1 (* z (+ (/ 1 z) (/ (* y (- (* 1/6 (pow y 2)) 1)) x))))>
#<alt (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x))>
#<alt (/ (+ (* -1 x) (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))) x)>
#<alt (/ (+ (* -1 x) (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))) x)>
#<alt (/ (+ (* -1 x) (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))) x)>
#<alt -1>
#<alt (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)>
#<alt (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)>
#<alt (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)>
#<alt -1>
#<alt (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)>
#<alt (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)>
#<alt (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* z (- (* 1/6 (pow y 2)) 1))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* 1/6 (* (pow y 2) z)))>
#<alt (+ (* -1 z) (* 1/6 (* (pow y 2) z)))>
#<alt (+ (* -1 z) (* 1/6 (* (pow y 2) z)))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* 1/6 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))>
#<alt x>
#<alt (+ x (* -1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt (* x (cos y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* y z) x)>
#<alt (* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>

Calls

105 calls:

Time	Variable		Point	Expression
14.0ms	z	@	-inf	(* (+ (* y (/ (* z (+ (* y (* y 1/6)) -1)) (neg x))) -1) (neg x))
4.0ms	x	@	0	(/ (* (- (+ 1/2 (* 1/2 (cos (+ y y)))) (pow (* z (/ (sin y) x)) 2)) x) (+ (* z (/ (sin y) x)) (cos y)))
2.0ms	x	@	-inf	(+ (* y (/ (* z (+ (* y (* y 1/6)) -1)) (neg x))) -1)
2.0ms	x	@	-inf	(/ (* (- (+ 1/2 (* 1/2 (cos (+ y y)))) (pow (* z (/ (sin y) x)) 2)) x) (+ (* z (/ (sin y) x)) (cos y)))
2.0ms	y	@	inf	(/ (* (- (+ 1/2 (* 1/2 (cos (+ y y)))) (pow (* z (/ (sin y) x)) 2)) x) (+ (* z (/ (sin y) x)) (cos y)))

rewrite361.0ms (2.9%)

Memory

20.3MiB live, 652.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 306×	`lower-fma.f32`
5 298×	`lower-fma.f64`
4 662×	`lower-*.f32`
4 642×	`lower-*.f64`
3 884×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	176
0	68	174
1	253	153
2	1838	153
0	8434	150

Stop Event

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

Counts

17 → 574

Calls

Call 1

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

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

simplify466.0ms (3.7%)

Memory

-3.6MiB live, 589.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 728×	`lower-fma.f64`
10 728×	`lower-fma.f32`
8 146×	`lower-*.f64`
8 146×	`lower-*.f32`
2 096×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	478	6044
1	1626	5882
2	6174	5730
0	8723	5437

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 400

Calls

Call 1

Inputs
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(+ x (* y (- (* y (- (+ (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)))))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z)))
(/ (* x (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x)))
(/ (* x (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x)))
(/ (* x (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x)))
(/ (* x (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x)))
(/ (* x (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x)))
(/ (* x (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x)))
(/ (* x (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x)))
(/ (* x (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))) (+ (cos y) (/ (* z (sin y)) x)))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* z (- (* z (- (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* z (- (* z (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3))))))) (* x (cos y)))) (* -1 (/ (pow (sin y) 2) (* x (cos y))))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (cos y) 3)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2)))) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (- (+ (* -1 (sin y)) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1 (/ (* x (cos y)) z)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))
(* z (- (+ (* -1 (sin y)) (+ (* -1 (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y)))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))) (+ (* -1 (/ (* x (cos y)) z)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))))) (* z (sin y)))) (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z)))))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (- (* x (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (pow (cos y) 2) (* z (sin y))))) (* -1 (cos y)))))
(+ (* -1 (* z (sin y))) (* x (- (* x (- (+ (* -1 (/ (* x (* (cos y) (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (pow (cos y) 2) (* z (sin y)))))) (* z (sin y)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))))) (/ (pow (cos y) 2) (* z (sin y))))) (* -1 (cos y)))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 3))))) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) (* -1 (/ (+ (* -1 (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* x (cos y)))) x))) x)))))
x
(+ x (* -1 (* x (* (pow y 2) (+ 1 (/ (pow z 2) (pow x 2)))))))
(+ x (* (pow y 2) (+ (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (* x (* (pow y 2) (- 1/3 (* -1/3 (/ (pow z 2) (pow x 2)))))))))
(+ x (* (pow y 2) (+ (* -1 (* x (+ 1 (/ (pow z 2) (pow x 2))))) (* (pow y 2) (+ (* -1 (* x (* (pow y 2) (+ 2/45 (* 2/45 (/ (pow z 2) (pow x 2))))))) (* x (- 1/3 (* -1/3 (/ (pow z 2) (pow x 2))))))))))
(* x (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))))
(* x (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))))
(* x (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))))
(* x (- (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))))
(* x (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))))
(* x (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))))
(* x (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))))
(* x (- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x)) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x)) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) x)) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) x))
(* (pow z 2) (+ (* -1 (/ (pow (sin y) 2) x)) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (/ (pow (sin y) 2) x)) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (/ (pow (sin y) 2) x)) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) x))
(* (pow z 2) (+ (* -1 (/ (pow (sin y) 2) x)) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (/ (pow (sin y) 2) x)) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (/ (pow (sin y) 2) x)) (/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) x))
(/ (+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)
(/ (+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)
(/ (+ (* -1 (* (pow z 2) (pow (sin y) 2))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) x)
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ 1/2 (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* x (+ 1/2 (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* x (+ 1/2 (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* x (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* -1 (* x (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))))
(* -1 (* x (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))))
(* -1 (* x (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))))
1
(+ 1 (* -1 (* (pow y 2) (+ 1 (/ (pow z 2) (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- 1/3 (* -1/3 (/ (pow z 2) (pow x 2))))) (+ 1 (/ (pow z 2) (pow x 2))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (+ 1/3 (* -1 (* (pow y 2) (+ 2/45 (* 2/45 (/ (pow z 2) (pow x 2))))))) (* -1/3 (/ (pow z 2) (pow x 2))))) (+ 1 (/ (pow z 2) (pow x 2))))))
(- (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))
(- (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))
(- (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))
(- (+ 1/2 (* 1/2 (cos (* 2 y)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))
(- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))
(- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))
(- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))
(- (+ 1/2 (* 1/2 (cos (neg (* -2 y))))) (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (* 1/2 (cos (* 2 y)))))
(+ 1/2 (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (* 1/2 (cos (* 2 y)))))
(+ 1/2 (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (* 1/2 (cos (* 2 y)))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))
(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2)))) (/ (pow (sin y) 2) (pow x 2))))
(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2)))) (/ (pow (sin y) 2) (pow x 2))))
(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2)))) (/ (pow (sin y) 2) (pow x 2))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))
(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2)))) (/ (pow (sin y) 2) (pow x 2))))
(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2)))) (/ (pow (sin y) 2) (pow x 2))))
(* (pow z 2) (- (+ (* 1/2 (/ (cos (* 2 y)) (pow z 2))) (* 1/2 (/ 1 (pow z 2)))) (/ (pow (sin y) 2) (pow x 2))))
(* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))) (pow x 2))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (sin y) 2))) (pow x 2))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (* 1/2 (cos (* 2 y)))))
(+ 1/2 (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (* 1/2 (cos (* 2 y)))))
(+ 1/2 (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (* 1/2 (cos (* 2 y)))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (* 1/2 (cos (* 2 y)))))
(+ 1/2 (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (* 1/2 (cos (* 2 y)))))
(+ 1/2 (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2))) (* 1/2 (cos (* 2 y)))))
x
x
x
x
x
x
x
x
x
x
x
x
(* -1 (* z (+ y (* -1/6 (pow y 3)))))
(* -1 (* z (+ y (* -1/6 (pow y 3)))))
(* -1 (* z (+ y (* -1/6 (pow y 3)))))
(* -1 (* z (+ y (* -1/6 (pow y 3)))))
(* -1 (* z (+ y (* -1/6 (pow y 3)))))
(* -1 (* z (+ y (* -1/6 (pow y 3)))))
(* -1 (* z (+ y (* -1/6 (pow y 3)))))
(* -1 (* z (+ y (* -1/6 (pow y 3)))))
(* -1 (* z (+ y (* -1/6 (pow y 3)))))
(* -1 (* z (+ y (* -1/6 (pow y 3)))))
(* -1 (* z (+ y (* -1/6 (pow y 3)))))
(* -1 (* z (+ y (* -1/6 (pow y 3)))))
(* -1 (* y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (- (* -1 (/ z (pow y 2))) (* -1/6 z)))
(* (pow y 3) (- (* -1 (/ z (pow y 2))) (* -1/6 z)))
(* (pow y 3) (- (* -1 (/ z (pow y 2))) (* -1/6 z)))
(* 1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (- (/ z (pow y 2)) (* 1/6 z))))
(* -1 (* (pow y 3) (- (/ z (pow y 2)) (* 1/6 z))))
(* -1 (* (pow y 3) (- (/ z (pow y 2)) (* 1/6 z))))
(* z (+ y (* -1/6 (pow y 3))))
(* z (+ y (* -1/6 (pow y 3))))
(* z (+ y (* -1/6 (pow y 3))))
(* z (+ y (* -1/6 (pow y 3))))
(* z (+ y (* -1/6 (pow y 3))))
(* z (+ y (* -1/6 (pow y 3))))
(* z (+ y (* -1/6 (pow y 3))))
(* z (+ y (* -1/6 (pow y 3))))
(* z (+ y (* -1/6 (pow y 3))))
(* z (+ y (* -1/6 (pow y 3))))
(* z (+ y (* -1/6 (pow y 3))))
(* z (+ y (* -1/6 (pow y 3))))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* -1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2))))
(* -1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))))
(+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (/ x (pow y 3)))))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (+ (* 1/6 z) (/ x (pow y 3)))))
(* 1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))
x
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z)))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (* -1 (/ x z)))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
(+ x (* y (* z (- (* 1/6 (pow y 2)) 1))))
x
(* x (+ 1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)))
(* x (+ 1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)))
(* x (+ 1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)))
x
(* -1 (* x (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(/ z x)
(+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))
(+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))
(+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))
(* -1/6 (/ (* (pow y 2) z) x))
(* (pow y 2) (+ (* -1/6 (/ z x)) (/ z (* x (pow y 2)))))
(* (pow y 2) (+ (* -1/6 (/ z x)) (/ z (* x (pow y 2)))))
(* (pow y 2) (+ (* -1/6 (/ z x)) (/ z (* x (pow y 2)))))
(* -1/6 (/ (* (pow y 2) z) x))
(* (pow y 2) (+ (* -1/6 (/ z x)) (/ z (* x (pow y 2)))))
(* (pow y 2) (+ (* -1/6 (/ z x)) (/ z (* x (pow y 2)))))
(* (pow y 2) (+ (* -1/6 (/ z x)) (/ z (* x (pow y 2)))))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
(* -1 (/ (* z (- (* 1/6 (pow y 2)) 1)) x))
-1
(- (/ (* y z) x) 1)
(- (* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))) 1)
(- (* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x))) 1)
(* -1/6 (/ (* (pow y 3) z) x))
(* (pow y 3) (+ (* -1/6 (/ z x)) (/ z (* x (pow y 2)))))
(* (pow y 3) (- (+ (* -1/6 (/ z x)) (/ z (* x (pow y 2)))) (/ 1 (pow y 3))))
(* (pow y 3) (- (+ (* -1/6 (/ z x)) (/ z (* x (pow y 2)))) (/ 1 (pow y 3))))
(* -1/6 (/ (* (pow y 3) z) x))
(* -1 (* (pow y 3) (+ (* -1 (/ z (* x (pow y 2)))) (* 1/6 (/ z x)))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (* x (pow y 2)))) (+ (* 1/6 (/ z x)) (/ 1 (pow y 3))))))
(* -1 (* (pow y 3) (+ (* -1 (/ z (* x (pow y 2)))) (+ (* 1/6 (/ z x)) (/ 1 (pow y 3))))))
-1
(- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)
(- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)
(- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)
(* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x))
(* z (- (* -1 (/ (* y (- (* 1/6 (pow y 2)) 1)) x)) (/ 1 z)))
(* z (- (* -1 (/ (* y (- (* 1/6 (pow y 2)) 1)) x)) (/ 1 z)))
(* z (- (* -1 (/ (* y (- (* 1/6 (pow y 2)) 1)) x)) (/ 1 z)))
(* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x))
(* -1 (* z (+ (/ 1 z) (/ (* y (- (* 1/6 (pow y 2)) 1)) x))))
(* -1 (* z (+ (/ 1 z) (/ (* y (- (* 1/6 (pow y 2)) 1)) x))))
(* -1 (* z (+ (/ 1 z) (/ (* y (- (* 1/6 (pow y 2)) 1)) x))))
(* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x))
(/ (+ (* -1 x) (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))) x)
(/ (+ (* -1 x) (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))) x)
(/ (+ (* -1 x) (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1))))) x)
-1
(- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)
(- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)
(- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)
-1
(- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)
(- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 1)
(- (* -1 (/ (* y (* z (- (* 1/6 (pow y 2)) 1))) x)) 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))
(* 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))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* -1 z)
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(+ (* -1 z) (* 1/6 (* (pow y 2) z)))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* y z) x)
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)

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

eval134.0ms (1.1%)

Memory: -16.7MiB live, 267.8MiB allocated
Compiler: Compiled 31 743 to 2 636 computations (91.7% saved)

prune177.0ms (1.4%)

Memory

26.7MiB live, 261.5MiB allocated

Pruning

50 alts after pruning (43 fresh and 7 done)

	Pruned	Kept	Total
New	985	10	995
Fresh	2	33	35
Picked	3	2	5
Done	0	5	5
Total	990	50	1 040

Accuracy

100.0%

Counts

1 040 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.0%	(fma.f64 (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 y z) x)
	37.8%	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
	37.8%	(fma.f64 (.f64 y y) (.f64 x #s(literal -1/2 binary64)) x)
	38.0%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
	37.8%	(fma.f64 y (.f64 z (.f64 y (*.f64 y #s(literal 1/6 binary64)))) x)
	37.9%	(fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)
	37.7%	(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	1.4%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) (.f64 z z) (.f64 #s(literal 0 binary64) (*.f64 y z)))))
	5.8%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 z z))) (+.f64 #s(literal 0 binary64) (.f64 y z)))
	29.7%	(/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x))
	56.4%	(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
✓	56.4%	(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x))
	34.7%	(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
	18.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (.f64 y (neg.f64 z))))) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (*.f64 y z)))))
	56.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x))
	56.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
✓	56.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	39.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	44.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	37.6%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	55.1%	(-.f64 x (*.f64 z y))
	37.8%	(.f64 (fma.f64 y (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z))) x) #s(literal -1 binary64)) (neg.f64 x))
	56.4%	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
	31.3%	(.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
	20.0%	(.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
	29.6%	(.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
	13.2%	(.f64 (.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 z (.f64 (.f64 y y) x)) (fma.f64 z (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))))) (neg.f64 x))
	5.1%	(.f64 (.f64 (.f64 y y) (.f64 y (fma.f64 z (/.f64 #s(literal -1/6 binary64) x) (/.f64 z (.f64 (.f64 y y) x))))) (neg.f64 x))
	17.8%	(.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
	12.8%	(.f64 (.f64 y y) (.f64 y (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 x (.f64 y (.f64 y y))))))
	2.5%	(.f64 (.f64 y y) (.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))))
	56.4%	(*.f64 (cos.f64 y) x)
	49.9%	(*.f64 z (-.f64 (/.f64 x z) y))
	90.3%	(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
	9.3%	(.f64 z (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))))
	13.4%	(.f64 z (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
	17.7%	(.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
✓	17.9%	(*.f64 z (neg.f64 y))
	18.1%	(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
	2.9%	(.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))
	33.2%	(.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)))
	71.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x))))
	17.8%	(neg.f64 (fma.f64 z y (.f64 y (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) z))))
	29.9%	(neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
	17.9%	(neg.f64 (.f64 z (fma.f64 (.f64 (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 y y)) y (fma.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64)) y))))
	17.9%	(neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y y)))
✓	17.7%	(neg.f64 (.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
✓	44.6%	(neg.f64 (*.f64 z (sin.f64 y)))
	39.9%	x

Compiler

Compiled 2 146 to 799 computations (62.8% saved)

regimes92.0ms (0.7%)

Memory

12.4MiB live, 166.4MiB allocated

Counts

77 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (.f64 y y) (.f64 x #s(literal -1/2 binary64)) x)
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y))
(.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(fma.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)
(fma.f64 y (.f64 z (.f64 y (*.f64 y #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 y z) x)
(neg.f64 (.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
(neg.f64 (fma.f64 z y (.f64 y (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) z))))
(.f64 z (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
(/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x))
(.f64 (.f64 y y) (.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 z z))) (+.f64 #s(literal 0 binary64) (.f64 y z)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) (fma.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) x))
(.f64 z (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(.f64 (fma.f64 y (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z))) x) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(.f64 (fma.f64 y (/.f64 (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))
(neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y y)))
(.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)))
(neg.f64 (.f64 z (fma.f64 (.f64 (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 y y)) y (fma.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64)) y))))
(.f64 (.f64 (.f64 y y) (.f64 y (fma.f64 z (/.f64 #s(literal -1/6 binary64) x) (/.f64 z (.f64 (.f64 y y) x))))) (neg.f64 x))
(.f64 (.f64 y y) (.f64 y (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 x (.f64 y (.f64 y y))))))
(/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) (.f64 z z) (.f64 #s(literal 0 binary64) (*.f64 y z)))))
(.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(.f64 (.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 z (.f64 (.f64 y y) x)) (fma.f64 z (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))))) (neg.f64 x))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (fma.f64 y (.f64 z (.f64 y z)) (-.f64 (.f64 x x) (.f64 (*.f64 y (neg.f64 z)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (.f64 y (neg.f64 z))))) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (*.f64 y z)))))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(neg.f64 (*.f64 z (sin.f64 y)))
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x))
(.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y (fma.f64 (.f64 z (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(.f64 x (-.f64 (cos.f64 y) (.f64 z (/.f64 (sin.f64 y) x))))
(.f64 z (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x (.f64 (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z z))) (.f64 z (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (*.f64 z (/.f64 (sin.f64 y) x)) #s(literal 2 binary64))) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.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:

23.0ms	z
22.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
21.0ms	x
21.0ms	y

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes71.0ms (0.6%)

Memory

2.8MiB live, 119.3MiB allocated

Counts

58 → 5

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (.f64 y y) (.f64 x #s(literal -1/2 binary64)) x)
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y))
(.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(fma.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)
(fma.f64 y (.f64 z (.f64 y (*.f64 y #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 y z) x)
(neg.f64 (.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
(neg.f64 (fma.f64 z y (.f64 y (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) z))))
(.f64 z (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
(/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x))
(.f64 (.f64 y y) (.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 z z))) (+.f64 #s(literal 0 binary64) (.f64 y z)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) (fma.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) x))
(.f64 z (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(.f64 (fma.f64 y (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z))) x) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(.f64 (fma.f64 y (/.f64 (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))
(neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y y)))
(.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)))
(neg.f64 (.f64 z (fma.f64 (.f64 (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 y y)) y (fma.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64)) y))))
(.f64 (.f64 (.f64 y y) (.f64 y (fma.f64 z (/.f64 #s(literal -1/6 binary64) x) (/.f64 z (.f64 (.f64 y y) x))))) (neg.f64 x))
(.f64 (.f64 y y) (.f64 y (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 x (.f64 y (.f64 y y))))))
(/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) (.f64 z z) (.f64 #s(literal 0 binary64) (*.f64 y z)))))
(.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(.f64 (.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 z (.f64 (.f64 y y) x)) (fma.f64 z (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))))) (neg.f64 x))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (fma.f64 y (.f64 z (.f64 y z)) (-.f64 (.f64 x x) (.f64 (*.f64 y (neg.f64 z)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (.f64 y (neg.f64 z))))) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (*.f64 y z)))))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(neg.f64 (*.f64 z (sin.f64 y)))
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x))
(.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 y)))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 y (fma.f64 (.f64 z (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) z)))

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

Calls

4 calls:

19.0ms	z
18.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
17.0ms	x
15.0ms	y

Results

Accuracy	Segments	Branch
84.0%	5	`x`
81.3%	3	`y`
87.8%	5	`z`
72.7%	2	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes87.0ms (0.7%)

Memory

-5.3MiB live, 69.4MiB allocated

Counts

52 → 3

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (.f64 y y) (.f64 x #s(literal -1/2 binary64)) x)
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y))
(.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(fma.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)
(fma.f64 y (.f64 z (.f64 y (*.f64 y #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 y z) x)
(neg.f64 (.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
(neg.f64 (fma.f64 z y (.f64 y (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) z))))
(.f64 z (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
(/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x))
(.f64 (.f64 y y) (.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 z z))) (+.f64 #s(literal 0 binary64) (.f64 y z)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) (fma.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) x))
(.f64 z (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(.f64 (fma.f64 y (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z))) x) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(.f64 (fma.f64 y (/.f64 (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))
(neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y y)))
(.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)))
(neg.f64 (.f64 z (fma.f64 (.f64 (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 y y)) y (fma.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64)) y))))
(.f64 (.f64 (.f64 y y) (.f64 y (fma.f64 z (/.f64 #s(literal -1/6 binary64) x) (/.f64 z (.f64 (.f64 y y) x))))) (neg.f64 x))
(.f64 (.f64 y y) (.f64 y (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 x (.f64 y (.f64 y y))))))
(/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) (.f64 z z) (.f64 #s(literal 0 binary64) (*.f64 y z)))))
(.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(.f64 (.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 z (.f64 (.f64 y y) x)) (fma.f64 z (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))))) (neg.f64 x))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (fma.f64 y (.f64 z (.f64 y z)) (-.f64 (.f64 x x) (.f64 (*.f64 y (neg.f64 z)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (.f64 y (neg.f64 z))))) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (*.f64 y z)))))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(neg.f64 (*.f64 z (sin.f64 y)))
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) x))
(.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)))

Outputs

(neg.f64 (*.f64 z (sin.f64 y)))

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

(neg.f64 (*.f64 z (sin.f64 y)))

Calls

3 calls:

55.0ms	x
15.0ms	z
14.0ms	y

Results

Accuracy	Segments	Branch
73.3%	3	`x`
80.6%	3	`y`
76.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes66.0ms (0.5%)

Memory

2.5MiB live, 97.6MiB allocated

Counts

49 → 3

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (.f64 y y) (.f64 x #s(literal -1/2 binary64)) x)
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y))
(.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(fma.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)
(fma.f64 y (.f64 z (.f64 y (*.f64 y #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 y z) x)
(neg.f64 (.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
(neg.f64 (fma.f64 z y (.f64 y (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) z))))
(.f64 z (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
(/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x))
(.f64 (.f64 y y) (.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 z z))) (+.f64 #s(literal 0 binary64) (.f64 y z)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) (fma.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) x))
(.f64 z (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(.f64 (fma.f64 y (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z))) x) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(.f64 (fma.f64 y (/.f64 (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))
(neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y y)))
(.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)))
(neg.f64 (.f64 z (fma.f64 (.f64 (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 y y)) y (fma.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64)) y))))
(.f64 (.f64 (.f64 y y) (.f64 y (fma.f64 z (/.f64 #s(literal -1/6 binary64) x) (/.f64 z (.f64 (.f64 y y) x))))) (neg.f64 x))
(.f64 (.f64 y y) (.f64 y (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 x (.f64 y (.f64 y y))))))
(/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) (.f64 z z) (.f64 #s(literal 0 binary64) (*.f64 y z)))))
(.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(.f64 (.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 z (.f64 (.f64 y y) x)) (fma.f64 z (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))))) (neg.f64 x))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (fma.f64 y (.f64 z (.f64 y z)) (-.f64 (.f64 x x) (.f64 (*.f64 y (neg.f64 z)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (.f64 y (neg.f64 z))))) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (*.f64 y z)))))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)

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

Calls

4 calls:

22.0ms	z
15.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
13.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
65.7%	3	`x`
60.7%	3	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
67.3%	3	`z`
72.5%	3	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes88.0ms (0.7%)

Memory

-16.6MiB live, 103.9MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) x)
(fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)
(fma.f64 (.f64 y y) (.f64 x #s(literal -1/2 binary64)) x)
(*.f64 z (-.f64 (/.f64 x z) y))
(-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y))
(.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(.f64 z (.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(fma.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y))) x)
(fma.f64 y (.f64 z (.f64 y (*.f64 y #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64))) x)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (.f64 y z) x)
(neg.f64 (.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
(neg.f64 (fma.f64 z y (.f64 y (.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) z))))
(.f64 z (.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(/.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
(/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x))
(.f64 (.f64 y y) (.f64 y (fma.f64 z #s(literal 1/6 binary64) (/.f64 (.f64 x #s(literal -1/2 binary64)) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y y) (.f64 z z))) (+.f64 #s(literal 0 binary64) (.f64 y z)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) (fma.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) x))
(.f64 z (.f64 (neg.f64 (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(.f64 (fma.f64 y (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y z))) x) #s(literal -1 binary64)) (neg.f64 x))
(.f64 (.f64 (fma.f64 y z x) (-.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(.f64 (fma.f64 y (/.f64 (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) y)))
(neg.f64 (.f64 z (fma.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y y)))
(.f64 y (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)))
(neg.f64 (.f64 z (fma.f64 (.f64 (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 y y)) y (fma.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64)) y))))
(.f64 (.f64 (.f64 y y) (.f64 y (fma.f64 z (/.f64 #s(literal -1/6 binary64) x) (/.f64 z (.f64 (.f64 y y) x))))) (neg.f64 x))
(.f64 (.f64 y y) (.f64 y (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 y y))) (/.f64 x (.f64 y (.f64 y y))))))
(/.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z)))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) (.f64 z z) (.f64 #s(literal 0 binary64) (*.f64 y z)))))
(.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x))))
(.f64 (.f64 (.f64 y (.f64 y y)) (+.f64 (/.f64 z (.f64 (.f64 y y) x)) (fma.f64 z (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y y)))))) (neg.f64 x))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (neg.f64 (.f64 z (.f64 z z))) (.f64 x (.f64 x x))) (fma.f64 y (.f64 z (.f64 y z)) (-.f64 (.f64 x x) (.f64 (*.f64 y (neg.f64 z)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 y (.f64 z (.f64 y z))) (.f64 x (.f64 y (neg.f64 z))))) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (-.f64 x (*.f64 y z)))))

Outputs
(-.f64 x (*.f64 z y))

Calls

4 calls:

45.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
14.0ms	y
14.0ms	z
13.0ms	x

Results

Accuracy	Segments	Branch
55.1%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
55.1%	1	`x`
55.1%	1	`z`
55.1%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 z (neg.f64 y))

Outputs
(*.f64 z (neg.f64 y))
x
(*.f64 z (neg.f64 y))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
39.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
45.2%	3	`x`
39.9%	1	`y`
46.6%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory

-32.3MiB live, 6.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))

Outputs
x

Calls

2 calls:

2.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
39.9%	1	`x`
39.9%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch82.0ms (0.7%)

Memory

4.3MiB live, 161.5MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	2.891564137636734e+252	3.5617199511329925e+257
17.0ms	2.3373302703325584e-115	4.180697150140557e-112
19.0ms	-1.513604153697496e-125	-6.085922019113364e-132
23.0ms	-3.313762528701779e+193	-7.931041537156274e+173

Samples

51.0ms

592×

valid

Compiler

Compiled 849 to 626 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sin: 14.0ms (37.8% of total)

ival-cos: 13.0ms (35.1% of total)

ival-mult: 7.0ms (18.9% of total)

ival-sub: 2.0ms (5.4% of total)

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

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

bsearch24.0ms (0.2%)

Memory

-4.1MiB live, 34.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.4868802003845423	1.8863858660311994
13.0ms	-0.004651867625069663	-8.234008329595666e-6

Samples

13.0ms

208×

valid

Compiler

Compiled 418 to 287 computations (31.3% saved)

Precisions

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

ival-cos: 2.0ms (25.8% of total)

ival-mult: 2.0ms (25.8% of total)

ival-sin: 2.0ms (25.8% of total)

ival-sub: 1.0ms (12.9% of total)

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

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

bsearch46.0ms (0.4%)

Memory

6.9MiB live, 45.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.001292407125007739	0.4868802003845423
21.0ms	-44923261989888730.0	-73978485.0470907

Samples

33.0ms

272×

valid

Compiler

Compiled 525 to 354 computations (32.6% saved)

Precisions

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

ival-cos: 6.0ms (36.5% of total)

ival-sin: 5.0ms (30.4% of total)

ival-mult: 3.0ms (18.2% of total)

ival-sub: 1.0ms (6.1% of total)

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

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

bsearch30.0ms (0.2%)

Memory

29.5MiB live, 29.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.5617199511329925e+257	4.375045471922312e+259
15.0ms	-6.955350004088607e+118	-7.810366617681101e+114

Samples

20.0ms

240×

valid

Compiler

Compiled 210 to 164 computations (21.9% saved)

Precisions

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

ival-cos: 5.0ms (36.4% of total)

ival-sin: 5.0ms (36.4% of total)

ival-mult: 3.0ms (21.8% of total)

ival-sub: 1.0ms (7.3% of total)

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

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

simplify944.0ms (7.6%)

Memory

-32.1MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
22×	`+-commutative_binary64`
22×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	152
1	87	152
2	112	152
3	127	152
4	135	152
5	138	152
6	139	152

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -7599999999999999854967293591360347629455503267410156207742062358806256112938157738984985918131125931711890353959778857375571676742916054852888741385018477293471621866940885310645769985792671744 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal -8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x)))) (if (<=.f64 z #s(literal 745154980294969/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 z #s(literal 4100000000000000325126654459678068329734013798164278738760195118873459733828956832119874022845967293035601454596307668734435945558747276219392085469447023795985095615005067333015042736309575095724061082025501409012939614218616260955917269305889707261952 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x)))) (neg.f64 (*.f64 z (sin.f64 y)))))))
(if (<=.f64 y #s(literal -662929865148937/144115188075855872 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 1/2 binary64)) (fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) (fma.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) x)) (neg.f64 (.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -75000000 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 5188146770730811/144115188075855872 binary64)) (fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) (fma.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) x)) (.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(if (<=.f64 z #s(literal -699999999999999993393585492362694722007723160903772080533483959155884155409164141005865779345525827585238980423057408 binary64)) (.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 18000000000000001449147841074189946326888601254035572730665075473222444214688694590689086756042585471143168492840493631761872655167275492845270015996153946904718019328132471109410145515718111959382235558491826044057896628805713485359514675532316250821346983936 binary64)) x (.f64 z (neg.f64 y))))
x

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -7599999999999999854967293591360347629455503267410156207742062358806256112938157738984985918131125931711890353959778857375571676742916054852888741385018477293471621866940885310645769985792671744 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal -8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x)))) (if (<=.f64 z #s(literal 745154980294969/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 z #s(literal 4100000000000000325126654459678068329734013798164278738760195118873459733828956832119874022845967293035601454596307668734435945558747276219392085469447023795985095615005067333015042736309575095724061082025501409012939614218616260955917269305889707261952 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x)))) (neg.f64 (*.f64 z (sin.f64 y)))))))
(if (<=.f64 z #s(literal -7599999999999999854967293591360347629455503267410156207742062358806256112938157738984985918131125931711890353959778857375571676742916054852888741385018477293471621866940885310645769985792671744 binary64)) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z #s(literal -8536031192270291/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x)))) (if (<=.f64 z #s(literal 745154980294969/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 z #s(literal 4100000000000000325126654459678068329734013798164278738760195118873459733828956832119874022845967293035601454596307668734435945558747276219392085469447023795985095615005067333015042736309575095724061082025501409012939614218616260955917269305889707261952 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 z (/.f64 (sin.f64 y) x)))) (*.f64 (sin.f64 y) (neg.f64 z))))))
(if (<=.f64 y #s(literal -662929865148937/144115188075855872 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 1/2 binary64)) (fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) (fma.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) x)) (neg.f64 (.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -662929865148937/144115188075855872 binary64)) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y #s(literal 1/2 binary64)) (fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) (fma.f64 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) x)) (.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y #s(literal -75000000 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 5188146770730811/144115188075855872 binary64)) (fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) (fma.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) x)) (.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -75000000 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 5188146770730811/144115188075855872 binary64)) (fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) (fma.f64 (.f64 y z) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) x)) (.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(if (<=.f64 z #s(literal -699999999999999993393585492362694722007723160903772080533483959155884155409164141005865779345525827585238980423057408 binary64)) (.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 18000000000000001449147841074189946326888601254035572730665075473222444214688694590689086756042585471143168492840493631761872655167275492845270015996153946904718019328132471109410145515718111959382235558491826044057896628805713485359514675532316250821346983936 binary64)) x (.f64 z (neg.f64 y))))
(if (<=.f64 z #s(literal -699999999999999993393585492362694722007723160903772080533483959155884155409164141005865779345525827585238980423057408 binary64)) (neg.f64 (.f64 y z)) (if (<=.f64 z #s(literal 18000000000000001449147841074189946326888601254035572730665075473222444214688694590689086756042585471143168492840493631761872655167275492845270015996153946904718019328132471109410145515718111959382235558491826044057896628805713485359514675532316250821346983936 binary64)) x (neg.f64 (.f64 y z))))
x

soundness2.0s (15.8%)

Memory

22.6MiB live, 785.1MiB allocated

Rules

16 496×	`lower-fma.f64`
16 496×	`lower-fma.f32`
12 044×	`lower-fma.f64`
12 044×	`lower-fma.f32`
10 986×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	176
0	68	174
1	253	153
2	1838	153
0	8434	150
0	97	624
1	292	619
2	837	613
3	2075	607
4	3601	607
5	6258	607
0	8452	586
0	564	5217
1	1859	5068
2	6378	5013
0	8240	4758
0	343	3867
1	1106	3802
2	3500	3723
0	8269	3545
0	8	19
0	13	19
1	33	19
2	210	19
3	1964	19
0	8379	19

Stop Event

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

Compiler

Compiled 373 to 207 computations (44.5% saved)

preprocess186.0ms (1.5%)

Memory: -26.8MiB live, 179.4MiB allocated
Compiler: Compiled 334 to 130 computations (61.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	223	24
8	282	24
9	311	24
10	327	24
0	327	24

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	223	24
8	282	24
9	311	24
10	327	24
0	327	24

analyze0.0ms (0%)

sample1.4s (11.6%)

preprocess52.0ms (0.4%)

explain116.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify38.0ms (0.3%)

localize33.0ms (0.3%)

series7.0ms (0.1%)

rewrite484.0ms (3.9%)

simplify542.0ms (4.3%)

eval39.0ms (0.3%)

prune49.0ms (0.4%)

simplify240.0ms (1.9%)

localize332.0ms (2.7%)

series43.0ms (0.3%)

rewrite461.0ms (3.7%)

simplify460.0ms (3.7%)

eval266.0ms (2.1%)

prune274.0ms (2.2%)

simplify542.0ms (4.3%)

localize178.0ms (1.4%)

series33.0ms (0.3%)

rewrite806.0ms (6.5%)

simplify492.0ms (3.9%)

eval152.0ms (1.2%)

prune150.0ms (1.2%)

simplify201.0ms (1.6%)

localize145.0ms (1.2%)

series54.0ms (0.4%)

rewrite361.0ms (2.9%)

simplify466.0ms (3.7%)

eval134.0ms (1.1%)

prune177.0ms (1.4%)

regimes92.0ms (0.7%)

regimes71.0ms (0.6%)

regimes87.0ms (0.7%)

regimes66.0ms (0.5%)

regimes88.0ms (0.7%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

bsearch82.0ms (0.7%)

bsearch24.0ms (0.2%)

bsearch46.0ms (0.4%)

bsearch30.0ms (0.2%)

simplify944.0ms (7.6%)

soundness2.0s (15.8%)

preprocess186.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	13	24
1	20	24
2	32	24
3	44	24
4	65	24
5	95	24
6	153	24
7	223	24
8	282	24
9	311	24
10	327	24
0	327	24