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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 (9.5%)

Memory

43.8MiB live, 1 569.4MiB allocated

Samples

823.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 595.0ms

ival-sin: 226.0ms (38% of total)

ival-cos: 202.0ms (34% of total)

ival-mult: 123.0ms (20.7% of total)

ival-sub: 35.0ms (5.9% of total)

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

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

Bogosity

preprocess61.0ms (0.5%)

Memory

-0.1MiB live, 74.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain178.0ms (1.6%)

Memory

-21.4MiB live, 192.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

60.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-cos: 21.0ms (48.5% of total)

ival-sin: 13.0ms (30% of total)

ival-mult: 7.0ms (16.2% of total)

ival-sub: 2.0ms (4.6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify17.0ms (0.1%)

Memory

-9.3MiB live, 29.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.3%)

Memory

5.7MiB live, 79.5MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

28.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 6.0ms (38.5% of total)

ival-sin: 5.0ms (32% of total)

ival-mult: 3.0ms (19.2% of total)

ival-sub: 1.0ms (6.4% of total)

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

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

series8.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

27 calls:

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

rewrite629.0ms (5.5%)

Memory

11.3MiB live, 756.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	33	21
2	210	21
3	1964	21
0	8379	21

Stop Event

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

Counts

5 → 232

Calls

Call 1

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

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

simplify468.0ms (4.1%)

Memory

-34.2MiB live, 659.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 936×	`lower-fma.f64`
12 936×	`lower-fma.f32`
4 366×	`lower-*.f64`
4 366×	`lower-*.f32`
2 310×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	686
1	339	681
2	933	669
3	2680	663
4	4621	663
5	7358	663
0	8230	636

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

Calls

Call 1

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

eval53.0ms (0.5%)

Memory: 21.5MiB live, 99.9MiB allocated
Compiler: Compiled 15 563 to 732 computations (95.3% saved)

prune59.0ms (0.5%)

Memory

-6.1MiB live, 113.7MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	322	15	337
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	322	16	338

Accuracy

99.9%

Counts

338 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.8%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
	67.7%	(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
	44.9%	(fma.f64 (.f64 x (.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
▶	99.8%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	51.7%	(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
	52.0%	(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
	67.7%	(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
	45.3%	(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
▶	45.2%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
	17.4%	(/.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 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (/.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	53.3%	(-.f64 x (*.f64 z y))
	45.2%	(.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x 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 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
▶	61.3%	(*.f64 x (cos.f64 y))
	40.3%	(neg.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 892 to 444 computations (50.2% saved)

simplify256.0ms (2.3%)

Memory

7.6MiB live, 444.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
✓	cost-diff	6272	(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
✓	cost-diff	960	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(-.f64 x (*.f64 z y))
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(neg.f64 (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))

Rules

6 962×	`lower-fma.f32`
6 954×	`lower-fma.f64`
2 860×	`lower-*.f32`
2 844×	`lower-*.f64`
2 494×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	315
0	60	309
1	121	306
2	297	303
3	1061	298
4	3528	295
5	6782	295
0	8296	282

Stop Event

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

Calls

Call 1

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

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

localize221.0ms (1.9%)

Memory

5.3MiB live, 406.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
✓	accuracy	83.7%	(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 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	61.2%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
✓	accuracy	82.9%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (*.f64 z z)))
✓	accuracy	80.4%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	73.9%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 x (*.f64 z y))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))

Samples

79.0ms	99×	1	valid
52.0ms	128×	0	valid
24.0ms	29×	2	valid

Compiler

Compiled 325 to 36 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-cos: 37.0ms (29.9% of total)

ival-mult: 23.0ms (18.6% of total)

ival-div: 18.0ms (14.5% of total)

ival-sin: 16.0ms (12.9% of total)

ival-add: 12.0ms (9.7% of total)

adjust: 10.0ms (8.1% of total)

ival-neg: 3.0ms (2.4% of total)

ival-sub: 3.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series88.0ms (0.8%)

Memory

5.9MiB live, 80.2MiB allocated

Counts

17 → 432

Calls

Call 1

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

Outputs
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (- (* -1/2 (* x y)) z)))>
#<alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (- (* x (cos y)) (* z (sin y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* z (- (/ (* x (cos y)) z) (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* y z))>
#<alt (* y (- (* 1/6 (* (pow y 2) z)) z))>
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))>
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* -1 (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt (- x (* y z))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt (* -1 (* x (- (/ (* y z) x) 1)))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
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#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))))>
#<alt (* z (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y)))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))>
#<alt (* z (- (+ (* -1 (/ (* x (* (cos y) (- (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* (pow z 3) (sin y)))) (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (sin y))))) (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (sin y) 3))))))>
#<alt (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt (* -1 (* z (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos y) (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* z (sin y)))) (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))) (* -1 (/ (* (pow x 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))) z)) (* -1 (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 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 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 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* y z))>
#<alt (/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)>
#<alt (/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)>
#<alt (/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (* z (sin y)))>
#<alt (/ 1 (pow x 2))>
#<alt (+ (* (pow y 2) (- (/ 1 (pow x 2)) (* -1 (/ (pow z 2) (pow x 4))))) (/ 1 (pow x 2)))>
#<alt (+ (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/3 (/ (pow z 2) (pow x 4))) (/ (* (+ (* -1 (pow x 2)) (* -1 (pow z 2))) (- (/ 1 (pow x 2)) (* -1 (/ (pow z 2) (pow x 4))))) (pow x 2)))))) (/ 1 (pow x 2))) (* -1 (/ (pow z 2) (pow x 4))))) (/ 1 (pow x 2)))>
#<alt (+ (* (pow y 2) (- (+ (* (pow y 2) (- (* (pow y 2) (- (* 2/45 (/ 1 (pow x 2))) (+ (* -1 (/ (* (+ (* -1 (pow x 2)) (* -1 (pow z 2))) (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/3 (/ (pow z 2) (pow x 4))) (/ (* (+ (* -1 (pow x 2)) (* -1 (pow z 2))) (- (/ 1 (pow x 2)) (* -1 (/ (pow z 2) (pow x 4))))) (pow x 2))))) (pow x 2))) (+ (* -2/45 (/ (pow z 2) (pow x 4))) (/ (* (+ (* 1/3 (pow x 2)) (* 1/3 (pow z 2))) (- (/ 1 (pow x 2)) (* -1 (/ (pow z 2) (pow x 4))))) (pow x 2)))))) (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 1/3 (/ (pow z 2) (pow x 4))) (/ (* (+ (* -1 (pow x 2)) (* -1 (pow z 2))) (- (/ 1 (pow x 2)) (* -1 (/ (pow z 2) (pow x 4))))) (pow x 2)))))) (/ 1 (pow x 2))) (* -1 (/ (pow z 2) (pow x 4))))) (/ 1 (pow x 2)))>
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))>
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))>
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))))>
#<alt (/ 1 (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -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)))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))>
#<alt (+ (* (pow z 2) (- (/ (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 8) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4))) (* -1 (/ (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 2))>
#<alt (/ (- (* -1 (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow z 2))>
#<alt (/ (- (* -1 (/ (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow z 2))>
#<alt (/ -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (/ (- (* -1 (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ 1 (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow z 2))>
#<alt (/ (- (* -1 (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow z 2))>
#<alt (/ (- (* -1 (/ (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (/ 1 (- 1/2 (* 1/2 (cos (* 2 y))))) (+ (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow z 2))>
#<alt (/ -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* -1 (* (pow x 2) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (/ (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow x 2))>
#<alt (/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow x 2))>
#<alt (/ 1 (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (/ (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow x 2))>
#<alt (/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow x 2))>

Calls

108 calls:

Time	Variable		Point	Expression
23.0ms	z	@	0	(/ (/ 1 (+ (* x (cos y)) (* z (sin y)))) (/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))))
20.0ms	x	@	inf	(- x (* z y))
3.0ms	y	@	0	(* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z)))
1.0ms	y	@	-inf	(+ (* (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (/ 1 (+ 0 (* z (sin y))))) (* x (cos y)))
1.0ms	x	@	0	(/ 1 (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))))

rewrite531.0ms (4.7%)

Memory

12.0MiB live, 843.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 184×	`lower-fma.f32`
7 176×	`lower-fma.f64`
4 050×	`lower-*.f32`
4 034×	`lower-*.f64`
3 346×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	193
0	60	145
1	254	107
2	2119	97
0	9995	97

Stop Event

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

Counts

17 → 1 507

Calls

Call 1

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

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

simplify646.0ms (5.7%)

Memory

-13.0MiB live, 676.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 022×	`lower-fma.f64`
9 022×	`lower-fma.f32`
8 076×	`lower-*.f64`
8 076×	`lower-*.f32`
2 996×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	668	7522
1	2252	7320
0	8406	7032

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 423

Calls

Call 1

Inputs
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* y z))
(- x (* y z))
(- x (* y z))
(- x (* y z))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
(* x (+ 1 (* -1 (/ (* y z) x))))
x
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
(* -1 (* x (- (/ (* y z) x) 1)))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* z (- (/ x z) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 y))))
x
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(+ x (* -1 (* y z)))
(* -1 (* y z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* y (- (/ x y) z))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 z))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
(* x (cos y))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1 (* y (- (* -1/3 z) (* -1/6 z)))) (* -1/2 x))))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (sin y))) (* x (cos y)))
(* x (cos y))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* z (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (/ (* x (cos y)) z)))
(* -1 (* z (- (* 1/2 (/ 1 (sin y))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (* z (- (+ (* -1 (/ (* x (cos y)) z)) (* 1/2 (/ 1 (sin y)))) (* 1/2 (/ (cos (* 2 y)) (sin y))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(* x (+ (cos y) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(* x (+ (cos y) (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (sin y))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2)))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2))))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow z 2)) (* 1/315 (* (pow y 2) (pow z 2)))))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(- 1/2 (* 1/2 (cos (neg (* -2 y)))))
(pow x 2)
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (* -1 (pow z 2)))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (* 1/3 (pow z 2))))))) (pow x 2))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* 1/3 (pow x 2)) (+ (* 1/3 (pow z 2)) (* (pow y 2) (+ (* -2/45 (pow x 2)) (* -2/45 (pow z 2)))))))))) (pow x 2))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* (pow z 2) (+ (* -1 (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))))
(* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) (* 1/2 (cos (* 2 y))))))
(* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* x (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))))
(+ (* -1 (/ (* z (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* x (- (* x (- (+ (* -1 (/ (* x (* (cos y) (- (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (sin y) 3)))))) (* z (sin y)))) (+ (* 1/2 (/ 1 (* z (sin y)))) (* 1/2 (/ (cos (* 2 y)) (* z (sin y)))))) (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* z (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))))) (cos y))
(* x (+ (* -1 (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* x (- (+ (* -1 (/ (* z (* (sin y) (- (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(/ (* x (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (cos y) 2))))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
(* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (sin y) (- (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* x (cos y)))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow z 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) x)) (/ (* z (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2))) x)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* y (- (* -1 x) (* -1/2 x))) z)))
(+ x (* y (- (* y (- (+ (* -1 x) (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (* -1/2 x))) x)))))) (* -1/2 x))) z)))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
(/ (+ (* -1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* x (cos y)) (* z (sin y))))
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(fma.f64 (.f64 x x) (-.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 z z))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))) (/.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 z z))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (+ 1/2 (* 1/2 (cos (* 2 y)))) (+ (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (+ (* 1/2 (/ 1 (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* 1/2 (/ (cos (* 2 y)) (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))))) (/ 1 (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y)))))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 z z))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))))) (/.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 z z))))
(/ 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 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (/.f64 (.f64 z z) (.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.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))
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (/.f64 (.f64 z z) (.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.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))
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow x 2))
(/.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (/.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 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 z z)) (.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (*.f64 x x))
(/ 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 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 2))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (/.f64 (.f64 z z) (.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.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))
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))) (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (pow x 2))
(/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (/.f64 (.f64 z z) (.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.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))
(/ (- (+ (/ 1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (/ (* (pow z 6) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 3)) (* (pow x 6) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 4)))) (+ (* -1 (/ (* (pow z 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (* -1 (/ (* (pow z 4) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)) (* (pow x 4) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 3)))))) (pow x 2))
(/.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (/.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 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 z z)) (.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (*.f64 x x))

eval599.0ms (5.3%)

Memory: 9.9MiB live, 623.5MiB allocated
Compiler: Compiled 95 222 to 5 115 computations (94.6% saved)

prune344.0ms (3%)

Memory

-10.4MiB live, 676.8MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	2 277	25	2 302
Fresh	7	3	10
Picked	3	2	5
Done	0	1	1
Total	2 287	31	2 318

Accuracy

100.0%

Counts

2 318 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.6%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (sin.f64 y)) z)) (.f64 x (cos.f64 y)))
	53.3%	(fma.f64 (neg.f64 z) y x)
▶	99.7%	(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
✓	99.8%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	51.7%	(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
	51.7%	(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x)
▶	52.0%	(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
	37.8%	(fma.f64 y (.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y))))) x)
	37.8%	(fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y)) x)
	45.3%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
	34.0%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 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)))))
▶	33.8%	(/.f64 (*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (fma.f64 y z x))
	22.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)) (fma.f64 y (neg.f64 z) x))))
	33.7%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x))))
	60.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	90.7%	(.f64 (fma.f64 z (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))) (neg.f64 x))
	45.3%	(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
	41.8%	(.f64 (fma.f64 x (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))) (neg.f64 z))
▶	61.1%	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
	22.1%	(.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
	33.7%	(.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
	46.6%	(*.f64 z (-.f64 (/.f64 x z) y))
	40.3%	(*.f64 y (-.f64 (/.f64 x y) z))
	16.7%	(*.f64 y (neg.f64 z))
	73.9%	(.f64 x (fma.f64 (neg.f64 z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 x (sin.f64 y))) (cos.f64 y)))
	37.8%	(.f64 x (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓	61.3%	(*.f64 x (cos.f64 y))
▶	39.9%	(*.f64 x #s(literal 1 binary64))
	26.0%	(neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 z (sin.f64 y))))
	40.3%	(neg.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 1 115 to 667 computations (40.2% saved)

simplify325.0ms (2.9%)

Memory

27.1MiB live, 579.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal -2 binary64))
✓	cost-diff	0	(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
✓	cost-diff	0	(fma.f64 y (neg.f64 z) x)
✓	cost-diff	0	(fma.f64 y z x)
✓	cost-diff	0	(*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x))
✓	cost-diff	1792	(/.f64 (*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (fma.f64 y z x))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
✓	cost-diff	320	(*.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
✓	cost-diff	1280	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))

Rules

11 610×	`lower-fma.f32`
11 598×	`lower-fma.f64`
3 114×	`lower-*.f32`
3 102×	`lower-*.f64`
1 870×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	145
0	54	149
1	99	147
2	224	131
3	600	127
4	1478	127
5	3067	127
6	6935	127
0	8091	127

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (0.9%)

Memory

8.5MiB live, 243.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(/.f64 x (cos.f64 y))
✓	accuracy	99.7%	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
✓	accuracy	99.2%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(fma.f64 y z x)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	99.8%	(*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x))
✓	accuracy	54.1%	(/.f64 (*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (fma.f64 y z x))
✓	accuracy	100.0%	(fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
✓	accuracy	100.0%	(*.f64 x #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
✓	accuracy	98.9%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))))

Samples

73.0ms

256×

valid

Compiler

Compiled 160 to 36 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 19.0ms (37.3% of total)

ival-cos: 12.0ms (23.6% of total)

ival-add: 7.0ms (13.8% of total)

ival-div: 6.0ms (11.8% of total)

ival-sin: 5.0ms (9.8% of total)

exact: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

series43.0ms (0.4%)

Memory

-48.8MiB live, 71.4MiB allocated

Counts

19 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
12.0ms	y	@	inf	(* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y)))
6.0ms	y	@	inf	(+ (* y (+ (* y (* x -1/2)) (neg z))) x)
3.0ms	y	@	inf	(/ -1 (/ 1 (* z (sin y))))
2.0ms	x	@	0	(* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y)))
1.0ms	y	@	-inf	(* (+ (* 1/2 (cos (* y -2))) 1/2) (/ x (cos y)))

rewrite399.0ms (3.5%)

Memory

14.8MiB live, 801.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 760×	`lower-fma.f32`
7 748×	`lower-fma.f64`
4 260×	`lower-*.f32`
4 248×	`lower-*.f64`
4 096×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	121
0	54	125
1	198	103
2	1544	103
0	8519	103

Stop Event

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

Counts

19 → 843

Calls

Call 1

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

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

simplify425.0ms (3.7%)

Memory

17.8MiB live, 846.9MiB allocated

Algorithm

1×	egg-herbie

Rules

15 772×	`lower-fma.f64`
15 772×	`lower-fma.f32`
6 084×	`lower-*.f64`
6 084×	`lower-*.f32`
4 116×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	407	3689
1	1326	3399
2	4284	3371
0	8171	3229

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 428

Calls

Call 1

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

Outputs
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 z #s(literal 1/6 binary64))) (neg.f64 z)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x)
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(* x (cos y))
(*.f64 x (cos.f64 y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 z (-.f64 (/.f64 (.f64 x (cos.f64 y)) z) (sin.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z)) y)
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (/.f64 #s(literal 7/360 binary64) z)) (/.f64 #s(literal 1/6 binary64) z)) (/.f64 #s(literal 1 binary64) z)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 31/15120 binary64) (/.f64 #s(literal 7/360 binary64) z))) (/.f64 #s(literal 1/6 binary64) z)) (/.f64 #s(literal 1 binary64) z)) y)
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(/ 1 (* z (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
x
x
x
x
x
x
x
x
x
x
x
x
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x)
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x)
(* -1/2 (* x (pow y 2)))
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* (pow y 2) (+ (* -1 (/ z y)) (* -1/2 x)))
(.f64 y (neg.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 z y)))))
(* (pow y 2) (- (+ (* -1/2 x) (/ x (pow y 2))) (/ z y)))
(.f64 (.f64 y y) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 x (*.f64 y y))) (/.f64 z y)))
(* (pow y 2) (- (+ (* -1/2 x) (/ x (pow y 2))) (/ z y)))
(.f64 (.f64 y y) (-.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 x (*.f64 y y))) (/.f64 z y)))
(* -1/2 (* x (pow y 2)))
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(* (pow y 2) (+ (* -1 (/ z y)) (* -1/2 x)))
(.f64 y (neg.f64 (.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 z y)))))
(* (pow y 2) (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)))
(* (pow y 2) (+ (* -1 (/ (+ z (* -1 (/ x y))) y)) (* -1/2 x)))
(.f64 (.f64 y y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 z (/.f64 x y)) y)))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x)
(+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x)
(+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 y (-.f64 (.f64 y (.f64 x #s(literal -1/2 binary64))) z) x)
(* x (+ 1 (* -1/2 (pow y 2))))
(fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)
(* x (+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))))
(fma.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x)
(* x (+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2)))))
(fma.f64 x (fma.f64 y (/.f64 z (neg.f64 x)) (.f64 (.f64 y y) #s(literal -1/2 binary64))) x)
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(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (* z (+ y (* -1 (/ x z)))))
(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (* z (+ y (* -1 (/ x z)))))
(*.f64 z (-.f64 (/.f64 x z) y))
(* -1 (* y z))
(*.f64 z (neg.f64 y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
x
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (*.f64 y x) (/.f64 z (neg.f64 x)) x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (*.f64 y x) (/.f64 z (neg.f64 x)) x)
(* x (+ 1 (* -1 (/ (* y z) x))))
(fma.f64 (*.f64 y x) (/.f64 z (neg.f64 x)) x)
x
(* -1 (* x (- (/ (* y z) x) 1)))
(fma.f64 (*.f64 y x) (/.f64 z (neg.f64 x)) x)
(* -1 (* x (- (/ (* y z) x) 1)))
(fma.f64 (*.f64 y x) (/.f64 z (neg.f64 x)) x)
(* -1 (* x (- (/ (* y z) x) 1)))
(fma.f64 (*.f64 y x) (/.f64 z (neg.f64 x)) x)
x
(+ x (* (pow y 2) (- (* -1 x) (* -1/2 x))))
(fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/24 binary64)))) (.f64 x #s(literal -1/2 binary64)))) x)
(+ x (* (pow y 2) (- (+ (* -1 x) (* (pow y 2) (- (+ (* 1/3 x) (* (pow y 2) (- (* -2/45 x) (+ (* -1/2 (- (* 1/3 x) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* -1 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* -1 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 x #s(literal -2/45 binary64)) (fma.f64 x #s(literal -1/720 binary64) (fma.f64 x #s(literal -1/48 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) (.f64 x #s(literal 1/48 binary64)))))) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/24 binary64))))) (.f64 x #s(literal -1/2 binary64)))) x)
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/ (* x (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -2/45 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* -2 y)
(*.f64 y #s(literal -2 binary64))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(.f64 y (fma.f64 z (.f64 (*.f64 y y) #s(literal -1/6 binary64)) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 z #s(literal -1/6 binary64) (.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(/ 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 (.f64 y y) (.f64 x #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 (fma.f64 (.f64 y (.f64 y x)) #s(literal 5/24 binary64) (.f64 x #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 (.f64 y y) (fma.f64 (.f64 y (neg.f64 y)) (fma.f64 x #s(literal 7/360 binary64) (.f64 x #s(literal -5/48 binary64))) (.f64 x #s(literal 5/24 binary64))) (.f64 x #s(literal 1/2 binary64))) x)
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))
(/ x (cos y))
(/.f64 x (cos.f64 y))

eval228.0ms (2%)

Memory: 1.4MiB live, 386.7MiB allocated
Compiler: Compiled 35 870 to 2 811 computations (92.2% saved)

prune315.0ms (2.8%)

Memory

0.4MiB live, 315.2MiB allocated

Pruning

47 alts after pruning (43 fresh and 4 done)

	Pruned	Kept	Total
New	1 373	29	1 402
Fresh	9	14	23
Picked	4	1	5
Done	0	3	3
Total	1 386	47	1 433

Accuracy

100.0%

Counts

1 433 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.1%	(fma.f64 (/.f64 (.f64 (.f64 z y) z) #s(literal -1 binary64)) (/.f64 y (fma.f64 z y x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z y x)))))
	21.5%	(fma.f64 (/.f64 (.f64 z z) #s(literal -1 binary64)) (/.f64 (.f64 y y) (fma.f64 z y x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z y x)))))
	61.1%	(fma.f64 (/.f64 x (cos.f64 y)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 x (cos.f64 y)) #s(literal 1/2 binary64)))
	23.6%	(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (sin.f64 y)) z)) (.f64 x (cos.f64 y)))
	42.0%	(fma.f64 (*.f64 y x) (/.f64 z (neg.f64 x)) x)
	53.3%	(fma.f64 (neg.f64 z) y x)
▶	99.6%	(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
✓	99.8%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	21.5%	(fma.f64 y (fma.f64 (neg.f64 (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x)
	38.3%	(fma.f64 y (fma.f64 (neg.f64 (.f64 z z)) (/.f64 #s(literal 1 binary64) z) (.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)
	51.7%	(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
	51.7%	(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x)
	25.7%	(fma.f64 y (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 z z)) (fma.f64 x (.f64 #s(literal -1/2 binary64) y) z)) x)
	37.8%	(fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/24 binary64)))) (.f64 x #s(literal -1/2 binary64)))) x)
	37.8%	(fma.f64 y (.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y))))) x)
	77.8%	(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
	37.8%	(fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y)) x)
	8.5%	(/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (fma.f64 z (.f64 y (.f64 z y)) (*.f64 x (fma.f64 z y x))))
	24.7%	(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (cos.f64 y) x)))
	33.7%	(/.f64 (/.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))) (fma.f64 y z x))
	61.1%	(/.f64 (/.f64 x (cos.f64 y)) (/.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))))
	45.3%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
▶	31.8%	(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (.f64 z (+.f64 y (/.f64 x z))))
	14.0%	(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (.f64 z y))
	33.7%	(/.f64 (.f64 (fma.f64 y z x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (.f64 (fma.f64 z y x) (-.f64 x (.f64 z y))))) (fma.f64 y z x))
	14.1%	(/.f64 (.f64 (.f64 z y) (fma.f64 y (neg.f64 z) x)) (fma.f64 y z x))
	61.1%	(/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
	22.2%	(/.f64 (*.f64 x x) (fma.f64 y z x))
	8.9%	(/.f64 (neg.f64 (.f64 (.f64 y y) (fma.f64 z z (/.f64 (*.f64 x (/.f64 x (neg.f64 y))) y)))) (fma.f64 y z x))
	8.1%	(/.f64 (neg.f64 (.f64 z (.f64 z (*.f64 y y)))) (fma.f64 y z x))
	60.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
▶	53.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	41.8%	(.f64 (fma.f64 x (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))) (neg.f64 z))
✓	61.1%	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
	32.2%	(.f64 (/.f64 (fma.f64 z y x) (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x))) (/.f64 (-.f64 x (.f64 z y)) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 z y)))))
	33.7%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))
	24.6%	(.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) x) (/.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)) (cos.f64 y))))
	46.6%	(*.f64 z (-.f64 (/.f64 x z) y))
	16.7%	(*.f64 z (neg.f64 y))
	40.3%	(*.f64 y (-.f64 (/.f64 x y) z))
	2.9%	(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
	37.8%	(.f64 x (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
✓	61.3%	(*.f64 x (cos.f64 y))
	26.0%	(neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 z (sin.f64 y))))
▶	40.3%	(neg.f64 (*.f64 z (sin.f64 y)))
▶	39.9%	x

Compiler

Compiled 1 720 to 1 034 computations (39.9% saved)

simplify553.0ms (4.9%)

Memory

-14.2MiB live, 377.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(neg.f64 (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(fma.f64 y z x)
✓	cost-diff	0	(*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x))
✓	cost-diff	832	(*.f64 z (+.f64 y (/.f64 x z)))
✓	cost-diff	1792	(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (.f64 z (+.f64 y (/.f64 x z))))
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(-.f64 x (*.f64 z y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)
✓	cost-diff	1280	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))

Rules

11 178×	`lower-fma.f32`
11 172×	`lower-fma.f64`
3 656×	`lower-*.f32`
3 648×	`lower-*.f64`
1 554×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	138
0	48	121
1	98	112
2	213	112
3	617	112
4	1789	112
5	4974	112
0	8182	112

Stop Event

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

Calls

Call 1

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

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

localize137.0ms (1.2%)

Memory

-15.0MiB live, 140.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (*.f64 z (sin.f64 y)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	99.8%	(*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x))
✓	accuracy	86.0%	(*.f64 z (+.f64 y (/.f64 x z)))
✓	accuracy	54.1%	(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (.f64 z (+.f64 y (/.f64 x z))))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 x (*.f64 z y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sin.f64 y))
✓	accuracy	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)
✓	accuracy	98.9%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z))

Samples

106.0ms

256×

valid

Compiler

Compiled 147 to 30 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 19.0ms (36.9% of total)

ival-div: 11.0ms (21.4% of total)

ival-cos: 8.0ms (15.5% of total)

ival-sin: 5.0ms (9.7% of total)

ival-add: 4.0ms (7.8% of total)

ival-neg: 2.0ms (3.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory

-9.8MiB live, 27.4MiB allocated

Counts

17 → 456

Calls

Call 1

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

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

Calls

114 calls:

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

rewrite349.0ms (3.1%)

Memory

34.7MiB live, 584.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 312×	`lower-/.f32`
5 298×	`lower-/.f64`
4 756×	`lower-fma.f32`
4 750×	`lower-fma.f64`
4 268×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	108
0	48	107
1	205	96
2	1593	96
0	8369	94

Stop Event

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

Counts

17 → 1 174

Calls

Call 1

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

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

simplify369.0ms (3.3%)

Memory

-4.6MiB live, 558.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 596×	`lower-fma.f64`
7 596×	`lower-fma.f32`
4 848×	`lower-*.f64`
4 848×	`lower-*.f32`
1 916×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	553	3749
1	1821	3465
2	5857	3392
0	8365	3275

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 434

Calls

Call 1

Inputs
(* -1 (* y z))
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z)))))
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z))))))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(/ 1 (* y z))
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
(/ 1 (* z (sin y)))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
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Outputs
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(.f64 y (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
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(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)

eval270.0ms (2.4%)

Memory: 1.5MiB live, 538.3MiB allocated
Compiler: Compiled 43 834 to 3 576 computations (91.8% saved)

prune317.0ms (2.8%)

Memory

-11.6MiB live, 617.0MiB allocated

Pruning

57 alts after pruning (51 fresh and 6 done)

	Pruned	Kept	Total
New	1 612	21	1 633
Fresh	8	30	38
Picked	3	2	5
Done	0	4	4
Total	1 623	57	1 680

Accuracy

100.0%

Counts

1 680 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.5%	(fma.f64 (/.f64 (.f64 z z) #s(literal -1 binary64)) (/.f64 (.f64 y y) (fma.f64 z y x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z y x)))))
	61.1%	(fma.f64 (/.f64 x (cos.f64 y)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 x (cos.f64 y)) #s(literal 1/2 binary64)))
	43.5%	(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64)))
	42.0%	(fma.f64 (*.f64 y x) (/.f64 z (neg.f64 x)) x)
	53.3%	(fma.f64 (neg.f64 z) y x)
✓	99.8%	(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
	21.5%	(fma.f64 y (fma.f64 (neg.f64 (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x)
	38.3%	(fma.f64 y (fma.f64 (neg.f64 (.f64 z z)) (/.f64 #s(literal 1 binary64) z) (.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)
	25.7%	(fma.f64 y (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 z z)) (fma.f64 x (.f64 #s(literal -1/2 binary64) y) z)) x)
	37.8%	(fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/24 binary64)))) (.f64 x #s(literal -1/2 binary64)))) x)
	37.8%	(fma.f64 y (.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y))))) x)
	37.8%	(fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y)) x)
	8.5%	(/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (fma.f64 z (.f64 y (.f64 z y)) (*.f64 x (fma.f64 z y x))))
	24.7%	(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (cos.f64 y) x)))
	31.7%	(/.f64 (/.f64 (fma.f64 y (neg.f64 z) x) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (*.f64 z (+.f64 y (/.f64 x z))))
	45.8%	(/.f64 (/.f64 (fma.f64 y (neg.f64 z) x) (+.f64 y (/.f64 x z))) (/.f64 z (fma.f64 y z x)))
	61.1%	(/.f64 (/.f64 x (cos.f64 y)) (/.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))))
	45.3%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
	30.8%	(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (fma.f64 (.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z)))
	33.7%	(/.f64 (.f64 (fma.f64 y z x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (.f64 (fma.f64 z y x) (-.f64 x (.f64 z y))))) (fma.f64 y z x))
	10.7%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (fma.f64 y (neg.f64 z) x)) (fma.f64 y (neg.f64 z) x)) (.f64 (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (fma.f64 y (neg.f64 z) x))) (fma.f64 y z (*.f64 x #s(literal 1 binary64)))))
	14.1%	(/.f64 (.f64 (.f64 z y) (fma.f64 y (neg.f64 z) x)) (fma.f64 y z x))
	14.1%	(/.f64 (.f64 (.f64 y z) (fma.f64 y (neg.f64 z) x)) (*.f64 z (+.f64 y (/.f64 x z))))
	61.1%	(/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
	22.2%	(/.f64 (*.f64 x x) (fma.f64 y z x))
	20.2%	(/.f64 (.f64 x x) (.f64 z (+.f64 y (/.f64 x z))))
	8.9%	(/.f64 (neg.f64 (.f64 (.f64 y y) (fma.f64 z z (/.f64 (*.f64 x (/.f64 x (neg.f64 y))) y)))) (fma.f64 y z x))
	8.1%	(/.f64 (neg.f64 (.f64 z (.f64 z (*.f64 y y)))) (fma.f64 y z x))
	40.3%	(/.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) z))
	40.2%	(/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y)))
	39.0%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
	40.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (sin.f64 y))))
	9.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (.f64 z (.f64 y (.f64 y (.f64 y z))))) (/.f64 x (.f64 y (.f64 y z))))) z))
	60.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
	39.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	40.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	41.8%	(.f64 (fma.f64 x (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))) (neg.f64 z))
✓	61.1%	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
	32.2%	(.f64 (/.f64 (fma.f64 z y x) (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x))) (/.f64 (-.f64 x (.f64 z y)) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 z y)))))
	28.5%	(.f64 (/.f64 (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (fma.f64 y z x))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
	14.9%	(.f64 (/.f64 (.f64 (fma.f64 y (neg.f64 z) x) (/.f64 (fma.f64 y z x) z)) (-.f64 (.f64 y y) (/.f64 (.f64 x x) (*.f64 z z)))) (-.f64 y (/.f64 x z)))
	22.5%	(*.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))))
	33.7%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))
	32.7%	(.f64 (.f64 (fma.f64 y z x) (/.f64 (fma.f64 y (neg.f64 z) x) (+.f64 y (/.f64 x z)))) (/.f64 #s(literal 1 binary64) z))
	24.6%	(.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) x) (/.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)) (cos.f64 y))))
	46.6%	(*.f64 z (-.f64 (/.f64 x z) y))
	16.7%	(*.f64 z (neg.f64 y))
	16.5%	(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) (neg.f64 z)))
	40.3%	(*.f64 y (-.f64 (/.f64 x y) z))
	16.1%	(.f64 y (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
	2.9%	(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
✓	61.3%	(*.f64 x (cos.f64 y))
	26.0%	(neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 z (sin.f64 y))))
	16.2%	(neg.f64 (.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
✓	40.3%	(neg.f64 (*.f64 z (sin.f64 y)))
✓	39.9%	x

Compiler

Compiled 2 757 to 987 computations (64.2% saved)

regimes111.0ms (1%)

Memory

26.4MiB live, 217.2MiB allocated

Counts

91 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 (neg.f64 z) y x)
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y)) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(.f64 y (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) (fma.f64 y z x))
(neg.f64 (.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (*.f64 y x) (/.f64 z (neg.f64 x)) x)
(.f64 x (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y))))) x)
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) (neg.f64 z)))
(/.f64 (neg.f64 (.f64 z (.f64 z (*.f64 y y)))) (fma.f64 y z x))
(/.f64 (.f64 x x) (.f64 z (+.f64 y (/.f64 x z))))
(/.f64 (.f64 (.f64 z y) (fma.f64 y (neg.f64 z) x)) (fma.f64 y z x))
(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (.f64 z y))
(/.f64 (*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (fma.f64 y z x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 (neg.f64 (.f64 z z)) (/.f64 #s(literal 1 binary64) z) (.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)
(.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/24 binary64)))) (.f64 x #s(literal -1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x))))
(/.f64 (.f64 (.f64 y z) (fma.f64 y (neg.f64 z) x)) (*.f64 z (+.f64 y (/.f64 x z))))
(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (.f64 z (+.f64 y (/.f64 x z))))
(fma.f64 y (fma.f64 (neg.f64 (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))) (fma.f64 y z x))
(fma.f64 y (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 z z)) (fma.f64 x (.f64 #s(literal -1/2 binary64) y) z)) x)
(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (fma.f64 (.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(.f64 (.f64 (fma.f64 y z x) (/.f64 (fma.f64 y (neg.f64 z) x) (+.f64 y (/.f64 x z)))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (fma.f64 y (neg.f64 z) x) (+.f64 y (/.f64 x z))) (/.f64 z (fma.f64 y z x)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (fma.f64 z z (/.f64 (*.f64 x (/.f64 x (neg.f64 y))) y)))) (fma.f64 y z x))
(/.f64 (/.f64 (fma.f64 y (neg.f64 z) x) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (*.f64 z (+.f64 y (/.f64 x z))))
(/.f64 (.f64 (fma.f64 y z x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (.f64 (fma.f64 z y x) (-.f64 x (.f64 z y))))) (fma.f64 y z x))
(fma.f64 (/.f64 (.f64 z z) #s(literal -1 binary64)) (/.f64 (.f64 y y) (fma.f64 z y x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z y x)))))
(fma.f64 (/.f64 (.f64 (.f64 z y) z) #s(literal -1 binary64)) (/.f64 y (fma.f64 z y x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z y x)))))
(.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
(/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (fma.f64 z (.f64 y (.f64 z y)) (*.f64 x (fma.f64 z y x))))
(.f64 (/.f64 (fma.f64 z y x) (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x))) (/.f64 (-.f64 x (.f64 z y)) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)) (fma.f64 y (neg.f64 z) x))))
(.f64 (/.f64 (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (fma.f64 y z x))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
(.f64 (/.f64 (.f64 (fma.f64 y (neg.f64 z) x) (/.f64 (fma.f64 y z x) z)) (-.f64 (.f64 y y) (/.f64 (.f64 x x) (*.f64 z z)))) (-.f64 y (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (.f64 z (.f64 y (.f64 y (.f64 y z))))) (/.f64 x (.f64 y (.f64 y z))))) z))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (fma.f64 y (neg.f64 z) x)) (fma.f64 y (neg.f64 z) x)) (.f64 (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (fma.f64 y (neg.f64 z) x))) (fma.f64 y z (*.f64 x #s(literal 1 binary64)))))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (sin.f64 y))))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (neg.f64 (*.f64 z (sin.f64 y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
(neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) z)))
(/.f64 (/.f64 x (cos.f64 y)) (/.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 (fma.f64 (neg.f64 z) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (.f64 x (sin.f64 y))) (cos.f64 y)))
(fma.f64 (/.f64 x (cos.f64 y)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 x (cos.f64 y)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) x) (/.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)) (cos.f64 y))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (/.f64 (cos.f64 y) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 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)))))
(*.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))))
(.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.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) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 z z)) (sin.f64 y)) z)) (.f64 x (cos.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z z)) (.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(.f64 (fma.f64 z (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) (.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))) (neg.f64 x))
(.f64 (fma.f64 x (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))))) (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y))) (neg.f64 z))
(fma.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(fma.f64 (.f64 x (.f64 x (cos.f64 y))) (/.f64 (cos.f64 y) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y)))) (.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (/.f64 (fma.f64 x (cos.f64 y) (.f64 z (sin.f64 y))) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))

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

Calls

4 calls:

30.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
25.0ms	z
25.0ms	x
25.0ms	y

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes116.0ms (1%)

Memory

-36.8MiB live, 125.2MiB allocated

Counts

63 → 3

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 (neg.f64 z) y x)
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y)) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(.f64 y (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) (fma.f64 y z x))
(neg.f64 (.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (*.f64 y x) (/.f64 z (neg.f64 x)) x)
(.f64 x (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y))))) x)
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) (neg.f64 z)))
(/.f64 (neg.f64 (.f64 z (.f64 z (*.f64 y y)))) (fma.f64 y z x))
(/.f64 (.f64 x x) (.f64 z (+.f64 y (/.f64 x z))))
(/.f64 (.f64 (.f64 z y) (fma.f64 y (neg.f64 z) x)) (fma.f64 y z x))
(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (.f64 z y))
(/.f64 (*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (fma.f64 y z x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 (neg.f64 (.f64 z z)) (/.f64 #s(literal 1 binary64) z) (.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)
(.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/24 binary64)))) (.f64 x #s(literal -1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x))))
(/.f64 (.f64 (.f64 y z) (fma.f64 y (neg.f64 z) x)) (*.f64 z (+.f64 y (/.f64 x z))))
(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (.f64 z (+.f64 y (/.f64 x z))))
(fma.f64 y (fma.f64 (neg.f64 (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))) (fma.f64 y z x))
(fma.f64 y (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 z z)) (fma.f64 x (.f64 #s(literal -1/2 binary64) y) z)) x)
(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (fma.f64 (.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(.f64 (.f64 (fma.f64 y z x) (/.f64 (fma.f64 y (neg.f64 z) x) (+.f64 y (/.f64 x z)))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (fma.f64 y (neg.f64 z) x) (+.f64 y (/.f64 x z))) (/.f64 z (fma.f64 y z x)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (fma.f64 z z (/.f64 (*.f64 x (/.f64 x (neg.f64 y))) y)))) (fma.f64 y z x))
(/.f64 (/.f64 (fma.f64 y (neg.f64 z) x) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (*.f64 z (+.f64 y (/.f64 x z))))
(/.f64 (.f64 (fma.f64 y z x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (.f64 (fma.f64 z y x) (-.f64 x (.f64 z y))))) (fma.f64 y z x))
(fma.f64 (/.f64 (.f64 z z) #s(literal -1 binary64)) (/.f64 (.f64 y y) (fma.f64 z y x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z y x)))))
(fma.f64 (/.f64 (.f64 (.f64 z y) z) #s(literal -1 binary64)) (/.f64 y (fma.f64 z y x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z y x)))))
(.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
(/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (fma.f64 z (.f64 y (.f64 z y)) (*.f64 x (fma.f64 z y x))))
(.f64 (/.f64 (fma.f64 z y x) (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x))) (/.f64 (-.f64 x (.f64 z y)) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)) (fma.f64 y (neg.f64 z) x))))
(.f64 (/.f64 (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (fma.f64 y z x))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
(.f64 (/.f64 (.f64 (fma.f64 y (neg.f64 z) x) (/.f64 (fma.f64 y z x) z)) (-.f64 (.f64 y y) (/.f64 (.f64 x x) (*.f64 z z)))) (-.f64 y (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (.f64 z (.f64 y (.f64 y (.f64 y z))))) (/.f64 x (.f64 y (.f64 y z))))) z))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (fma.f64 y (neg.f64 z) x)) (fma.f64 y (neg.f64 z) x)) (.f64 (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (fma.f64 y (neg.f64 z) x))) (fma.f64 y z (*.f64 x #s(literal 1 binary64)))))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (sin.f64 y))))

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

Calls

4 calls:

53.0ms	y
19.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
18.0ms	z
17.0ms	x

Results

Accuracy	Segments	Branch
91.7%	3	`x`
80.9%	3	`y`
90.6%	3	`z`
80.1%	2	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes38.0ms (0.3%)

Memory

14.6MiB live, 57.1MiB allocated

Counts

61 → 3

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 (neg.f64 z) y x)
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y)) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(.f64 y (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) (fma.f64 y z x))
(neg.f64 (.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (*.f64 y x) (/.f64 z (neg.f64 x)) x)
(.f64 x (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y))))) x)
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) (neg.f64 z)))
(/.f64 (neg.f64 (.f64 z (.f64 z (*.f64 y y)))) (fma.f64 y z x))
(/.f64 (.f64 x x) (.f64 z (+.f64 y (/.f64 x z))))
(/.f64 (.f64 (.f64 z y) (fma.f64 y (neg.f64 z) x)) (fma.f64 y z x))
(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (.f64 z y))
(/.f64 (*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (fma.f64 y z x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 (neg.f64 (.f64 z z)) (/.f64 #s(literal 1 binary64) z) (.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)
(.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/24 binary64)))) (.f64 x #s(literal -1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x))))
(/.f64 (.f64 (.f64 y z) (fma.f64 y (neg.f64 z) x)) (*.f64 z (+.f64 y (/.f64 x z))))
(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (.f64 z (+.f64 y (/.f64 x z))))
(fma.f64 y (fma.f64 (neg.f64 (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))) (fma.f64 y z x))
(fma.f64 y (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 z z)) (fma.f64 x (.f64 #s(literal -1/2 binary64) y) z)) x)
(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (fma.f64 (.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(.f64 (.f64 (fma.f64 y z x) (/.f64 (fma.f64 y (neg.f64 z) x) (+.f64 y (/.f64 x z)))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (fma.f64 y (neg.f64 z) x) (+.f64 y (/.f64 x z))) (/.f64 z (fma.f64 y z x)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (fma.f64 z z (/.f64 (*.f64 x (/.f64 x (neg.f64 y))) y)))) (fma.f64 y z x))
(/.f64 (/.f64 (fma.f64 y (neg.f64 z) x) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (*.f64 z (+.f64 y (/.f64 x z))))
(/.f64 (.f64 (fma.f64 y z x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (.f64 (fma.f64 z y x) (-.f64 x (.f64 z y))))) (fma.f64 y z x))
(fma.f64 (/.f64 (.f64 z z) #s(literal -1 binary64)) (/.f64 (.f64 y y) (fma.f64 z y x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z y x)))))
(fma.f64 (/.f64 (.f64 (.f64 z y) z) #s(literal -1 binary64)) (/.f64 y (fma.f64 z y x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z y x)))))
(.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
(/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (fma.f64 z (.f64 y (.f64 z y)) (*.f64 x (fma.f64 z y x))))
(.f64 (/.f64 (fma.f64 z y x) (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x))) (/.f64 (-.f64 x (.f64 z y)) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)) (fma.f64 y (neg.f64 z) x))))
(.f64 (/.f64 (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (fma.f64 y z x))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
(.f64 (/.f64 (.f64 (fma.f64 y (neg.f64 z) x) (/.f64 (fma.f64 y z x) z)) (-.f64 (.f64 y y) (/.f64 (.f64 x x) (*.f64 z z)))) (-.f64 y (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (.f64 z (.f64 y (.f64 y (.f64 y z))))) (/.f64 x (.f64 y (.f64 y z))))) z))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (fma.f64 y (neg.f64 z) x)) (fma.f64 y (neg.f64 z) x)) (.f64 (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (fma.f64 y (neg.f64 z) x))) (fma.f64 y z (*.f64 x #s(literal 1 binary64)))))
(*.f64 x (cos.f64 y))
(neg.f64 (*.f64 z (sin.f64 y)))
(/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))

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

Calls

2 calls:

18.0ms	z
16.0ms	x

Results

Accuracy	Segments	Branch
74.2%	3	`z`
82.1%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes51.0ms (0.5%)

Memory

13.2MiB live, 88.6MiB allocated

Counts

57 → 3

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 (neg.f64 z) y x)
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y)) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(.f64 y (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) (fma.f64 y z x))
(neg.f64 (.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (*.f64 y x) (/.f64 z (neg.f64 x)) x)
(.f64 x (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y))))) x)
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) (neg.f64 z)))
(/.f64 (neg.f64 (.f64 z (.f64 z (*.f64 y y)))) (fma.f64 y z x))
(/.f64 (.f64 x x) (.f64 z (+.f64 y (/.f64 x z))))
(/.f64 (.f64 (.f64 z y) (fma.f64 y (neg.f64 z) x)) (fma.f64 y z x))
(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (.f64 z y))
(/.f64 (*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (fma.f64 y z x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 (neg.f64 (.f64 z z)) (/.f64 #s(literal 1 binary64) z) (.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)
(.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/24 binary64)))) (.f64 x #s(literal -1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x))))
(/.f64 (.f64 (.f64 y z) (fma.f64 y (neg.f64 z) x)) (*.f64 z (+.f64 y (/.f64 x z))))
(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (.f64 z (+.f64 y (/.f64 x z))))
(fma.f64 y (fma.f64 (neg.f64 (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))) (fma.f64 y z x))
(fma.f64 y (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 z z)) (fma.f64 x (.f64 #s(literal -1/2 binary64) y) z)) x)
(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (fma.f64 (.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(.f64 (.f64 (fma.f64 y z x) (/.f64 (fma.f64 y (neg.f64 z) x) (+.f64 y (/.f64 x z)))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (fma.f64 y (neg.f64 z) x) (+.f64 y (/.f64 x z))) (/.f64 z (fma.f64 y z x)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (fma.f64 z z (/.f64 (*.f64 x (/.f64 x (neg.f64 y))) y)))) (fma.f64 y z x))
(/.f64 (/.f64 (fma.f64 y (neg.f64 z) x) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (*.f64 z (+.f64 y (/.f64 x z))))
(/.f64 (.f64 (fma.f64 y z x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (.f64 (fma.f64 z y x) (-.f64 x (.f64 z y))))) (fma.f64 y z x))
(fma.f64 (/.f64 (.f64 z z) #s(literal -1 binary64)) (/.f64 (.f64 y y) (fma.f64 z y x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z y x)))))
(fma.f64 (/.f64 (.f64 (.f64 z y) z) #s(literal -1 binary64)) (/.f64 y (fma.f64 z y x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z y x)))))
(.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
(/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (fma.f64 z (.f64 y (.f64 z y)) (*.f64 x (fma.f64 z y x))))
(.f64 (/.f64 (fma.f64 z y x) (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x))) (/.f64 (-.f64 x (.f64 z y)) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)) (fma.f64 y (neg.f64 z) x))))
(.f64 (/.f64 (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (fma.f64 y z x))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
(.f64 (/.f64 (.f64 (fma.f64 y (neg.f64 z) x) (/.f64 (fma.f64 y z x) z)) (-.f64 (.f64 y y) (/.f64 (.f64 x x) (*.f64 z z)))) (-.f64 y (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (.f64 z (.f64 y (.f64 y (.f64 y z))))) (/.f64 x (.f64 y (.f64 y z))))) z))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (fma.f64 y (neg.f64 z) x)) (fma.f64 y (neg.f64 z) x)) (.f64 (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (fma.f64 y (neg.f64 z) x))) (fma.f64 y z (*.f64 x #s(literal 1 binary64)))))
(*.f64 x (cos.f64 y))

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

Calls

3 calls:

17.0ms	y
16.0ms	x
15.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
75.4%	3	`y`
66.8%	3	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
71.5%	3	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes69.0ms (0.6%)

Memory

7.3MiB live, 133.1MiB allocated

Counts

56 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(-.f64 x (*.f64 z y))
(fma.f64 (neg.f64 z) y x)
(.f64 y (.f64 y (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 x (.f64 y y)) x)
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 z (-.f64 (/.f64 x z) y))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
(.f64 y (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) (fma.f64 y z x))
(neg.f64 (.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)))
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (*.f64 y x) (/.f64 z (neg.f64 x)) x)
(.f64 x (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x)
(fma.f64 y (.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x (.f64 y y))))) x)
(.f64 y (fma.f64 y (.f64 y (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) (neg.f64 z)))
(/.f64 (neg.f64 (.f64 z (.f64 z (*.f64 y y)))) (fma.f64 y z x))
(/.f64 (.f64 x x) (.f64 z (+.f64 y (/.f64 x z))))
(/.f64 (.f64 (.f64 z y) (fma.f64 y (neg.f64 z) x)) (fma.f64 y z x))
(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (.f64 z y))
(/.f64 (*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (fma.f64 y z x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 (neg.f64 (.f64 z z)) (/.f64 #s(literal 1 binary64) z) (.f64 y (*.f64 x #s(literal -1/2 binary64)))) x)
(.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y z x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 x #s(literal -1/4 binary64) (.f64 x #s(literal -1/24 binary64)))) (.f64 x #s(literal -1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z x) (*.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x))))
(/.f64 (.f64 (.f64 y z) (fma.f64 y (neg.f64 z) x)) (*.f64 z (+.f64 y (/.f64 x z))))
(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (.f64 z (+.f64 y (/.f64 x z))))
(fma.f64 y (fma.f64 (neg.f64 (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (.f64 y (.f64 x #s(literal -1/2 binary64)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y)))) (fma.f64 y z x))
(fma.f64 y (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 1/4 binary64))) (.f64 z z)) (fma.f64 x (.f64 #s(literal -1/2 binary64) y) z)) x)
(/.f64 (.f64 (fma.f64 y z x) (fma.f64 y (neg.f64 z) x)) (fma.f64 (.f64 z x) (/.f64 #s(literal 1 binary64) z) (*.f64 y z)))
(.f64 (.f64 (fma.f64 y z x) (/.f64 (fma.f64 y (neg.f64 z) x) (+.f64 y (/.f64 x z)))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 (fma.f64 y (neg.f64 z) x) (+.f64 y (/.f64 x z))) (/.f64 z (fma.f64 y z x)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (fma.f64 z z (/.f64 (*.f64 x (/.f64 x (neg.f64 y))) y)))) (fma.f64 y z x))
(/.f64 (/.f64 (fma.f64 y (neg.f64 z) x) (/.f64 #s(literal 1 binary64) (fma.f64 y z x))) (*.f64 z (+.f64 y (/.f64 x z))))
(/.f64 (.f64 (fma.f64 y z x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y x)) (.f64 (fma.f64 z y x) (-.f64 x (.f64 z y))))) (fma.f64 y z x))
(fma.f64 (/.f64 (.f64 z z) #s(literal -1 binary64)) (/.f64 (.f64 y y) (fma.f64 z y x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z y x)))))
(fma.f64 (/.f64 (.f64 (.f64 z y) z) #s(literal -1 binary64)) (/.f64 y (fma.f64 z y x)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z y x)))))
(.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (fma.f64 y (neg.f64 z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
(/.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (fma.f64 z (.f64 y (.f64 z y)) (*.f64 x (fma.f64 z y x))))
(.f64 (/.f64 (fma.f64 z y x) (.f64 (fma.f64 z y x) (-.f64 (.f64 z y) x))) (/.f64 (-.f64 x (.f64 z y)) (/.f64 #s(literal -1 binary64) (-.f64 x (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (*.f64 x x)) (fma.f64 y (neg.f64 z) x))))
(.f64 (/.f64 (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (fma.f64 y z x))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (neg.f64 z) x) (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x))))
(.f64 (/.f64 (.f64 (fma.f64 y (neg.f64 z) x) (/.f64 (fma.f64 y z x) z)) (-.f64 (.f64 y y) (/.f64 (.f64 x x) (*.f64 z z)))) (-.f64 y (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x (/.f64 x (.f64 z (.f64 y (.f64 y (.f64 y z))))) (/.f64 x (.f64 y (.f64 y z))))) z))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 y z) (fma.f64 y z x) (.f64 x x)) (fma.f64 y (neg.f64 z) x)) (fma.f64 y (neg.f64 z) x)) (.f64 (fma.f64 y (.f64 z (.f64 y z)) (.f64 x (fma.f64 y (neg.f64 z) x))) (fma.f64 y z (*.f64 x #s(literal 1 binary64)))))

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

Calls

4 calls:

19.0ms	z
17.0ms	y
16.0ms	x
15.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
53.3%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
53.3%	1	`x`
53.3%	1	`z`
53.3%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory

-14.3MiB live, 23.2MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
53.3%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
53.3%	1	`y`
53.3%	1	`x`
53.3%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.1%)

Memory

-17.1MiB live, 21.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
39.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
39.9%	1	`y`
46.3%	3	`x`
43.1%	2	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	z

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch21.0ms (0.2%)

Memory

-9.9MiB live, 32.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.9163812326923743e+23	2.426975769459949e+26
2.0ms	-1.9804666425040857e+47	-1.8003385516158373e+47

Samples

14.0ms

144×

valid

Compiler

Compiled 222 to 167 computations (24.8% saved)

Precisions

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

ival-cos: 3.0ms (35.3% of total)

ival-sin: 3.0ms (35.3% of total)

ival-mult: 2.0ms (23.5% of total)

ival-sub: 1.0ms (11.8% of total)

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

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

bsearch85.0ms (0.7%)

Memory

-1.0MiB live, 37.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
74.0ms	2.2315571754435673e-139	5.8894432834772016e-139
9.0ms	-4.515717005271627e-37	-1.6514595811578662e-37

Samples

77.0ms

160×

valid

Compiler

Compiled 185 to 144 computations (22.2% saved)

Precisions

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

ival-cos: 67.0ms (91.5% of total)

ival-sin: 4.0ms (5.5% of total)

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

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

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

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

bsearch39.0ms (0.3%)

Memory

3.9MiB live, 42.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.2287225423087196e-7	3378.860185238779
17.0ms	-13.506227614094588	-1.5363594875748794e-36

Samples

23.0ms

336×

valid

Compiler

Compiled 582 to 392 computations (32.6% saved)

Precisions

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

ival-mult: 5.0ms (36.6% of total)

ival-cos: 4.0ms (29.2% of total)

ival-sin: 3.0ms (21.9% of total)

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

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

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

bsearch36.0ms (0.3%)

Memory

17.3MiB live, 55.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	6.197439937800707e-174	1.3063061026863959e-163
13.0ms	-1.049218154712424e-67	-1.1013109749091788e-69

Samples

25.0ms

272×

valid

Compiler

Compiled 236 to 184 computations (22% saved)

Precisions

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

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

ival-sin: 5.0ms (31.1% of total)

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

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

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

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

simplify12.0ms (0.1%)

Memory

-23.0MiB live, 18.8MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
14×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	113
1	73	113
2	91	113
3	99	113
4	103	113
5	104	113

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -185000000000000020280926725530098764975649587200 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 240000000000000004563402752 binary64)) (fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))))) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -4789048565205903/23945242826029513411849172299223580994042798784118784 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 3888264299683353/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -1116892707587883/18014398509481984 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 8106479329266893/36028797018963968 binary64)) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x) (.f64 x (cos.f64 y))))
(fma.f64 (neg.f64 z) y x)
(-.f64 x (*.f64 z y))
(if (<=.f64 x #s(literal -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) x (if (<=.f64 x #s(literal 8947392945399641/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) (*.f64 y (neg.f64 z)) x))
x

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -185000000000000020280926725530098764975649587200 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 240000000000000004563402752 binary64)) (fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z (sin.f64 y))))) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -4789048565205903/23945242826029513411849172299223580994042798784118784 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 3888264299683353/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -4789048565205903/23945242826029513411849172299223580994042798784118784 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 3888264299683353/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -1116892707587883/18014398509481984 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 8106479329266893/36028797018963968 binary64)) (fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (.f64 y (.f64 z #s(literal 1/6 binary64)))) (neg.f64 z)) x) (.f64 x (cos.f64 y))))
(fma.f64 (neg.f64 z) y x)
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(if (<=.f64 x #s(literal -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) x (if (<=.f64 x #s(literal 8947392945399641/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) (*.f64 y (neg.f64 z)) x))
x

soundness1.4s (12.7%)

Memory

40.6MiB live, 777.2MiB allocated

Rules

15 772×	`lower-fma.f64`
15 772×	`lower-fma.f32`
12 936×	`lower-fma.f64`
12 936×	`lower-fma.f32`
10 986×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	668	7522
1	2252	7320
0	8406	7032
0	28	121
0	54	125
1	198	103
2	1544	103
0	8519	103
0	32	193
0	60	145
1	254	107
2	2119	97
0	9995	97
0	8	21
0	13	21
1	33	21
2	210	21
3	1964	21
0	8379	21
0	112	686
1	339	681
2	933	669
3	2680	663
4	4621	663
5	7358	663
0	8230	636
0	407	3689
1	1326	3399
2	4284	3371
0	8171	3229

Stop Event

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

Compiler

Compiled 259 to 151 computations (41.7% saved)

preprocess159.0ms (1.4%)

Memory: 7.3MiB live, 172.0MiB allocated
Compiler: Compiled 256 to 116 computations (54.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

analyze0.0ms (0%)

sample1.1s (9.5%)

preprocess61.0ms (0.5%)

explain178.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.1%)

localize37.0ms (0.3%)

series8.0ms (0.1%)

rewrite629.0ms (5.5%)

simplify468.0ms (4.1%)

eval53.0ms (0.5%)

prune59.0ms (0.5%)

simplify256.0ms (2.3%)

localize221.0ms (1.9%)

series88.0ms (0.8%)

rewrite531.0ms (4.7%)

simplify646.0ms (5.7%)

eval599.0ms (5.3%)

prune344.0ms (3%)

simplify325.0ms (2.9%)

localize107.0ms (0.9%)

series43.0ms (0.4%)

rewrite399.0ms (3.5%)

simplify425.0ms (3.7%)

eval228.0ms (2%)

prune315.0ms (2.8%)

simplify553.0ms (4.9%)

localize137.0ms (1.2%)

series42.0ms (0.4%)

rewrite349.0ms (3.1%)

simplify369.0ms (3.3%)

eval270.0ms (2.4%)

prune317.0ms (2.8%)

regimes111.0ms (1%)

regimes116.0ms (1%)

regimes38.0ms (0.3%)

regimes51.0ms (0.5%)

regimes69.0ms (0.6%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

bsearch21.0ms (0.2%)

bsearch85.0ms (0.7%)

bsearch39.0ms (0.3%)

bsearch36.0ms (0.3%)

simplify12.0ms (0.1%)

soundness1.4s (12.7%)

preprocess159.0ms (1.4%)

end0.0ms (0%)

Profiling

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