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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample1.1s (11.9%)

Memory

54.4MiB live, 1 554.8MiB allocated

Samples

812.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 597.0ms

ival-sin: 257.0ms (43% of total)

ival-cos: 157.0ms (26.3% of total)

ival-mult: 138.0ms (23.1% of total)

ival-add: 36.0ms (6% of total)

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

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

Bogosity

preprocess51.0ms (0.6%)

Memory

-13.4MiB live, 61.9MiB 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)))

explain152.0ms (1.7%)

Memory

3.0MiB live, 196.6MiB 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

96.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-cos: 36.0ms (45.6% of total)

ival-add: 21.0ms (26.6% of total)

ival-sin: 11.0ms (13.9% of total)

ival-mult: 10.0ms (12.7% 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)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize40.0ms (0.4%)

Memory

-7.9MiB live, 49.6MiB 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

31.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sin: 14.0ms (60.8% of total)

ival-cos: 5.0ms (21.7% of total)

ival-mult: 3.0ms (13% of total)

ival-add: 1.0ms (4.3% of total)

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

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

series8.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

4 → 96

Calls

Call 1

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

Outputs
#<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 (* 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))>
#<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 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)>

Calls

24 calls:

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

rewrite488.0ms (5.4%)

Memory

22.1MiB live, 871.5MiB 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 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(sin.f64 y)

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

simplify423.0ms (4.7%)

Memory

-7.9MiB live, 566.7MiB 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	935	612
3	2502	606
4	4404	606
5	7338	606
0	8421	556

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 93

Calls

Call 1

Inputs
(* 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))
(* 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))
(* 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)))))
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)

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

eval32.0ms (0.4%)

Memory: -5.7MiB live, 68.5MiB allocated
Compiler: Compiled 9 964 to 551 computations (94.5% saved)

prune79.0ms (0.9%)

Memory

-19.2MiB live, 99.5MiB 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 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z)
	51.9%	(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) 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)))))))
▶	53.4%	(fma.f64 x y z)
▶	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)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize286.0ms (3.2%)

Memory

-12.4MiB live, 484.9MiB 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 x y 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

67.0ms	55×	2	valid
49.0ms	128×	0	valid
47.0ms	72×	1	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: 127.0ms

ival-cos: 34.0ms (26.7% of total)

adjust: 27.0ms (21.2% of total)

ival-mult: 21.0ms (16.5% of total)

ival-div: 10.0ms (7.9% of total)

ival-add: 10.0ms (7.9% of total)

ival-pow: 9.0ms (7.1% of total)

ival-sin: 9.0ms (7.1% of total)

ival-sub: 7.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

series76.0ms (0.8%)

Memory

9.2MiB live, 83.9MiB allocated

Counts

12 → 324

Calls

Call 1

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

Outputs
#<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 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 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 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<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 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<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))>
#<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 (- (* x (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* -1 (/ (* (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 (- (* x (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (/ (* x (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* -1 (/ (* (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 (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* x (- (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow x 3) (sin y))))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))>
#<alt (+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))>
#<alt (/ (- (* (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))))>
#<alt (/ (- (* (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))))>
#<alt (/ (- (* (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))))>
#<alt (/ (- (* (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))))>
#<alt (/ (- (* (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))))>
#<alt (/ (- (* (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))))>
#<alt (/ (- (* (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))))>
#<alt (/ (- (* (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))))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<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 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))>
#<alt (* (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)))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))>
#<alt (* -1 (pow z 2))>
#<alt (- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))>
#<alt (- (* (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))>
#<alt (- (* (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))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (/ (* z (pow (cos y) 3)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (/ (* x (* (pow (cos y) 2) (sin y))) (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (pow (cos y) 3)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (cos y) (pow (sin y) 2)) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (pow (cos y) 2) (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) (/ (* z (pow (cos y) 3)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (cos y) 2) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (+ (/ (* (sin y) (+ (* -1 (/ (* (cos y) (pow (sin y) 2)) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (* z (cos y))) (/ (* (pow (cos y) 2) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (+ (* -1 (/ (* (cos y) (pow (sin y) 2)) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (/ (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (pow (cos y) 2) (sin y)) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) (/ (* z (pow (cos y) 3)) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (+ (/ (* z (* (cos y) (pow (sin y) 2))) (* x (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (* x (- (+ (* -1 (/ (+ (* -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))) (pow x 2))) (/ (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)))))))))>
#<alt (* 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)))))))>
#<alt (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* -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)))))))))>
#<alt (* -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)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 3) (* (cos y) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (pow z 3) (* (cos y) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (- 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* -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)))))))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (- (* y (- (* -2 z) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) (* -1 x))))>
#<alt (+ z (* y (- (* y (- (+ (* -2 z) (* -1 (* y (+ (* -1 (/ (* x (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3)))) (pow z 3))) (+ (* -1 (/ (* x (- (* -2 z) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) z)) (* -1 (/ (+ (* -1/6 (* x (pow z 2))) (* x (+ (* -1 (pow z 2)) (pow x 2)))) (pow z 2)))))))) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) (* -1 x))))>
#<alt (/ (- (* (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)))))>
#<alt (/ (- (* (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)))))>
#<alt (/ (- (* (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)))))>
#<alt (/ (- (* (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)))))>
#<alt (/ (- (* (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)))))>
#<alt (/ (- (* (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)))))>
#<alt (/ (- (* (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)))))>
#<alt (/ (- (* (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)))))>
#<alt (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (/ (* 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))))))>
#<alt (+ (* 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))))))>
#<alt (+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (cos y) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (+ (/ (* (cos y) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (cos y) (+ (* -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))))) (* x (sin y))))))) (+ (* -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))))))>
#<alt (/ (* z (pow (cos y) 3)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* 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)))))))>
#<alt (* z (- (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow x 2) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) (pow z 2))) (/ (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (* x (* (pow (cos y) 2) (sin y))) (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))))))>
#<alt (* z (- (+ (* -1 (/ (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 2) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow x 2) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (cos y)) (/ (* (pow x 3) (* (pow (cos y) 2) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow z 3))) (/ (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* -1 (/ (* x (* (pow (cos y) 2) (sin y))) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* -1 (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (/ (* (pow x 2) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))))))>
#<alt (/ (* z (pow (cos y) 3)) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* -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)))))))))>
#<alt (* -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)))))))))>
#<alt (* -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)))))))))>
#<alt (* -1 (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (* (pow x 4) (pow (sin y) 4))>
#<alt (* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))>
#<alt (* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))>
#<alt (* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))>
#<alt (* (pow x 4) (pow (sin y) 4))>
#<alt (* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))>
#<alt (* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))>
#<alt (* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))>
#<alt (* -1 (pow z 4))>
#<alt (- (* 2 (* (pow y 2) (pow z 4))) (pow z 4))>
#<alt (- (* (pow y 2) (- (* (pow y 2) (- (pow x 4) (* 5/3 (pow z 4)))) (* -2 (pow z 4)))) (pow z 4))>
#<alt (- (* (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))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (* (pow x 4) (pow (sin y) 4))>
#<alt (+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))>
#<alt (+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))>
#<alt (+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))>
#<alt (* -1 (* (pow z 4) (pow (cos y) 4)))>
#<alt (* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))>
#<alt (* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))>
#<alt (* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))>
#<alt (* -1 (* (pow z 4) (pow (cos y) 4)))>
#<alt (* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))>
#<alt (* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))>
#<alt (* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))>

Calls

81 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	(- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4))
6.0ms	x	@	0	(* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))
3.0ms	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)))))
3.0ms	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)))))
2.0ms	x	@	-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)))))

rewrite526.0ms (5.8%)

Memory

47.0MiB live, 980.7MiB 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	169
0	60	98
1	259	76
2	2175	76
0	8700	76

Stop Event

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

Counts

12 → 796

Calls

Call 1

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

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

simplify523.0ms (5.8%)

Memory

-4.6MiB live, 758.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 388×	`lower-fma.f64`
9 388×	`lower-fma.f32`
8 922×	`lower-*.f64`
8 922×	`lower-*.f32`
3 544×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	727	7522
1	2662	7225
0	8859	6886

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 315

Calls

Call 1

Inputs
(* 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))
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)))))
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 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
z
(+ 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)))))
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)))))
(* 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))
(/ (* 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 (- (* x (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* x (- (* x (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (/ (* x (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* x (- (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow x 3) (sin y))))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* -1 (* x (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))
z
(+ z (* x y))
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(/ (- (* (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 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 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 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 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 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 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 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 (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))
(+ (* z (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* z (- (* z (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))
(* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))
(/ (* 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 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))
(* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
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(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
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(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
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(* (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)))))
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(* -1 (pow z 2))
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(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
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(+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
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(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 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))))))
(/ (* z (pow (cos y) 3)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
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(/ (* x (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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(neg.f64 (*.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)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.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)))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sin.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)))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(* -1 (pow z 4))
(neg.f64 (pow.f64 z #s(literal 4 binary64)))
(- (* 2 (* (pow y 2) (pow z 4))) (pow z 4))
(.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 y y) #s(literal -1 binary64)))
(- (* (pow y 2) (- (* (pow y 2) (- (pow x 4) (* 5/3 (pow z 4)))) (* -2 (pow z 4)))) (pow z 4))
(-.f64 (.f64 (.f64 y y) (fma.f64 (.f64 y y) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -5/3 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 4 binary64))))) (pow.f64 z #s(literal 4 binary64)))
(- (* (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))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2/3 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 34/45 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -5/3 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.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)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.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)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.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)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))) (*.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)))
(neg.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (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)))))
(* (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)))
(neg.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (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)))))
(* (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)))))

eval230.0ms (2.5%)

Memory: 35.5MiB live, 483.6MiB allocated
Compiler: Compiled 83 940 to 2 944 computations (96.5% saved)

prune240.0ms (2.6%)

Memory

-38.2MiB live, 376.7MiB allocated

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	1 473	25	1 498
Fresh	8	4	12
Picked	2	3	5
Done	0	0	0
Total	1 483	32	1 515

Accuracy

100.0%

Counts

1 515 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.5%	(fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
	36.6%	(fma.f64 (.f64 y y) (.f64 z #s(literal -1/2 binary64)) z)
	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)))
	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 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)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
▶	51.9%	(fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z)
	12.4%	(fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (/.f64 (.f64 x x) (neg.f64 z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 x x (.f64 z (neg.f64 z))))) (.f64 z z)))) x) z)
✓	53.4%	(fma.f64 x y z)
	77.5%	(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
	45.9%	(/.f64 (fma.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 x 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))))
	47.8%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x (neg.f64 (.f64 (*.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))))))
	45.4%	(/.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 (.f64 x 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))))))))
▶	15.2%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 x x))))
	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)))))
	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))))))
	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
	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 y (.f64 y (fma.f64 y (*.f64 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)))
▶	85.7%	(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
	26.4%	(.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (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 1 235 to 750 computations (39.3% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize224.0ms (2.5%)

Memory

5.7MiB live, 534.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 x x)))
✓	accuracy	84.5%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 x x))
✓	accuracy	83.3%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 x x))))
✓	accuracy	80.4%	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
✓	accuracy	99.8%	(/.f64 (cos.f64 y) x)
✓	accuracy	85.8%	(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x)
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z)
✓	accuracy	99.8%	(fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64)))
✓	accuracy	99.4%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))

Samples

72.0ms	75×	2	valid
52.0ms	128×	0	valid
18.0ms	20×	3	valid
18.0ms	33×	1	valid

Compiler

Compiled 248 to 40 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-cos: 31.0ms (26% of total)

ival-mult: 26.0ms (21.8% of total)

adjust: 18.0ms (15.1% of total)

ival-add: 17.0ms (14.3% of total)

ival-div: 14.0ms (11.7% of total)

ival-sin: 5.0ms (4.2% of total)

const: 4.0ms (3.4% of total)

ival-sub: 3.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.6%)

Memory

9.0MiB live, 125.1MiB allocated

Counts

17 → 480

Calls

Call 1

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

Outputs
#<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>
#<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 (* 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 (* x (sin y)))>
#<alt (+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)>
#<alt (/ 1 (* z (cos y)))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))>
#<alt (+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)>
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)>
#<alt (/ 1 (* x (sin y)))>
#<alt (* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) 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 (* 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 (* 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>
#<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 (* 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 (* 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 (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (* -1/6 (* x y))>
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))>
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))>
#<alt (* x (+ (* -1/2 (/ z x)) (* -1/6 y)))>
#<alt (* -1/6 (* x y))>
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))>
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))>
#<alt (* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (* -1/6 (* x y))>
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* y (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* -1/6 (* x y))>
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1/6 (* x y))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (+ (* -1/2 z) (* -1/6 (* x y)))>
#<alt (* -1/2 z)>
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))>
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))>
#<alt (* z (- (* -1/6 (/ (* x y) z)) 1/2))>
#<alt (* -1/2 z)>
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) 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 (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))>
#<alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<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 x>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))>
#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))>
#<alt (* -1/2 (* y z))>
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))>
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))>
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))>
#<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 (* 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>
#<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)) x)))>
#<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) (/ (* z (cos y)) x)))>
#<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 (/ 1 x)>
#<alt (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))>
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (/ (* z (cos y)) x)>
#<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)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (/ z x)>
#<alt (+ y (/ z x))>
#<alt (+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))>
#<alt (+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (/ (* z (cos y)) x)>
#<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 (sin y)>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<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 (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* -1/2 (cos (* -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 (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (* z (cos y))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* (pow z 2) (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (* z (cos y))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (* z (cos y)))) (* x (- (* -1 (/ (* x (* (pow (sin y) 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* (pow z 3) (pow (cos y) 3)))) (/ (* (sin y) (+ 1/2 (* -1/2 (cos (* -2 y))))) (* (pow z 2) (pow (cos y) 2)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (* z (cos y)))) (* x (- (* x (- (* -1 (/ (* x (* (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* (pow z 4) (pow (cos y) 4)))) (/ (* (pow (sin y) 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (* (pow z 3) (pow (cos y) 3))))) (/ (* (sin y) (+ 1/2 (* -1/2 (cos (* -2 y))))) (* (pow z 2) (pow (cos y) 2)))))))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (* x (+ (* -1/2 (/ (cos (* -2 y)) (sin y))) (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* x (pow (sin y) 2))))))>
#<alt (* x (- (+ (* -1/2 (/ (cos (* -2 y)) (sin y))) (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* (pow x 2) (pow (sin y) 3))))) (* -1 (/ (* z (* (cos y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* x (pow (sin y) 2))))))>
#<alt (* x (- (+ (* -1/2 (/ (cos (* -2 y)) (sin y))) (+ (* 1/2 (/ 1 (sin y))) (/ (* (pow z 3) (* (pow (cos y) 3) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* (pow x 3) (pow (sin y) 4))))) (+ (* -1 (/ (* z (* (cos y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* (pow x 2) (pow (sin y) 3)))))))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (cos y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))) (* -1 (/ (- (/ (* (pow z 2) (* (pow (cos y) 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* x (pow (sin y) 3))) (* -1 (/ (* z (* (cos y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (pow (sin y) 2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1/2 (* -1/2 (cos (* -2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (* (pow (cos y) 3) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (* (pow (cos y) 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (pow (sin y) 2)))) x)))))>
#<alt (* -1 (/ (* (pow x 2) (pow y 2)) z))>
#<alt (* (pow y 2) (+ (* -1 (/ (* (pow x 3) y) (pow z 2))) (* -1 (/ (pow x 2) z))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) z)) (* y (- (* y (- (* 1/3 (/ (pow x 2) z)) (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2))))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) z)) (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* 1/3 (/ (pow x 2) z)) (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) z)) (+ (* -1/6 (/ (pow x 3) (pow z 2))) (* 1/2 (/ (pow x 3) (pow z 2))))))) (* 1/3 (/ (pow x 2) z))) (+ (* 1/2 (/ (pow x 2) z)) (/ (pow x 4) (pow z 3))))) (/ (pow x 3) (pow z 2))))))>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y))>
#<alt (+ (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)) (/ (* z (* (cos y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (pow (sin y) 2)))>
#<alt (+ (* z (- (/ (* z (* (pow (cos y) 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* x (pow (sin y) 3))) (* -1 (/ (* (cos y) (+ 1/2 (* -1/2 (cos (* -2 y))))) (pow (sin y) 2))))) (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (+ (* z (- (* z (- (/ (* z (* (pow (cos y) 3) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* (pow x 2) (pow (sin y) 4))) (* -1 (/ (* (pow (cos y) 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (+ 1/2 (* -1/2 (cos (* -2 y))))) (pow (sin y) 2))))) (/ (* x (+ 1/2 (* -1/2 (cos (* -2 y))))) (sin y)))>
#<alt (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (* z (cos y))))>
#<alt (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (cos y))) (* -1 (/ (* (pow x 3) (* (sin y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (cos y))) (* -1 (/ (* (pow x 4) (* (pow (sin y) 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* (pow z 2) (pow (cos y) 3))))) (/ (* (pow x 3) (* (sin y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (cos y))) (* -1 (/ (* (pow x 5) (* (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* (pow z 3) (pow (cos y) 4))))) (+ (/ (* (pow x 3) (* (sin y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))) (/ (* (pow x 4) (* (pow (sin y) 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* (pow z 2) (pow (cos y) 3))))) z)>
#<alt (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (* z (cos y))))>
#<alt (* -1 (/ (+ (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (cos y)) (/ (* (pow x 3) (* (sin y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (* (pow (sin y) 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* z (pow (cos y) 3)))) (/ (* (pow x 3) (* (sin y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (pow (cos y) 2))) z)) (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (cos y))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (* (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 4) (* (pow (sin y) 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (pow (cos y) 3)))) z)) (/ (* (pow x 3) (* (sin y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (pow (cos y) 2))) z)) (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (cos y))) z))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))>
#<alt (* (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)))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))>
#<alt (/ 1 (* (pow x 2) (pow y 2)))>
#<alt (/ (+ (* 1/3 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))) (pow y 2))>
#<alt (/ (+ (* (pow y 2) (+ (* 1/15 (/ (pow y 2) (pow x 2))) (* 1/3 (/ 1 (pow x 2))))) (/ 1 (pow x 2))) (pow y 2))>
#<alt (/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 2/189 (/ (pow y 2) (pow x 2))) (* 1/15 (/ 1 (pow x 2))))) (* 1/3 (/ 1 (pow x 2))))) (/ 1 (pow x 2))) (pow y 2))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))>

Calls

120 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	(/ 1 (+ (* z (cos y)) (* x (sin y))))
5.0ms	z	@	inf	(/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (* (+ 1/2 (* -1/2 (cos (* y -2)))) (* x x))))
2.0ms	y	@	0	(* x (+ (* z (/ (cos y) x)) (sin y)))
2.0ms	x	@	inf	(+ (* y (+ (* x (* y -1/6)) (* z -1/2))) x)
1.0ms	x	@	0	(* (+ 1/2 (* -1/2 (cos (* y -2)))) (* x x))

rewrite385.0ms (4.3%)

Memory

-1.3MiB live, 631.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 286×	`lower-fma.f32`
5 276×	`lower-fma.f64`
4 448×	`lower-/.f32`
4 436×	`lower-/.f64`
4 410×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	157
0	64	153
1	242	149
2	1748	147
0	8293	143

Stop Event

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

Counts

17 → 749

Calls

Call 1

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

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

simplify436.0ms (4.8%)

Memory

15.0MiB live, 538.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 108×	`lower-*.f64`
8 108×	`lower-*.f32`
7 982×	`lower-fma.f64`
7 982×	`lower-fma.f32`
2 848×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	675	6564
1	2363	6407
0	8362	5953

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 474

Calls

Call 1

Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* 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
(+ 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)))
(* 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 (* x (sin y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ 1 (* z (cos y)))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (* z (cos y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(/ 1 (* x (sin y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/ 1 (* x (sin y)))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) 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))
(* 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))
(* 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
(+ 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)))
(* 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)))
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(* (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) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(/ 1 (* (pow x 2) (pow y 2)))
(/ (+ (* 1/3 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))) (pow y 2))
(/ (+ (* (pow y 2) (+ (* 1/15 (/ (pow y 2) (pow x 2))) (* 1/3 (/ 1 (pow x 2))))) (/ 1 (pow x 2))) (pow y 2))
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 2/189 (/ (pow y 2) (pow x 2))) (* 1/15 (/ 1 (pow x 2))))) (* 1/3 (/ 1 (pow x 2))))) (/ 1 (pow x 2))) (pow y 2))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))

Outputs
(* 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)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.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))
(*.f64 z (cos.f64 y))
(* -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))
(* -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))
(* -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))
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 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 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)))
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(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))
(+ (* 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)))
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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))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
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(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (neg.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))) (neg.f64 x))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
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(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
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(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (.f64 (.f64 x (.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (.f64 (.f64 z z) (.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))) (fma.f64 x (/.f64 (sin.f64 y) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 z (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))) z)
(/ 1 (* z (cos y)))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
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(/ 1 z)
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(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
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(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 x x) (.f64 z (.f64 z z)))) (neg.f64 (/.f64 x (.f64 z z)))) (/.f64 #s(literal 1 binary64) z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(fma.f64 y (-.f64 (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) z) (fma.f64 (fma.f64 (/.f64 x (.f64 z z)) #s(literal 1/3 binary64) (/.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (.f64 x x) (.f64 z (.f64 z z))))) z)) (neg.f64 y) (/.f64 (.f64 x x) (.f64 z (.f64 z z)))))) (/.f64 x (.f64 z z))) (/.f64 #s(literal 1 binary64) z))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
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(/ 1 (+ (* x (sin y)) (* z (cos y))))
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(/ 1 (+ (* x (sin y)) (* z (cos y))))
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(/ 1 (+ (* x (sin y)) (* z (cos y))))
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(/ 1 (+ (* x (sin y)) (* z (cos y))))
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(/ 1 (* z (cos y)))
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(/ 1 (* x (sin y)))
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(/ (- (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (cos y))) (* -1 (/ (* (pow x 5) (* (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* (pow z 3) (pow (cos y) 4))))) (+ (/ (* (pow x 3) (* (sin y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))) (/ (* (pow x 4) (* (pow (sin y) 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* (pow z 2) (pow (cos y) 3))))) z)
(/.f64 (-.f64 (neg.f64 (fma.f64 (.f64 x x) (/.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 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (.f64 (.f64 z z) (.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))))))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 z (.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (/.f64 (.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) (.f64 x (.f64 x x)))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) z)
(* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (* z (cos y))))
(.f64 (.f64 x x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (.f64 z (cos.f64 y)))))
(* -1 (/ (+ (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (cos y)) (/ (* (pow x 3) (* (sin y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) z))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (/.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 (sin.f64 y) (.f64 x (.f64 x x)))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) z)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 4) (* (pow (sin y) 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* z (pow (cos y) 3)))) (/ (* (pow x 3) (* (sin y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (pow (cos y) 2))) z)) (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (cos y))) z))
(neg.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)) (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (.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) (.f64 x (*.f64 x x)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (* (pow (sin y) 3) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 4) (* (pow (sin y) 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (pow (cos y) 3)))) z)) (/ (* (pow x 3) (* (sin y) (+ 1/2 (* -1/2 (cos (* -2 y)))))) (pow (cos y) 2))) z)) (/ (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))) (cos y))) z))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (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 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 (.f64 (pow.f64 (sin.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 z (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 z)) (/.f64 (.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) (.f64 x (.f64 x x)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) (neg.f64 z))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(.f64 (.f64 y y) (fma.f64 y (.f64 y (.f64 (.f64 x x) #s(literal -1/3 binary64))) (.f64 x x)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 x (.f64 x #s(literal -1/3 binary64)) (.f64 #s(literal 2/45 binary64) (.f64 x (.f64 x (.f64 y y)))))) (*.f64 x x)))
(* (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)))
(.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 2/45 binary64)) (.f64 #s(literal -1/315 binary64) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 x x) #s(literal -1/3 binary64))) (.f64 x x)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y)))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ 1 (* (pow x 2) (pow y 2)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 y y))))
(/ (+ (* 1/3 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))) (pow y 2))
(/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) y) y (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 y y))
(/ (+ (* (pow y 2) (+ (* 1/15 (/ (pow y 2) (pow x 2))) (* 1/3 (/ 1 (pow x 2))))) (/ 1 (pow x 2))) (pow y 2))
(/.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 (/.f64 #s(literal 1/15 binary64) (.f64 x x)) y) y (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 y y))
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 2/189 (/ (pow y 2) (pow x 2))) (* 1/15 (/ 1 (pow x 2))))) (* 1/3 (/ 1 (pow x 2))))) (/ 1 (pow x 2))) (pow y 2))
(/.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) #s(literal 2/189 binary64) (/.f64 #s(literal 1/15 binary64) (.f64 x x))) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 y y))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (* (pow x 2) (+ 1/2 (* -1/2 (cos (* -2 y))))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))

eval289.0ms (3.2%)

Memory: 8.6MiB live, 232.1MiB allocated
Compiler: Compiled 37 609 to 2 852 computations (92.4% saved)

prune463.0ms (5.1%)

Memory

-47.0MiB live, 269.7MiB allocated

Pruning

45 alts after pruning (40 fresh and 5 done)

	Pruned	Kept	Total
New	1 249	24	1 273
Fresh	8	16	24
Picked	3	2	5
Done	0	3	3
Total	1 260	45	1 305

Accuracy

100.0%

Counts

1 305 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.2%	(fma.f64 (/.f64 (cos.f64 y) x) (.f64 z x) (.f64 x (sin.f64 y)))
▶	36.5%	(fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 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))
	36.1%	(fma.f64 y (fma.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 z z))) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) z))) x) z)
	12.4%	(fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (/.f64 (.f64 x x) (neg.f64 z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 x x (.f64 z (neg.f64 z))))) (.f64 z z)))) x) z)
	52.2%	(fma.f64 y (fma.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))) x) z)
	36.8%	(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
	36.9%	(fma.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))) z)
✓	53.4%	(fma.f64 x y z)
▶	77.5%	(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
	15.3%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (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 #s(literal 1 binary64) (.f64 x x)))))
	45.4%	(/.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 (.f64 x 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)))))))
	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)))
	26.4%	(/.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y))
	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))))))
	85.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
	60.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z))
	51.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))
	53.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
	40.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
	38.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	35.8%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
	26.2%	(.f64 (/.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 y) (neg.f64 z) (.f64 x (sin.f64 y)))) (*.f64 x #s(literal 1 binary64)))
	1.5%	(.f64 (.f64 y y) (neg.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x y) (.f64 z z)) (/.f64 (.f64 x x) z))))
	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 y (.f64 y (fma.f64 y (*.f64 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)))
	85.8%	(*.f64 x (fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (sin.f64 y)))
	85.7%	(*.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))
	45.3%	(.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
✓	85.7%	(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
▶	85.7%	(*.f64 x (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (sin.f64 y)))
	26.4%	(.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))
	46.6%	(.f64 x (/.f64 (.f64 z (cos.f64 y)) x))
	30.5%	(*.f64 x (/.f64 z x))
	3.0%	(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
	40.8%	(*.f64 x (sin.f64 y))
✓	17.4%	(*.f64 x y)
	2.9%	(neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 y y))) z))

Compiler

Compiled 1 370 to 878 computations (35.9% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize174.0ms (1.9%)

Memory

21.4MiB live, 174.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (sin.f64 y))
✓	accuracy	99.8%	(/.f64 x (cos.f64 y))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y)))
✓	accuracy	86.2%	(*.f64 x (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (sin.f64 y)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	99.9%	(fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
✓	accuracy	99.9%	(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.4%	(*.f64 y #s(literal 1/24 binary64))
✓	accuracy	90.2%	(.f64 z (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 z #s(literal 1 binary64))
✓	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)))

Samples

114.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 139 to 30 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 47.0ms (48.2% of total)

ival-add: 29.0ms (29.7% of total)

ival-sin: 7.0ms (7.2% of total)

ival-div: 5.0ms (5.1% of total)

ival-cos: 5.0ms (5.1% of total)

const: 4.0ms (4.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series59.0ms (0.7%)

Memory

-18.2MiB live, 62.9MiB allocated

Counts

15 → 372

Calls

Call 1

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

Outputs
#<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 (/ 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 (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>
#<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>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<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 (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<alt (* 1/24 y)>
#<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 (* -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 (* 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 (* x (sin y))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt z>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt z>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/6 (* x (pow y 2))))))>
#<alt (+ z (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<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 (* 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>
#<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)) x)))>
#<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) (/ (* z (cos y)) x)))>
#<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 (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ 1 x)>
#<alt (+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))>
#<alt (+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ (cos y) x)>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt x>
#<alt (+ x (* 1/2 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x))))>
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 x) (+ (* 1/48 x) (* 1/2 (+ (* -1/4 x) (* 1/24 x))))))) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x))))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (/ x (cos y))>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (/ (* z (cos y)) x)>
#<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)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (/ (* z (cos y)) x)>
#<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 (sin y)>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (sin y)>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (/ z x)>
#<alt (+ y (/ z x))>
#<alt (+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))>
#<alt (+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>
#<alt (+ (sin y) (/ (* z (cos y)) x))>

Calls

93 calls:

Time	Variable		Point	Expression
15.0ms	y	@	inf	(* z (+ (* x (/ (sin y) z)) (cos y)))
13.0ms	z	@	-inf	(+ (* (* y y) (* z (+ (* y (* y 1/24)) -1/2))) z)
13.0ms	y	@	-inf	(+ (* (* y y) (* z (+ (* y (* y 1/24)) -1/2))) z)
1.0ms	z	@	0	(* z (+ (* y (* y 1/24)) -1/2))
1.0ms	y	@	-inf	(* z (+ (* x (/ (sin y) z)) (cos y)))

rewrite443.0ms (4.9%)

Memory

-7.8MiB live, 633.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 356×	`lower-fma.f32`
8 346×	`lower-fma.f64`
4 854×	`lower-*.f32`
4 840×	`lower-*.f64`
3 302×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	100
0	45	95
1	178	91
2	1268	91
0	8214	90

Stop Event

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

Counts

15 → 505

Calls

Call 1

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

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

simplify428.0ms (4.7%)

Memory

19.5MiB live, 763.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 984×	`lower-fma.f64`
15 984×	`lower-fma.f32`
4 690×	`lower-*.f64`
4 690×	`lower-*.f32`
4 370×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	2739
1	760	2704
2	2224	2664
3	4610	2645
0	8395	2393

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 351

Calls

Call 1

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

Outputs
(* 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)))
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(* z (+ (cos y) (/ (* x (sin y)) z)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* z (cos y))
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
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(+ (* 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)))
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(* x (sin y))
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z
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(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
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(/ y z)
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(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 y (.f64 y y)) (/.f64 y z))
(* 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 (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) z)) (.f64 y (.f64 y y)) (/.f64 y z))
(/ (sin y) z)
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(/ (* x (sin y)) z)
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(/ (* x (sin y)) z)
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(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
1
#s(literal 1 binary64)
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(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 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z)
(* 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) (/ (* 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) (/ (* 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)))
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))
(fma.f64 y (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(fma.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(fma.f64 (.f64 y y) (fma.f64 (/.f64 (.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ (cos y) x)
(/.f64 (cos.f64 y) x)
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
x
(+ x (* 1/2 (* x (pow y 2))))
(fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) x)
(+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x))))
(fma.f64 y (.f64 y (.f64 x (fma.f64 #s(literal 5/24 binary64) (*.f64 y y) #s(literal 1/2 binary64)))) x)
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 x) (+ (* 1/48 x) (* 1/2 (+ (* -1/4 x) (* 1/24 x))))))) (+ (* -1/4 x) (* 1/24 x)))) (* -1/2 x))))
(fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 x #s(literal 61/720 binary64)) y) y (.f64 x #s(literal 5/24 binary64))))) x)
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(/ (* z (cos y)) x)
(*.f64 z (/.f64 (cos.f64 y) x))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(/ (* z (cos y)) x)
(*.f64 z (/.f64 (cos.f64 y) x))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(/ (* z (cos y)) x)
(*.f64 z (/.f64 (cos.f64 y) x))
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) x)
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(sin y)
(sin.f64 y)
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(/ z x)
(/.f64 z x)
(+ y (/ z x))
(+.f64 y (/.f64 z x))
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))
(fma.f64 (/.f64 z x) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))
(fma.f64 (/.f64 z x) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))
(+ (sin y) (/ (* z (cos y)) x))
(fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))

eval150.0ms (1.7%)

Memory: 15.8MiB live, 223.3MiB allocated
Compiler: Compiled 18 642 to 1 675 computations (91% saved)

prune132.0ms (1.5%)

Memory

-16.7MiB live, 376.2MiB allocated

Pruning

45 alts after pruning (39 fresh and 6 done)

	Pruned	Kept	Total
New	882	14	896
Fresh	10	25	35
Picked	3	2	5
Done	1	4	5
Total	896	45	941

Accuracy

100.0%

Counts

941 → 45

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 y (*.f64 y z)) z)
	81.2%	(fma.f64 (/.f64 (cos.f64 y) x) (.f64 z x) (.f64 x (sin.f64 y)))
	36.5%	(fma.f64 (.f64 y y) (fma.f64 (.f64 z (.f64 y #s(literal 1/24 binary64))) y (.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)
	77.5%	(fma.f64 (sin.f64 y) x 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))
	36.1%	(fma.f64 y (fma.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 z z))) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) z))) x) z)
	51.7%	(fma.f64 y (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) z)
	12.4%	(fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (/.f64 (.f64 x x) (neg.f64 z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 x x (.f64 z (neg.f64 z))))) (.f64 z z)))) x) z)
	52.2%	(fma.f64 y (fma.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))) x) z)
	36.8%	(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
	36.9%	(fma.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))) z)
✓	53.4%	(fma.f64 x y z)
	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)))
	26.4%	(/.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 y))
	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))))))
	89.7%	(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
	85.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
	36.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) z)))
	53.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
	40.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
	38.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	35.8%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
	2.9%	(.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 (.f64 y y) (*.f64 y y)))
	1.5%	(.f64 (.f64 y y) (neg.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x y) (.f64 z z)) (/.f64 (.f64 x x) z))))
	85.6%	(*.f64 z (fma.f64 (/.f64 x z) (sin.f64 y) (cos.f64 y)))
	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)))
✓	89.7%	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
✓	60.6%	(*.f64 z (cos.f64 y))
	38.6%	(*.f64 y (+.f64 x (/.f64 z y)))
	44.0%	(.f64 x (fma.f64 (/.f64 z x) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y))
	85.7%	(*.f64 x (fma.f64 (/.f64 z x) (cos.f64 y) (sin.f64 y)))
✓	85.7%	(*.f64 x (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (sin.f64 y)))
	85.7%	(.f64 x (fma.f64 z (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)) (sin.f64 y)))
	26.4%	(.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))
	30.5%	(*.f64 x (/.f64 z x))
	46.5%	(.f64 x (.f64 z (/.f64 (cos.f64 y) x)))
	3.0%	(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
	40.8%	(*.f64 x (sin.f64 y))
✓	17.4%	(*.f64 x y)
	2.9%	(neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 y y))) z))
	38.7%	z

Compiler

Compiled 2 119 to 712 computations (66.4% saved)

regimes94.0ms (1%)

Memory

23.3MiB live, 218.5MiB allocated

Counts

81 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 x y z)
(*.f64 x (/.f64 z x))
(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 y y) (.f64 z #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(fma.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))) x) z)
(.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 (.f64 y y) (*.f64 y y)))
(fma.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal 1/24 binary64))) z)
(.f64 z (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y (*.f64 y z)) z)
(neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 y y))) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z)
(fma.f64 (.f64 y y) (fma.f64 (.f64 z (.f64 y #s(literal 1/24 binary64))) y (.f64 z #s(literal -1/2 binary64))) z)
(.f64 x (fma.f64 (/.f64 z x) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y))
(fma.f64 y (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
(.f64 (.f64 y y) (neg.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x y) (.f64 z z)) (/.f64 (.f64 x x) z))))
(fma.f64 y (fma.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 z z))) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) z))) x) z)
(fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (/.f64 (.f64 x x) (neg.f64 z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 x x (.f64 z (neg.f64 z))))) (.f64 z z)))) x) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x y))
(.f64 x (.f64 z (/.f64 (cos.f64 y) x)))
(.f64 x (/.f64 (.f64 z (cos.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
(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 x (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)))
(*.f64 x (fma.f64 (/.f64 z x) (cos.f64 y) (sin.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(*.f64 z (fma.f64 (/.f64 x z) (sin.f64 y) (cos.f64 y)))
(/.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.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 (cos.f64 y) x) (.f64 z x) (.f64 x (sin.f64 y)))
(.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))
(*.f64 x (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (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 x (fma.f64 z (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) x)) (sin.f64 y)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(*.f64 x (fma.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 y))) (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 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 y) (neg.f64 z) (.f64 x (sin.f64 y)))) (*.f64 x #s(literal 1 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 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (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 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 y))) z))
(/.f64 (fma.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 x 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 (.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) (fma.f64 (.f64 x (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x (neg.f64 (.f64 (*.f64 z z) (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) (-.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 (.f64 x 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 #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 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)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
(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 (+.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 (.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:

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

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)

regimes61.0ms (0.7%)

Memory

-14.1MiB live, 122.1MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 x y z)
(*.f64 x (/.f64 z x))
(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 y y) (.f64 z #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(fma.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))) x) z)
(.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 (.f64 y y) (*.f64 y y)))
(fma.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal 1/24 binary64))) z)
(.f64 z (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y (*.f64 y z)) z)
(neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 y y))) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z)
(fma.f64 (.f64 y y) (fma.f64 (.f64 z (.f64 y #s(literal 1/24 binary64))) y (.f64 z #s(literal -1/2 binary64))) z)
(.f64 x (fma.f64 (/.f64 z x) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y))
(fma.f64 y (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
(.f64 (.f64 y y) (neg.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x y) (.f64 z z)) (/.f64 (.f64 x x) z))))
(fma.f64 y (fma.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 z z))) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) z))) x) z)
(fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (/.f64 (.f64 x x) (neg.f64 z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 x x (.f64 z (neg.f64 z))))) (.f64 z z)))) x) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(fma.f64 (sin.f64 y) x z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x y))
(.f64 x (.f64 z (/.f64 (cos.f64 y) x)))
(.f64 x (/.f64 (.f64 z (cos.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))

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

Calls

4 calls:

20.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
14.0ms	z
13.0ms	x
11.0ms	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)

regimes53.0ms (0.6%)

Memory

6.9MiB live, 119.5MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 x y z)
(*.f64 x (/.f64 z x))
(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 y y) (.f64 z #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(fma.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))) x) z)
(.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 (.f64 y y) (*.f64 y y)))
(fma.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal 1/24 binary64))) z)
(.f64 z (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y (*.f64 y z)) z)
(neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 y y))) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z)
(fma.f64 (.f64 y y) (fma.f64 (.f64 z (.f64 y #s(literal 1/24 binary64))) y (.f64 z #s(literal -1/2 binary64))) z)
(.f64 x (fma.f64 (/.f64 z x) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y))
(fma.f64 y (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
(.f64 (.f64 y y) (neg.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x y) (.f64 z z)) (/.f64 (.f64 x x) z))))
(fma.f64 y (fma.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 z z))) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) z))) x) z)
(fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (/.f64 (.f64 x x) (neg.f64 z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 x x (.f64 z (neg.f64 z))))) (.f64 z z)))) x) z)
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))

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

Calls

4 calls:

17.0ms	z
14.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
12.0ms	x
10.0ms	y

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)

regimes32.0ms (0.4%)

Memory

4.6MiB live, 81.5MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 x y z)
(*.f64 x (/.f64 z x))
(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 y y) (.f64 z #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(fma.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))) x) z)
(.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 (.f64 y y) (*.f64 y y)))
(fma.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal 1/24 binary64))) z)
(.f64 z (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y (*.f64 y z)) z)
(neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 y y))) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z)
(fma.f64 (.f64 y y) (fma.f64 (.f64 z (.f64 y #s(literal 1/24 binary64))) y (.f64 z #s(literal -1/2 binary64))) z)
(.f64 x (fma.f64 (/.f64 z x) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y))
(fma.f64 y (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
(.f64 (.f64 y y) (neg.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x y) (.f64 z z)) (/.f64 (.f64 x x) z))))
(fma.f64 y (fma.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 z z))) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) z))) x) z)
(fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (/.f64 (.f64 x x) (neg.f64 z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 x x (.f64 z (neg.f64 z))))) (.f64 z z)))) x) z)
(*.f64 x (sin.f64 y))

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

Calls

3 calls:

11.0ms	z
10.0ms	y
9.0ms	x

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes45.0ms (0.5%)

Memory

-15.9MiB live, 105.9MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 z #s(literal 1 binary64))
(fma.f64 x y z)
(*.f64 x (/.f64 z x))
(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 y y) (.f64 z #s(literal -1/2 binary64)) z)
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(.f64 x (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(fma.f64 y (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(fma.f64 y (fma.f64 y (.f64 x (.f64 y #s(literal -1/6 binary64))) x) z)
(.f64 (.f64 z #s(literal 1/24 binary64)) (.f64 (.f64 y y) (*.f64 y y)))
(fma.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal 1/24 binary64))) z)
(.f64 z (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y (*.f64 y z)) z)
(neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 y y))) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z)
(fma.f64 (.f64 y y) (fma.f64 (.f64 z (.f64 y #s(literal 1/24 binary64))) y (.f64 z #s(literal -1/2 binary64))) z)
(.f64 x (fma.f64 (/.f64 z x) (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y))
(fma.f64 y (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) z) (.f64 (fma.f64 x y z) (-.f64 (*.f64 x y) z))))
(.f64 (.f64 y y) (neg.f64 (fma.f64 (.f64 x x) (/.f64 (.f64 x y) (.f64 z z)) (/.f64 (.f64 x x) z))))
(fma.f64 y (fma.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/36 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 z z))) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) z))) x) z)
(fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (/.f64 (.f64 x x) (neg.f64 z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 x x (.f64 z (neg.f64 z))))) (.f64 z z)))) x) z)

Outputs
(fma.f64 x y z)

Calls

4 calls:

14.0ms	y
10.0ms	z
10.0ms	x
9.0ms	(+.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)

regimes8.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB 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:

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

regimes4.0ms (0%)

Memory

-30.6MiB live, 8.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

2 calls:

2.0ms	z
1.0ms	x

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch36.0ms (0.4%)

Memory

8.3MiB live, 88.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.78543684354423e-18	9.978621467386942e-15
18.0ms	-1.1767729585114989e-58	-1.0225863708991178e-65

Samples

24.0ms

272×

valid

Compiler

Compiled 304 to 218 computations (28.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sin: 7.0ms (40.5% of total)

ival-cos: 5.0ms (28.9% of total)

ival-mult: 4.0ms (23.1% of total)

ival-add: 1.0ms (5.8% of total)

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

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

bsearch36.0ms (0.4%)

Memory

17.1MiB live, 95.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.5417367327868817e-66	1.468716172221672e-64
20.0ms	-4.272444130297062e-128	-3.120052986399489e-138

Samples

24.0ms

272×

valid

Compiler

Compiled 287 to 218 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-cos: 6.0ms (36% of total)

ival-sin: 6.0ms (36% of total)

ival-mult: 4.0ms (24% of total)

ival-add: 1.0ms (6% of total)

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

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

bsearch42.0ms (0.5%)

Memory

-13.9MiB live, 76.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.2287225423087196e-7	3378.860185238779
21.0ms	-13.506227614094588	-1.5363594875748794e-36

Samples

25.0ms

336×

valid

Compiler

Compiled 456 to 308 computations (32.5% saved)

Precisions

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

ival-mult: 4.0ms (30.4% of total)

ival-sin: 4.0ms (30.4% of total)

ival-cos: 3.0ms (22.8% of total)

ival-add: 1.0ms (7.6% of total)

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

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

bsearch31.0ms (0.3%)

Memory

-9.4MiB live, 68.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.5417367327868817e-66	1.468716172221672e-64
17.0ms	-8.67679180771706e-163	-3.0723411554198225e-167

Samples

20.0ms

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 (35.5% of total)

ival-cos: 4.0ms (28.4% of total)

ival-mult: 4.0ms (28.4% of total)

ival-add: 1.0ms (7.1% of total)

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

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

simplify7.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	93
1	43	93

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 (sin.f64 y) x z) (if (<=.f64 x #s(literal 4381000474388761/162259276829213363391578010288128 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(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 y (.f64 z #s(literal -1/2 binary64)) x) z) (*.f64 x (sin.f64 y))))
(fma.f64 x y 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 (sin.f64 y) x z) (if (<=.f64 x #s(literal 4381000474388761/162259276829213363391578010288128 binary64)) (*.f64 z (cos.f64 y)) (fma.f64 (sin.f64 y) x z)))
(if (<=.f64 x #s(literal -8684406692798715/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (fma.f64 (sin.f64 y) x z) (if (<=.f64 x #s(literal 4381000474388761/162259276829213363391578010288128 binary64)) (*.f64 (cos.f64 y) z) (fma.f64 (sin.f64 y) x z)))
(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 y (.f64 z #s(literal -1/2 binary64)) x) z) (*.f64 x (sin.f64 y))))
(fma.f64 x y 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 (11.7%)

Memory

-4.0MiB live, 744.3MiB allocated

Rules

14 960×	`lower-fma.f64`
14 960×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
9 388×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	727	7522
1	2662	7225
0	8859	6886
0	23	100
0	45	95
1	178	91
2	1268	91
0	8214	90
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8391	18
0	96	626
1	316	622
2	935	612
3	2502	606
4	4404	606
5	7338	606
0	8421	556

Stop Event

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

Compiler

Compiled 230 to 130 computations (43.5% saved)

preprocess73.0ms (0.8%)

Memory: -11.5MiB live, 113.8MiB allocated
Compiler: Compiled 216 to 94 computations (56.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.1s (11.9%)

preprocess51.0ms (0.6%)

explain152.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize40.0ms (0.4%)

series8.0ms (0.1%)

rewrite488.0ms (5.4%)

simplify423.0ms (4.7%)

eval32.0ms (0.4%)

prune79.0ms (0.9%)

simplify0.0ms (0%)

localize286.0ms (3.2%)

series76.0ms (0.8%)

rewrite526.0ms (5.8%)

simplify523.0ms (5.8%)

eval230.0ms (2.5%)

prune240.0ms (2.6%)

simplify0.0ms (0%)

localize224.0ms (2.5%)

series53.0ms (0.6%)

rewrite385.0ms (4.3%)

simplify436.0ms (4.8%)

eval289.0ms (3.2%)

prune463.0ms (5.1%)

simplify0.0ms (0%)

localize174.0ms (1.9%)

series59.0ms (0.7%)

rewrite443.0ms (4.9%)

simplify428.0ms (4.7%)

eval150.0ms (1.7%)

prune132.0ms (1.5%)

regimes94.0ms (1%)

regimes61.0ms (0.7%)

regimes53.0ms (0.6%)

regimes32.0ms (0.4%)

regimes45.0ms (0.5%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

bsearch36.0ms (0.4%)

bsearch36.0ms (0.4%)

bsearch42.0ms (0.5%)

bsearch31.0ms (0.3%)

simplify7.0ms (0.1%)

soundness1.1s (11.7%)

preprocess73.0ms (0.8%)

end0.0ms (0%)

Profiling