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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (10.5%)

Memory

16.2MiB live, 1 564.6MiB allocated

Samples

936.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 605.0ms

ival-sin: 237.0ms (39.2% of total)

ival-cos: 173.0ms (28.6% of total)

ival-mult: 143.0ms (23.6% of total)

ival-add: 44.0ms (7.3% of total)

ival-true: 6.0ms (1% of total)

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

Bogosity

preprocess46.0ms (0.4%)

Memory

12.3MiB live, 49.5MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`associate-r`
160×	`unsub-neg`
142×	`associate-l`
136×	`distribute-lft-neg-in`
110×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	79	81
2	139	81
3	307	81
4	458	81
5	693	81
6	871	81
7	957	81
8	1038	81
9	1104	81
10	1118	81
11	1123	81
12	1125	81
0	8	9
0	13	9
1	16	9
0	16	8

Stop Event

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

Calls

Call 1

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

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

explain107.0ms (0.9%)

Memory

2.2MiB live, 211.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

49.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-cos: 13.0ms (39.2% of total)

ival-sin: 11.0ms (33.2% of total)

ival-mult: 7.0ms (21.1% of total)

ival-add: 2.0ms (6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify10.0ms (0.1%)

Memory

-31.8MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.3%)

Memory

20.3MiB live, 57.7MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

27.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

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

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

ival-add: 4.0ms (21.2% of total)

ival-mult: 3.0ms (15.9% of total)

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

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

series15.0ms (0.1%)

Memory

-15.4MiB live, 21.7MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite488.0ms (4.3%)

Memory

26.0MiB live, 660.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8391	18

Stop Event

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

Counts

4 → 176

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (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) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))))
(+.f64 (/.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) (neg.f64 z)))
(-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))) (/.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (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 (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (.f64 z (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 (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (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))))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64)) (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))))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (neg.f64 x) (.f64 z (cos.f64 y)))) (neg.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (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 (sin.f64 y)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (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 (sin.f64 y)) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 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)))))))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 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)))))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (pow.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 2 binary64))))
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simplify434.0ms (3.8%)

Memory

12.0MiB live, 711.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 960×	`lower-fma.f64`
14 960×	`lower-fma.f32`
4 098×	`lower-*.f64`
4 098×	`lower-*.f32`
2 688×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	626
1	316	622
2	937	612
3	2505	606
4	4416	606
5	7325	606
0	8407	556

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 93

Calls

Call 1

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

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

eval32.0ms (0.3%)

Memory: 2.2MiB live, 77.6MiB allocated
Compiler: Compiled 9 964 to 551 computations (94.5% saved)

prune66.0ms (0.6%)

Memory

-5.7MiB live, 113.1MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	252	17	269
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	253	17	270

Accuracy

99.9%

Counts

270 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.9%	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
▶	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	51.9%	(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
	51.9%	(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
▶	53.4%	(fma.f64 y x z)
	56.9%	(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
▶	45.8%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
▶	19.4%	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64))) (.f64 (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)))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
	34.8%	(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
	45.9%	(/.f64 (-.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 z (cos.f64 y)) (.f64 x (sin.f64 y))))
	28.0%	(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
	47.5%	(.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (/.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))
	45.8%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
	27.8%	(.f64 (-.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))))
▶	60.6%	(*.f64 z (cos.f64 y))
	40.8%	(*.f64 x (sin.f64 y))

Compiler

Compiled 1 188 to 540 computations (54.5% saved)

simplify843.0ms (7.4%)

Memory

-3.4MiB live, 1 090.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64))) (.f64 (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)))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	6144	(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))))))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
✓	cost-diff	6272	(-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(fma.f64 y x z)
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))

Rules

29 852×	`lower-fma.f32`
29 846×	`lower-fma.f64`
5 674×	`lower-*.f32`
5 658×	`lower-*.f64`
3 592×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	425
0	60	425
1	113	423
2	269	421
3	879	421
4	3835	412
0	8526	396

Stop Event

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

Calls

Call 1

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

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

localize402.0ms (3.5%)

Memory

-128.0MiB live, 478.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	91.0%	(-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64)))
✓	accuracy	84.5%	(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓	accuracy	80.4%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	29.2%	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64))) (.f64 (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)))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
✓	accuracy	97.3%	(-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
✓	accuracy	84.5%	(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓	accuracy	80.4%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	63.1%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	100.0%	(fma.f64 y x z)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))

Samples

219.0ms	72×	1	valid
52.0ms	55×	2	valid
45.0ms	128×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 432 to 36 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 282.0ms

adjust: 176.0ms (62.3% of total)

ival-cos: 33.0ms (11.7% of total)

ival-mult: 32.0ms (11.3% of total)

ival-div: 10.0ms (3.5% of total)

ival-pow: 9.0ms (3.2% of total)

ival-add: 8.0ms (2.8% of total)

ival-sub: 7.0ms (2.5% of total)

ival-sin: 6.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series113.0ms (1%)

Memory

19.0MiB live, 174.1MiB allocated

Counts

14 → 372

Calls

Call 1

Inputs
#<alt (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))>
#<alt (cos.f64 y)>
#<alt (*.f64 x (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (fma.f64 y x z)>
#<alt (*.f64 z (cos.f64 y))>
#<alt (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))>
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (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))))))>
#<alt (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64))) (.f64 (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)))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))>
#<alt (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))>
#<alt (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64)))>

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

93 calls:

Time	Variable		Point	Expression
26.0ms	z	@	inf	(- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))
5.0ms	y	@	-inf	(/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y)))))
4.0ms	y	@	inf	(/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y)))))
4.0ms	x	@	inf	(- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4))
4.0ms	y	@	inf	(/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))))

rewrite561.0ms (4.9%)

Memory

-15.5MiB live, 954.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 194×	`lower-fma.f32`
8 188×	`lower-fma.f64`
4 234×	`lower-*.f32`
4 218×	`lower-*.f64`
3 538×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	201
0	60	130
1	259	93
2	2171	93
0	8699	93

Stop Event

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

Counts

14 → 931

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))
(+.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (.f64 z z)))))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) #s(literal -1 binary64)) (.f64 (log.f64 (fma.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z))))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) (/.f64 (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (/.f64 (.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (/.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 6 binary64)) (fma.f64 (.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (/.f64 (/.f64 (.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
(-.f64 (/.f64 (-.f64 (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 z (.f64 z #s(literal 1/2 binary64)))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (/.f64 (.f64 (cos.f64 (+.f64 y y)) (.f64 z (.f64 z #s(literal 1/2 binary64)))) (-.f64 (.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 12 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64))))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (/.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 12 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64))))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) (/.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (.f64 z z)))))) (-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (.f64 z z)))))) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (neg.f64 (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))) (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (neg.f64 (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))) (/.f64 (fma.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (.f64 z z)))) (neg.f64 (-.f64 (.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 12 binary64)) (.f64 (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 12 binary64)) (.f64 (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (.f64 (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (.f64 (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))) #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 12 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 12 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)))) (neg.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 12 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64))))) (.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64)))) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 12 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64)))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 12 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 12 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 12 binary64))) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 12 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 12 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 12 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 12 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 12 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64))))) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 12 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 12 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 12 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 12 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (*.f64 x (sin.f64 y)))) #s(literal 4 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64)))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 12 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 12 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)))) #s(literal -1 binary64))
(.f64 (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 z z)))))
(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 12 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)))))

simplify476.0ms (4.2%)

Memory

14.4MiB live, 793.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 782×	`lower-fma.f64`
8 782×	`lower-fma.f32`
7 522×	`lower-*.f64`
7 522×	`lower-*.f32`
3 952×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	762	8494
1	2778	8193
0	8376	7777

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 363

Calls

Call 1

Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
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)
(* 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 y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (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)
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* -1 (pow z 2))
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow x 2)) (* (pow y 2) (- (* 2/45 (pow x 2)) (* -2/45 (pow z 2))))) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
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(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y)))))
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y)))))
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y)))))
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y)))))
(/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))
(+ (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (pow (sin y) 2))) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (* (pow (cos y) 2) (sin y)) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (pow (sin y) 2)) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))))
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(/ (* z (pow (cos y) 3)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ (/ (* x (* (pow (cos y) 2) (sin y))) (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
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(/ (* z (pow (cos y) 3)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* -1 (* z (+ (* -1 (/ (* x (* (pow (cos y) 2) (sin y))) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* x (* (pow (cos y) 2) (sin y))) (+ 1/2 (* 1/2 (cos (* 2 y))))))) z)) (* -1 (/ (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 2) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (pow x 3) (* (pow (cos y) 2) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (+ 1/2 (* 1/2 (cos (* 2 y))))))) z)) (* -1 (/ (* x (* (pow (cos y) 2) (sin y))) (+ 1/2 (* 1/2 (cos (* 2 y))))))) z)) (* -1 (/ (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
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(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(* (pow x 4) (pow (sin y) 4))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(* (pow x 4) (pow (sin y) 4))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(* -1 (pow z 4))
(- (* 2 (* (pow y 2) (pow z 4))) (pow z 4))
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(- (* (pow y 2) (- (* (pow y 2) (- (+ (* (pow y 2) (- (* -2/3 (pow x 4)) (* -34/45 (pow z 4)))) (pow x 4)) (* 5/3 (pow z 4)))) (* -2 (pow z 4)))) (pow z 4))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(* (pow x 4) (pow (sin y) 4))
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))
(* -1 (* (pow z 4) (pow (cos y) 4)))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
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(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))

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

eval453.0ms (4%)

Memory: 9.0MiB live, 508.1MiB allocated
Compiler: Compiled 100 064 to 3 715 computations (96.3% saved)

prune356.0ms (3.1%)

Memory

13.5MiB live, 439.9MiB allocated

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	1 698	29	1 727
Fresh	10	2	12
Picked	2	3	5
Done	0	0	0
Total	1 710	34	1 744

Accuracy

100.0%

Counts

1 744 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.7%	(fma.f64 (*.f64 z x) (/.f64 y z) z)
▶	36.5%	(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	66.2%	(fma.f64 (cos.f64 y) z (*.f64 x y))
▶	99.0%	(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
	51.9%	(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z)
	51.9%	(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
	12.4%	(fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z)))) x) z)
✓	53.4%	(fma.f64 y x z)
	77.5%	(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
	36.6%	(fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) z)
	18.5%	(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
	47.3%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 z (.f64 z #s(literal 1/2 binary64)))) (.f64 (cos.f64 (+.f64 y y)) (.f64 z (*.f64 z #s(literal 1/2 binary64)))))))
	49.2%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
	34.8%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
	18.7%	(/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (.f64 y x) z) (.f64 z z))) (.f64 (-.f64 (.f64 y x) z) (-.f64 (*.f64 y x) z)))
	29.0%	(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
	60.2%	(/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
	60.1%	(/.f64 (.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
	25.2%	(/.f64 (.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
	26.4%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
▶	18.4%	(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
	36.5%	(.f64 z (fma.f64 (.f64 y y) (fma.f64 (.f64 y 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)))
	36.5%	(.f64 z (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
▶	89.7%	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
✓	60.6%	(*.f64 z (cos.f64 y))
	38.7%	(*.f64 z #s(literal 1 binary64))
	38.6%	(*.f64 y (+.f64 x (/.f64 z y)))
	43.3%	(.f64 x (fma.f64 z (/.f64 (.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
	85.7%	(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
	45.1%	(*.f64 x (+.f64 y (/.f64 z x)))
	40.8%	(*.f64 x (sin.f64 y))
▶	17.4%	(*.f64 x y)

Compiler

Compiled 1 283 to 730 computations (43.1% saved)

simplify438.0ms (3.8%)

Memory

-5.3MiB live, 483.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(/.f64 (sin.f64 y) z)
✓	cost-diff	0	(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
✓	cost-diff	704	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z)))
✓	cost-diff	320	(fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x))))
✓	cost-diff	320	(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
✓	cost-diff	0	(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓	cost-diff	13888	(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))

Rules

7 722×	`lower-fma.f32`
7 708×	`lower-fma.f64`
4 380×	`lower-*.f32`
4 352×	`lower-*.f64`
3 754×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	286
0	75	280
1	147	268
2	349	259
3	822	259
4	1724	255
5	2629	255
6	3863	255
7	6644	255
0	8036	250

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
z
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(cos.f64 y)
(/.f64 (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
x
y
(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(*.f64 y y)
y
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
z
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z)))
(*.f64 y x)
y
x
(.f64 y (.f64 x (*.f64 y x)))
(.f64 x (.f64 y x))
(.f64 z (.f64 z z))
z
(*.f64 z z)
(/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
#s(literal 1 binary64)
(fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x))))
(.f64 z (-.f64 z (.f64 y x)))
(-.f64 z (*.f64 y x))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
z
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
x
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
(cos.f64 y)

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

localize141.0ms (1.2%)

Memory

44.4MiB live, 276.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
✓	accuracy	99.8%	(/.f64 (sin.f64 y) z)
✓	accuracy	89.8%	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
✓	accuracy	95.0%	(.f64 z (-.f64 z (.f64 y x)))
✓	accuracy	89.4%	(.f64 y (.f64 x (*.f64 y x)))
✓	accuracy	89.2%	(fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x))))
✓	accuracy	35.8%	(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.9%	(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
✓	accuracy	99.8%	(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
✓	accuracy	90.2%	(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.7%	(.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	99.6%	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓	accuracy	99.2%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))

Samples

95.0ms

256×

valid

Compiler

Compiled 306 to 47 computations (84.6% saved)

Precisions

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

ival-mult: 35.0ms (48% of total)

ival-cos: 12.0ms (16.5% of total)

ival-add: 7.0ms (9.6% of total)

ival-div: 6.0ms (8.2% of total)

ival-sin: 5.0ms (6.9% of total)

const: 4.0ms (5.5% of total)

ival-pow2: 2.0ms (2.7% of total)

ival-sub: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series128.0ms (1.1%)

Memory

-74.2MiB live, 133.0MiB allocated

Counts

21 → 504

Calls

Call 1

Inputs
#<alt (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))>
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))>
#<alt (cos.f64 (*.f64 y #s(literal -2 binary64)))>
#<alt (*.f64 x y)>
#<alt (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)>
#<alt (*.f64 y y)>
#<alt (.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))>
#<alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))>
#<alt (.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))>
#<alt (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x))))>
#<alt (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z)))>
#<alt (*.f64 y x)>
#<alt (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))>
#<alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))>
#<alt (/.f64 (sin.f64 y) z)>
#<alt (sin.f64 y)>
#<alt (pow.f64 (cos.f64 y) #s(literal 2 binary64))>
#<alt (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 y (.f64 x (*.f64 y x)))>
#<alt (.f64 z (-.f64 z (.f64 y x)))>

Outputs
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))>
#<alt (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))>
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))>
#<alt (+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z))))))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))>
#<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 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<alt (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))>
#<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 (* -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>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (* 1/24 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))>
#<alt (* 1/24 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
#<alt (* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))>
#<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 (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (* 1/24 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* 1/24 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt -1/2>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) (* -1 x))))>
#<alt (+ z (* y (- (* y (- (* -1 (/ (* x (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) z)) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) (* -1 x))))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (pow y 2)))) (* -1 (/ z y))))>
#<alt (* y (- (+ x (* -1 (/ (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) (* x (pow y 3))))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ (pow z 2) (* x (pow y 2)))))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x y))) (/ (pow z 2) (* x y))) (* -1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) (* x y))) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) y)) (* -1 z)) y)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x (- (* -1 (* x (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) (* -1 y))))>
#<alt (+ z (* x (- (* x (- (* -1 (/ (* x (* y (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) z)) (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) (* -1 y))))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y)) (pow x 2)))) (* -1 (/ z x))))>
#<alt (* x (- (+ y (* -1 (/ (* z (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) (* (pow x 3) y)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ (pow z 2) (* (pow x 2) y))))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x y))) (/ (pow z 2) (* x y))) (* -1 z)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) (* x y))) (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x)) (* -1 z)) x)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (- (+ 1 (* -1 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) (pow z 2)))) (* -1 (/ (* x y) z))))>
#<alt (* z (- (+ 1 (* -1 (/ (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) (pow z 3)))) (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* (pow x 2) (pow y 2)) (pow z 2))))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (/ (* (pow x 2) (pow y 2)) z)) (* -1 (* x y))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) z)) (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2)))) z)) (* -1 (* x y))) z)) 1)))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* x (* y z))) (pow z 2))>
#<alt (+ (* y (+ (* -1 (* x z)) (* (pow x 2) y))) (pow z 2))>
#<alt (+ (* y (+ (* -1 (* x z)) (* (pow x 2) y))) (pow z 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow z 2) (pow y 2)) (pow x 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow z 2) (pow y 2)) (pow x 2))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* x z)) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* x z)) y)) (pow x 2)))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* x (* y z))) (pow z 2))>
#<alt (+ (* x (+ (* -1 (* y z)) (* x (pow y 2)))) (pow z 2))>
#<alt (+ (* x (+ (* -1 (* y z)) (* x (pow y 2)))) (pow z 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (* -1 (/ (* y z) x)) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (pow z 2) (pow x 2)) (pow y 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (pow z 2) (pow x 2)) (pow y 2))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (* -1 (/ (* y z) x)) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* y z)) x)) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* y z)) x)) (pow y 2)))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (+ (* -1 (* x (* y z))) (* (pow x 2) (pow y 2)))>
#<alt (+ (* z (+ z (* -1 (* x y)))) (* (pow x 2) (pow y 2)))>
#<alt (+ (* z (+ z (* -1 (* x y)))) (* (pow x 2) (pow y 2)))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))>
#<alt (* (pow z 2) (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)))>
#<alt (* (pow z 2) (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))))>
#<alt (pow z 3)>
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))>
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))>
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))>
#<alt (* (pow x 3) (pow y 3))>
#<alt (* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))>
#<alt (* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))>
#<alt (* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))>
#<alt (* (pow x 3) (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))>
#<alt (pow z 3)>
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))>
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))>
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))>
#<alt (* (pow x 3) (pow y 3))>
#<alt (* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))>
#<alt (* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))>
#<alt (* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))>
#<alt (* (pow x 3) (pow y 3))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))>
#<alt (* (pow x 3) (pow y 3))>
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))>
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))>
#<alt (+ (* (pow x 3) (pow y 3)) (pow z 3))>
#<alt (pow z 3)>
#<alt (* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))>
#<alt (* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))>
#<alt (* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))>
#<alt (pow z 3)>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ (* x (sin y)) z)>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (/ (* x (sin y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt 1>
#<alt (+ 1 (/ (* x y) z))>
#<alt (+ 1 (* y (+ (* -1/2 y) (/ x z))))>
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ (* x (sin y)) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (/ (+ (* x (sin y)) (* z (cos y))) z)>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ y z)>
#<alt (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))>
#<alt (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))>
#<alt (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<alt (/ (sin y) z)>
#<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 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 (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (pow (cos y) 2)>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x y)>
#<alt (* y (+ x (* -7/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -7/6 x) (* 61/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -7/6 x) (* (pow y 2) (+ (* -547/5040 (* x (pow y 2))) (* 61/120 x)))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* -1 (* x (* y z)))>
#<alt (* z (+ z (* -1 (* x y))))>
#<alt (* z (+ z (* -1 (* x y))))>
#<alt (* z (+ z (* -1 (* x y))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* x (* y z))) (pow z 2))>
#<alt (+ (* -1 (* x (* y z))) (pow z 2))>
#<alt (+ (* -1 (* x (* y z))) (pow z 2))>
#<alt (* -1 (* x (* y z)))>
#<alt (* y (+ (* -1 (* x z)) (/ (pow z 2) y)))>
#<alt (* y (+ (* -1 (* x z)) (/ (pow z 2) y)))>
#<alt (* y (+ (* -1 (* x z)) (/ (pow z 2) y)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* y (+ (* -1 (/ (pow z 2) y)) (* x z))))>
#<alt (* -1 (* y (+ (* -1 (/ (pow z 2) y)) (* x z))))>
#<alt (* -1 (* y (+ (* -1 (/ (pow z 2) y)) (* x z))))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* x (* y z))) (pow z 2))>
#<alt (+ (* -1 (* x (* y z))) (pow z 2))>
#<alt (+ (* -1 (* x (* y z))) (pow z 2))>
#<alt (* -1 (* x (* y z)))>
#<alt (* x (+ (* -1 (* y z)) (/ (pow z 2) x)))>
#<alt (* x (+ (* -1 (* y z)) (/ (pow z 2) x)))>
#<alt (* x (+ (* -1 (* y z)) (/ (pow z 2) x)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (+ (* -1 (/ (pow z 2) x)) (* y z))))>
#<alt (* -1 (* x (+ (* -1 (/ (pow z 2) x)) (* y z))))>
#<alt (* -1 (* x (+ (* -1 (/ (pow z 2) x)) (* y z))))>

Calls

126 calls:

Time	Variable		Point	Expression
33.0ms	y	@	-inf	(* z (+ (* x (/ (sin y) z)) (cos y)))
11.0ms	y	@	inf	(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))
10.0ms	z	@	0	(+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* x (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
3.0ms	x	@	inf	(* (+ (* (* y x) (* y (* x (* y x)))) (* z (* z z))) (/ 1 (+ (* y (* x (* y x))) (* z (- z (* y x))))))
2.0ms	x	@	inf	(* (* x (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2))

rewrite422.0ms (3.7%)

Memory

5.8MiB live, 715.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 892×	`lower-*.f32`
4 864×	`lower-*.f64`
4 454×	`lower-fma.f32`
4 440×	`lower-fma.f64`
4 438×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	203
0	75	197
1	280	183
2	2128	183
0	8265	181

Stop Event

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

Counts

21 → 699

Calls

Call 1

Inputs
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (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)) (cos.f64 y))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 x y)
(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(*.f64 y y)
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x))))
(fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z)))
(*.f64 y x)
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/.f64 (sin.f64 y) z)
(sin.f64 y)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 z (-.f64 z (.f64 y x)))

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

simplify287.0ms (2.5%)

Memory

3.1MiB live, 522.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 022×	`lower-fma.f64`
6 022×	`lower-fma.f32`
4 744×	`lower-*.f64`
4 744×	`lower-*.f32`
1 494×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	513	5142
1	1794	5011
2	6394	4965
0	8336	4642

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 496

Calls

Call 1

Inputs
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
z
(+ z (* x y))
(+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))
(+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z))))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y)))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
(/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))
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 (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(+ 1/2 (* 1/2 (cos (* -2 y))))
1
(+ 1 (* -2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(cos (* -2 y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(* 1/24 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(* 1/24 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 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)
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* -1/2 z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(* 1/24 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* 1/24 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
-1/2
(- (* 1/24 (pow y 2)) 1/2)
(- (* 1/24 (pow y 2)) 1/2)
(- (* 1/24 (pow y 2)) 1/2)
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
z
(+ z (* x y))
(+ z (* y (- (* -1 (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) (* -1 x))))
(+ z (* y (- (* y (- (* -1 (/ (* x (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) z)) (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)))) (* -1 x))))
(* x y)
(* y (+ x (/ z y)))
(* y (- (+ x (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (pow y 2)))) (* -1 (/ z y))))
(* y (- (+ x (* -1 (/ (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) (* x (pow y 3))))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (* x (pow y 2)))) (/ (pow z 2) (* x (pow y 2)))))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x y))) (/ (pow z 2) (* x y))) (* -1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) (* x y))) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))) y)) (* -1 z)) y)))))
z
(+ z (* x y))
(+ z (* x (- (* -1 (* x (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) (* -1 y))))
(+ z (* x (- (* x (- (* -1 (/ (* x (* y (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) z)) (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)))) (* -1 y))))
(* x y)
(* x (+ y (/ z x)))
(* x (- (+ y (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y)) (pow x 2)))) (* -1 (/ z x))))
(* x (- (+ y (* -1 (/ (* z (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) (* (pow x 3) y)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (/ (pow z 2) (* (pow x 2) y))))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x y))) (/ (pow z 2) (* x y))) (* -1 z)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) (* x y))) (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y))) x)) (* -1 z)) x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (- (+ 1 (* -1 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) (pow z 2)))) (* -1 (/ (* x y) z))))
(* z (- (+ 1 (* -1 (/ (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) (pow z 3)))) (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (/ (* (pow x 2) (pow y 2)) z)) (* -1 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (* y (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))))) z)) (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2)))) z)) (* -1 (* x y))) z)) 1)))
(pow z 2)
(+ (* -1 (* x (* y z))) (pow z 2))
(+ (* y (+ (* -1 (* x z)) (* (pow x 2) y))) (pow z 2))
(+ (* y (+ (* -1 (* x z)) (* (pow x 2) y))) (pow z 2))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow z 2) (pow y 2)) (pow x 2))))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (+ (/ (pow z 2) (pow y 2)) (pow x 2))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (* x z) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* x z)) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) y)) (* x z)) y)) (pow x 2)))
(pow z 2)
(+ (* -1 (* x (* y z))) (pow z 2))
(+ (* x (+ (* -1 (* y z)) (* x (pow y 2)))) (pow z 2))
(+ (* x (+ (* -1 (* y z)) (* x (pow y 2)))) (pow z 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (pow z 2) (pow x 2)) (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (+ (/ (pow z 2) (pow x 2)) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -1 (/ (* y z) x)) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* y z)) x)) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (pow z 2) x)) (* y z)) x)) (pow y 2)))
(* (pow x 2) (pow y 2))
(+ (* -1 (* x (* y z))) (* (pow x 2) (pow y 2)))
(+ (* z (+ z (* -1 (* x y)))) (* (pow x 2) (pow y 2)))
(+ (* z (+ z (* -1 (* x y)))) (* (pow x 2) (pow y 2)))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(* (pow z 2) (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)))
(* (pow z 2) (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (/ (* x y) z)))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))))
(* (pow z 2) (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow y 2)) z)) (* x y)) z))))
(pow z 3)
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(* (pow x 3) (pow y 3))
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))
(* (pow y 3) (+ (/ (pow z 3) (pow y 3)) (pow x 3)))
(* (pow x 3) (pow y 3))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 3) (pow y 3))) (* -1 (pow x 3)))))
(pow z 3)
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(* (pow x 3) (pow y 3))
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(* (pow x 3) (+ (/ (pow z 3) (pow x 3)) (pow y 3)))
(* (pow x 3) (pow y 3))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (pow z 3) (pow x 3))) (* -1 (pow y 3)))))
(* (pow x 3) (pow y 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(+ (* (pow x 3) (pow y 3)) (pow z 3))
(pow z 3)
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))
(* (pow z 3) (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))))
(pow z 3)
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(/ (* x (sin y)) z)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ (* x (sin y)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(+ (cos y) (/ (* x (sin y)) z))
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 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) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
(/ (sin y) z)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
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)))
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(pow (cos y) 2)
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x y)
(* y (+ x (* -7/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -7/6 x) (* 61/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -7/6 x) (* (pow y 2) (+ (* -547/5040 (* x (pow y 2))) (* 61/120 x)))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 (* x (* y z)))
(* z (+ z (* -1 (* x y))))
(* z (+ z (* -1 (* x y))))
(* z (+ z (* -1 (* x y))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(pow z 2)
(+ (* -1 (* x (* y z))) (pow z 2))
(+ (* -1 (* x (* y z))) (pow z 2))
(+ (* -1 (* x (* y z))) (pow z 2))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ (pow z 2) y)))
(* y (+ (* -1 (* x z)) (/ (pow z 2) y)))
(* y (+ (* -1 (* x z)) (/ (pow z 2) y)))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ (pow z 2) y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (pow z 2) y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (pow z 2) y)) (* x z))))
(pow z 2)
(+ (* -1 (* x (* y z))) (pow z 2))
(+ (* -1 (* x (* y z))) (pow z 2))
(+ (* -1 (* x (* y z))) (pow z 2))
(* -1 (* x (* y z)))
(* x (+ (* -1 (* y z)) (/ (pow z 2) x)))
(* x (+ (* -1 (* y z)) (/ (pow z 2) x)))
(* x (+ (* -1 (* y z)) (/ (pow z 2) x)))
(* -1 (* x (* y z)))
(* -1 (* x (+ (* -1 (/ (pow z 2) x)) (* y z))))
(* -1 (* x (+ (* -1 (/ (pow z 2) x)) (* y z))))
(* -1 (* x (+ (* -1 (/ (pow z 2) x)) (* y z))))

Outputs
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))
(.f64 z (fma.f64 x (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))
(.f64 z (fma.f64 x (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))
(.f64 z (fma.f64 x (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y)))))
(/ (* z (+ 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 z (cos.f64 y)))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(.f64 z (fma.f64 x (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(.f64 z (fma.f64 x (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(.f64 z (fma.f64 x (/.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z))))))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 #s(literal -1/6 binary64) y) (.f64 z #s(literal -1/2 binary64))) x) z)
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -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 z (cos.f64 y))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -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 z (cos.f64 y))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -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 z (cos.f64 y))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -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 z (cos.f64 y))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -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 z (cos.f64 y))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -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 z (cos.f64 y))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -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 z (cos.f64 y))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -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 z (cos.f64 y))))
(/ (* z (+ 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 z (cos.f64 y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -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 z (cos.f64 y))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -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 z (cos.f64 y))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(fma.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -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 z (cos.f64 y))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(.f64 (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -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 z (*.f64 x (cos.f64 y))))))
(* x (+ (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (* x (cos y))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (pow (cos y) 2))))
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(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
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(/ y z)
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(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 (.f64 y (.f64 y y)) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (/.f64 #s(literal -1/5040 binary64) z) (/.f64 #s(literal 1/120 binary64) z))) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 y z))
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(/ (sin y) z)
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(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y)
(* 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 (.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)
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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 (.f64 y 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))
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(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x y)
(*.f64 x y)
(* y (+ x (* -7/6 (* x (pow y 2)))))
(.f64 y (fma.f64 x (.f64 #s(literal -7/6 binary64) (*.f64 y y)) x))
(* y (+ x (* (pow y 2) (+ (* -7/6 x) (* 61/120 (* x (pow y 2)))))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 y y)) #s(literal 61/120 binary64) (*.f64 x #s(literal -7/6 binary64))) x))
(* y (+ x (* (pow y 2) (+ (* -7/6 x) (* (pow y 2) (+ (* -547/5040 (* x (pow y 2))) (* 61/120 x)))))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 61/120 binary64) (.f64 (.f64 x (.f64 y y)) #s(literal -547/5040 binary64))) (*.f64 x #s(literal -7/6 binary64))) x))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(.f64 x (.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
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(.f64 x (.f64 x (*.f64 y y)))
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(* (pow x 2) (pow y 2))
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(* (pow x 2) (pow y 2))
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(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
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(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
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(* (pow x 2) (pow y 2))
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(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* -1 (* x (* y z)))
(.f64 y (.f64 x (neg.f64 z)))
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(* z (+ z (* -1 (* x y))))
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(* z (+ z (* -1 (* x y))))
(.f64 z (-.f64 z (.f64 x y)))
(pow z 2)
(*.f64 z z)
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(.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(pow z 2)
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(pow z 2)
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(* -1 (* x (* y z)))
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(* y (+ (* -1 (* x z)) (/ (pow z 2) y)))
(.f64 y (fma.f64 x (neg.f64 z) (/.f64 (.f64 z z) y)))
(* y (+ (* -1 (* x z)) (/ (pow z 2) y)))
(.f64 y (fma.f64 x (neg.f64 z) (/.f64 (.f64 z z) y)))
(* y (+ (* -1 (* x z)) (/ (pow z 2) y)))
(.f64 y (fma.f64 x (neg.f64 z) (/.f64 (.f64 z z) y)))
(* -1 (* x (* y z)))
(.f64 y (.f64 x (neg.f64 z)))
(* -1 (* y (+ (* -1 (/ (pow z 2) y)) (* x z))))
(.f64 y (fma.f64 x (neg.f64 z) (/.f64 (.f64 z z) y)))
(* -1 (* y (+ (* -1 (/ (pow z 2) y)) (* x z))))
(.f64 y (fma.f64 x (neg.f64 z) (/.f64 (.f64 z z) y)))
(* -1 (* y (+ (* -1 (/ (pow z 2) y)) (* x z))))
(.f64 y (fma.f64 x (neg.f64 z) (/.f64 (.f64 z z) y)))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* x (* y z))) (pow z 2))
(.f64 z (-.f64 z (.f64 x y)))
(+ (* -1 (* x (* y z))) (pow z 2))
(.f64 z (-.f64 z (.f64 x y)))
(+ (* -1 (* x (* y z))) (pow z 2))
(.f64 z (-.f64 z (.f64 x y)))
(* -1 (* x (* y z)))
(.f64 y (.f64 x (neg.f64 z)))
(* x (+ (* -1 (* y z)) (/ (pow z 2) x)))
(.f64 x (fma.f64 y (neg.f64 z) (/.f64 (.f64 z z) x)))
(* x (+ (* -1 (* y z)) (/ (pow z 2) x)))
(.f64 x (fma.f64 y (neg.f64 z) (/.f64 (.f64 z z) x)))
(* x (+ (* -1 (* y z)) (/ (pow z 2) x)))
(.f64 x (fma.f64 y (neg.f64 z) (/.f64 (.f64 z z) x)))
(* -1 (* x (* y z)))
(.f64 y (.f64 x (neg.f64 z)))
(* -1 (* x (+ (* -1 (/ (pow z 2) x)) (* y z))))
(.f64 x (fma.f64 y (neg.f64 z) (/.f64 (.f64 z z) x)))
(* -1 (* x (+ (* -1 (/ (pow z 2) x)) (* y z))))
(.f64 x (fma.f64 y (neg.f64 z) (/.f64 (.f64 z z) x)))
(* -1 (* x (+ (* -1 (/ (pow z 2) x)) (* y z))))
(.f64 x (fma.f64 y (neg.f64 z) (/.f64 (.f64 z z) x)))

eval179.0ms (1.6%)

Memory: 51.7MiB live, 505.3MiB allocated
Compiler: Compiled 50 083 to 2 724 computations (94.6% saved)

prune183.0ms (1.6%)

Memory

-14.6MiB live, 583.1MiB allocated

Pruning

49 alts after pruning (44 fresh and 5 done)

	Pruned	Kept	Total
New	1 332	22	1 354
Fresh	4	22	26
Picked	3	2	5
Done	0	3	3
Total	1 339	49	1 388

Accuracy

100.0%

Counts

1 388 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.5%	(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 z (*.f64 y y)) z)
	84.9%	(fma.f64 (/.f64 (sin.f64 y) z) (.f64 x z) (.f64 z (cos.f64 y)))
	36.5%	(fma.f64 (.f64 (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) y z)
	45.7%	(fma.f64 (*.f64 z x) (/.f64 y z) z)
	36.5%	(fma.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 z #s(literal -1/2 binary64))) z)
	35.5%	(fma.f64 (.f64 y y) (.f64 z (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal -1/48 binary64))))) z)
	36.5%	(fma.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal 1/24 binary64))) z)
	36.6%	(fma.f64 (.f64 y y) (.f64 z #s(literal -1/2 binary64)) z)
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
▶	66.2%	(fma.f64 (cos.f64 y) z (*.f64 x y))
	51.9%	(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z)
▶	51.9%	(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
	12.4%	(fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z)))) x) z)
	36.8%	(fma.f64 y (.f64 z (.f64 y #s(literal -1/2 binary64))) z)
✓	53.4%	(fma.f64 y x z)
	77.5%	(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
▶	99.7%	(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 x (sin.f64 y))) (cos.f64 y)) (cos.f64 y) (.f64 (cos.f64 y) (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
▶	18.5%	(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
	47.3%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 z (.f64 z #s(literal 1/2 binary64)))) (.f64 (cos.f64 (+.f64 y y)) (.f64 z (*.f64 z #s(literal 1/2 binary64)))))))
	34.8%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
	18.7%	(/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (.f64 y x) z) (.f64 z z))) (.f64 (-.f64 (.f64 y x) z) (-.f64 (*.f64 y x) z)))
	29.0%	(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
	70.3%	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))) (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 2 binary64))))
	60.1%	(/.f64 (.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
	25.2%	(/.f64 (.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
	26.4%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
	18.3%	(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y x)) x (.f64 z (-.f64 z (*.f64 y x))))))
	13.3%	(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 x x) (.f64 z (-.f64 z (*.f64 y x))))))
	7.6%	(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 y (*.f64 x (neg.f64 z))))))
	12.5%	(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 z (*.f64 x y)))))
	4.3%	(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 y y) (.f64 y (neg.f64 z))))))
	5.1%	(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y)))))
	17.6%	(.f64 (fma.f64 (.f64 x (.f64 y (.f64 x (.f64 y x)))) y (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
	60.2%	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
	2.9%	(.f64 (.f64 (.f64 y y) (.f64 y y)) (*.f64 z #s(literal 1/24 binary64)))
	12.6%	(.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
	36.5%	(.f64 z (fma.f64 (.f64 y y) (fma.f64 (.f64 y 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)))
	85.6%	(*.f64 z (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))
	85.6%	(.f64 z (fma.f64 (sin.f64 y) (.f64 (/.f64 #s(literal 1 binary64) z) x) (cos.f64 y)))
✓	89.7%	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
✓	60.6%	(*.f64 z (cos.f64 y))
▶	38.7%	(*.f64 z #s(literal 1 binary64))
	38.6%	(*.f64 y (+.f64 x (/.f64 z y)))
	43.3%	(.f64 x (fma.f64 z (/.f64 (.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
	85.7%	(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
	45.1%	(*.f64 x (+.f64 y (/.f64 z x)))
	40.8%	(*.f64 x (sin.f64 y))
✓	17.4%	(*.f64 x y)

Compiler

Compiled 2 016 to 1 094 computations (45.7% saved)

simplify309.0ms (2.7%)

Memory

-34.0MiB live, 511.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 (cos.f64 y) z (*.f64 x y))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z)))
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
✓	cost-diff	320	(fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x))))
✓	cost-diff	0	(.f64 x (.f64 y #s(literal -1/6 binary64)))
✓	cost-diff	0	(fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64))))
✓	cost-diff	0	(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x)
✓	cost-diff	0	(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
✓	cost-diff	320	(*.f64 z #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (sin.f64 y))) (cos.f64 y))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	384	(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 x (sin.f64 y))) (cos.f64 y)) (cos.f64 y) (.f64 (cos.f64 y) (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓	cost-diff	21248	(fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 x (sin.f64 y))) (cos.f64 y)) (cos.f64 y) (.f64 (cos.f64 y) (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))

Rules

8 850×	`lower-fma.f32`
8 834×	`lower-fma.f64`
3 794×	`lower-*.f32`
3 762×	`lower-*.f64`
1 970×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	330
0	83	322
1	158	308
2	382	292
3	921	286
4	2025	281
5	4723	281
6	5632	281
7	6385	281
0	8058	276

Stop Event

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

Calls

Call 1

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

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

localize159.0ms (1.4%)

Memory

-8.5MiB live, 276.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) z (*.f64 x y))
✓	accuracy	95.0%	(.f64 z (-.f64 z (.f64 y x)))
✓	accuracy	89.4%	(.f64 y (.f64 x (*.f64 y x)))
✓	accuracy	89.2%	(fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x))))
✓	accuracy	35.7%	(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x)
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
✓	accuracy	99.7%	(.f64 x (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.4%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	100.0%	(*.f64 z #s(literal 1 binary64))
✓	accuracy	99.7%	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (sin.f64 y)))
✓	accuracy	99.7%	(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 x (sin.f64 y))) (cos.f64 y)) (cos.f64 y) (.f64 (cos.f64 y) (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓	accuracy	99.2%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	99.2%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))

Samples

105.0ms

256×

valid

Compiler

Compiled 354 to 51 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 38.0ms (47.7% of total)

ival-cos: 16.0ms (20.1% of total)

ival-add: 11.0ms (13.8% of total)

ival-sin: 5.0ms (6.3% of total)

ival-div: 4.0ms (5% of total)

const: 4.0ms (5% of total)

ival-sub: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series99.0ms (0.9%)

Memory

28.6MiB live, 140.8MiB allocated

Counts

21 → 564

Calls

Call 1

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

Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -3/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -3/2 z) (* -7/6 (* x y)))))))>
#<alt (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))>
#<alt (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))>
#<alt (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))>
#<alt (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))>
#<alt (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))>
#<alt (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))>
#<alt (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))>
#<alt (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))>
#<alt (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))>
#<alt (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))>
#<alt (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (+ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) x)))>
#<alt (* x (+ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) x)))>
#<alt (* x (+ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) x)))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* -1 (* x (+ (* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) x)))))>
#<alt (* -1 (* x (+ (* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) x)))))>
#<alt (* -1 (* x (+ (* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) x)))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))>
#<alt (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))>
#<alt (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))>
#<alt (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* z (+ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) z)))>
#<alt (* z (+ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) z)))>
#<alt (* z (+ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) z)))>
#<alt (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* -1 (* z (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) z)))))>
#<alt (* -1 (* z (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) z)))))>
#<alt (* -1 (* z (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* y (- (* -3/2 z) (* -1 z))))))>
#<alt (+ z (* y (+ x (* y (- (+ (* -3/2 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1 z))))))>
#<alt (/ (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (/ (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (/ (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (/ (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (/ (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (* x (+ (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (* x (+ (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (* z (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (* z (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<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 y)>
#<alt (* y (+ x (* (pow y 2) (- (* -7/6 x) (* -1/2 x)))))>
#<alt (* y (+ x (* (pow y 2) (- (+ (* -7/6 x) (* (pow y 2) (- (* 61/120 x) (+ (* -1/2 (- (* -7/6 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x)))))>
#<alt (* y (+ x (* (pow y 2) (- (+ (* -7/6 x) (* (pow y 2) (- (+ (* 61/120 x) (* (pow y 2) (- (* -547/5040 x) (+ (* -1/2 (- (* 61/120 x) (+ (* -1/2 (- (* -7/6 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -7/6 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -7/6 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x)))))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))>
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#<alt (* x y)>
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#<alt (* x y)>
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#<alt z>
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#<alt (* x y)>
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#<alt (* x y)>
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#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (* x y)>
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#<alt (* y (+ x (* (pow y 2) (+ (* -7/6 x) (* (pow y 2) (+ (* -547/5040 (* x (pow y 2))) (* 61/120 x)))))))>
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#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
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#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))>
#<alt (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 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 (* -1/6 y)>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* -1 (* x (* y z)))>
#<alt (* z (+ z (* -1 (* x y))))>
#<alt (* z (+ z (* -1 (* x y))))>
#<alt (* z (+ z (* -1 (* x y))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* x (* y z))) (pow z 2))>
#<alt (+ (* -1 (* x (* y z))) (pow z 2))>
#<alt (+ (* -1 (* x (* y z))) (pow z 2))>
#<alt (* -1 (* x (* y z)))>
#<alt (* y (+ (* -1 (* x z)) (/ (pow z 2) y)))>
#<alt (* y (+ (* -1 (* x z)) (/ (pow z 2) y)))>
#<alt (* y (+ (* -1 (* x z)) (/ (pow z 2) y)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* y (+ (* -1 (/ (pow z 2) y)) (* x z))))>
#<alt (* -1 (* y (+ (* -1 (/ (pow z 2) y)) (* x z))))>
#<alt (* -1 (* y (+ (* -1 (/ (pow z 2) y)) (* x z))))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* x (* y z))) (pow z 2))>
#<alt (+ (* -1 (* x (* y z))) (pow z 2))>
#<alt (+ (* -1 (* x (* y z))) (pow z 2))>
#<alt (* -1 (* x (* y z)))>
#<alt (* x (+ (* -1 (* y z)) (/ (pow z 2) x)))>
#<alt (* x (+ (* -1 (* y z)) (/ (pow z 2) x)))>
#<alt (* x (+ (* -1 (* y z)) (/ (pow z 2) x)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (+ (* -1 (/ (pow z 2) x)) (* y z))))>
#<alt (* -1 (* x (+ (* -1 (/ (pow z 2) x)) (* y z))))>
#<alt (* -1 (* x (+ (* -1 (/ (pow z 2) x)) (* y z))))>

Calls

141 calls:

Time	Variable		Point	Expression
13.0ms	y	@	-inf	(/ (+ (* (/ (* (+ (* 1/2 (cos (* y -2))) 1/2) (* x (sin y))) (cos y)) (cos y)) (* (cos y) (* z (+ (* 1/2 (cos (* y -2))) 1/2)))) (+ 1/2 (* 1/2 (cos (+ y y)))))
7.0ms	x	@	-inf	(/ (+ (* (/ (* (+ (* 1/2 (cos (* y -2))) 1/2) (* x (sin y))) (cos y)) (cos y)) (* (cos y) (* z (+ (* 1/2 (cos (* y -2))) 1/2)))) (+ 1/2 (* 1/2 (cos (+ y y)))))
5.0ms	x	@	0	(* (+ (* 1/2 (cos (* y -2))) 1/2) (* x (sin y)))
2.0ms	x	@	0	(/ (* (+ (* 1/2 (cos (* y -2))) 1/2) (* x (sin y))) (cos y))
2.0ms	z	@	0	(/ (+ (* (/ (* (+ (* 1/2 (cos (* y -2))) 1/2) (* x (sin y))) (cos y)) (cos y)) (* (cos y) (* z (+ (* 1/2 (cos (* y -2))) 1/2)))) (+ 1/2 (* 1/2 (cos (+ y y)))))

rewrite758.0ms (6.6%)

Memory

3.5MiB live, 527.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 892×	`lower-fma.f32`
7 876×	`lower-fma.f64`
5 408×	`lower-*.f32`
5 376×	`lower-*.f64`
4 106×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	245
0	83	239
1	313	213
2	2408	204
0	9283	200

Stop Event

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

Counts

21 → 586

Calls

Call 1

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

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

simplify469.0ms (4.1%)

Memory

27.4MiB live, 649.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 380×	`lower-fma.f64`
11 380×	`lower-fma.f32`
5 994×	`lower-*.f64`
5 994×	`lower-*.f32`
3 026×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	615	7230
1	2208	5874
2	7949	5838
0	8259	5403

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 543

Calls

Call 1

Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -3/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -3/2 z) (* -7/6 (* x y)))))))
(+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* x (+ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) x)))
(* x (+ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) x)))
(* x (+ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) x)))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* -1 (* x (+ (* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) x)))))
(* -1 (* x (+ (* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) x)))))
(* -1 (* x (+ (* -1 (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) x)))))
(* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))))
(* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* z (+ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) z)))
(* z (+ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) z)))
(* z (+ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) z)))
(* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))
(* -1 (* z (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) z)))))
(* -1 (* z (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) z)))))
(* -1 (* z (+ (* -1 (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* y (- (* -3/2 z) (* -1 z))))))
(+ z (* y (+ x (* y (- (+ (* -3/2 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1 z))))))
(/ (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(/ (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(/ (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(/ (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(/ (+ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))))) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* x (+ (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(* x (+ (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(* x (+ (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* -1 (* x (+ (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* x (+ (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* x (+ (* -1 (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* x (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(* z (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(* z (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(/ (* z (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* (cos y) (+ 1/2 (* 1/2 (cos (* -2 y))))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
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 y)
(* y (+ x (* (pow y 2) (- (* -7/6 x) (* -1/2 x)))))
(* y (+ x (* (pow y 2) (- (+ (* -7/6 x) (* (pow y 2) (- (* 61/120 x) (+ (* -1/2 (- (* -7/6 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x)))))
(* y (+ x (* (pow y 2) (- (+ (* -7/6 x) (* (pow y 2) (- (+ (* 61/120 x) (* (pow y 2) (- (* -547/5040 x) (+ (* -1/2 (- (* 61/120 x) (+ (* -1/2 (- (* -7/6 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -7/6 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -7/6 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x)))))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (cos y))
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(* (pow x 2) (pow y 2))
(* -1 (* x (* y z)))
(* z (+ z (* -1 (* x y))))
(* z (+ z (* -1 (* x y))))
(* z (+ z (* -1 (* x y))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(* (pow z 2) (+ 1 (* -1 (/ (* x y) z))))
(pow z 2)
(+ (* -1 (* x (* y z))) (pow z 2))
(+ (* -1 (* x (* y z))) (pow z 2))
(+ (* -1 (* x (* y z))) (pow z 2))
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ (pow z 2) y)))
(* y (+ (* -1 (* x z)) (/ (pow z 2) y)))
(* y (+ (* -1 (* x z)) (/ (pow z 2) y)))
(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ (pow z 2) y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (pow z 2) y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (pow z 2) y)) (* x z))))
(pow z 2)
(+ (* -1 (* x (* y z))) (pow z 2))
(+ (* -1 (* x (* y z))) (pow z 2))
(+ (* -1 (* x (* y z))) (pow z 2))
(* -1 (* x (* y z)))
(* x (+ (* -1 (* y z)) (/ (pow z 2) x)))
(* x (+ (* -1 (* y z)) (/ (pow z 2) x)))
(* x (+ (* -1 (* y z)) (/ (pow z 2) x)))
(* -1 (* x (* y z)))
(* -1 (* x (+ (* -1 (/ (pow z 2) x)) (* y z))))
(* -1 (* x (+ (* -1 (/ (pow z 2) x)) (* y z))))
(* -1 (* x (+ (* -1 (/ (pow z 2) x)) (* y z))))

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

eval221.0ms (1.9%)

Memory: -8.5MiB live, 407.4MiB allocated
Compiler: Compiled 49 143 to 2 633 computations (94.6% saved)

prune234.0ms (2%)

Memory

-25.8MiB live, 483.2MiB allocated

Pruning

57 alts after pruning (50 fresh and 7 done)

	Pruned	Kept	Total
New	1 262	22	1 284
Fresh	11	28	39
Picked	3	2	5
Done	0	5	5
Total	1 276	57	1 333

Accuracy

100.0%

Counts

1 333 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.5%	(fma.f64 (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)) z (.f64 x y))
	36.5%	(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 z (*.f64 y y)) z)
	84.9%	(fma.f64 (/.f64 (sin.f64 y) z) (.f64 x z) (.f64 z (cos.f64 y)))
	45.7%	(fma.f64 (*.f64 z x) (/.f64 y z) z)
	36.5%	(fma.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 z #s(literal -1/2 binary64))) z)
	36.5%	(fma.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal 1/24 binary64))) z)
	36.6%	(fma.f64 (.f64 y y) (.f64 z #s(literal -1/2 binary64)) z)
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
✓	66.2%	(fma.f64 (cos.f64 y) z (*.f64 x y))
✓	51.9%	(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
	12.4%	(fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z)))) x) z)
	51.7%	(fma.f64 y (fma.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x) z)
	36.8%	(fma.f64 y (.f64 z (.f64 y #s(literal -1/2 binary64))) z)
	36.9%	(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64)))) z)
✓	53.4%	(fma.f64 y x z)
	77.5%	(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
	18.1%	(/.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y (.f64 y x)) x) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
	18.5%	(/.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
	14.9%	(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x)))))
	15.0%	(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 (-.f64 z (.f64 y x)) z (.f64 y (.f64 y (.f64 x x)))))
	18.4%	(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 (.f64 y (.f64 y x)) x (.f64 z (-.f64 z (.f64 y x)))))
	12.5%	(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 z (-.f64 z (.f64 x y))))
	7.5%	(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 y (fma.f64 z (neg.f64 x) (.f64 x (*.f64 x y)))))
	5.1%	(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 x (.f64 x (*.f64 y y))))
	66.1%	(/.f64 (fma.f64 (.f64 x y) (cos.f64 y) (.f64 (cos.f64 y) (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
	47.3%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 z (.f64 z #s(literal 1/2 binary64)))) (.f64 (cos.f64 (+.f64 y y)) (.f64 z (*.f64 z #s(literal 1/2 binary64)))))))
	18.7%	(/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (.f64 y x) z) (.f64 z z))) (.f64 (-.f64 (.f64 y x) z) (-.f64 (*.f64 y x) z)))
	29.0%	(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
	15.3%	(/.f64 (.f64 (fma.f64 z z (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 z (.f64 y x)))) (fma.f64 y x z)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
	70.3%	(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))) (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 2 binary64))))
	99.6%	(/.f64 (.f64 (cos.f64 y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (tan.f64 y))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
	60.1%	(/.f64 (.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
	12.7%	(/.f64 (.f64 z (.f64 z z)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
	25.2%	(/.f64 (.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
	26.4%	(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
	4.1%	(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 y y))) y)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x)))))
	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
	4.3%	(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 y y) (.f64 y (neg.f64 z))))))
	17.6%	(.f64 (fma.f64 (.f64 x (.f64 y (.f64 x (.f64 y x)))) y (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
	60.2%	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
	2.9%	(.f64 (.f64 (.f64 y y) (.f64 y y)) (*.f64 z #s(literal 1/24 binary64)))
	12.6%	(.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
	40.8%	(*.f64 (sin.f64 y) x)
	36.5%	(.f64 z (fma.f64 (.f64 y y) (fma.f64 (.f64 y 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)))
	85.6%	(*.f64 z (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))
	85.6%	(.f64 z (fma.f64 (sin.f64 y) (.f64 (/.f64 #s(literal 1 binary64) z) x) (cos.f64 y)))
✓	89.7%	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
✓	60.6%	(*.f64 z (cos.f64 y))
	51.4%	(*.f64 y (fma.f64 (cos.f64 y) (/.f64 z y) x))
	17.4%	(.f64 y (fma.f64 y (.f64 (*.f64 x y) #s(literal -1/6 binary64)) x))
	38.6%	(*.f64 y (+.f64 x (/.f64 z y)))
	85.7%	(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
	52.1%	(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) y))
	45.1%	(*.f64 x (+.f64 y (/.f64 z x)))
	3.0%	(.f64 x (.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64)))
✓	17.4%	(*.f64 x y)
	38.7%	z

Compiler

Compiled 3 169 to 961 computations (69.7% saved)

regimes111.0ms (1%)

Memory

8.9MiB live, 246.4MiB allocated

Counts

91 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) z)
(fma.f64 y (.f64 z (.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 y y) (.f64 z #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 x (.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64)))
(.f64 y (fma.f64 y (.f64 (*.f64 x y) #s(literal -1/6 binary64)) x))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64)))) z)
(fma.f64 (*.f64 z x) (/.f64 y z) z)
(.f64 (.f64 (.f64 y y) (.f64 y y)) (*.f64 z #s(literal 1/24 binary64)))
(fma.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal 1/24 binary64))) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) y z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 z (*.f64 y y)) z)
(fma.f64 y (fma.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z)
(fma.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 z #s(literal -1/2 binary64))) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 (.f64 y 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)))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(fma.f64 (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)) z (.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(/.f64 (.f64 z (.f64 z z)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 z (-.f64 z (.f64 x y))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 x (.f64 x (*.f64 y y))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 z (*.f64 x y)))))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 y y))) y)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 y (fma.f64 z (neg.f64 x) (.f64 x (*.f64 x y)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 y y) (.f64 y (neg.f64 z))))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 (.f64 y (.f64 y x)) x (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 (-.f64 z (.f64 y x)) z (.f64 y (.f64 y (.f64 x x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y (.f64 y x)) x) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 y (*.f64 x (neg.f64 z))))))
(.f64 (fma.f64 (.f64 x (.f64 y (.f64 x (.f64 y x)))) y (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 x x) (.f64 z (-.f64 z (*.f64 y x))))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y x)) x (.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (.f64 y x) z) (.f64 z z))) (.f64 (-.f64 (.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (.f64 (fma.f64 z z (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 z (.f64 y x)))) (fma.f64 y x z)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(fma.f64 (.f64 y y) (.f64 z (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal -1/48 binary64))))) z)
(fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z)))) x) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (sin.f64 y) x)
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x y))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) y))
(*.f64 y (fma.f64 (cos.f64 y) (/.f64 z y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(*.f64 z (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)))
(.f64 z (fma.f64 (sin.f64 y) (.f64 (/.f64 #s(literal 1 binary64) z) x) (cos.f64 y)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(fma.f64 (/.f64 (sin.f64 y) z) (.f64 x z) (.f64 z (cos.f64 y)))
(/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(/.f64 (.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (.f64 x y) (cos.f64 y) (.f64 (cos.f64 y) (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(/.f64 (-.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 z (cos.f64 y)) (.f64 x (sin.f64 y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (.f64 x (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 z (.f64 z #s(literal 1/2 binary64)))) (.f64 (cos.f64 (+.f64 y y)) (.f64 z (*.f64 z #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (cos.f64 y) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) z (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (tan.f64 y))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(.f64 x (fma.f64 z (/.f64 (.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))))
(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 x (sin.f64 y))) (cos.f64 y)) (cos.f64 y) (.f64 (cos.f64 y) (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64))) (.f64 (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)))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (sin.f64 y) (/.f64 x z))) (pow.f64 (.f64 (sin.f64 y) (/.f64 x z)) #s(literal 2 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))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (/.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))

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

Calls

4 calls:

27.0ms	x
27.0ms	y
27.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
25.0ms	z

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes77.0ms (0.7%)

Memory

-4.2MiB live, 195.1MiB allocated

Counts

59 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) z)
(fma.f64 y (.f64 z (.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 y y) (.f64 z #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 x (.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64)))
(.f64 y (fma.f64 y (.f64 (*.f64 x y) #s(literal -1/6 binary64)) x))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64)))) z)
(fma.f64 (*.f64 z x) (/.f64 y z) z)
(.f64 (.f64 (.f64 y y) (.f64 y y)) (*.f64 z #s(literal 1/24 binary64)))
(fma.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal 1/24 binary64))) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) y z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 z (*.f64 y y)) z)
(fma.f64 y (fma.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z)
(fma.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 z #s(literal -1/2 binary64))) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 (.f64 y 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)))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(fma.f64 (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)) z (.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(/.f64 (.f64 z (.f64 z z)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 z (-.f64 z (.f64 x y))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 x (.f64 x (*.f64 y y))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 z (*.f64 x y)))))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 y y))) y)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 y (fma.f64 z (neg.f64 x) (.f64 x (*.f64 x y)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 y y) (.f64 y (neg.f64 z))))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 (.f64 y (.f64 y x)) x (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 (-.f64 z (.f64 y x)) z (.f64 y (.f64 y (.f64 x x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y (.f64 y x)) x) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 y (*.f64 x (neg.f64 z))))))
(.f64 (fma.f64 (.f64 x (.f64 y (.f64 x (.f64 y x)))) y (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 x x) (.f64 z (-.f64 z (*.f64 y x))))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y x)) x (.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (.f64 y x) z) (.f64 z z))) (.f64 (-.f64 (.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (.f64 (fma.f64 z z (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 z (.f64 y x)))) (fma.f64 y x z)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(fma.f64 (.f64 y y) (.f64 z (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal -1/48 binary64))))) z)
(fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z)))) x) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (sin.f64 y) x)
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x y))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) y))
(*.f64 y (fma.f64 (cos.f64 y) (/.f64 z y) x))

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

Calls

4 calls:

20.0ms	y
18.0ms	x
18.0ms	z
17.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

Accuracy	Segments	Branch
91.0%	3	`x`
82.5%	3	`y`
86.5%	3	`z`
80.4%	2	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes115.0ms (1%)

Memory

-10.0MiB live, 109.9MiB allocated

Counts

55 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) z)
(fma.f64 y (.f64 z (.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 y y) (.f64 z #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 x (.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64)))
(.f64 y (fma.f64 y (.f64 (*.f64 x y) #s(literal -1/6 binary64)) x))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64)))) z)
(fma.f64 (*.f64 z x) (/.f64 y z) z)
(.f64 (.f64 (.f64 y y) (.f64 y y)) (*.f64 z #s(literal 1/24 binary64)))
(fma.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal 1/24 binary64))) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) y z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 z (*.f64 y y)) z)
(fma.f64 y (fma.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z)
(fma.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 z #s(literal -1/2 binary64))) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 (.f64 y 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)))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(fma.f64 (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)) z (.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(/.f64 (.f64 z (.f64 z z)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 z (-.f64 z (.f64 x y))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 x (.f64 x (*.f64 y y))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 z (*.f64 x y)))))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 y y))) y)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 y (fma.f64 z (neg.f64 x) (.f64 x (*.f64 x y)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 y y) (.f64 y (neg.f64 z))))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 (.f64 y (.f64 y x)) x (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 (-.f64 z (.f64 y x)) z (.f64 y (.f64 y (.f64 x x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y (.f64 y x)) x) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 y (*.f64 x (neg.f64 z))))))
(.f64 (fma.f64 (.f64 x (.f64 y (.f64 x (.f64 y x)))) y (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 x x) (.f64 z (-.f64 z (*.f64 y x))))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y x)) x (.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (.f64 y x) z) (.f64 z z))) (.f64 (-.f64 (.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (.f64 (fma.f64 z z (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 z (.f64 y x)))) (fma.f64 y x z)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(fma.f64 (.f64 y y) (.f64 z (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal -1/48 binary64))))) z)
(fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z)))) x) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (sin.f64 y) x)

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

Calls

4 calls:

65.0ms	y
16.0ms	x
15.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
15.0ms	z

Results

Accuracy	Segments	Branch
66.7%	4	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
82.4%	5	`y`
80.6%	3	`z`
80.1%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes49.0ms (0.4%)

Memory

20.4MiB live, 96.2MiB allocated

Counts

53 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) z)
(fma.f64 y (.f64 z (.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 y y) (.f64 z #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 x (.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64)))
(.f64 y (fma.f64 y (.f64 (*.f64 x y) #s(literal -1/6 binary64)) x))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64)))) z)
(fma.f64 (*.f64 z x) (/.f64 y z) z)
(.f64 (.f64 (.f64 y y) (.f64 y y)) (*.f64 z #s(literal 1/24 binary64)))
(fma.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal 1/24 binary64))) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) y z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 z (*.f64 y y)) z)
(fma.f64 y (fma.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z)
(fma.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 z #s(literal -1/2 binary64))) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 (.f64 y 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)))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(fma.f64 (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)) z (.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(/.f64 (.f64 z (.f64 z z)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 z (-.f64 z (.f64 x y))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 x (.f64 x (*.f64 y y))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 z (*.f64 x y)))))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 y y))) y)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 y (fma.f64 z (neg.f64 x) (.f64 x (*.f64 x y)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 y y) (.f64 y (neg.f64 z))))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 (.f64 y (.f64 y x)) x (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 (-.f64 z (.f64 y x)) z (.f64 y (.f64 y (.f64 x x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y (.f64 y x)) x) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 y (*.f64 x (neg.f64 z))))))
(.f64 (fma.f64 (.f64 x (.f64 y (.f64 x (.f64 y x)))) y (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 x x) (.f64 z (-.f64 z (*.f64 y x))))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y x)) x (.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (.f64 y x) z) (.f64 z z))) (.f64 (-.f64 (.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (.f64 (fma.f64 z z (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 z (.f64 y x)))) (fma.f64 y x z)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(fma.f64 (.f64 y y) (.f64 z (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal -1/48 binary64))))) z)
(fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z)))) x) z)
(*.f64 x (sin.f64 y))

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

Calls

3 calls:

16.0ms	y
16.0ms	x
14.0ms	z

Results

Accuracy	Segments	Branch
75.5%	3	`y`
62.7%	3	`x`
66.1%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes64.0ms (0.6%)

Memory

6.4MiB live, 128.1MiB allocated

Counts

52 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 y x z)
(fma.f64 #s(literal -1/2 binary64) (.f64 z (.f64 y y)) z)
(fma.f64 y (.f64 z (.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 y y) (.f64 z #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 x (.f64 (.f64 y (.f64 y y)) #s(literal -1/6 binary64)))
(.f64 y (fma.f64 y (.f64 (*.f64 x y) #s(literal -1/6 binary64)) x))
(fma.f64 y (.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64)))) z)
(fma.f64 (*.f64 z x) (/.f64 y z) z)
(.f64 (.f64 (.f64 y y) (.f64 y y)) (*.f64 z #s(literal 1/24 binary64)))
(fma.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal 1/24 binary64))) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) y z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 z (*.f64 y y)) z)
(fma.f64 y (fma.f64 y (.f64 z (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z)
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z)
(fma.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 z #s(literal -1/2 binary64))) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 (.f64 y 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)))
(/.f64 (-.f64 (.f64 z z) (.f64 y (.f64 x (.f64 y x)))) (-.f64 z (*.f64 y x)))
(fma.f64 (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)) z (.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))))
(/.f64 (.f64 z (.f64 z z)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 z (-.f64 z (.f64 x y))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 x (.f64 x (*.f64 y y))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 z (-.f64 z (*.f64 x y)))))
(/.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 y y))) y)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 y y)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (.f64 y (fma.f64 z (neg.f64 x) (.f64 x (*.f64 x y)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 y y) (.f64 y (neg.f64 z))))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 (.f64 y (.f64 y x)) x (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (fma.f64 (-.f64 z (.f64 y x)) z (.f64 y (.f64 y (.f64 x x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 y (.f64 x x)) (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y x) (.f64 y x)) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(/.f64 (fma.f64 (.f64 y x) (.f64 (.f64 y (.f64 y x)) x) (.f64 z (.f64 z z))) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 y (*.f64 x (neg.f64 z))))))
(.f64 (fma.f64 (.f64 x (.f64 y (.f64 x (.f64 y x)))) y (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (*.f64 y x))))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 x x) (.f64 z (-.f64 z (*.f64 y x))))))
(.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 x (.f64 y x))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y x)) x (.f64 z (-.f64 z (*.f64 y x))))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 x (.f64 y x))) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (.f64 y x) z) (.f64 z z))) (.f64 (-.f64 (.f64 y x) z) (-.f64 (*.f64 y x) z)))
(/.f64 (.f64 (fma.f64 z z (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 z (.f64 y x)))) (fma.f64 y x z)) (fma.f64 y (.f64 x (.f64 y x)) (.f64 z (-.f64 z (.f64 y x)))))
(fma.f64 (.f64 y y) (.f64 z (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal -1/48 binary64))))) z)
(fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z)))) x) z)

Outputs
(fma.f64 y x z)

Calls

4 calls:

16.0ms	y
16.0ms	x
15.0ms	z
14.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

Accuracy	Segments	Branch
53.4%	1	`x`
53.4%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
53.4%	1	`z`
53.4%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory

-18.8MiB live, 19.2MiB allocated

Counts

3 → 3

Calls

Call 1

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

Outputs
z
(*.f64 x y)
z

Calls

4 calls:

5.0ms	y
2.0ms	z
2.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
2.0ms	x

Results

Accuracy	Segments	Branch
38.7%	1	`y`
45.4%	3	`x`
38.7%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
45.5%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

2 calls:

1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
38.7%	1	`x`
38.7%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch39.0ms (0.3%)

Memory

23.6MiB live, 63.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.78543684354423e-18	9.978621467386942e-15
21.0ms	-1.1767729585114989e-58	-1.0225863708991178e-65

Samples

27.0ms

272×

valid

Compiler

Compiled 338 to 252 computations (25.4% saved)

Precisions

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

ival-sin: 6.0ms (37.4% of total)

ival-cos: 5.0ms (31.2% of total)

ival-mult: 4.0ms (24.9% of total)

ival-add: 1.0ms (6.2% of total)

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

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

bsearch42.0ms (0.4%)

Memory

-16.1MiB live, 59.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.5417367327868817e-66	1.468716172221672e-64
23.0ms	-4.272444130297062e-128	-3.120052986399489e-138

Samples

26.0ms

272×

valid

Compiler

Compiled 287 to 218 computations (24% saved)

Precisions

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

ival-sin: 9.0ms (45.6% of total)

ival-cos: 5.0ms (25.4% of total)

ival-mult: 4.0ms (20.3% of total)

ival-add: 1.0ms (5.1% of total)

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

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

bsearch41.0ms (0.4%)

Memory

11.6MiB live, 49.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	4.2287225423087196e-7	3378.860185238779
17.0ms	-13.506227614094588	-1.5363594875748794e-36

Samples

26.0ms

336×

valid

Compiler

Compiled 456 to 308 computations (32.5% saved)

Precisions

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

ival-sin: 9.0ms (50.4% of total)

ival-mult: 4.0ms (22.4% of total)

ival-cos: 3.0ms (16.8% of total)

ival-add: 1.0ms (5.6% of total)

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

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

bsearch43.0ms (0.4%)

Memory

-18.6MiB live, 33.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.5417367327868817e-66	1.468716172221672e-64
16.0ms	-8.67679180771706e-163	-3.0723411554198225e-167

Samples

19.0ms

224×

valid

Compiler

Compiled 195 to 149 computations (23.6% saved)

Precisions

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

ival-sin: 5.0ms (36.8% of total)

ival-cos: 4.0ms (29.5% of total)

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

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

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

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

simplify7.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	97
1	47	97

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -8684406692798715/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (fma.f64 #s(literal 1 binary64) z (.f64 x (sin.f64 y))) (if (<=.f64 x #s(literal 4381000474388761/162259276829213363391578010288128 binary64)) (.f64 z (cos.f64 y)) (fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))))
(if (<=.f64 z #s(literal -1024323743072435/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 3912846279507389/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(if (<=.f64 y #s(literal -3602879701896397/144115188075855872 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 5620492334958379/72057594037927936 binary64)) (fma.f64 y (fma.f64 z (.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 x (sin.f64 y))))
(fma.f64 y x z)
(if (<=.f64 z #s(literal -6483618076376551/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) z (if (<=.f64 z #s(literal 6070840288205403/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (*.f64 x y) z))
z

Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -8684406692798715/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (fma.f64 #s(literal 1 binary64) z (.f64 x (sin.f64 y))) (if (<=.f64 x #s(literal 4381000474388761/162259276829213363391578010288128 binary64)) (.f64 z (cos.f64 y)) (fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))))
(if (<=.f64 x #s(literal -8684406692798715/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (fma.f64 #s(literal 1 binary64) z (.f64 x (sin.f64 y))) (if (<=.f64 x #s(literal 4381000474388761/162259276829213363391578010288128 binary64)) (.f64 (cos.f64 y) z) (fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))))
(if (<=.f64 z #s(literal -1024323743072435/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 3912846279507389/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -1024323743072435/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) (.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal 3912846279507389/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))
(if (<=.f64 y #s(literal -3602879701896397/144115188075855872 binary64)) (.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 5620492334958379/72057594037927936 binary64)) (fma.f64 y (fma.f64 z (.f64 y #s(literal -1/2 binary64)) x) z) (*.f64 x (sin.f64 y))))
(fma.f64 y x z)
(if (<=.f64 z #s(literal -6483618076376551/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) z (if (<=.f64 z #s(literal 6070840288205403/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (*.f64 x y) z))
(if (<=.f64 z #s(literal -6483618076376551/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) z (if (<=.f64 z #s(literal 6070840288205403/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (*.f64 y x) z))
z

soundness1.1s (9.4%)

Memory

6.2MiB live, 513.8MiB allocated

Rules

14 960×	`lower-fma.f64`
14 960×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
8 782×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	626
1	316	622
2	937	612
3	2505	606
4	4416	606
5	7325	606
0	8407	556
0	762	8494
1	2778	8193
0	8376	7777
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8391	18
0	42	245
0	83	239
1	313	213
2	2408	204
0	9283	200

Stop Event

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

Compiler

Compiled 226 to 126 computations (44.2% saved)

preprocess126.0ms (1.1%)

Memory: 14.9MiB live, 92.7MiB allocated
Compiler: Compiled 224 to 96 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.2s (10.5%)

preprocess46.0ms (0.4%)

explain107.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize34.0ms (0.3%)

series15.0ms (0.1%)

rewrite488.0ms (4.3%)

simplify434.0ms (3.8%)

eval32.0ms (0.3%)

prune66.0ms (0.6%)

simplify843.0ms (7.4%)

localize402.0ms (3.5%)

series113.0ms (1%)

rewrite561.0ms (4.9%)

simplify476.0ms (4.2%)

eval453.0ms (4%)

prune356.0ms (3.1%)

simplify438.0ms (3.8%)

localize141.0ms (1.2%)

series128.0ms (1.1%)

rewrite422.0ms (3.7%)

simplify287.0ms (2.5%)

eval179.0ms (1.6%)

prune183.0ms (1.6%)

simplify309.0ms (2.7%)

localize159.0ms (1.4%)

series99.0ms (0.9%)

rewrite758.0ms (6.6%)

simplify469.0ms (4.1%)

eval221.0ms (1.9%)

prune234.0ms (2%)

regimes111.0ms (1%)

regimes77.0ms (0.7%)

regimes115.0ms (1%)

regimes49.0ms (0.4%)

regimes64.0ms (0.6%)

regimes11.0ms (0.1%)

regimes3.0ms (0%)

bsearch39.0ms (0.3%)

bsearch42.0ms (0.4%)

bsearch41.0ms (0.4%)

bsearch43.0ms (0.4%)

simplify7.0ms (0.1%)

soundness1.1s (9.4%)

preprocess126.0ms (1.1%)

end0.0ms (0%)

Profiling