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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (11.4%)

Memory

40.4MiB live, 2 049.2MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 911.0ms

ival-cos: 438.0ms (48.1% of total)

ival-sin: 232.0ms (25.5% of total)

ival-mult: 155.0ms (17% of total)

ival-sub: 77.0ms (8.5% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess51.0ms (0.4%)

Memory

10.8MiB live, 47.8MiB 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)))

explain113.0ms (0.9%)

Memory

-33.6MiB live, 204.0MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

53.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-cos: 14.0ms (40% of total)

ival-sin: 12.0ms (34.3% of total)

ival-mult: 7.0ms (20% of total)

ival-sub: 2.0ms (5.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify16.0ms (0.1%)

Memory

30.5MiB live, 30.5MiB 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

-12.8MiB live, 61.8MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

27.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 8.0ms (44.8% of total)

ival-sin: 5.0ms (28% of total)

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

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

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

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

series7.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite522.0ms (4.1%)

Memory

-28.5MiB live, 770.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 231

Calls

Call 1

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

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

simplify349.0ms (2.7%)

Memory

0.4MiB live, 737.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

eval46.0ms (0.4%)

Memory: 13.9MiB live, 124.2MiB allocated
Compiler: Compiled 15 422 to 728 computations (95.3% saved)

prune47.0ms (0.4%)

Memory

0.9MiB live, 116.8MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	310	15	325
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	311	15	326

Accuracy

99.9%

Counts

326 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.4%	(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)))
	62.0%	(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)))))))
▶	99.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	36.9%	(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 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)
	62.0%	(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)))))))
	39.8%	(/.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))))
	39.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y))) (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	80.4%	(-.f64 (.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y)))
	51.5%	(-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y))
▶	52.0%	(-.f64 x (*.f64 z y))
▶	39.8%	(.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)))))
▶	56.6%	(*.f64 x (cos.f64 y))
	45.1%	(neg.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 694 to 394 computations (43.2% saved)

simplify404.0ms (3.1%)

Memory

-37.0MiB live, 501.4MiB 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	320	(.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)))))
✓	cost-diff	6720	(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	0	(*.f64 x (cos.f64 y))
✓	cost-diff	0	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	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 x (cos.f64 y))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))

Rules

14 360×	`lower-fma.f32`
14 354×	`lower-fma.f64`
3 756×	`lower-*.f32`
3 740×	`lower-*.f64`
2 012×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	233
0	55	229
1	106	227
2	218	227
3	611	227
4	2068	223
5	4499	221
6	7441	221
0	8011	214

Stop Event

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

Calls

Call 1

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

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

localize192.0ms (1.5%)

Memory

21.8MiB live, 297.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	83.9%	(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	74.0%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	55.5%	(.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)))))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))
✓	accuracy	100.0%	(-.f64 x (*.f64 z y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
✓	accuracy	99.8%	(*.f64 x (cos.f64 y))

Samples

73.0ms	89×	1	valid
40.0ms	129×	0	valid
28.0ms	38×	2	valid

Compiler

Compiled 241 to 33 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-cos: 52.0ms (46.2% of total)

ival-mult: 21.0ms (18.6% of total)

adjust: 10.0ms (8.9% of total)

ival-sin: 8.0ms (7.1% of total)

ival-div: 7.0ms (6.2% of total)

ival-add: 7.0ms (6.2% of total)

ival-sub: 5.0ms (4.4% of total)

ival-neg: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (0.5%)

Memory

-14.4MiB live, 35.9MiB allocated

Counts

15 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
24.0ms	z	@	inf	(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
4.0ms	y	@	inf	(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))
2.0ms	x	@	0	(* (+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* x (cos y)) (* z (sin y)))))
1.0ms	z	@	inf	(neg z)
1.0ms	y	@	-inf	(+ (* (- 1/2 (* 1/2 (cos (+ y y)))) (neg (* z z))) (* (* x x) (+ 1/2 (* 1/2 (cos (+ y y))))))

rewrite637.0ms (5%)

Memory

30.6MiB live, 418.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 446×	`lower-fma.f32`
5 440×	`lower-fma.f64`
5 014×	`lower-*.f32`
4 998×	`lower-*.f64`
4 398×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	141
0	55	110
1	207	90
2	1601	90
0	8368	90

Stop Event

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

Counts

15 → 1 234

Calls

Call 1

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

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

simplify717.0ms (5.6%)

Memory

-1.3MiB live, 434.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 910×	`lower-fma.f64`
7 910×	`lower-fma.f32`
7 014×	`lower-*.f64`
7 014×	`lower-*.f32`
2 864×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	604	5579
1	2062	5411
2	7610	5374
0	8020	5087

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 374

Calls

Call 1

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

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

eval247.0ms (1.9%)

Memory: -6.2MiB live, 582.5MiB allocated
Compiler: Compiled 75 040 to 2 843 computations (96.2% saved)

prune162.0ms (1.3%)

Memory

11.6MiB live, 507.9MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1 726	21	1 747
Fresh	7	3	10
Picked	2	3	5
Done	0	0	0
Total	1 735	27	1 762

Accuracy

100.0%

Counts

1 762 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.5%	(fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x)
	69.2%	(fma.f64 (sin.f64 y) (/.f64 (neg.f64 (.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (.f64 x (cos.f64 y)))
✓	99.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	80.4%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(literal 1 binary64)))
	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)
	35.9%	(fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64)))) x)
	36.3%	(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y)) x)
	30.8%	(/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x))
	28.5%	(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
	32.3%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
	56.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y))))
	37.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	51.5%	(-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y))
✓	52.0%	(-.f64 x (*.f64 z y))
▶	46.9%	(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
	56.4%	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
	45.4%	(.f64 z (-.f64 (.f64 (.f64 x (cos.f64 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 z (pow.f64 (sin.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)) (sin.f64 y))))
▶	89.8%	(.f64 z (-.f64 (.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
	41.3%	(*.f64 y (-.f64 (/.f64 x y) z))
	35.9%	(.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
▶	36.1%	(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
▶	90.3%	(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
✓	56.6%	(*.f64 x (cos.f64 y))
▶	37.9%	(*.f64 x #s(literal 1 binary64))
	30.0%	(neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
	45.1%	(neg.f64 (*.f64 z (sin.f64 y)))
	17.7%	(neg.f64 (*.f64 y z))

Compiler

Compiled 739 to 468 computations (36.7% saved)

simplify227.0ms (1.8%)

Memory

-5.4MiB live, 549.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 (cos.f64 y) (/.f64 x z))
✓	cost-diff	0	(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
✓	cost-diff	704	(.f64 z (-.f64 (.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
✓	cost-diff	0	(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(fma.f64 y (/.f64 z x) #s(literal -1 binary64))
✓	cost-diff	1024	(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
✓	cost-diff	320	(*.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (*.f64 z (sin.f64 y)) x)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
✓	cost-diff	704	(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))

Rules

7 780×	`lower-fma.f32`
7 772×	`lower-fma.f64`
2 894×	`lower-*.f32`
2 876×	`lower-*.f64`
2 080×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	170
0	54	168
1	108	168
2	313	168
3	905	168
4	2992	160
5	6201	160
0	8396	160

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (0.8%)

Memory

7.5MiB live, 250.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
✓	accuracy	99.8%	(*.f64 (cos.f64 y) (/.f64 x z))
✓	accuracy	89.9%	(.f64 z (-.f64 (.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
✓	accuracy	99.9%	(fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
✓	accuracy	99.8%	(.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
✓	accuracy	99.5%	(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	97.5%	(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	95.4%	(fma.f64 y (/.f64 z x) #s(literal -1 binary64))
✓	accuracy	92.9%	(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
✓	accuracy	100.0%	(*.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	95.6%	(/.f64 (*.f64 z (sin.f64 y)) x)
✓	accuracy	90.2%	(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))

Samples

74.0ms

256×

valid

Compiler

Compiled 184 to 35 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 20.0ms (38.4% of total)

const: 7.0ms (13.5% of total)

ival-cos: 6.0ms (11.5% of total)

ival-div: 5.0ms (9.6% of total)

ival-sin: 5.0ms (9.6% of total)

ival-add: 4.0ms (7.7% of total)

ival-sub: 2.0ms (3.8% of total)

ival-neg: 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)

series39.0ms (0.3%)

Memory

-9.0MiB live, 67.3MiB allocated

Counts

19 → 456

Calls

Call 1

Inputs
#<alt (.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))>
#<alt (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))>
#<alt (cos.f64 y)>
#<alt (/.f64 (*.f64 z (sin.f64 y)) x)>
#<alt (*.f64 x #s(literal 1 binary64))>
#<alt (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))>
#<alt (fma.f64 y (/.f64 z x) #s(literal -1 binary64))>
#<alt (/.f64 z x)>
#<alt (neg.f64 x)>
#<alt (.f64 x (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 y y)>
#<alt (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))>
#<alt (.f64 z (-.f64 (.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))>
#<alt (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))>
#<alt (*.f64 (cos.f64 y) (/.f64 x z))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))>
#<alt (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))>

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

Calls

114 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	(* (+ (* y (/ z x)) -1) (neg x))
3.0ms	y	@	inf	(+ (* y (* y (+ (* (* y y) -1/720) 1/24))) -1/2)
3.0ms	y	@	inf	(* x (- (cos y) (/ (* z (sin y)) x)))
1.0ms	x	@	0	(* x (+ (* (* y y) (+ (* y (* y (+ (* (* y y) -1/720) 1/24))) -1/2)) 1))
1.0ms	y	@	inf	(* z (- (* (cos y) (/ x z)) (sin y)))

rewrite434.0ms (3.4%)

Memory

-9.9MiB live, 546.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 310×	`lower-fma.f32`
5 302×	`lower-fma.f64`
4 128×	`lower-*.f32`
4 110×	`lower-*.f64`
4 024×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	143
0	54	141
1	201	141
2	1521	141
0	8340	141

Stop Event

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

Counts

19 → 649

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (cos.f64 y)) (.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))))
(+.f64 (.f64 x (cos.f64 y)) (.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) x))
(fma.f64 x (cos.f64 y) (.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x))))
(fma.f64 x (cos.f64 y) (.f64 (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)) x))
(fma.f64 (cos.f64 y) x (.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x))))
(fma.f64 (cos.f64 y) x (.f64 (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)) x))
(fma.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64) (.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x))))
(fma.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64) (.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 z x) (/.f64 z x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 z x) (/.f64 z x)))) x)))
(/.f64 (.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 z x) (/.f64 z x))))) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) x) (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 z x) (/.f64 z x)))) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)))
(/.f64 (neg.f64 (.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (neg.f64 (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 z x) (/.f64 z x)))))) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (sin.f64 y)) x) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (/.f64 (.f64 z (sin.f64 y)) x) (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 z x) (/.f64 z x)))) x)) (neg.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x))) (.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)))) (.f64 (.f64 x (cos.f64 y)) (.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)) x) (.f64 (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)) x)) (.f64 (.f64 x (cos.f64 y)) (.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x))) (.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x))))) (-.f64 (.f64 x (cos.f64 y)) (.f64 x (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)) x) (.f64 (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)) x))) (-.f64 (.f64 x (cos.f64 y)) (.f64 (/.f64 (*.f64 z (sin.f64 y)) (neg.f64 x)) x)))
(.f64 x (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)))
(.f64 (-.f64 (cos.f64 y) (/.f64 (.f64 z (sin.f64 y)) x)) x)
(.f64 (.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))))
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(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (*.f64 y y) #s(literal -1/17280 binary64)))))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64)) (.f64 (.f64 y y) #s(literal -1/17280 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (*.f64 y y) #s(literal -1/17280 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))))
(.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))
(+.f64 (.f64 y #s(literal 1/24 binary64)) (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))))
(+.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y #s(literal 1/24 binary64)))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (-.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y #s(literal 1/24 binary64)))) (/.f64 (.f64 (.f64 y #s(literal 1/24 binary64)) (.f64 y #s(literal 1/24 binary64))) (-.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y #s(literal 1/24 binary64)))))
(fma.f64 y #s(literal 1/24 binary64) (.f64 y (.f64 (*.f64 y y) #s(literal -1/720 binary64))))
(fma.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)) (*.f64 y #s(literal 1/24 binary64)))
(fma.f64 (.f64 y y) (.f64 y #s(literal -1/720 binary64)) (*.f64 y #s(literal 1/24 binary64)))
(fma.f64 #s(literal -1/720 binary64) (.f64 y (.f64 y y)) (*.f64 y #s(literal 1/24 binary64)))
(fma.f64 #s(literal 1/24 binary64) y (.f64 y (.f64 (*.f64 y y) #s(literal -1/720 binary64))))
(fma.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) y (*.f64 y #s(literal 1/24 binary64)))
(fma.f64 (.f64 y #s(literal -1/720 binary64)) (.f64 y y) (*.f64 y #s(literal 1/24 binary64)))
(fma.f64 (.f64 y (.f64 y y)) #s(literal -1/720 binary64) (*.f64 y #s(literal 1/24 binary64)))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (-.f64 (.f64 (.f64 y #s(literal 1/24 binary64)) (.f64 y #s(literal 1/24 binary64))) (.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y #s(literal 1/24 binary64))))) (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64))) (.f64 y (.f64 y y)) (.f64 #s(literal 1/13824 binary64) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y #s(literal 1/24 binary64))) (-.f64 (.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 (.f64 y #s(literal 1/24 binary64)) (.f64 y #s(literal 1/24 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 y y) #s(literal -1/17280 binary64))) (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)) (.f64 y (fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 y y) #s(literal -1/17280 binary64))) (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (*.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)) (.f64 (fma.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) y)))
(/.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64))) (.f64 y (.f64 y y)) (.f64 #s(literal 1/13824 binary64) (.f64 y (.f64 y y)))) (fma.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (-.f64 (.f64 (.f64 y #s(literal 1/24 binary64)) (.f64 y #s(literal 1/24 binary64))) (.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (*.f64 y #s(literal 1/24 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 (.f64 y #s(literal 1/24 binary64)) (.f64 y #s(literal 1/24 binary64)))) (-.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y #s(literal 1/24 binary64))))
(/.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (-.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (*.f64 y y) #s(literal -1/17280 binary64))))
(/.f64 (.f64 y (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) y) (-.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (*.f64 y y) #s(literal -1/17280 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) y) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64))) (.f64 y (.f64 y y)) (.f64 #s(literal 1/13824 binary64) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (-.f64 (.f64 (.f64 y #s(literal 1/24 binary64)) (.f64 y #s(literal 1/24 binary64))) (.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (*.f64 y #s(literal 1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 (.f64 y #s(literal 1/24 binary64)) (.f64 y #s(literal 1/24 binary64))))) (neg.f64 (-.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (*.f64 y y) #s(literal -1/17280 binary64)))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) y)) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (*.f64 y y) #s(literal -1/17280 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) y)) (neg.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64))) (.f64 y (.f64 y y)))) (fma.f64 (.f64 y #s(literal 1/24 binary64)) (.f64 y #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 (.f64 y #s(literal 1/24 binary64)) (.f64 y (.f64 (*.f64 y y) #s(literal -1/720 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 y #s(literal 1/24 binary64)) (.f64 y #s(literal 1/24 binary64))) (.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))))) (-.f64 (.f64 y #s(literal 1/24 binary64)) (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))))
(.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) y)
(.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64))) (.f64 y (.f64 y y)) (.f64 #s(literal 1/13824 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (-.f64 (.f64 (.f64 y #s(literal 1/24 binary64)) (.f64 y #s(literal 1/24 binary64))) (.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y #s(literal 1/24 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))) (.f64 (.f64 y #s(literal 1/24 binary64)) (.f64 y #s(literal 1/24 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64))) (*.f64 y #s(literal 1/24 binary64)))))
(.f64 (.f64 y (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 y y) #s(literal -1/17280 binary64)))))
(.f64 (.f64 y (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))
(.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal 1/576 binary64)) (.f64 (.f64 y y) #s(literal -1/17280 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal -1/24 binary64))))

simplify825.0ms (6.4%)

Memory

15.3MiB live, 621.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 058×	`lower-fma.f64`
16 058×	`lower-fma.f32`
4 442×	`lower-+.f64`
4 442×	`lower-+.f32`
3 832×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	3434
1	815	3395
2	2385	3356
3	4648	3333
4	7877	3333
0	8220	3207

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 437

Calls

Call 1

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

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

eval167.0ms (1.3%)

Memory: -3.0MiB live, 343.3MiB allocated
Compiler: Compiled 26 861 to 2 391 computations (91.1% saved)

prune186.0ms (1.4%)

Memory

-4.9MiB live, 275.3MiB allocated

Pruning

41 alts after pruning (36 fresh and 5 done)

	Pruned	Kept	Total
New	1 097	23	1 120
Fresh	6	13	19
Picked	3	2	5
Done	0	3	3
Total	1 106	41	1 147

Accuracy

100.0%

Counts

1 147 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.9%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)
✓	99.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	80.4%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(literal 1 binary64)))
	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)
	35.9%	(fma.f64 y (.f64 y (fma.f64 x (.f64 (.f64 y y) #s(literal 1/24 binary64)) (.f64 x #s(literal -1/2 binary64)))) x)
	36.3%	(fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)
	36.3%	(fma.f64 x (.f64 #s(literal -1/2 binary64) (.f64 y y)) x)
▶	12.8%	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
	30.8%	(/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x))
	20.4%	(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))
	46.9%	(/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))
	28.5%	(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 z (/.f64 z (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 z (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
	32.3%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
	34.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x))))
▶	37.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	51.5%	(-.f64 x (.f64 (fma.f64 y (.f64 x #s(literal 1/2 binary64)) z) y))
✓	52.0%	(-.f64 x (*.f64 z y))
	26.9%	(.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (/.f64 (neg.f64 (.f64 x x)) x))
▶	16.9%	(.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (.f64 x (*.f64 x x))))))
	16.9%	(.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
✓	46.9%	(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))
	46.9%	(*.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal -1 binary64)) (neg.f64 x))
	56.4%	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
	17.3%	(.f64 (/.f64 (.f64 z y) x) (neg.f64 x))
	89.8%	(.f64 (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)
	32.6%	(*.f64 z (/.f64 x z))
	46.2%	(.f64 z (-.f64 (.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 x z)) y))
✓	89.8%	(.f64 z (-.f64 (.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
	59.1%	(.f64 z (.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 x z) (/.f64 x z))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))))
	46.5%	(.f64 z (.f64 x (/.f64 (cos.f64 y) z)))
	45.1%	(*.f64 z (neg.f64 (sin.f64 y)))
	41.3%	(*.f64 y (-.f64 (/.f64 x y) z))
	17.7%	(*.f64 y (neg.f64 z))
	35.9%	(.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	36.1%	(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/720 binary64) (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	36.1%	(.f64 x (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))) #s(literal 1 binary64)))
▶	90.2%	(*.f64 x (-.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y)))))
	35.5%	(.f64 x (neg.f64 (/.f64 (.f64 z (sin.f64 y)) x)))
✓	56.6%	(*.f64 x (cos.f64 y))
	30.0%	(neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
▶	37.9%	x

Compiler

Compiled 1 173 to 731 computations (37.7% saved)

simplify198.0ms (1.5%)

Memory

15.4MiB live, 253.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	1024	(.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (.f64 x (*.f64 x x))))))
✓	cost-diff	1088	(/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (.f64 x (.f64 x x))))
✓	cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (.f64 x (.f64 x x)))))
✓	cost-diff	192	(-.f64 (*.f64 x x) #s(literal 0 binary64))
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	1664	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(-.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y))))
✓	cost-diff	0	(*.f64 x (-.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y)))))
✓	cost-diff	384	(/.f64 z (/.f64 x (sin.f64 y)))

Rules

4 724×	`lower-fma.f32`
4 720×	`lower-fma.f64`
3 328×	`lower-*.f32`
3 320×	`lower-*.f64`
2 436×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	27	169
0	49	125
1	89	121
2	253	104
3	1275	102
4	3102	101
5	5661	100
0	8097	100

Stop Event

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

Calls

Call 1

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

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

localize110.0ms (0.9%)

Memory

-7.1MiB live, 149.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (.f64 x (.f64 x x)))))
✓	accuracy	95.4%	(fma.f64 y (/.f64 z x) #s(literal -1 binary64))
✓	accuracy	92.9%	(.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (.f64 x (*.f64 x x))))))
✓	accuracy	33.5%	(/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (.f64 x (.f64 x x))))
✓	accuracy	100.0%	(+.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	33.8%	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(/.f64 x (sin.f64 y))
✓	accuracy	95.0%	(/.f64 z (/.f64 x (sin.f64 y)))
✓	accuracy	90.2%	(*.f64 x (-.f64 (cos.f64 y) (/.f64 z (/.f64 x (sin.f64 y)))))

Samples

75.0ms

256×

valid

Compiler

Compiled 177 to 30 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 15.0ms (35.6% of total)

ival-mult: 7.0ms (16.6% of total)

ival-sin: 6.0ms (14.2% of total)

ival-cos: 6.0ms (14.2% of total)

ival-add: 4.0ms (9.5% of total)

ival-sub: 2.0ms (4.7% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

18 → 348

Calls

Call 1

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

Outputs
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* y z) x)>
#<alt (* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))>
#<alt (* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (/ (* z (sin y)) x)>
#<alt (* -1 (* z (sin y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* x (cos y))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))>
#<alt (* x (cos y))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))>
#<alt x>
#<alt (+ x (* -1 (* y z)))>
#<alt (+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))>
#<alt (+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (- (cos y) (/ (* z (sin y)) x)))>
#<alt (* x (cos y))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (+ (* -1 (* z (sin y))) (* x (cos y)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt (* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* y z) x)))>
#<alt (+ 1 (* y (- (* -1/2 y) (/ z x))))>
#<alt (+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (- (cos y) (/ (* z (sin y)) x))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* z (- (/ (cos y) z) (/ (sin y) x)))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))>
#<alt (* -1 (/ (* z (sin y)) x))>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (/ (- (* x (cos y)) (* z (sin y))) x)>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (cos y)>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt (+ (cos y) (* -1 (/ (* z (sin y)) x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt 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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x y)>
#<alt (/ (+ x (* 1/6 (* x (pow y 2)))) y)>
#<alt (/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) y)>
#<alt (/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) y)>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (/ x (sin y))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1>
#<alt (- (/ (* y z) x) 1)>
#<alt (- (/ (* y z) x) 1)>
#<alt (- (/ (* y z) x) 1)>
#<alt (/ (* y z) x)>
#<alt (* y (- (/ z x) (/ 1 y)))>
#<alt (* y (- (/ z x) (/ 1 y)))>
#<alt (* y (- (/ z x) (/ 1 y)))>
#<alt (/ (* y z) x)>
#<alt (* -1 (* y (+ (* -1 (/ z x)) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (/ z x)) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (/ z x)) (/ 1 y))))>
#<alt -1>
#<alt (- (/ (* y z) x) 1)>
#<alt (- (/ (* y z) x) 1)>
#<alt (- (/ (* y z) x) 1)>
#<alt (/ (* y z) x)>
#<alt (* z (- (/ y x) (/ 1 z)))>
#<alt (* z (- (/ y x) (/ 1 z)))>
#<alt (* z (- (/ y x) (/ 1 z)))>
#<alt (/ (* y z) x)>
#<alt (* -1 (* z (+ (* -1 (/ y x)) (/ 1 z))))>
#<alt (* -1 (* z (+ (* -1 (/ y x)) (/ 1 z))))>
#<alt (* -1 (* z (+ (* -1 (/ y x)) (/ 1 z))))>
#<alt (/ (* y z) x)>
#<alt (/ (+ (* -1 x) (* y z)) x)>
#<alt (/ (+ (* -1 x) (* y z)) x)>
#<alt (/ (+ (* -1 x) (* y z)) x)>
#<alt -1>
#<alt (- (/ (* y z) x) 1)>
#<alt (- (/ (* y z) x) 1)>
#<alt (- (/ (* y z) x) 1)>
#<alt -1>
#<alt (- (/ (* y z) x) 1)>
#<alt (- (/ (* y z) x) 1)>
#<alt (- (/ (* y z) x) 1)>

Calls

87 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ x (sin y))
0.0ms	y	@	inf	(/ x (sin y))
0.0ms	y	@	0	(/ x (sin y))
0.0ms	y	@	-inf	(/ x (sin y))
0.0ms	x	@	-inf	(/ x (sin y))

rewrite286.0ms (2.2%)

Memory

-1.8MiB live, 515.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 940×	`lower-/.f32`
2 926×	`lower-/.f64`
2 776×	`lower-fma.f32`
2 772×	`lower-fma.f64`
2 368×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	136
0	49	80
1	211	74
2	1984	73
0	9453	71

Stop Event

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

Counts

18 → 1 392

Calls

Call 1

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

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

simplify410.0ms (3.2%)

Memory

8.5MiB live, 723.4MiB allocated

Algorithm

1×	egg-herbie

Rules

15 880×	`lower-fma.f64`
15 880×	`lower-fma.f32`
5 610×	`lower-*.f64`
5 610×	`lower-*.f32`
2 436×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	1818
1	557	1780
2	1653	1762
3	4939	1759
0	8112	1708

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 319

Calls

Call 1

Inputs
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* y z) x)
(* y (+ (* -1/6 (/ (* (pow y 2) z) x)) (/ z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* 1/120 (/ (* (pow y 2) z) x)))) (/ z x)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ z x)) (* (pow y 2) (+ (* -1/5040 (/ (* (pow y 2) z) x)) (* 1/120 (/ z x)))))) (/ z x)))
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(/ (* z (sin y)) x)
(* -1 (* z (sin y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* x (cos y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 (* x y)))))
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z)))))))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (- (cos y) (/ (* z (sin y)) x)))
(* x (cos y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
1
(+ 1 (* -1 (/ (* y z) x)))
(+ 1 (* y (- (* -1/2 y) (/ z x))))
(+ 1 (* y (- (* y (- (* 1/6 (/ (* y z) x)) 1/2)) (/ z x))))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(- (cos y) (/ (* z (sin y)) x))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(* -1 (/ (* z (sin y)) x))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* z (- (/ (cos y) z) (/ (sin y) x)))
(* -1 (/ (* z (sin y)) x))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (* z (- (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x)))))
(* -1 (/ (* z (sin y)) x))
(/ (- (* x (cos y)) (* z (sin y))) x)
(/ (- (* x (cos y)) (* z (sin y))) x)
(/ (- (* x (cos y)) (* z (sin y))) x)
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(cos y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ x (sin y))
(/ x (sin y))
(/ x (sin y))
(/ x (sin y))
(/ x (sin y))
(/ x (sin y))
(/ x (sin y))
(/ x (sin y))
(/ x (sin y))
(/ x (sin y))
(/ x (sin y))
(/ x (sin y))
(/ x y)
(/ (+ x (* 1/6 (* x (pow y 2)))) y)
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) y)
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) y)
(/ x (sin y))
(/ x (sin y))
(/ x (sin y))
(/ x (sin y))
(/ x (sin y))
(/ x (sin y))
(/ x (sin y))
(/ x (sin y))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(/ (* y z) x)
(* y (- (/ z x) (/ 1 y)))
(* y (- (/ z x) (/ 1 y)))
(* y (- (/ z x) (/ 1 y)))
(/ (* y z) x)
(* -1 (* y (+ (* -1 (/ z x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (/ z x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (/ z x)) (/ 1 y))))
-1
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(/ (* y z) x)
(* z (- (/ y x) (/ 1 z)))
(* z (- (/ y x) (/ 1 z)))
(* z (- (/ y x) (/ 1 z)))
(/ (* y z) x)
(* -1 (* z (+ (* -1 (/ y x)) (/ 1 z))))
(* -1 (* z (+ (* -1 (/ y x)) (/ 1 z))))
(* -1 (* z (+ (* -1 (/ y x)) (/ 1 z))))
(/ (* y z) x)
(/ (+ (* -1 x) (* y z)) x)
(/ (+ (* -1 x) (* y z)) x)
(/ (+ (* -1 x) (* y z)) x)
-1
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
-1
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)
(- (/ (* y z) x) 1)

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

eval302.0ms (2.4%)

Memory: -1.1MiB live, 420.5MiB allocated
Compiler: Compiled 49 385 to 4 456 computations (91% saved)

prune452.0ms (3.5%)

Memory

-92.7MiB live, 677.6MiB allocated

Pruning

59 alts after pruning (53 fresh and 6 done)

	Pruned	Kept	Total
New	2 042	35	2 077
Fresh	13	18	31
Picked	3	2	5
Done	1	4	5
Total	2 059	59	2 118

Accuracy

100.0%

Counts

2 118 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.4%	(fma.f64 (*.f64 y (/.f64 z x)) x x)
	35.9%	(fma.f64 (.f64 x (.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) x)
✓	99.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
	80.4%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x #s(literal 1 binary64)))
	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)
	36.3%	(fma.f64 y (.f64 y (.f64 x #s(literal -1/2 binary64))) x)
	4.0%	(/.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
	8.7%	(/.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) x) (.f64 x x)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
	1.9%	(/.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) x) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
	12.8%	(/.f64 (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) #s(literal 0 binary64))))
	4.3%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x x)) x)
	0.9%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x x))))
	1.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
	12.8%	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) #s(literal 0 binary64))))
	2.0%	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
	12.8%	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
	9.6%	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))
	12.8%	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
	2.0%	(/.f64 (+.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (neg.f64 (*.f64 x x)))
	30.8%	(/.f64 (.f64 (fma.f64 y z x) (-.f64 x (.f64 y z))) (fma.f64 y z x))
	1.9%	(/.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) #s(literal 0 binary64))))
	7.1%	(/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
	9.7%	(/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 x x)))
	20.4%	(/.f64 (*.f64 x x) x)
	34.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z x) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (.f64 (.f64 y z) (.f64 y z)) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 x))))
	1.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 (.f64 x (.f64 x x)) (*.f64 x x)))))
	20.3%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
	8.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))))
✓	37.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	5.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	12.7%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x x)))
	20.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))
✓	52.0%	(-.f64 x (*.f64 z y))
	0.8%	(.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
	3.3%	(.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))
	46.9%	(*.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal -1 binary64)) (neg.f64 x))
	56.4%	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (cos.f64 y)))
	17.3%	(.f64 (/.f64 (.f64 z y) x) (neg.f64 x))
	9.6%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
	1.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) (fma.f64 y (/.f64 z x) #s(literal -1 binary64))))
	20.3%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x))
	89.8%	(.f64 (-.f64 (.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)) z)
	2.0%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (.f64 x (*.f64 x x)))
	32.6%	(*.f64 z (/.f64 x z))
✓	89.8%	(.f64 z (-.f64 (.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
	59.1%	(.f64 z (.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 x z) (/.f64 x z))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))))
	46.5%	(.f64 z (.f64 x (/.f64 (cos.f64 y) z)))
	45.1%	(*.f64 z (neg.f64 (sin.f64 y)))
	17.7%	(*.f64 z (neg.f64 y))
	41.3%	(*.f64 y (-.f64 (/.f64 x y) z))
	36.1%	(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (fma.f64 (.f64 y (.f64 y y)) #s(literal -1/720 binary64) (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	36.1%	(.f64 x (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 (.f64 y y) #s(literal -1/720 binary64)))) #s(literal 1 binary64)))
	35.5%	(.f64 x (/.f64 (.f64 z (sin.f64 y)) (neg.f64 x)))
	70.7%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (/.f64 x (sin.f64 y)))))
✓	56.6%	(*.f64 x (cos.f64 y))
	13.6%	(neg.f64 (fma.f64 x (*.f64 y (/.f64 z x)) x))
	30.0%	(neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (sin.f64 y))))
	5.0%	(neg.f64 x)
✓	37.9%	x

Compiler

Compiled 2 333 to 846 computations (63.7% saved)

regimes173.0ms (1.3%)

Memory

19.1MiB live, 172.9MiB allocated

Counts

95 → 1

Calls

Call 1

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

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

Calls

4 calls:

68.0ms	y
46.0ms	x
28.0ms	z
26.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes174.0ms (1.4%)

Memory

25.3MiB live, 137.8MiB allocated

Counts

77 → 1

Calls

Call 1

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

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

Calls

4 calls:

86.0ms	y
40.0ms	z
24.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
20.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes102.0ms (0.8%)

Memory

-30.9MiB live, 179.6MiB allocated

Counts

76 → 3

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	y
24.0ms	x
22.0ms	z
20.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
88.2%	3	`x`
84.3%	3	`y`
88.8%	3	`z`
80.4%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes84.0ms (0.7%)

Memory

16.1MiB live, 176.5MiB allocated

Counts

69 → 5

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	z
21.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
19.0ms	y
19.0ms	x

Results

Accuracy	Segments	Branch
62.4%	4	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
83.7%	5	`y`
73.4%	3	`x`
77.1%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes133.0ms (1%)

Memory

-18.1MiB live, 96.7MiB allocated

Counts

67 → 3

Calls

Call 1

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

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

Calls

3 calls:

64.0ms	z
47.0ms	y
19.0ms	x

Results

Accuracy	Segments	Branch
65.2%	3	`x`
65.9%	3	`z`
72.1%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes78.0ms (0.6%)

Memory

-1.3MiB live, 156.7MiB allocated

Counts

66 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	y
19.0ms	z
18.0ms	x
18.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
52.0%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
52.0%	1	`x`
52.0%	1	`z`
52.0%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory

25.4MiB live, 25.4MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
41.9%	2	`z`
37.9%	1	`y`
41.9%	3	`x`
37.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes26.0ms (0.2%)

Memory

-43.7MiB live, 8.8MiB allocated

Accuracy

Total -23.2b remaining (-58.5%)

Threshold costs -23.2b (-58.5%)

Counts

3 → 1

Calls

Call 1

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

Outputs
x

Calls

2 calls:

23.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
37.9%	1	`x`
37.9%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch24.0ms (0.2%)

Memory

26.8MiB live, 26.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.4305548731124944e-43	5.663892069072542e-41
6.0ms	-2.139756901520736e+35	-1.5669877741825493e+35

Samples

16.0ms

176×

valid

Compiler

Compiled 235 to 179 computations (23.8% saved)

Precisions

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

ival-cos: 5.0ms (43.1% of total)

ival-sin: 4.0ms (34.5% of total)

ival-mult: 2.0ms (17.3% of total)

ival-sub: 1.0ms (8.6% of total)

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

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

bsearch1.9s (14.7%)

Memory

-19.3MiB live, 132.9MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
910.0ms	2.857758992809847e+170	4.172394648060944e+180
18.0ms	887602.4592445394	2587505572.544744
935.0ms	-176003111.80955875	-9.436977967332939e-9
9.0ms	-2.1655875947862835e+233	-1.1301757135221949e+233

Samples

935.0ms

512×

valid

Compiler

Compiled 757 to 538 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 919.0ms

ival-cos: 897.0ms (97.6% of total)

ival-sin: 13.0ms (1.4% of total)

ival-mult: 6.0ms (0.7% of total)

ival-sub: 2.0ms (0.2% of total)

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

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

bsearch28.0ms (0.2%)

Memory

19.9MiB live, 59.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.00030959248037435897	887602.4592445394
10.0ms	-176003111.80955875	-9.436977967332939e-9

Samples

15.0ms

240×

valid

Compiler

Compiled 528 to 356 computations (32.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-cos: 3.0ms (32.3% of total)

ival-mult: 3.0ms (32.3% of total)

ival-sin: 2.0ms (21.5% of total)

ival-sub: 1.0ms (10.8% of total)

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

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

bsearch18.0ms (0.1%)

Memory

14.4MiB live, 52.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	7.608711610378833e+95	4.399895928877246e+98

Samples

10.0ms

128×

valid

Compiler

Compiled 119 to 94 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 3.0ms (40.9% of total)

ival-mult: 2.0ms (27.2% of total)

ival-sin: 2.0ms (27.2% of total)

ival-sub: 1.0ms (13.6% of total)

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

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

simplify10.0ms (0.1%)

Memory

-6.7MiB live, 32.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	137
1	85	137
2	105	137
3	112	137
4	114	137

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -159999999999999991292036957926850560 binary64)) (-.f64 (.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 1945901537969871/6277101735386680763835789423207666416102355444464034512896 binary64)) (.f64 x (cos.f64 y)) (-.f64 (.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -184999999999999991832624650827148528536058180587531739142222812206505273305717754250334410837321703917029604768940243048840690683493514411117612981742135180599658713246401706502495304447297146127326617854304250004454716537981512974336 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal -5476377146882523/144115188075855872 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 900000 binary64)) (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) (if (<=.f64 y #s(literal 309999999999999998260161540554162421817533774043394027448761781335193384474342994331099339071572104819487719313361468913026064918002224075870637014801164319392263395403088686743552 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y))))))
(if (<=.f64 y #s(literal -1080863910568919/4503599627370496 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 1261007895663739/18014398509481984 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) (.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(if (<=.f64 z #s(literal 68000000000000001967739277541663315791857993223058414606111147710223960221898003156906676028702720 binary64)) x (neg.f64 (*.f64 y z)))
x

Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 (sin.f64 y) z))
(if (<=.f64 z #s(literal -159999999999999991292036957926850560 binary64)) (-.f64 (.f64 x #s(literal 1 binary64)) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 1945901537969871/6277101735386680763835789423207666416102355444464034512896 binary64)) (.f64 x (cos.f64 y)) (-.f64 (.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -159999999999999991292036957926850560 binary64)) (-.f64 x (.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 1945901537969871/6277101735386680763835789423207666416102355444464034512896 binary64)) (.f64 x (cos.f64 y)) (-.f64 x (*.f64 (sin.f64 y) z))))
(if (<=.f64 y #s(literal -184999999999999991832624650827148528536058180587531739142222812206505273305717754250334410837321703917029604768940243048840690683493514411117612981742135180599658713246401706502495304447297146127326617854304250004454716537981512974336 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal -5476377146882523/144115188075855872 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (if (<=.f64 y #s(literal 900000 binary64)) (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) (if (<=.f64 y #s(literal 309999999999999998260161540554162421817533774043394027448761781335193384474342994331099339071572104819487719313361468913026064918002224075870637014801164319392263395403088686743552 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (.f64 x (cos.f64 y))))))
(if (<=.f64 y #s(literal -184999999999999991832624650827148528536058180587531739142222812206505273305717754250334410837321703917029604768940243048840690683493514411117612981742135180599658713246401706502495304447297146127326617854304250004454716537981512974336 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal -5476377146882523/144115188075855872 binary64)) (neg.f64 (.f64 (sin.f64 y) z)) (if (<=.f64 y #s(literal 900000 binary64)) (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) (if (<=.f64 y #s(literal 309999999999999998260161540554162421817533774043394027448761781335193384474342994331099339071572104819487719313361468913026064918002224075870637014801164319392263395403088686743552 binary64)) (neg.f64 (.f64 (sin.f64 y) z)) (.f64 x (cos.f64 y))))))
(if (<=.f64 y #s(literal -1080863910568919/4503599627370496 binary64)) (.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 1261007895663739/18014398509481984 binary64)) (fma.f64 y (fma.f64 y (fma.f64 z (.f64 y #s(literal 1/6 binary64)) (.f64 x #s(literal -1/2 binary64))) (neg.f64 z)) x) (.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(if (<=.f64 z #s(literal 68000000000000001967739277541663315791857993223058414606111147710223960221898003156906676028702720 binary64)) x (neg.f64 (*.f64 y z)))
(if (<=.f64 z #s(literal 68000000000000001967739277541663315791857993223058414606111147710223960221898003156906676028702720 binary64)) x (*.f64 y (neg.f64 z)))
x

soundness1.2s (9.1%)

Memory

-14.1MiB live, 568.8MiB allocated

Rules

12 044×	`lower-fma.f64`
12 044×	`lower-fma.f32`
10 986×	`lower-fma.f64`
10 986×	`lower-fma.f32`
7 910×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	143
0	54	141
1	201	141
2	1521	141
0	8340	141
0	97	624
1	292	619
2	837	613
3	2075	607
4	3601	607
5	6258	607
0	8452	586
0	604	5579
1	2062	5411
2	7610	5374
0	8020	5087
0	8	19
0	13	19
1	33	19
2	210	19
3	1964	19
0	8379	19

Stop Event

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

Compiler

Compiled 285 to 149 computations (47.7% saved)

preprocess116.0ms (0.9%)

Memory: -16.3MiB live, 136.4MiB allocated
Compiler: Compiled 304 to 114 computations (62.5% 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%)

sample1.5s (11.4%)

preprocess51.0ms (0.4%)

explain113.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify16.0ms (0.1%)

localize37.0ms (0.3%)

series7.0ms (0.1%)

rewrite522.0ms (4.1%)

simplify349.0ms (2.7%)

eval46.0ms (0.4%)

prune47.0ms (0.4%)

simplify404.0ms (3.1%)

localize192.0ms (1.5%)

series58.0ms (0.5%)

rewrite637.0ms (5%)

simplify717.0ms (5.6%)

eval247.0ms (1.9%)

prune162.0ms (1.3%)

simplify227.0ms (1.8%)

localize108.0ms (0.8%)

series39.0ms (0.3%)

rewrite434.0ms (3.4%)

simplify825.0ms (6.4%)

eval167.0ms (1.3%)

prune186.0ms (1.4%)

simplify198.0ms (1.5%)

localize110.0ms (0.9%)

series9.0ms (0.1%)

rewrite286.0ms (2.2%)

simplify410.0ms (3.2%)

eval302.0ms (2.4%)

prune452.0ms (3.5%)

regimes173.0ms (1.3%)

regimes174.0ms (1.4%)

regimes102.0ms (0.8%)

regimes84.0ms (0.7%)

regimes133.0ms (1%)

regimes78.0ms (0.6%)

regimes11.0ms (0.1%)

regimes26.0ms (0.2%)

bsearch24.0ms (0.2%)

bsearch1.9s (14.7%)

bsearch28.0ms (0.2%)

bsearch18.0ms (0.1%)

simplify10.0ms (0.1%)

soundness1.2s (9.1%)

preprocess116.0ms (0.9%)

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