Metrics for Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, B

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (12%)

Memory

2.9MiB live, 880.9MiB allocated

Samples

1.1s	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 765.0ms

ival-cos: 281.0ms (36.7% of total)

ival-sin: 256.0ms (33.4% of total)

ival-mult: 120.0ms (15.7% of total)

ival-add: 66.0ms (8.6% of total)

ival-sub: 34.0ms (4.4% of total)

ival-true: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess115.0ms (1%)

Memory

8.0MiB live, 85.0MiB allocated

Algorithm

2×	egg-herbie

Rules

400×	`accelerator-lowering-fma.f32`
400×	`accelerator-lowering-fma.f64`
392×	`sub-neg`
382×	`cancel-sign-sub-inv`
318×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	99
1	105	93
2	259	92
3	609	92
4	1220	92
5	1646	92
6	1944	92
7	2205	92
8	2228	92
0	8	9
1	17	9
2	37	9
3	61	9
4	92	9
5	145	9
6	257	9
7	389	9
8	472	9
9	520	9
10	550	9
0	550	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (+ x (cos y)) (* z (sin y)))

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

Call 2

Inputs
(- (+ x (cos y)) (* z (sin y)))
(- (+ (neg x) (cos y)) (* z (sin y)))
(- (+ x (cos (neg y))) (* z (sin (neg y))))
(- (+ x (cos y)) (* (neg z) (sin y)))
(neg (- (+ (neg x) (cos y)) (* z (sin y))))
(neg (- (+ x (cos (neg y))) (* z (sin (neg y)))))
(neg (- (+ x (cos y)) (* (neg z) (sin y))))
(- (+ y (cos x)) (* z (sin x)))
(- (+ z (cos y)) (* x (sin y)))
(- (+ x (cos z)) (* y (sin z)))

Outputs
(- (+ x (cos y)) (* z (sin y)))
(- (+ (neg x) (cos y)) (* z (sin y)))
(- (- (cos y) x) (* z (sin y)))
(- (+ x (cos (neg y))) (* z (sin (neg y))))
(+ (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* (neg z) (sin y)))
(+ (+ x (cos y)) (* z (sin y)))
(neg (- (+ (neg x) (cos y)) (* z (sin y))))
(+ (* z (sin y)) (- x (cos y)))
(neg (- (+ x (cos (neg y))) (* z (sin (neg y)))))
(- (* (sin y) (neg z)) (+ x (cos y)))
(neg (- (+ x (cos y)) (* (neg z) (sin y))))
(- (* (sin y) (neg z)) (+ x (cos y)))
(- (+ y (cos x)) (* z (sin x)))
(- (+ z (cos y)) (* x (sin y)))
(- (+ (cos y) z) (* x (sin y)))
(- (+ x (cos z)) (* y (sin z)))

explain174.0ms (1.5%)

Memory

18.1MiB live, 256.8MiB allocated

FPErrors

Click to see full error table

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

92.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-sin: 27.0ms (40.4% of total)

ival-add: 22.0ms (32.9% of total)

ival-cos: 11.0ms (16.4% of total)

ival-mult: 3.0ms (4.5% of total)

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

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

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.5MiB live, 2.5MiB 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)

simplify22.0ms (0.2%)

Memory

11.5MiB live, 50.8MiB 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

400×	`accelerator-lowering-fma.f32`
400×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
120×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	17	24
2	37	24
3	61	24
4	92	24
5	145	24
6	257	24
7	389	24
8	472	24
9	520	24
10	550	24
0	550	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
x
(cos y)
y
(* z (sin y))
z
(sin y)

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

localize99.0ms (0.9%)

Memory

-9.5MiB live, 68.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	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))

Samples

90.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-add: 67.0ms (81.5% of total)

ival-cos: 6.0ms (7.3% of total)

ival-sin: 6.0ms (7.3% of total)

ival-mult: 2.0ms (2.4% of total)

ival-sub: 1.0ms (1.2% of total)

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

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

series42.0ms (0.4%)

Memory

-22.4MiB live, 17.9MiB allocated

Counts

5 → 108

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
35.0ms	y	@	0	(sin y)
1.0ms	x	@	0	(- (+ x (cos y)) (* z (sin y)))
1.0ms	z	@	0	(* z (sin y))
1.0ms	z	@	0	(- (+ x (cos y)) (* z (sin y)))
0.0ms	y	@	inf	(- (+ x (cos y)) (* z (sin y)))

rewrite309.0ms (2.7%)

Memory

16.3MiB live, 613.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 620×	`-lowering-.f32`
4 620×	`-lowering-.f64`
4 548×	`accelerator-lowering-fma.f32`
4 548×	`accelerator-lowering-fma.f64`
2 418×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	42	21
2	383	21
3	5636	21
0	8230	21

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 188

Calls

Call 1

Inputs
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(cos y)
(* z (sin y))
(sin y)

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

simplify362.0ms (3.2%)

Memory

14.0MiB live, 698.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 396×	`accelerator-lowering-fma.f32`
12 396×	`accelerator-lowering-fma.f64`
3 376×	`-lowering-.f32`
3 376×	`-lowering-.f64`
2 858×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	674
1	334	669
2	869	661
3	2601	657
4	5310	657
5	7449	657
0	8079	629

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval35.0ms (0.3%)

Memory: 4.6MiB live, 118.7MiB allocated
Compiler: Compiled 7 444 to 625 computations (91.6% saved)

prune44.0ms (0.4%)

Memory

-20.6MiB live, 145.9MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	283	13	296
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	284	13	297

Accuracy

100.0%

Counts

297 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.6%	(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
▶	54.0%	(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))
	57.1%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	62.3%	(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
	69.6%	(-.f64 x (*.f64 z (sin.f64 y)))
	73.6%	(+.f64 (cos.f64 y) x)
	62.6%	(+.f64 x #s(literal 1 binary64))
	52.6%	(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
	60.4%	(.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
	99.7%	(.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))))
▶	28.1%	(neg.f64 (*.f64 z (sin.f64 y)))
▶	43.4%	x

Compiler

Compiled 386 to 236 computations (38.9% saved)

simplify566.0ms (4.9%)

Memory

0.1MiB live, 947.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	320	(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
✓	cost-diff	6592	(-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(neg.f64 (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 y #s(literal -1/2 binary64)) z)
✓	cost-diff	0	(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))

Rules

26 922×	`accelerator-lowering-fma.f32`
26 922×	`accelerator-lowering-fma.f64`
4 050×	`-lowering-.f32`
4 050×	`-lowering-.f64`
2 134×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	211
1	79	209
2	196	209
3	659	209
4	1936	205
5	4160	203
6	6686	203
0	8186	191

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize199.0ms (1.7%)

Memory

1.1MiB live, 443.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
✓	accuracy	89.1%	(.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓	accuracy	82.4%	(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
✓	accuracy	76.3%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(neg.f64 (*.f64 z (sin.f64 y)))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	100.0%	(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 (*.f64 y #s(literal -1/2 binary64)) z)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))))
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))

Samples

49.0ms	134×	0	valid
44.0ms	74×	1	valid
28.0ms	43×	2	valid
5.0ms	5×	3	valid

Compiler

Compiled 209 to 33 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-cos: 36.0ms (37.4% of total)

ival-mult: 14.0ms (14.5% of total)

ival-add: 13.0ms (13.5% of total)

ival-sin: 9.0ms (9.3% of total)

ival-div: 9.0ms (9.3% of total)

ival-sub: 7.0ms (7.3% of total)

adjust: 7.0ms (7.3% of total)

exact: 1.0ms (1% of total)

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

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

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

series114.0ms (1%)

Memory

4.6MiB live, 84.9MiB allocated

Counts

16 → 372

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (+ (cos y) (- x (* z (sin y))))))>
#<alt (/ 1 (+ (cos y) (- x (* z (sin y)))))>
#<alt (+ (cos y) (- x (* z (sin y))))>
#<alt (cos y)>
#<alt (+ (* y (- (* y -1/2) z)) (+ x 1))>
#<alt (- (* y -1/2) z)>
#<alt (* y -1/2)>
#<alt (+ x 1)>
#<alt (neg (* z (sin y)))>
#<alt (* z (sin y))>
#<alt (sin y)>
#<alt (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y))))))>
#<alt (+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x)>
#<alt (- 1/2 (* 1/2 (cos (+ y y))))>
#<alt (+ (* 1/2 (cos (+ y y))) 1/2)>
#<alt (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))>

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

Calls

93 calls:

Time	Variable		Point	Expression
67.0ms	y	@	0	(* y -1/2)
10.0ms	z	@	0	(* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))
3.0ms	y	@	0	(+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x)
2.0ms	z	@	inf	(+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x)
2.0ms	y	@	-inf	(+ (* (- (+ (* 1/2 (cos (+ y y))) 1/2) (* (* z z) (- 1/2 (* 1/2 (cos (+ y y)))))) (/ 1 (+ (* z (sin y)) (cos y)))) x)

rewrite385.0ms (3.4%)

Memory

28.6MiB live, 544.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 508×	`-lowering-.f32`
4 508×	`-lowering-.f64`
4 258×	`/-lowering-/.f32`
4 258×	`/-lowering-/.f64`
3 038×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	144
1	220	110
2	1998	110
0	8509	108

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 625

Calls

Call 1

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

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

simplify428.0ms (3.7%)

Memory

-6.1MiB live, 587.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 996×	`accelerator-lowering-fma.f32`
8 996×	`accelerator-lowering-fma.f64`
5 416×	`-lowering-.f32`
5 416×	`-lowering-.f64`
4 480×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	689	5784
1	2175	5623
2	7208	5566
0	8074	5241

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

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

eval152.0ms (1.3%)

Memory: 27.8MiB live, 288.9MiB allocated
Compiler: Compiled 35 552 to 2 615 computations (92.6% saved)

prune140.0ms (1.2%)

Memory

-34.7MiB live, 295.5MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1 043	19	1 062
Fresh	3	5	8
Picked	3	2	5
Done	0	0	0
Total	1 049	26	1 075

Accuracy

100.0%

Counts

1 075 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.2%	(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
	41.3%	(fma.f64 y (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (neg.f64 z))) (fma.f64 y #s(literal -1/2 binary64) z)) (+.f64 x #s(literal 1 binary64)))
	31.8%	(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 z (*.f64 z z))))) (+.f64 x #s(literal 1 binary64)))
	9.0%	(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z (neg.f64 z))) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
▶	57.2%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
	63.6%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	73.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))))
	62.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
	28.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
▶	57.1%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	62.3%	(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
	69.6%	(-.f64 x (*.f64 z (sin.f64 y)))
	73.6%	(+.f64 (cos.f64 y) x)
▶	62.6%	(+.f64 x #s(literal 1 binary64))
	21.3%	(.f64 (.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y)))
	19.8%	(.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
▶	88.4%	(*.f64 z (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)))
	11.1%	(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
	10.9%	(.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
▶	7.1%	(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
	11.5%	(*.f64 y (neg.f64 z))
	2.7%	(.f64 #s(literal -1/2 binary64) (.f64 y y))
	10.9%	(neg.f64 (.f64 z (fma.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)) (.f64 y (*.f64 y y)) y)))
✓	28.1%	(neg.f64 (*.f64 z (sin.f64 y)))
	10.9%	(neg.f64 (.f64 y (fma.f64 z (.f64 y (*.f64 y #s(literal -1/6 binary64))) z)))
✓	43.4%	x

Compiler

Compiled 750 to 491 computations (34.5% saved)

simplify202.0ms (1.8%)

Memory

3.9MiB live, 312.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	cost-diff	0	(/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(fma.f64 y (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
✓	cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(-.f64 #s(literal -1/2 binary64) (/.f64 z y))
✓	cost-diff	0	(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
✓	cost-diff	704	(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x (cos.f64 y))
✓	cost-diff	0	(/.f64 (+.f64 x (cos.f64 y)) z)
✓	cost-diff	0	(-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y))
✓	cost-diff	704	(*.f64 z (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)))

Rules

3 798×	`accelerator-lowering-fma.f32`
3 798×	`accelerator-lowering-fma.f64`
3 078×	`-lowering-.f32`
3 078×	`-lowering-.f64`
1 974×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	150
1	55	150
2	117	150
3	250	150
4	466	148
5	740	144
6	1313	144
7	3267	144
8	5734	144
9	7571	144
0	8072	138

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize86.0ms (0.8%)

Memory

21.8MiB live, 137.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 z (sin.f64 y))
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
✓	accuracy	97.8%	(fma.f64 y (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	91.5%	(/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(-.f64 #s(literal -1/2 binary64) (/.f64 z y))
✓	accuracy	100.0%	(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
✓	accuracy	89.4%	(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y))
✓	accuracy	99.9%	(/.f64 (+.f64 x (cos.f64 y)) z)
✓	accuracy	88.4%	(*.f64 z (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)))

Samples

57.0ms

256×

valid

Compiler

Compiled 150 to 27 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 9.0ms (22.5% of total)

ival-mult: 8.0ms (20% of total)

ival-add: 7.0ms (17.5% of total)

ival-sin: 6.0ms (15% of total)

ival-cos: 6.0ms (15% of total)

ival-sub: 3.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.5%)

Memory

-38.6MiB live, 61.6MiB allocated

Counts

17 → 420

Calls

Call 1

Inputs
#<alt (* z (- (/ (+ x (cos y)) z) (sin y)))>
#<alt (- (/ (+ x (cos y)) z) (sin y))>
#<alt (/ (+ x (cos y)) z)>
#<alt (+ x (cos y))>
#<alt (+ x 1)>
#<alt (* y (- -1/2 (/ z y)))>
#<alt (* y (* y (- -1/2 (/ z y))))>
#<alt (- -1/2 (/ z y))>
#<alt (/ z y)>
#<alt (* (+ 1 x) (+ 1 x))>
#<alt (/ 1 (+ (* y (/ z (* (+ 1 x) (+ 1 x)))) (/ 1 (+ 1 x))))>
#<alt (+ (* y (/ z (* (+ 1 x) (+ 1 x)))) (/ 1 (+ 1 x)))>
#<alt (/ z (* (+ 1 x) (+ 1 x)))>
#<alt (- (cos y) (* z (sin y)))>
#<alt (cos y)>
#<alt (* z (sin y))>
#<alt (sin y)>

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

Calls

105 calls:

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

rewrite350.0ms (3.1%)

Memory

42.1MiB live, 551.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 396×	`/-lowering-/.f32`
5 396×	`/-lowering-/.f64`
4 390×	`-lowering-.f32`
4 390×	`-lowering-.f64`
3 606×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	116
1	168	116
2	1584	116
0	8515	112

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1 051

Calls

Call 1

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

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

simplify805.0ms (7%)

Memory

-27.0MiB live, 490.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 934×	`accelerator-lowering-fma.f32`
7 934×	`accelerator-lowering-fma.f64`
5 430×	`-lowering-.f32`
5 430×	`-lowering-.f64`
3 400×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	608	4410
1	1910	4296
2	5891	4225
0	8236	4006

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

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

eval638.0ms (5.6%)

Memory: 17.9MiB live, 361.7MiB allocated
Compiler: Compiled 43 058 to 5 137 computations (88.1% saved)

prune518.0ms (4.5%)

Memory

-11.0MiB live, 526.2MiB allocated

Pruning

39 alts after pruning (35 fresh and 4 done)

	Pruned	Kept	Total
New	1 477	20	1 497
Fresh	4	15	19
Picked	3	2	5
Done	0	2	2
Total	1 484	39	1 523

Accuracy

100.0%

Counts

1 523 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.2%	(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
	31.8%	(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 z (*.f64 z z))))) (+.f64 x #s(literal 1 binary64)))
	29.7%	(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
▶	90.1%	(fma.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) x)
	9.0%	(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z (neg.f64 z))) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
	51.8%	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (+.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)))
	2.6%	(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y z))
	51.7%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
	45.4%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
	57.5%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
	20.9%	(/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))
	73.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))))
	62.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
	28.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
✓	57.1%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	62.3%	(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
	69.6%	(-.f64 x (*.f64 z (sin.f64 y)))
	73.6%	(+.f64 (cos.f64 y) x)
✓	62.6%	(+.f64 x #s(literal 1 binary64))
	31.3%	(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
	38.8%	(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
	6.9%	(.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) (.f64 y y))
	19.8%	(.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
	32.0%	(*.f64 z (/.f64 x z))
	57.1%	(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))
	51.1%	(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))
	11.1%	(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
	10.9%	(.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
	2.9%	(.f64 y (.f64 y (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 z z) (.f64 y y))) (+.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
	7.4%	(.f64 y (.f64 y (/.f64 z (neg.f64 y))))
▶	7.1%	(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y z)))))
	2.7%	(.f64 y (.f64 y #s(literal -1/2 binary64)))
	11.5%	(*.f64 y (neg.f64 z))
	10.9%	(neg.f64 (.f64 z (fma.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)) (.f64 y (*.f64 y y)) y)))
✓	28.1%	(neg.f64 (*.f64 z (sin.f64 y)))
▶	10.9%	(neg.f64 (.f64 y (fma.f64 z (.f64 y (*.f64 y #s(literal -1/6 binary64))) z)))
▶	31.9%	(cos.f64 y)
✓	43.4%	x
▶	21.8%	#s(literal 1 binary64)

Compiler

Compiled 1 072 to 691 computations (35.5% saved)

simplify224.0ms (2%)

Memory

14.4MiB live, 442.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	cost-diff	0	(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y z)))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 y z))
✓	cost-diff	704	(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y z))))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal -1/6 binary64)))
✓	cost-diff	0	(fma.f64 z (.f64 y (.f64 y #s(literal -1/6 binary64))) z)
✓	cost-diff	0	(.f64 y (fma.f64 z (.f64 y (*.f64 y #s(literal -1/6 binary64))) z))
✓	cost-diff	128	(neg.f64 (.f64 y (fma.f64 z (.f64 y (*.f64 y #s(literal -1/6 binary64))) z)))
✓	cost-diff	0	(/.f64 (cos.f64 y) z)
✓	cost-diff	0	(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
✓	cost-diff	704	(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x))
✓	cost-diff	896	(fma.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) x)

Rules

6 164×	`accelerator-lowering-fma.f32`
6 164×	`accelerator-lowering-fma.f64`
3 596×	`-lowering-.f32`
3 596×	`-lowering-.f64`
2 206×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	133
1	64	133
2	197	124
3	596	112
4	1477	112
5	4416	108
6	6869	108
0	8164	106

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize396.0ms (3.5%)

Memory

-32.3MiB live, 195.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	accuracy	100.0%	(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y z)))))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	89.4%	(*.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y z))))
✓	accuracy	99.9%	(.f64 y (fma.f64 z (.f64 y (*.f64 y #s(literal -1/6 binary64))) z))
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	91.8%	(fma.f64 z (.f64 y (.f64 y #s(literal -1/6 binary64))) z)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(/.f64 (cos.f64 y) z)
✓	accuracy	92.8%	(fma.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) x)
✓	accuracy	86.0%	(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x))

Samples

169.0ms

256×

valid

Compiler

Compiled 131 to 27 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 11.0ms (27% of total)

ival-div: 7.0ms (17.2% of total)

ival-sin: 6.0ms (14.7% of total)

ival-cos: 6.0ms (14.7% of total)

const: 4.0ms (9.8% of total)

ival-add: 2.0ms (4.9% of total)

ival-sub: 2.0ms (4.9% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory

24.0MiB live, 24.0MiB allocated

Counts

14 → 324

Calls

Call 1

Inputs
#<alt (+ (* x (* (- (/ (cos y) z) (sin y)) (/ z x))) x)>
#<alt (* (- (/ (cos y) z) (sin y)) (/ z x))>
#<alt (- (/ (cos y) z) (sin y))>
#<alt (/ (cos y) z)>
#<alt (neg (* y (+ (* z (* y (* y -1/6))) z)))>
#<alt (* y (+ (* z (* y (* y -1/6))) z))>
#<alt (+ (* z (* y (* y -1/6))) z)>
#<alt (* y (* y -1/6))>
#<alt (* y (- -1/2 (/ 1 (/ y z))))>
#<alt (/ 1 (/ y z))>
#<alt (* y (* y (- -1/2 (/ 1 (/ y z)))))>
#<alt (- -1/2 (/ 1 (/ y z)))>
#<alt (cos y)>
#<alt (* y -1/6)>

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

Calls

81 calls:

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

rewrite524.0ms (4.6%)

Memory

36.7MiB live, 851.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 678×	`accelerator-lowering-fma.f32`
9 678×	`accelerator-lowering-fma.f64`
5 874×	`-lowering-.f32`
5 874×	`-lowering-.f64`
3 252×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	111
1	139	103
2	1139	102
0	9098	99

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 631

Calls

Call 1

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

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

simplify386.0ms (3.4%)

Memory

-24.7MiB live, 723.9MiB allocated

Algorithm

1×	egg-herbie

Rules

14 490×	`accelerator-lowering-fma.f32`
14 490×	`accelerator-lowering-fma.f64`
5 012×	`-lowering-.f32`
5 012×	`-lowering-.f64`
2 816×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	2382
1	579	2367
2	1615	2266
3	4905	2241
0	8177	2158

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval126.0ms (1.1%)

Memory: 21.2MiB live, 354.7MiB allocated
Compiler: Compiled 21 617 to 2 178 computations (89.9% saved)

prune136.0ms (1.2%)

Memory

-8.1MiB live, 264.1MiB allocated

Pruning

45 alts after pruning (39 fresh and 6 done)

	Pruned	Kept	Total
New	959	14	973
Fresh	5	25	30
Picked	3	2	5
Done	0	4	4
Total	967	45	1 012

Accuracy

100.0%

Counts

1 012 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.0%	(fma.f64 (/.f64 z x) (*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) x)
	85.7%	(fma.f64 (.f64 (.f64 x (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x)) z x)
	20.7%	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
	31.8%	(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 z (*.f64 z z))))) (+.f64 x #s(literal 1 binary64)))
	29.7%	(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
	73.5%	(fma.f64 x (/.f64 (cos.f64 y) x) x)
	62.5%	(fma.f64 x (/.f64 #s(literal 1 binary64) x) x)
	61.3%	(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) x)
	61.0%	(fma.f64 x (*.f64 (neg.f64 (sin.f64 y)) (/.f64 z x)) x)
	62.5%	(fma.f64 x (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))) x)
	9.0%	(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z (neg.f64 z))) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
	51.8%	(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (+.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)))
	2.6%	(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y z))
	51.7%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
	45.4%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
	57.5%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
	20.9%	(/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))
	62.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
	28.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
✓	57.1%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	62.3%	(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
	69.6%	(-.f64 x (*.f64 z (sin.f64 y)))
	72.3%	(+.f64 (/.f64 (.f64 (.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) x) x)
	73.6%	(+.f64 (cos.f64 y) x)
✓	62.6%	(+.f64 x #s(literal 1 binary64))
	31.3%	(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
	38.8%	(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
	6.9%	(.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) (.f64 y y))
	32.0%	(*.f64 z (/.f64 x z))
	57.1%	(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))
	51.1%	(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))
	2.5%	(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
	11.2%	(.f64 y (fma.f64 (.f64 y (/.f64 #s(literal -1 binary64) y)) z (*.f64 y #s(literal -1/2 binary64))))
	11.1%	(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
	10.9%	(.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
	7.4%	(.f64 y (.f64 y (/.f64 z (neg.f64 y))))
	2.7%	(.f64 y (.f64 y #s(literal -1/2 binary64)))
	11.5%	(*.f64 y (neg.f64 z))
	10.9%	(neg.f64 (.f64 z (fma.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)) (.f64 y (*.f64 y y)) y)))
✓	28.1%	(neg.f64 (*.f64 z (sin.f64 y)))
	10.9%	(neg.f64 (.f64 y (fma.f64 (.f64 (*.f64 y z) #s(literal -1/6 binary64)) y z)))
	2.6%	(neg.f64 (.f64 y (-.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y z)) z) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 z (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 z z) (.f64 z (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
✓	31.9%	(cos.f64 y)
✓	43.4%	x
✓	21.8%	#s(literal 1 binary64)

Compiler

Compiled 1 469 to 653 computations (55.5% saved)

regimes92.0ms (0.8%)

Memory

16.1MiB live, 94.1MiB allocated

Counts

67 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(*.f64 z (/.f64 x z))
(/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (.f64 y (fma.f64 z (.f64 y (*.f64 y #s(literal -1/6 binary64))) z)))
(neg.f64 (.f64 y (fma.f64 (.f64 (*.f64 y z) #s(literal -1/6 binary64)) y z)))
(.f64 y (.f64 y (/.f64 z (neg.f64 y))))
(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) (.f64 y y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y z))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))
(.f64 y (fma.f64 (.f64 y (/.f64 #s(literal -1 binary64) y)) z (*.f64 y #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) x)
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y)))
(fma.f64 y (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (neg.f64 z))) (fma.f64 y #s(literal -1/2 binary64) z)) (+.f64 x #s(literal 1 binary64)))
(neg.f64 (.f64 z (fma.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)) (.f64 y (*.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 y (.f64 y (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 z z) (.f64 y y))) (+.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 z (*.f64 z z))))) (+.f64 x #s(literal 1 binary64)))
(neg.f64 (.f64 y (-.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y z)) z) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 z (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 z z) (.f64 z (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 x (/.f64 (cos.f64 y) x) x)
(fma.f64 x (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))) x)
(fma.f64 x (*.f64 (neg.f64 (sin.f64 y)) (/.f64 z x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))))
(fma.f64 x (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x)) x)
(fma.f64 (/.f64 z x) (*.f64 x (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) x)
(+.f64 (/.f64 (.f64 (.f64 x z) (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) x) x)
(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 z (neg.f64 z))) (+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 (.f64 (.f64 x (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x)) z x)
(.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 #s(literal -1/2 binary64) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 z) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (cos.f64 y))) x)
(.f64 (-.f64 (.f64 x x) (pow.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 z (+.f64 x (cos.f64 y))) #s(literal -2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) z) (+.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y)))
(.f64 (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)) (.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (fma.f64 z (sin.f64 y) x)))))

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

Calls

4 calls:

27.0ms	y
27.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
18.0ms	x
18.0ms	z

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)

regimes92.0ms (0.8%)

Memory

-23.9MiB live, 93.7MiB allocated

Counts

51 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(*.f64 z (/.f64 x z))
(/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (.f64 y (fma.f64 z (.f64 y (*.f64 y #s(literal -1/6 binary64))) z)))
(neg.f64 (.f64 y (fma.f64 (.f64 (*.f64 y z) #s(literal -1/6 binary64)) y z)))
(.f64 y (.f64 y (/.f64 z (neg.f64 y))))
(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) (.f64 y y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y z))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))
(.f64 y (fma.f64 (.f64 y (/.f64 #s(literal -1 binary64) y)) z (*.f64 y #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) x)
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y)))
(fma.f64 y (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (neg.f64 z))) (fma.f64 y #s(literal -1/2 binary64) z)) (+.f64 x #s(literal 1 binary64)))
(neg.f64 (.f64 z (fma.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)) (.f64 y (*.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 y (.f64 y (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 z z) (.f64 y y))) (+.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 z (*.f64 z z))))) (+.f64 x #s(literal 1 binary64)))
(neg.f64 (.f64 y (-.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y z)) z) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 z (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 z z) (.f64 z (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(neg.f64 (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(fma.f64 x (/.f64 (cos.f64 y) x) x)
(fma.f64 x (neg.f64 (*.f64 z (/.f64 (sin.f64 y) x))) x)
(fma.f64 x (*.f64 (neg.f64 (sin.f64 y)) (/.f64 z x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))

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

Calls

4 calls:

45.0ms	x
16.0ms	z
15.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
14.0ms	y

Results

Accuracy	Segments	Branch
98.1%	3	`x`
87.7%	3	`y`
96.3%	3	`z`
99.6%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes59.0ms (0.5%)

Memory

24.8MiB live, 99.8MiB allocated

Counts

44 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(*.f64 z (/.f64 x z))
(/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (.f64 y (fma.f64 z (.f64 y (*.f64 y #s(literal -1/6 binary64))) z)))
(neg.f64 (.f64 y (fma.f64 (.f64 (*.f64 y z) #s(literal -1/6 binary64)) y z)))
(.f64 y (.f64 y (/.f64 z (neg.f64 y))))
(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) (.f64 y y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y z))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))
(.f64 y (fma.f64 (.f64 y (/.f64 #s(literal -1 binary64) y)) z (*.f64 y #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) x)
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y)))
(fma.f64 y (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (neg.f64 z))) (fma.f64 y #s(literal -1/2 binary64) z)) (+.f64 x #s(literal 1 binary64)))
(neg.f64 (.f64 z (fma.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)) (.f64 y (*.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 y (.f64 y (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 z z) (.f64 y y))) (+.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 z (*.f64 z z))))) (+.f64 x #s(literal 1 binary64)))
(neg.f64 (.f64 y (-.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y z)) z) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 z (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 z z) (.f64 z (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(neg.f64 (*.f64 z (sin.f64 y)))

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

Calls

4 calls:

19.0ms	x
14.0ms	y
12.0ms	z
12.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
81.9%	3	`y`
86.5%	3	`z`
73.6%	1	`x`
73.6%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes36.0ms (0.3%)

Memory

-50.0MiB live, 54.9MiB allocated

Counts

43 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(*.f64 z (/.f64 x z))
(/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (.f64 y (fma.f64 z (.f64 y (*.f64 y #s(literal -1/6 binary64))) z)))
(neg.f64 (.f64 y (fma.f64 (.f64 (*.f64 y z) #s(literal -1/6 binary64)) y z)))
(.f64 y (.f64 y (/.f64 z (neg.f64 y))))
(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) (.f64 y y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y z))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))
(.f64 y (fma.f64 (.f64 y (/.f64 #s(literal -1 binary64) y)) z (*.f64 y #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) x)
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y)))
(fma.f64 y (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (neg.f64 z))) (fma.f64 y #s(literal -1/2 binary64) z)) (+.f64 x #s(literal 1 binary64)))
(neg.f64 (.f64 z (fma.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)) (.f64 y (*.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 y (.f64 y (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 z z) (.f64 y y))) (+.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 z (*.f64 z z))))) (+.f64 x #s(literal 1 binary64)))
(neg.f64 (.f64 y (-.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y z)) z) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 z (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 z z) (.f64 z (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)

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

Calls

2 calls:

21.0ms	y
13.0ms	z

Results

Accuracy	Segments	Branch
81.9%	3	`y`
79.9%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes50.0ms (0.4%)

Memory

26.2MiB live, 103.2MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(*.f64 z (/.f64 x z))
(/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (.f64 y (fma.f64 z (.f64 y (*.f64 y #s(literal -1/6 binary64))) z)))
(neg.f64 (.f64 y (fma.f64 (.f64 (*.f64 y z) #s(literal -1/6 binary64)) y z)))
(.f64 y (.f64 y (/.f64 z (neg.f64 y))))
(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) (.f64 y y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y z))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))
(.f64 y (fma.f64 (.f64 y (/.f64 #s(literal -1 binary64) y)) z (*.f64 y #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) x)
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y)))
(fma.f64 y (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (neg.f64 z))) (fma.f64 y #s(literal -1/2 binary64) z)) (+.f64 x #s(literal 1 binary64)))
(neg.f64 (.f64 z (fma.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)) (.f64 y (*.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 y (.f64 y (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 z z) (.f64 y y))) (+.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 z (*.f64 z z))))) (+.f64 x #s(literal 1 binary64)))
(neg.f64 (.f64 y (-.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y z)) z) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 z (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 z z) (.f64 z (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(cos.f64 y)

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

Calls

4 calls:

12.0ms	z
12.0ms	x
11.0ms	y
11.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
74.4%	4	`x`
72.9%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
68.9%	3	`z`
70.9%	3	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes40.0ms (0.4%)

Memory

-0.8MiB live, 79.1MiB allocated

Counts

41 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(.f64 y (.f64 y #s(literal -1/2 binary64)))
(*.f64 z (/.f64 x z))
(/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
(.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y (.f64 y y))))
(.f64 y (.f64 z (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(neg.f64 (.f64 y (fma.f64 z (.f64 y (*.f64 y #s(literal -1/6 binary64))) z)))
(neg.f64 (.f64 y (fma.f64 (.f64 (*.f64 y z) #s(literal -1/6 binary64)) y z)))
(.f64 y (.f64 y (/.f64 z (neg.f64 y))))
(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 z y))))
(.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 z y)) (.f64 y y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 y z))
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x))
(*.f64 z (+.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z)))
(.f64 y (fma.f64 (.f64 y (/.f64 #s(literal -1 binary64) y)) z (*.f64 y #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y z)))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) x)
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 z)))
(.f64 y (.f64 y (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 y y) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 z (/.f64 (+.f64 #s(literal 1 binary64) x) y)) y)))
(fma.f64 y (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 z (neg.f64 z))) (fma.f64 y #s(literal -1/2 binary64) z)) (+.f64 x #s(literal 1 binary64)))
(neg.f64 (.f64 z (fma.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)) (.f64 y (*.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 y (.f64 y (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 z z) (.f64 y y))) (+.f64 #s(literal -1/2 binary64) (/.f64 z y)))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (fma.f64 y #s(literal -1/2 binary64) z) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 z (*.f64 z z))))) (+.f64 x #s(literal 1 binary64)))
(neg.f64 (.f64 y (-.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y z)) z) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (.f64 z (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 z z) (.f64 z (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))

Outputs

(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) x)

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

(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) x)

Calls

3 calls:

15.0ms	x
12.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms	y

Results

Accuracy	Segments	Branch
70.9%	3	`y`
67.6%	3	`x`
62.6%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes10.0ms (0.1%)

Memory

-18.2MiB live, 20.1MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

(+.f64 x #s(literal 1 binary64))

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

(+.f64 x #s(literal 1 binary64))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
70.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs
(+.f64 x #s(literal 1 binary64))
(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
70.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-12.4MiB live, 26.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs
(+.f64 x #s(literal 1 binary64))
(fma.f64 y (neg.f64 z) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))

Calls

3 calls:

3.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
67.0%	3	`x`
62.6%	1	`z`
62.6%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
(+.f64 x #s(literal 1 binary64))

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
62.6%	1	`y`
62.6%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory

-13.2MiB live, 26.2MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

Outputs
x
#s(literal 1 binary64)
x

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
61.9%	3	`x`
43.4%	1	`z`
61.9%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
43.4%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0%)

Memory

23.0MiB live, 23.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

4 calls:

1.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
21.8%	1	`y`
21.8%	1	`z`
21.8%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
21.8%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1307474680354853.0	53417408963781090.0
0.0ms	-3.0594249828066545e+20	-7844207441047.691

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch60.0ms (0.5%)

Memory

-5.0MiB live, 74.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	1.628266887607801e+155	4.970693516657971e+172
15.0ms	-3.5079242566814624e+136	-1.220210970958376e+135

Samples

47.0ms

272×

valid

Compiler

Compiled 304 to 235 computations (22.7% saved)

Precisions

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

ival-cos: 6.0ms (35.9% of total)

ival-sin: 6.0ms (35.9% of total)

ival-mult: 2.0ms (12% of total)

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

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

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

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

bsearch47.0ms (0.4%)

Memory

7.3MiB live, 46.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.7674022074934685e-15	3.629122962428671
30.0ms	-50578990.9455719	-727.4140258673003

Samples

34.0ms

304×

valid

Compiler

Compiled 528 to 375 computations (29% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-add: 11.0ms (41.9% of total)

ival-cos: 6.0ms (22.9% of total)

ival-sin: 6.0ms (22.9% of total)

ival-mult: 2.0ms (7.6% of total)

ival-sub: 1.0ms (3.8% of total)

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

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

bsearch13.0ms (0.1%)

Memory

-36.9MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
13.0ms	0.9878075169386032	0.9999999999942392
0.0ms	-2.0409663479938995	-0.9999473646447156

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch62.0ms (0.5%)

Memory

10.4MiB live, 50.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	6.7674022074934685e-15	3.629122962428671
21.0ms	-267767574912676.5	-50578990.9455719

Samples

49.0ms

304×

valid

Compiler

Compiled 642 to 432 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-cos: 8.0ms (37% of total)

ival-sin: 8.0ms (37% of total)

ival-mult: 2.0ms (9.2% of total)

ival-sub: 1.0ms (4.6% of total)

ival-add: 1.0ms (4.6% of total)

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

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

bsearch48.0ms (0.4%)

Memory

23.8MiB live, 98.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	6.7674022074934685e-15	3.629122962428671
23.0ms	-50578990.9455719	-727.4140258673003

Samples

35.0ms

304×

valid

Compiler

Compiled 509 to 375 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-cos: 11.0ms (46.2% of total)

ival-sin: 8.0ms (33.6% of total)

ival-add: 2.0ms (8.4% of total)

ival-mult: 2.0ms (8.4% of total)

ival-sub: 1.0ms (4.2% of total)

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

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

bsearch60.0ms (0.5%)

Memory

-29.6MiB live, 99.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	4.314854458351445e+22	1.8033794756975954e+27
24.0ms	-267767574912676.5	-50578990.9455719

Samples

41.0ms

272×

valid

Compiler

Compiled 304 to 235 computations (22.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sin: 17.0ms (49.6% of total)

ival-cos: 9.0ms (26.3% of total)

ival-add: 5.0ms (14.6% of total)

ival-mult: 2.0ms (5.8% of total)

ival-sub: 1.0ms (2.9% of total)

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

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

bsearch207.0ms (1.8%)

Memory

1.8MiB live, 76.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.107186876114556e-216	4.617810555832742e-210
161.0ms	-1.184149680696516	-3.659008560642321e-5

Samples

166.0ms	267×	0	valid
1.0ms	1×	3	valid
0.0ms	2×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 287 to 235 computations (18.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-mult: 146.0ms (91% of total)

ival-cos: 6.0ms (3.7% of total)

ival-sin: 5.0ms (3.1% of total)

ival-sub: 1.0ms (0.6% of total)

ival-add: 1.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch37.0ms (0.3%)

Memory

32.9MiB live, 75.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	817.3890490237718	314929.24177378387
16.0ms	-1.184149680696516	-3.659008560642321e-5

Samples

23.0ms

256×

valid

Compiler

Compiled 175 to 158 computations (9.7% saved)

Precisions

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

ival-cos: 6.0ms (37.2% of total)

ival-sin: 6.0ms (37.2% of total)

ival-mult: 2.0ms (12.4% of total)

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

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

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

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

simplify14.0ms (0.1%)

Memory

-3.3MiB live, 34.4MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
16×	`if-if-or-not_binary32`
14×	`*-commutative_binary64`
14×	`sub-neg_binary64`
10×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	234
1	127	234
2	143	234
3	149	234
4	151	234

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -200000000000000000000 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2000000000000000 binary64)) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -17500000000000000058277367943704488451088885510690829805524326393683370054596918613890498620116990796040045677698076335445714191549202432 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 319999999999999980111980684197247189264168051020469755320232101095259474842356800797713759028493779499167993479006148161018408670050767787444156774624496448396328960 binary64)) (+.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -740 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 7493989779944505/144115188075855872 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -2 binary64)) x (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) (cos.f64 y) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -63000000 binary64)) (fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) x) (if (<=.f64 y #s(literal 8106479329266893/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) x)))
(if (<=.f64 y #s(literal -29500 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 8106479329266893/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -8000000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 12500000000000000595591168 binary64)) (-.f64 x (fma.f64 y z #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -7839866231326559/1152921504606846976 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 2665073934689785/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(if (<=.f64 x #s(literal -3602879701896397/4503599627370496 binary64)) x (if (<=.f64 x #s(literal 820 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -200000000000000000000 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2000000000000000 binary64)) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -200000000000000000000 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 2000000000000000 binary64)) (+.f64 x (cos.f64 y)) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -17500000000000000058277367943704488451088885510690829805524326393683370054596918613890498620116990796040045677698076335445714191549202432 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 319999999999999980111980684197247189264168051020469755320232101095259474842356800797713759028493779499167993479006148161018408670050767787444156774624496448396328960 binary64)) (+.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -17500000000000000058277367943704488451088885510690829805524326393683370054596918613890498620116990796040045677698076335445714191549202432 binary64)) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z #s(literal 319999999999999980111980684197247189264168051020469755320232101095259474842356800797713759028493779499167993479006148161018408670050767787444156774624496448396328960 binary64)) (+.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y #s(literal -740 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 7493989779944505/144115188075855872 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y #s(literal -740 binary64)) (+.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 7493989779944505/144115188075855872 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) (+.f64 x (cos.f64 y))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal -2 binary64)) x (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 4458563631096791/4503599627370496 binary64)) (cos.f64 y) (-.f64 x (fma.f64 y z #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -63000000 binary64)) (fma.f64 x (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) x) (if (<=.f64 y #s(literal 8106479329266893/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x)) x)))
(if (<=.f64 y #s(literal -29500 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 8106479329266893/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 z)) x)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -8000000000 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 12500000000000000595591168 binary64)) (-.f64 x (fma.f64 y z #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -7839866231326559/1152921504606846976 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 2665073934689785/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656 binary64)) (fma.f64 y (neg.f64 z) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(if (<=.f64 x #s(literal -3602879701896397/4503599627370496 binary64)) x (if (<=.f64 x #s(literal 820 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

soundness1.3s (11.6%)

Memory

9.4MiB live, 985.9MiB allocated

Rules

14 490×	`accelerator-lowering-fma.f32`
14 490×	`accelerator-lowering-fma.f64`
12 396×	`accelerator-lowering-fma.f32`
12 396×	`accelerator-lowering-fma.f64`
8 996×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	2382
1	579	2367
2	1615	2266
3	4905	2241
0	8177	2158
0	608	4410
1	1910	4296
2	5891	4225
0	8236	4006
0	689	5784
1	2175	5623
2	7208	5566
0	8074	5241
0	118	674
1	334	669
2	869	661
3	2601	657
4	5310	657
5	7449	657
0	8079	629
0	8	21
1	42	21
2	383	21
3	5636	21
0	8230	21

Stop Event

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

Compiler

Compiled 519 to 261 computations (49.7% saved)

preprocess148.0ms (1.3%)

Memory: 3.2MiB live, 177.3MiB allocated
Compiler: Compiled 552 to 176 computations (68.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
1	17	24
2	37	24
3	61	24
4	92	24
5	145	24
6	257	24
7	389	24
8	472	24
9	520	24
10	550	24
0	550	24

Iter	Nodes	Cost
0	8	24
1	17	24
2	37	24
3	61	24
4	92	24
5	145	24
6	257	24
7	389	24
8	472	24
9	520	24
10	550	24
0	550	24

analyze0.0ms (0%)

sample1.4s (12%)

preprocess115.0ms (1%)

explain174.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify22.0ms (0.2%)

localize99.0ms (0.9%)

series42.0ms (0.4%)

rewrite309.0ms (2.7%)

simplify362.0ms (3.2%)

eval35.0ms (0.3%)

prune44.0ms (0.4%)

simplify566.0ms (4.9%)

localize199.0ms (1.7%)

series114.0ms (1%)

rewrite385.0ms (3.4%)

simplify428.0ms (3.7%)

eval152.0ms (1.3%)

prune140.0ms (1.2%)

simplify202.0ms (1.8%)

localize86.0ms (0.8%)

series53.0ms (0.5%)

rewrite350.0ms (3.1%)

simplify805.0ms (7%)

eval638.0ms (5.6%)

prune518.0ms (4.5%)

simplify224.0ms (2%)

localize396.0ms (3.5%)

series17.0ms (0.1%)

rewrite524.0ms (4.6%)

simplify386.0ms (3.4%)

eval126.0ms (1.1%)

prune136.0ms (1.2%)

regimes92.0ms (0.8%)

regimes92.0ms (0.8%)

regimes59.0ms (0.5%)

regimes36.0ms (0.3%)

regimes50.0ms (0.4%)

regimes40.0ms (0.4%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes7.0ms (0.1%)

regimes6.0ms (0%)

bsearch1.0ms (0%)

bsearch60.0ms (0.5%)

bsearch47.0ms (0.4%)

bsearch13.0ms (0.1%)

bsearch62.0ms (0.5%)

bsearch48.0ms (0.4%)

bsearch60.0ms (0.5%)

bsearch207.0ms (1.8%)

bsearch37.0ms (0.3%)

simplify14.0ms (0.1%)

soundness1.3s (11.6%)

preprocess148.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
1	17	24
2	37	24
3	61	24
4	92	24
5	145	24
6	257	24
7	389	24
8	472	24
9	520	24
10	550	24
0	550	24