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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.4s (12.6%)

Memory

-24.6MiB live, 1 132.6MiB allocated

Samples

1.1s	8 254×	0	valid
1.0ms	1×	1	valid
1.0ms	1×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 783.0ms

ival-cos: 310.0ms (39.6% of total)

ival-sin: 288.0ms (36.8% of total)

ival-sub: 80.0ms (10.2% of total)

ival-mult: 54.0ms (6.9% of total)

ival-add: 42.0ms (5.4% of total)

ival-true: 6.0ms (0.8% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

preprocess72.0ms (0.7%)

Memory

9.3MiB live, 49.4MiB allocated

Algorithm

1×	egg-herbie

Rules

400×	`accelerator-lowering-fma.f32`
400×	`accelerator-lowering-fma.f64`
358×	`sub-neg`
352×	`cancel-sign-sub-inv`
302×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	101	84
2	248	83
3	583	83
4	1151	83
5	1530	83
6	1814	83
7	2069	83
8	2092	83
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))

explain175.0ms (1.6%)

Memory

9.4MiB live, 128.2MiB 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

71.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-sin: 34.0ms (62.6% of total)

ival-cos: 11.0ms (20.2% of total)

ival-add: 3.0ms (5.5% of total)

ival-mult: 3.0ms (5.5% of total)

ival-sub: 2.0ms (3.7% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify37.0ms (0.3%)

Memory

-6.2MiB live, 31.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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)

localize50.0ms (0.5%)

Memory

13.3MiB live, 50.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(+.f64 x (cos.f64 y))
✓	accuracy	100.0%	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓	accuracy	99.9%	(*.f64 z (sin.f64 y))

Samples

42.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 6.0ms (37.3% of total)

ival-sin: 5.0ms (31.1% 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)

series6.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB 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
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)))
1.0ms	y	@	inf	(- (+ x (cos y)) (* z (sin y)))
0.0ms	y	@	-inf	(- (+ x (cos y)) (* z (sin y)))

rewrite387.0ms (3.5%)

Memory

-12.5MiB live, 431.3MiB 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))))))
(fma.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64)) (/.f64 (+.f64 x (cos.f64 y)) (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 (.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))) (neg.f64 (.f64 z (sin.f64 y))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))
(fma.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))))) (neg.f64 (*.f64 z (sin.f64 y))))
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(/.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)

simplify531.0ms (4.8%)

Memory

-6.6MiB live, 505.3MiB 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)

eval39.0ms (0.3%)

Memory: 18.3MiB live, 104.6MiB allocated
Compiler: Compiled 7 444 to 625 computations (91.6% saved)

prune40.0ms (0.4%)

Memory

-23.7MiB live, 135.3MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	285	11	296
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	286	11	297

Accuracy

100.0%

Counts

297 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.7%	(fma.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))) (neg.f64 (.f64 z (sin.f64 y))))
	50.4%	(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))))))
	58.5%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	61.3%	(-.f64 x (fma.f64 y z #s(literal -1 binary64)))
	72.2%	(-.f64 x (*.f64 z (sin.f64 y)))
	70.2%	(+.f64 (cos.f64 y) x)
	57.7%	(+.f64 x #s(literal 1 binary64))
▶	49.9%	(+.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))
▶	31.8%	(neg.f64 (*.f64 z (sin.f64 y)))
▶	42.8%	x

Compiler

Compiled 252 to 174 computations (31% saved)

simplify458.0ms (4.1%)

Memory

14.1MiB live, 440.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

8 328×	`accelerator-lowering-fma.f32`
8 328×	`accelerator-lowering-fma.f64`
1 624×	`-lowering-.f32`
1 624×	`-lowering-.f64`
1 304×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	138
1	74	138
2	195	138
3	410	138
4	861	138
5	1851	138
6	3780	138
7	4534	138
8	4852	138
9	5017	138
10	5044	138
11	5072	138
12	5086	138
13	5086	138
14	5136	138
15	5144	138
16	5144	138
17	5470	138
18	5583	138
19	5583	138
0	5583	129

Stop Event

1×	iter limit
1×	saturated

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

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

localize97.0ms (0.9%)

Memory

-3.7MiB live, 241.3MiB allocated

Localize:

Found 13 expressions of interest:

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

Samples

66.0ms

256×

valid

Compiler

Compiled 136 to 29 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 16.0ms (33.1% of total)

ival-add: 7.0ms (14.5% of total)

ival-cos: 7.0ms (14.5% of total)

ival-sin: 6.0ms (12.4% of total)

const: 4.0ms (8.3% of total)

ival-div: 3.0ms (6.2% of total)

ival-sub: 2.0ms (4.1% of total)

ival-neg: 2.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory

7.1MiB live, 85.5MiB allocated

Counts

15 → 408

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

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

Calls

102 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(* z 1/6)
2.0ms	y	@	0	(- x (+ (* y z) -1))
1.0ms	x	@	0	(- x (+ (* y z) -1))
1.0ms	y	@	0	(/ 1 (+ (cos y) (- x (* z (sin y)))))
1.0ms	z	@	inf	(+ 1 (+ (* y (+ (* y (+ (* y (* z 1/6)) -1/2)) (neg z))) x))

rewrite364.0ms (3.3%)

Memory

9.0MiB live, 949.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 846×	`accelerator-lowering-fma.f32`
4 846×	`accelerator-lowering-fma.f64`
4 064×	`-lowering-.f32`
4 064×	`-lowering-.f64`
3 462×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	113
1	182	113
2	1635	113
0	8095	105

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 547

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

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

simplify409.0ms (3.7%)

Memory

7.6MiB live, 700.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 392×	`accelerator-lowering-fma.f32`
7 392×	`accelerator-lowering-fma.f64`
5 524×	`-lowering-.f32`
5 524×	`-lowering-.f64`
2 622×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	499	4413
1	1538	4250
2	4927	4160
0	8185	3950

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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 (* y z))
(- (+ 1 x) (* y z))
(- (+ 1 x) (* y z))
(- (+ 1 x) (* y z))
x
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
(* x (- (+ 1 (/ 1 x)) (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(* -1 (* y z))
(* y (- (+ (/ 1 y) (/ x y)) z))
(* y (- (+ (/ 1 y) (/ x y)) z))
(* y (- (+ (/ 1 y) (/ x y)) z))
(* -1 (* y z))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(* -1 (* y (- (* -1 (/ (+ 1 x) y)) (* -1 z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* -1 (* y z))))
(* -1 (* y z))
(* z (- (+ (/ 1 z) (/ x z)) y))
(* z (- (+ (/ 1 z) (/ x z)) y))
(* z (- (+ (/ 1 z) (/ x z)) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (+ 1 x) z)) (* -1 y))))
-1
(- (* y z) 1)
(- (* y z) 1)
(- (* y z) 1)
(* y z)
(* y (- z (/ 1 y)))
(* y (- z (/ 1 y)))
(* y (- z (/ 1 y)))
(* y z)
(* -1 (* y (+ (* -1 z) (/ 1 y))))
(* -1 (* y (+ (* -1 z) (/ 1 y))))
(* -1 (* y (+ (* -1 z) (/ 1 y))))
-1
(- (* y z) 1)
(- (* y z) 1)
(- (* y z) 1)
(* y z)
(* z (- y (/ 1 z)))
(* z (- y (/ 1 z)))
(* z (- y (/ 1 z)))
(* y z)
(* -1 (* z (+ (* -1 y) (/ 1 z))))
(* -1 (* z (+ (* -1 y) (/ 1 z))))
(* -1 (* z (+ (* -1 y) (/ 1 z))))
(+ 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))))))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))
(* 1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z))))
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1))))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z)))))
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
x
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x))))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1)))
x
(+ x (* -1 (* y z)))
(+ x (* y (+ (* -1 z) (* -1/2 y))))
(+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))
(* (pow y 3) (- (+ (* 1/6 z) (/ x (pow y 3))) (+ (* 1/2 (/ 1 y)) (/ z (pow y 2)))))
(* 1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z))))
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ x y))) y)) 1/2) y)) (* -1/6 z))))
(+ x (* -1/2 (pow y 2)))
(+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))
(* z (+ (* -1/2 (/ (pow y 2) z)) (+ (* y (- (* 1/6 (pow y 2)) 1)) (/ x z))))
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/2 (pow y 2))) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))
(+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))
(+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))
(+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))
x
(* x (+ 1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))
(* x (+ 1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))
(* x (+ 1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))
x
(* -1 (* x (- (* -1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)) 1)))
(* -1 z)
(- (* -1/2 y) z)
(- (* y (- (* 1/6 (* y z)) 1/2)) z)
(- (* y (- (* 1/6 (* y z)) 1/2)) z)
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))
(* (pow y 2) (- (+ (* -1 (/ z (pow y 2))) (* 1/6 z)) (* 1/2 (/ 1 y))))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z)))
(* -1/2 y)
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1)))
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1)))
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1)))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1))
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1))
(* z (- (+ (* -1/2 (/ y z)) (* 1/6 (pow y 2))) 1))
(* -1 (* z (+ 1 (* -1/6 (pow y 2)))))
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))))
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))))
(* -1 (* z (+ 1 (+ (* -1/6 (pow y 2)) (* 1/2 (/ y z))))))
-1/2
(- (* 1/6 (* y z)) 1/2)
(- (* 1/6 (* y z)) 1/2)
(- (* 1/6 (* y z)) 1/2)
(* 1/6 (* y z))
(* y (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* y (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* y (- (* 1/6 z) (* 1/2 (/ 1 y))))
(* 1/6 (* y z))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y)))))
-1/2
(- (* 1/6 (* y z)) 1/2)
(- (* 1/6 (* y z)) 1/2)
(- (* 1/6 (* y z)) 1/2)
(* 1/6 (* y z))
(* z (- (* 1/6 y) (* 1/2 (/ 1 z))))
(* z (- (* 1/6 y) (* 1/2 (/ 1 z))))
(* z (- (* 1/6 y) (* 1/2 (/ 1 z))))
(* 1/6 (* y z))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))
(* -1 (* z (+ (* -1/6 y) (* 1/2 (/ 1 z)))))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* y z))
(* y (- (* 1/6 (* (pow y 2) z)) z))
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* (pow y 2) z)) (* 1/120 z))) (* -1/6 z))) z))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -1 (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
x
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
x
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
x
(+ x (* -1 (* z (sin y))))
(+ x (* -1 (* z (sin y))))
(+ x (* -1 (* z (sin y))))
(* -1 (* z (sin y)))
(* z (- (/ x z) (sin y)))
(* z (- (/ x z) (sin y)))
(* z (- (/ x z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))
(+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)

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

eval156.0ms (1.4%)

Memory: 22.6MiB live, 332.2MiB allocated
Compiler: Compiled 27 201 to 2 325 computations (91.5% saved)

prune169.0ms (1.5%)

Memory

-21.9MiB live, 304.8MiB allocated

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	973	21	994
Fresh	1	5	6
Picked	3	2	5
Done	0	0	0
Total	977	28	1 005

Accuracy

100.0%

Counts

1 005 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.7%	(fma.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))) (neg.f64 (.f64 z (sin.f64 y))))
▶	50.4%	(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
	41.4%	(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (+.f64 #s(literal 1 binary64) x))
▶	55.4%	(/.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))))
	58.6%	(/.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)))
	30.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z))
▶	42.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	31.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	58.5%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
	72.2%	(-.f64 x (*.f64 z (sin.f64 y)))
	46.6%	(-.f64 x (*.f64 y z))
▶	57.7%	(-.f64 x #s(literal -1 binary64))
	26.1%	(-.f64 #s(literal 1 binary64) (*.f64 y z))
	70.2%	(+.f64 (cos.f64 y) x)
	59.4%	(+.f64 x (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)))
	51.6%	(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))) (neg.f64 z)) x))
	61.3%	(+.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 z) x))
	25.7%	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
	16.3%	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64))))))
	2.8%	(.f64 (.f64 y y) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
	48.8%	(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y))
	51.1%	(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
	12.2%	(.f64 y (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
	2.9%	(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
	12.3%	(*.f64 y (neg.f64 z))
	12.3%	(neg.f64 (.f64 z (fma.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)))
✓	31.8%	(neg.f64 (*.f64 z (sin.f64 y)))
✓	42.8%	x

Compiler

Compiled 690 to 465 computations (32.6% saved)

simplify243.0ms (2.2%)

Memory

17.0MiB live, 411.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.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	64	(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 #s(literal 1 binary64) x)
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	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	128	(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(-.f64 x (cos.f64 y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))
✓	cost-diff	128	(-.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))
✓	cost-diff	320	(fma.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))) (neg.f64 (.f64 z (sin.f64 y))))

Rules

6 918×	`accelerator-lowering-fma.f32`
6 918×	`accelerator-lowering-fma.f64`
2 294×	`-lowering-.f32`
2 294×	`-lowering-.f64`
1 302×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	184
1	82	182
2	179	182
3	468	182
4	1300	182
5	3336	182
6	5133	178
7	6646	178
8	7343	178
9	7573	178
10	7790	178
0	8020	167

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize139.0ms (1.3%)

Memory

-12.7MiB live, 273.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.1%	(/.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	97.9%	(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	92.2%	(/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(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 x #s(literal -1 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y)))
✓	accuracy	99.9%	(*.f64 z (sin.f64 y))
✓	accuracy	99.3%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))
✓	accuracy	73.9%	(fma.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))) (neg.f64 (.f64 z (sin.f64 y))))

Samples

97.0ms

256×

valid

Compiler

Compiled 184 to 38 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-add: 26.0ms (33.7% of total)

ival-cos: 16.0ms (20.7% of total)

ival-mult: 12.0ms (15.6% of total)

ival-div: 10.0ms (13% of total)

ival-sin: 6.0ms (7.8% of total)

ival-sub: 5.0ms (6.5% of total)

exact: 1.0ms (1.3% of total)

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

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

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

series81.0ms (0.7%)

Memory

1.8MiB live, 78.1MiB allocated

Counts

17 → 372

Calls

Call 1

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

Outputs
#<alt (- (* 1/2 (/ 1 (cos y))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (* z (sin y))))>
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (* x (- (* 1/2 (/ 1 (pow (cos y) 2))) (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 2)))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (* z (sin y))))>
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 2))) (* x (- (* 1/2 (/ 1 (pow (cos y) 3))) (+ (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 3))) (/ 1 (cos y)))))) (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 2)))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (* z (sin y))))>
#<alt (- (+ (* 1/2 (/ 1 (cos y))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (* x (- (* 1/2 (/ 1 (pow (cos y) 4))) (+ (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 4))) (/ 1 (pow (cos y) 2)))))) (+ (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 3))) (/ 1 (cos y)))))) (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 2)))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (* z (sin y))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (+ (* -1 (cos y)) (* z (sin y))) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/2 (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y))))) (pow x 2)))) (+ (* -1 (/ (cos y) x)) (/ (* z (sin y)) x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (cos y) 3)) (+ (* 1/2 (cos y)) (* 1/2 (* (cos y) (cos (* 2 y)))))) (pow x 3)))) (+ (* -1 (/ (cos y) x)) (+ (* -1 (/ (pow (cos y) 2) (pow x 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x)))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) x))) (+ (* -1 (/ (pow (cos y) 2) x)) (* z (sin y)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ (* -1 (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) (* -1 (/ (* (cos y) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) x))) x))) (* z (sin y))) x)) 1)))>
#<alt (- (/ (pow x 2) (- x 1)) (/ 1 (- x 1)))>
#<alt (- (+ (* -1 (* y z)) (/ (pow x 2) (- x 1))) (/ 1 (- x 1)))>
#<alt (- (+ (* y (- (* y (- (* 1/4 (/ 1 (pow (- x 1) 2))) (+ (* -1/2 (+ (* 2 (/ 1 (- x 1))) (* 1/2 (/ 1 (pow (- x 1) 2))))) (* 1/2 (/ (pow x 2) (pow (- x 1) 2)))))) z)) (/ (pow x 2) (- x 1))) (/ 1 (- x 1)))>
#<alt (- (+ (* y (- (* y (- (+ (* 1/6 (* y z)) (* 1/4 (/ 1 (pow (- x 1) 2)))) (+ (* -1/2 (+ (* 2 (/ 1 (- x 1))) (* 1/2 (/ 1 (pow (- x 1) 2))))) (* 1/2 (/ (pow x 2) (pow (- x 1) 2)))))) z)) (/ (pow x 2) (- x 1))) (/ 1 (- x 1)))>
#<alt (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))) (* z (sin y)))))>
#<alt (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))) (* z (sin y)))))>
#<alt (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))) (* z (sin y)))))>
#<alt (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))) (* z (sin y)))))>
#<alt (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- x (cos y)))) (* z (sin y)))))>
#<alt (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- x (cos y)))) (* z (sin y)))))>
#<alt (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- x (cos y)))) (* z (sin y)))))>
#<alt (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- x (cos y)))) (* z (sin y)))))>
#<alt (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y))))))>
#<alt (- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y))))))>
#<alt (- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y))))))>
#<alt (- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y))))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* z (- (/ (pow x 2) (* z (- x (cos y)))) (+ (sin y) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- x (cos y))))) (/ 1/2 (* z (- x (cos y))))))))>
#<alt (* z (- (/ (pow x 2) (* z (- x (cos y)))) (+ (sin y) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- x (cos y))))) (/ 1/2 (* z (- x (cos y))))))))>
#<alt (* z (- (/ (pow x 2) (* z (- x (cos y)))) (+ (sin y) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- x (cos y))))) (/ 1/2 (* z (- x (cos y))))))))>
#<alt (* -1 (* z (sin y)))>
#<alt (* -1 (* z (- (* -1 (/ (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) z)) (* -1 (sin y)))))>
#<alt (* -1 (* z (- (* -1 (/ (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) z)) (* -1 (sin y)))))>
#<alt (* -1 (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))>
#<alt (- (pow x 2) 1)>
#<alt (- (+ (pow x 2) (pow y 2)) 1)>
#<alt (- (+ (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) (pow x 2)) 1)>
#<alt (- (+ (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) (pow x 2)) 1)>
#<alt (- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (- (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (- (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (- (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (- (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (/ -1 (cos y))>
#<alt (- (* -1 (/ x (pow (cos y) 2))) (/ 1 (cos y)))>
#<alt (- (* x (- (* -1 (/ x (pow (cos y) 3))) (/ 1 (pow (cos y) 2)))) (/ 1 (cos y)))>
#<alt (- (* x (- (* x (- (* -1 (/ x (pow (cos y) 4))) (/ 1 (pow (cos y) 3)))) (/ 1 (pow (cos y) 2)))) (/ 1 (cos y)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ (cos y) x)) x)>
#<alt (/ (- (+ 1 (/ (pow (cos y) 2) (pow x 2))) (* -1 (/ (cos y) x))) x)>
#<alt (/ (- (+ 1 (/ (pow (cos y) 3) (pow x 3))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ (cos y) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (cos y) 2) x) (* -1 (cos y))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (cos y) 3) x)) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1) x))>
#<alt (/ 1 (- x 1))>
#<alt (+ (* -1/2 (/ (pow y 2) (pow (- x 1) 2))) (/ 1 (- x 1)))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* 1/24 (/ 1 (pow (- x 1) 2))) (* 1/4 (/ 1 (pow (- x 1) 3))))) (* 1/2 (/ 1 (pow (- x 1) 2))))) (/ 1 (- x 1)))>
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* 1/720 (/ 1 (pow (- x 1) 2))) (+ (* 1/48 (/ 1 (pow (- x 1) 3))) (* 1/2 (/ (+ (* 1/24 (/ 1 (pow (- x 1) 2))) (* 1/4 (/ 1 (pow (- x 1) 3)))) (- x 1))))))) (+ (* 1/24 (/ 1 (pow (- x 1) 2))) (* 1/4 (/ 1 (pow (- x 1) 3)))))) (* 1/2 (/ 1 (pow (- x 1) 2))))) (/ 1 (- x 1)))>
#<alt (/ 1 (- x (cos y)))>
#<alt (/ 1 (- x (cos y)))>
#<alt (/ 1 (- x (cos y)))>
#<alt (/ 1 (- x (cos y)))>
#<alt (/ 1 (- x (cos y)))>
#<alt (/ 1 (- x (cos y)))>
#<alt (/ 1 (- x (cos y)))>
#<alt (/ 1 (- x (cos y)))>
#<alt (* -1 (cos y))>
#<alt (- x (cos y))>
#<alt (- x (cos y))>
#<alt (- x (cos y))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (cos y) x))))>
#<alt (* x (+ 1 (* -1 (/ (cos y) x))))>
#<alt (* x (+ 1 (* -1 (/ (cos y) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (cos y) x) 1)))>
#<alt (* -1 (* x (- (/ (cos y) x) 1)))>
#<alt (* -1 (* x (- (/ (cos y) x) 1)))>
#<alt (- x 1)>
#<alt (- (+ x (* 1/2 (pow y 2))) 1)>
#<alt (- (+ x (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2))))) 1)>
#<alt (- (+ x (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24))))) 1)>
#<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 x)>
#<alt (+ 1 (+ x (* -1 (* y z))))>
#<alt (+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))>
#<alt (+ 1 (+ x (* 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 (pow y 2)) (/ x (pow y 2)))) 1/2))>
#<alt (* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))>
#<alt (* -1/2 (pow y 2))>
#<alt (* (pow y 2) (- (* -1 (/ z y)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))>
#<alt (* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))>
#<alt (+ 1 (+ x (* -1/2 (pow y 2))))>
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))>
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))>
#<alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))>
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))>
#<alt (* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))>
#<alt (+ 1 (* y (- (* -1/2 y) z)))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt (+ 1 (+ x (* y (- (* -1/2 y) z))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))>
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))>
#<alt (* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))>
#<alt (* -1 z)>
#<alt (- (* -1/2 y) z)>
#<alt (- (* -1/2 y) z)>
#<alt (- (* -1/2 y) z)>
#<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 (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 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 x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt 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 (+ 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 (+ 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 (/ 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 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* y z)>
#<alt (* y (+ z (* -1/6 (* (pow y 2) z))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))>
#<alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>
#<alt (* z (sin y))>

Calls

93 calls:

Time	Variable		Point	Expression
40.0ms	y	@	-inf	(+ (* (/ 1 (- x (cos y))) (- (* x x) (+ (* 1/2 (cos (+ y y))) 1/2))) (neg (* z (sin y))))
6.0ms	y	@	0	(+ (* y (/ z (* (+ 1 x) (+ 1 x)))) (/ 1 (+ 1 x)))
2.0ms	y	@	inf	(+ (* (/ 1 (- x (cos y))) (- (* x x) (+ (* 1/2 (cos (+ y y))) 1/2))) (neg (* z (sin y))))
2.0ms	z	@	0	(/ 1 (+ (* y (/ z (* (+ 1 x) (+ 1 x)))) (/ 1 (+ 1 x))))
2.0ms	x	@	-inf	(/ 1 (+ (* y (/ z (* (+ 1 x) (+ 1 x)))) (/ 1 (+ 1 x))))

rewrite409.0ms (3.7%)

Memory

-8.5MiB live, 748.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 972×	`accelerator-lowering-fma.f32`
6 972×	`accelerator-lowering-fma.f64`
4 654×	`/-lowering-/.f32`
4 654×	`/-lowering-/.f64`
4 160×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	131
1	249	108
2	2468	108
0	9238	103

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 883

Calls

Call 1

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

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

simplify655.0ms (5.9%)

Memory

-81.6MiB live, 571.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 066×	`accelerator-lowering-fma.f32`
8 066×	`accelerator-lowering-fma.f64`
5 236×	`-lowering-.f32`
5 236×	`-lowering-.f64`
4 460×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	833	5193
1	2564	5046
2	7945	5042
0	8405	4737

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(- (* 1/2 (/ 1 (cos y))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (* z (sin y))))
(- (+ (* 1/2 (/ 1 (cos y))) (* x (- (* 1/2 (/ 1 (pow (cos y) 2))) (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 2)))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (* z (sin y))))
(- (+ (* 1/2 (/ 1 (cos y))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 2))) (* x (- (* 1/2 (/ 1 (pow (cos y) 3))) (+ (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 3))) (/ 1 (cos y)))))) (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 2)))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (* z (sin y))))
(- (+ (* 1/2 (/ 1 (cos y))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 2))) (* x (- (+ (* 1/2 (/ 1 (pow (cos y) 3))) (* x (- (* 1/2 (/ 1 (pow (cos y) 4))) (+ (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 4))) (/ 1 (pow (cos y) 2)))))) (+ (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 3))) (/ 1 (cos y)))))) (* -1/2 (/ (cos (* 2 y)) (pow (cos y) 2)))))) (+ (* -1/2 (/ (cos (* 2 y)) (cos y))) (* z (sin y))))
x
(* x (+ 1 (* -1 (/ (+ (* -1 (cos y)) (* z (sin y))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/2 (+ (* -1 (pow (cos y) 2)) (* 1/2 (cos (* 2 y))))) (pow x 2)))) (+ (* -1 (/ (cos y) x)) (/ (* z (sin y)) x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (cos y) 3)) (+ (* 1/2 (cos y)) (* 1/2 (* (cos y) (cos (* 2 y)))))) (pow x 3)))) (+ (* -1 (/ (cos y) x)) (+ (* -1 (/ (pow (cos y) 2) (pow x 2))) (+ (* 1/2 (/ (cos (* 2 y)) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (* z (sin y)) x)))))))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) x))) (+ (* -1 (/ (pow (cos y) 2) x)) (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* -1 (/ (+ (* -1 (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) (* -1 (/ (* (cos y) (- (* -1 (+ 1/2 (* 1/2 (cos (* 2 y))))) (* -1 (pow (cos y) 2)))) x))) x))) (* z (sin y))) x)) 1)))
(- (/ (pow x 2) (- x 1)) (/ 1 (- x 1)))
(- (+ (* -1 (* y z)) (/ (pow x 2) (- x 1))) (/ 1 (- x 1)))
(- (+ (* y (- (* y (- (* 1/4 (/ 1 (pow (- x 1) 2))) (+ (* -1/2 (+ (* 2 (/ 1 (- x 1))) (* 1/2 (/ 1 (pow (- x 1) 2))))) (* 1/2 (/ (pow x 2) (pow (- x 1) 2)))))) z)) (/ (pow x 2) (- x 1))) (/ 1 (- x 1)))
(- (+ (* y (- (* y (- (+ (* 1/6 (* y z)) (* 1/4 (/ 1 (pow (- x 1) 2)))) (+ (* -1/2 (+ (* 2 (/ 1 (- x 1))) (* 1/2 (/ 1 (pow (- x 1) 2))))) (* 1/2 (/ (pow x 2) (pow (- x 1) 2)))))) z)) (/ (pow x 2) (- x 1))) (/ 1 (- x 1)))
(- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))) (* z (sin y)))))
(- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))) (* z (sin y)))))
(- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))) (* z (sin y)))))
(- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))) (* z (sin y)))))
(- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- x (cos y)))) (* z (sin y)))))
(- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- x (cos y)))) (* z (sin y)))))
(- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- x (cos y)))) (* z (sin y)))))
(- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (+ (* 1/2 (/ (cos (neg (* -2 y))) (- x (cos y)))) (* z (sin y)))))
(- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y))))))
(- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y))))))
(- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y))))))
(- (+ (* -1 (* z (sin y))) (/ (pow x 2) (- x (cos y)))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y))))))
(* -1 (* z (sin y)))
(* z (- (/ (pow x 2) (* z (- x (cos y)))) (+ (sin y) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- x (cos y))))) (/ 1/2 (* z (- x (cos y))))))))
(* z (- (/ (pow x 2) (* z (- x (cos y)))) (+ (sin y) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- x (cos y))))) (/ 1/2 (* z (- x (cos y))))))))
(* z (- (/ (pow x 2) (* z (- x (cos y)))) (+ (sin y) (+ (* 1/2 (/ (cos (* 2 y)) (* z (- x (cos y))))) (/ 1/2 (* z (- x (cos y))))))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (- (/ (pow x 2) (- x (cos y))) (+ (* 1/2 (/ 1 (- x (cos y)))) (* 1/2 (/ (cos (* 2 y)) (- x (cos y)))))) z)) (* -1 (sin y)))))
(* -1 (+ 1/2 (* 1/2 (cos (* 2 y)))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (pow x 2)))))
(- (pow x 2) 1)
(- (+ (pow x 2) (pow y 2)) 1)
(- (+ (* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) (pow x 2)) 1)
(- (+ (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) (pow x 2)) 1)
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(- (pow x 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))
(/ -1 (cos y))
(- (* -1 (/ x (pow (cos y) 2))) (/ 1 (cos y)))
(- (* x (- (* -1 (/ x (pow (cos y) 3))) (/ 1 (pow (cos y) 2)))) (/ 1 (cos y)))
(- (* x (- (* x (- (* -1 (/ x (pow (cos y) 4))) (/ 1 (pow (cos y) 3)))) (/ 1 (pow (cos y) 2)))) (/ 1 (cos y)))
(/ 1 x)
(/ (+ 1 (/ (cos y) x)) x)
(/ (- (+ 1 (/ (pow (cos y) 2) (pow x 2))) (* -1 (/ (cos y) x))) x)
(/ (- (+ 1 (/ (pow (cos y) 3) (pow x 3))) (+ (* -1 (/ (cos y) x)) (* -1 (/ (pow (cos y) 2) (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (cos y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (cos y) 2) x) (* -1 (cos y))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (cos y) 3) x)) (pow (cos y) 2)) x)) (* -1 (cos y))) x)) 1) x))
(/ 1 (- x 1))
(+ (* -1/2 (/ (pow y 2) (pow (- x 1) 2))) (/ 1 (- x 1)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* 1/24 (/ 1 (pow (- x 1) 2))) (* 1/4 (/ 1 (pow (- x 1) 3))))) (* 1/2 (/ 1 (pow (- x 1) 2))))) (/ 1 (- x 1)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (* (pow y 2) (+ (* 1/720 (/ 1 (pow (- x 1) 2))) (+ (* 1/48 (/ 1 (pow (- x 1) 3))) (* 1/2 (/ (+ (* 1/24 (/ 1 (pow (- x 1) 2))) (* 1/4 (/ 1 (pow (- x 1) 3)))) (- x 1))))))) (+ (* 1/24 (/ 1 (pow (- x 1) 2))) (* 1/4 (/ 1 (pow (- x 1) 3)))))) (* 1/2 (/ 1 (pow (- x 1) 2))))) (/ 1 (- x 1)))
(/ 1 (- x (cos y)))
(/ 1 (- x (cos y)))
(/ 1 (- x (cos y)))
(/ 1 (- x (cos y)))
(/ 1 (- x (cos y)))
(/ 1 (- x (cos y)))
(/ 1 (- x (cos y)))
(/ 1 (- x (cos y)))
(* -1 (cos y))
(- x (cos y))
(- x (cos y))
(- x (cos y))
x
(* x (+ 1 (* -1 (/ (cos y) x))))
(* x (+ 1 (* -1 (/ (cos y) x))))
(* x (+ 1 (* -1 (/ (cos y) x))))
x
(* -1 (* x (- (/ (cos y) x) 1)))
(* -1 (* x (- (/ (cos y) x) 1)))
(* -1 (* x (- (/ (cos y) x) 1)))
(- x 1)
(- (+ x (* 1/2 (pow y 2))) 1)
(- (+ x (* (pow y 2) (+ 1/2 (* -1/24 (pow y 2))))) 1)
(- (+ x (* (pow y 2) (+ 1/2 (* (pow y 2) (- (* 1/720 (pow y 2)) 1/24))))) 1)
(- 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 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(+ 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))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 z)
(- (* -1/2 y) z)
(- (* -1/2 y) z)
(- (* -1/2 y) z)
(* -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)))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 x)))
(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 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (/ 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))
(* -1 (* y (- (* -1 (/ z (pow (+ 1 x) 2))) (/ 1 (* y (+ 1 x))))))
(* -1 (* y (- (* -1 (/ z (pow (+ 1 x) 2))) (/ 1 (* y (+ 1 x))))))
(* -1 (* y (- (* -1 (/ z (pow (+ 1 x) 2))) (/ 1 (* y (+ 1 x))))))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(/ (* y z) (pow (+ 1 x) 2))
(* z (+ (/ 1 (* z (+ 1 x))) (/ y (pow (+ 1 x) 2))))
(* z (+ (/ 1 (* z (+ 1 x))) (/ y (pow (+ 1 x) 2))))
(* z (+ (/ 1 (* z (+ 1 x))) (/ y (pow (+ 1 x) 2))))
(/ (* y z) (pow (+ 1 x) 2))
(* -1 (* z (- (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (* z (+ 1 x))))))
(* -1 (* z (- (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (* z (+ 1 x))))))
(* -1 (* z (- (* -1 (/ y (pow (+ 1 x) 2))) (/ 1 (* z (+ 1 x))))))
(+ 1 (* y z))
(+ 1 (+ (* -1 (* x (+ 1 (* 2 (* y z))))) (* y z)))
(+ 1 (+ (* x (- (* x (- 1 (+ (* -4 (* y z)) (* y z)))) (+ 1 (* 2 (* y z))))) (* y z)))
(+ 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)))
(/ 1 x)
(/ (- (+ 1 (/ (* y z) x)) (/ 1 x)) x)
(/ (- (+ 1 (+ (/ 1 (pow x 2)) (/ (* y z) x))) (+ (* 2 (/ (* y z) (pow x 2))) (/ 1 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)
(/ 1 x)
(* -1 (/ (- (* -1 (/ (- (* y z) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* y z) x)) (+ (* y z) (/ 1 x))) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* y z) x)) (+ (/ 1 x) (/ (* y z) x))) (+ 1 (* -2 (* y z)))) x)) (* y z)) 1) x)) 1) x))
(+ 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))
(* -1 (/ (+ (* -1 (/ (pow (+ 1 x) 2) z)) (/ (pow (+ 1 x) 3) (* y (pow z 2)))) y))
(* -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)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* z (- (/ (* (pow y 2) z) (+ 1 x)) y))))
(+ 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))
(* -1 (/ (+ (* -1 (/ (pow (+ 1 x) 2) y)) (/ (pow (+ 1 x) 3) (* (pow y 2) z))) z))
(* -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
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(* -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)))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
(/ z (pow (+ 1 x) 2))
z
(+ z (* -2 (* x z)))
(+ z (* x (- (* -1 (* x (+ z (* -4 z)))) (* 2 z))))
(+ z (* x (- (* x (- (* -1 (* x (+ (* -2 z) (* -2 (+ z (* -4 z)))))) (+ z (* -4 z)))) (* 2 z))))
(/ 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
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 y)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))

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

eval175.0ms (1.6%)

Memory: 13.2MiB live, 356.8MiB allocated
Compiler: Compiled 33 111 to 3 314 computations (90% saved)

prune187.0ms (1.7%)

Memory

-0.1MiB live, 366.6MiB allocated

Pruning

38 alts after pruning (34 fresh and 4 done)

	Pruned	Kept	Total
New	1 240	15	1 255
Fresh	2	19	21
Picked	3	2	5
Done	0	2	2
Total	1 245	38	1 283

Accuracy

100.0%

Counts

1 283 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (.f64 z (sin.f64 y))))
	35.7%	(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) z) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (neg.f64 z) z)))) (+.f64 x #s(literal 1 binary64)))
	25.5%	(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
	61.3%	(fma.f64 y (neg.f64 z) (+.f64 x #s(literal 1 binary64)))
	3.1%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 y z))
	43.9%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) x) z) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
	43.6%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 y (fma.f64 y x y))))
▶	46.9%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
	46.1%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
	16.3%	(/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))
	58.6%	(/.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)))
	30.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z))
✓	42.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	31.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))
	58.5%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	72.2%	(-.f64 x (*.f64 z (sin.f64 y)))
	46.6%	(-.f64 x (*.f64 y z))
✓	57.7%	(-.f64 x #s(literal -1 binary64))
	26.1%	(-.f64 #s(literal 1 binary64) (*.f64 y z))
	70.2%	(+.f64 (cos.f64 y) x)
	48.5%	(+.f64 x (fma.f64 x (.f64 (-.f64 (.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x)) #s(literal 1 binary64)))
	59.4%	(+.f64 x (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y z)) x)))
▶	51.6%	(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))) (neg.f64 z)) x))
	25.7%	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
	16.3%	(+.f64 #s(literal 1 binary64) (.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64))))))
	2.8%	(.f64 (.f64 y y) (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
	48.8%	(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y))
	51.1%	(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
	12.2%	(.f64 y (.f64 z (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))
▶	2.9%	(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
	2.7%	(.f64 y (.f64 y #s(literal -1/2 binary64)))
	12.3%	(*.f64 y (neg.f64 z))
	57.8%	(.f64 x (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (cos.f64 y)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (.f64 x (.f64 x x)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (.f64 x x)) (fma.f64 z (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (neg.f64 (/.f64 (+.f64 (cos.f64 y) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) x)))))
	42.0%	(neg.f64 (fma.f64 x (/.f64 (+.f64 (/.f64 (fma.f64 y (.f64 #s(literal 2 binary64) z) (fma.f64 (fma.f64 y z #s(literal -1 binary64)) (fma.f64 y z #s(literal -1 binary64)) #s(literal -1 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 y z))) (neg.f64 x)) (neg.f64 x)))
	12.3%	(neg.f64 (.f64 z (fma.f64 (.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)))
✓	31.8%	(neg.f64 (*.f64 z (sin.f64 y)))
✓	42.8%	x
▶	17.0%	#s(literal 1 binary64)

Compiler

Compiled 1 116 to 714 computations (36% saved)

simplify227.0ms (2.1%)

Memory

1.5MiB live, 239.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 z (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
✓	cost-diff	0	(fma.f64 y (/.f64 z (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 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 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
✓	cost-diff	1024	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓	cost-diff	0	(.f64 y (.f64 z #s(literal 1/6 binary64)))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))) (neg.f64 z)) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))) (neg.f64 z)) x))
✓	cost-diff	128	(fma.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))) (neg.f64 z))
✓	cost-diff	0	(*.f64 y #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 z (.f64 y (*.f64 y #s(literal 1/6 binary64))))
✓	cost-diff	0	(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 z (sin.f64 y))
✓	cost-diff	0	(-.f64 x (*.f64 z (sin.f64 y)))

Rules

4 324×	`accelerator-lowering-fma.f32`
4 324×	`accelerator-lowering-fma.f64`
2 784×	`-lowering-.f32`
2 784×	`-lowering-.f64`
2 090×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	179
1	85	179
2	214	177
3	467	173
4	785	157
5	1248	157
6	2396	157
7	4464	157
0	8476	151

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize199.0ms (1.8%)

Memory

-12.7MiB live, 102.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
✓	accuracy	94.2%	(fma.f64 y (/.f64 z (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	92.2%	(/.f64 z (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
✓	accuracy	78.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))) (neg.f64 z)) x)
✓	accuracy	99.8%	(fma.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))) (neg.f64 z))
✓	accuracy	99.7%	(.f64 y (.f64 z #s(literal 1/6 binary64)))
✓	accuracy	99.4%	(*.f64 z #s(literal 1/6 binary64))
✓	accuracy	99.8%	(.f64 y (.f64 z (.f64 y (.f64 y #s(literal 1/6 binary64)))))
✓	accuracy	99.8%	(.f64 y (.f64 y #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/6 binary64))
✓	accuracy	87.9%	(.f64 z (.f64 y (*.f64 y #s(literal 1/6 binary64))))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(-.f64 x (*.f64 z (sin.f64 y)))
✓	accuracy	99.9%	(*.f64 z (sin.f64 y))

Samples

84.0ms

256×

valid

Compiler

Compiled 177 to 33 computations (81.4% saved)

Precisions

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

ival-div: 30.0ms (44.8% of total)

ival-mult: 17.0ms (25.4% of total)

ival-add: 7.0ms (10.5% of total)

ival-sin: 7.0ms (10.5% of total)

const: 3.0ms (4.5% of total)

ival-sub: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory

26.9MiB live, 26.9MiB allocated

Counts

16 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ 1 (+ (* y (/ z (* (* x x) (+ 1 (/ 2 x))))) (/ 1 (+ 1 x))))
1.0ms	z	@	0	(* y (* z (* y (* y 1/6))))
1.0ms	y	@	inf	(/ 1 (+ (* y (/ z (* (* x x) (+ 1 (/ 2 x))))) (/ 1 (+ 1 x))))
1.0ms	z	@	0	(/ z (* (* x x) (+ 1 (/ 2 x))))
1.0ms	z	@	inf	(/ 1 (+ (* y (/ z (* (* x x) (+ 1 (/ 2 x))))) (/ 1 (+ 1 x))))

rewrite810.0ms (7.3%)

Memory

-9.0MiB live, 505.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 672×	`accelerator-lowering-fma.f32`
5 672×	`accelerator-lowering-fma.f64`
5 320×	`-lowering-.f32`
5 320×	`-lowering-.f64`
4 620×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	141
1	189	141
2	1663	131
0	9052	121

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 667

Calls

Call 1

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

Outputs
(+.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x)
(-.f64 x (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (.f64 x x))) (/.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) x) (*.f64 x x))))
(-.f64 (/.f64 (.f64 x x) (fma.f64 z (sin.f64 y) x)) (/.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (fma.f64 z (sin.f64 y) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (sin.f64 y) (neg.f64 z)))) (/.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (-.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 z (neg.f64 (sin.f64 y)) x)
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(fma.f64 (neg.f64 z) (sin.f64 y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x) (.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (neg.f64 (sin.f64 y)) z x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (sin.f64 y) x) (-.f64 (.f64 x x) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (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) x) (-.f64 (.f64 x x) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 x (*.f64 (sin.f64 y) (neg.f64 z))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (fma.f64 z (sin.f64 y) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (-.f64 x (.f64 (sin.f64 y) (neg.f64 z))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) (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) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) (.f64 x (*.f64 (sin.f64 y) (neg.f64 z)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (neg.f64 (fma.f64 z (sin.f64 y) x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))) (neg.f64 (-.f64 x (.f64 (sin.f64 y) (neg.f64 z)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (.f64 x x))) (.f64 (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (.f64 x x)) (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) x) (.f64 x x)) (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 z (sin.f64 y) x)) (.f64 (fma.f64 z (sin.f64 y) x) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))))) (.f64 (fma.f64 z (sin.f64 y) x) (fma.f64 z (sin.f64 y) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) (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) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) (neg.f64 (neg.f64 (fma.f64 z (sin.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 y) (neg.f64 z)) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (-.f64 (.f64 x x) (.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x))))
(pow.f64 (/.f64 (fma.f64 (.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) x) (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z (sin.f64 y) x) (-.f64 (.f64 x x) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) #s(literal -1 binary64))
(.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))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 z z) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) x)))
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
(sin.f64 y)
(.f64 z (.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) y))
(.f64 y (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) (.f64 z y))
(.f64 (.f64 #s(literal 1/6 binary64) (.f64 z y)) (.f64 y y))
(.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) y)
(.f64 (.f64 y y) (.f64 #s(literal 1/6 binary64) (.f64 z y)))
(.f64 (.f64 z y) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(.f64 (.f64 y (.f64 y y)) (.f64 z #s(literal 1/6 binary64)))
(.f64 (.f64 y (.f64 z y)) (.f64 y #s(literal 1/6 binary64)))
(.f64 (.f64 y (.f64 #s(literal 1/6 binary64) (.f64 y y))) z)
(.f64 (.f64 (.f64 z y) y) (.f64 y #s(literal 1/6 binary64)))
(.f64 (.f64 (.f64 z y) (.f64 y y)) #s(literal 1/6 binary64))
(.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y)))
(.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 z y)))
(.f64 (.f64 y #s(literal 1/6 binary64)) (*.f64 z y))
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 y y)) z)
(.f64 (.f64 z #s(literal 1/6 binary64)) (*.f64 y y))
(.f64 (.f64 #s(literal 1/6 binary64) (*.f64 z y)) y)
(.f64 (.f64 y y) (*.f64 z #s(literal 1/6 binary64)))
(.f64 (.f64 z y) (*.f64 y #s(literal 1/6 binary64)))
(.f64 (.f64 y (*.f64 z y)) #s(literal 1/6 binary64))
(.f64 (.f64 (*.f64 y y) z) #s(literal 1/6 binary64))
(.f64 (.f64 (*.f64 z y) y) #s(literal 1/6 binary64))
(.f64 (.f64 z (*.f64 y y)) #s(literal 1/6 binary64))
(.f64 y (.f64 y #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(.f64 (.f64 y #s(literal 1/6 binary64)) y)
(.f64 (.f64 y y) #s(literal 1/6 binary64))
(*.f64 y #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) y)
(+.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y))) (neg.f64 z))
(+.f64 (neg.f64 z) (.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(-.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)
(-.f64 #s(literal 0 binary64) (-.f64 z (.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z y)) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))) (-.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (neg.f64 z))) (/.f64 (.f64 z z) (-.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (neg.f64 z))))
(-.f64 (fma.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 0 binary64)) z)
(-.f64 (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z y)) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 z y)) z)) (/.f64 (.f64 z z) (fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 z y)) z)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64))) (fma.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z y)) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (fma.f64 z z (.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) z)))) (/.f64 (.f64 z (.f64 z z)) (fma.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z y)) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (fma.f64 z z (.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y))) z)))))
(-.f64 (/.f64 (.f64 z z) (-.f64 (neg.f64 z) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))) (/.f64 (.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z y)) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))) (-.f64 (neg.f64 z) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
(fma.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)) (neg.f64 z))
(fma.f64 z #s(literal -1 binary64) (.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(fma.f64 y (.f64 #s(literal 1/6 binary64) (.f64 z y)) (neg.f64 z))
(fma.f64 (.f64 y #s(literal 1/6 binary64)) (.f64 z y) (neg.f64 z))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) z (neg.f64 z))
(fma.f64 (.f64 z #s(literal 1/6 binary64)) (.f64 y y) (neg.f64 z))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 z y)) y (neg.f64 z))
(fma.f64 #s(literal -1 binary64) z (.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(fma.f64 (.f64 y y) (.f64 z #s(literal 1/6 binary64)) (neg.f64 z))
(fma.f64 (.f64 z y) (.f64 y #s(literal 1/6 binary64)) (neg.f64 z))
(fma.f64 (.f64 y (.f64 z y)) #s(literal 1/6 binary64) (neg.f64 z))
(fma.f64 (.f64 (.f64 y y) z) #s(literal 1/6 binary64) (neg.f64 z))
(fma.f64 (.f64 (.f64 z y) y) #s(literal 1/6 binary64) (neg.f64 z))
(fma.f64 (.f64 z (.f64 y y)) #s(literal 1/6 binary64) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z y)) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (.f64 (neg.f64 z) (-.f64 (neg.f64 z) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)))))) (fma.f64 (neg.f64 z) (.f64 z z) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (neg.f64 z)) (fma.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 z (neg.f64 z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z y)) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (.f64 (neg.f64 z) (-.f64 (neg.f64 z) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)))))) (fma.f64 (neg.f64 z) (.f64 z z) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (neg.f64 z)) (fma.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 z (neg.f64 z))))))
(/.f64 (fma.f64 (neg.f64 z) (.f64 z z) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64)))) (fma.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z y)) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (.f64 (neg.f64 z) (-.f64 (neg.f64 z) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)))))))
(/.f64 (fma.f64 (neg.f64 z) (.f64 z z) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64)))) (fma.f64 z z (-.f64 (.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z y)) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z y)) (*.f64 y (neg.f64 z))))))
(/.f64 (fma.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 z (neg.f64 z))) (-.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (neg.f64 z)))
(/.f64 (fma.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 z (neg.f64 z))) (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 z y)) z))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (.f64 z z) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64))))) (neg.f64 (fma.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z y)) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (.f64 (neg.f64 z) (-.f64 (neg.f64 z) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (.f64 z z) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64))))) (neg.f64 (fma.f64 z z (-.f64 (.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z y)) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z y)) (*.f64 y (neg.f64 z)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 z (neg.f64 z)))) (neg.f64 (-.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (neg.f64 z))))
(/.f64 (neg.f64 (fma.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 z (neg.f64 z)))) (neg.f64 (fma.f64 y (.f64 #s(literal 1/6 binary64) (*.f64 z y)) z)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 z (.f64 z z)) #s(literal 1/216 binary64))) (.f64 z (.f64 z z))) (fma.f64 y (.f64 (.f64 #s(literal 1/6 binary64) (.f64 z y)) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y)))) (fma.f64 z z (.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y))) z))))
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(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x)) (fma.f64 #s(literal 2 binary64) x (.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 z y) (fma.f64 #s(literal 2 binary64) x (.f64 x x)))) (+.f64 x #s(literal 1 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 z (.f64 z z)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x)) (fma.f64 #s(literal 2 binary64) x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (.f64 z y) (fma.f64 #s(literal 2 binary64) x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (/.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x)) (fma.f64 #s(literal 2 binary64) x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64))
(.f64 (fma.f64 y (/.f64 z (fma.f64 #s(literal 2 binary64) x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 y (/.f64 z (fma.f64 #s(literal 2 binary64) x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (/.f64 (.f64 z y) (fma.f64 #s(literal 2 binary64) x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 (/.f64 (.f64 z y) (fma.f64 #s(literal 2 binary64) x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 (.f64 z (.f64 z z)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x)) (fma.f64 #s(literal 2 binary64) x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x)) (fma.f64 #s(literal 2 binary64) x (.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 z y) (fma.f64 #s(literal 2 binary64) x (.f64 x x)))) (+.f64 x #s(literal 1 binary64))))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x)) (fma.f64 #s(literal 2 binary64) x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 z y) (fma.f64 #s(literal 2 binary64) x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x)) (fma.f64 #s(literal 2 binary64) x (.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 z y) (fma.f64 #s(literal 2 binary64) x (.f64 x x)))) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (/.f64 z (fma.f64 #s(literal 2 binary64) x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 (/.f64 (.f64 (.f64 z y) (.f64 z y)) (.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x)) (fma.f64 #s(literal 2 binary64) x (.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 z y) (fma.f64 #s(literal 2 binary64) x (.f64 x x)))) (+.f64 x #s(literal 1 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x)) z)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x)))) (/.f64 z (neg.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x)))))
(neg.f64 (/.f64 z (neg.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x x)))))
(neg.f64 (/.f64 (neg.f64 z) (fma.f64 #s(literal 2 binary64) x (*.f64 x x))))
(/.f64 z (fma.f64 #s(literal 2 binary64) x (*.f64 x x)))
(/.f64 (neg.f64 z) (neg.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x x)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x x)) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 z (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x x)) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x x)) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x x)) z) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 z (*.f64 x x)))))
(/.f64 (/.f64 z (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x x)))))
(/.f64 (neg.f64 (/.f64 z (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (/.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (*.f64 x x))
(/.f64 (.f64 z #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x (.f64 x x)))
(/.f64 (/.f64 z x) (fma.f64 x (/.f64 #s(literal 2 binary64) x) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x)))) (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x))) z)) (.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x))) (neg.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 z (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (/.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (.f64 z #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x))))
(/.f64 (neg.f64 (/.f64 z x)) (neg.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) x) x)))
(pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x x)) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 x x)) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 z (*.f64 x x))) #s(literal -1 binary64))
(.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (.f64 x x))))
(.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x)))))
(.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 #s(literal 2 binary64) x (.f64 x x))))
(.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 (fma.f64 #s(literal 2 binary64) x (.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (.f64 x x))) z)
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (fma.f64 x (/.f64 #s(literal 2 binary64) x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) x) x) z) #s(literal -1 binary64)))
(.f64 (/.f64 z (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 z (fma.f64 x (/.f64 #s(literal 2 binary64) x) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 z (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) z) #s(literal -1 binary64)))
(*.f64 (/.f64 z x) (/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) x) x))))
(*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 2 binary64) x) x)))
(.f64 (/.f64 (/.f64 z (.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 z (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 z (neg.f64 (.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (neg.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) x) x))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 z (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 z (neg.f64 (.f64 x x))))
(.f64 (/.f64 z (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x (.f64 x x))))
(*.f64 (/.f64 z (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 #s(literal 2 binary64) x) x)))
(.f64 (/.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))))
(*.f64 z #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) z)

simplify700.0ms (6.3%)

Memory

-9.6MiB live, 683.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 446×	`accelerator-lowering-fma.f32`
6 446×	`accelerator-lowering-fma.f64`
6 302×	`-lowering-.f32`
6 302×	`-lowering-.f64`
3 028×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	598	5059
1	2028	4919
2	7518	4917
0	8027	4660

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* -1 (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
x
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
x
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
x
(+ x (* -1 (* z (sin y))))
(+ x (* -1 (* z (sin y))))
(+ x (* -1 (* z (sin y))))
(* -1 (* z (sin y)))
(* z (- (/ x z) (sin y)))
(* z (- (/ x z) (sin y)))
(* z (- (/ x z) (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))
(+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(- x (* z (sin y)))
(* 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)
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 3) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 1/6 (* (pow y 2) z))
(* 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))
(* 1/6 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)
(* -1 z)
(- (* 1/6 (* (pow y 2) z)) z)
(- (* 1/6 (* (pow y 2) z)) z)
(- (* 1/6 (* (pow y 2) z)) z)
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* 1/6 (* (pow y 2) z))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 2) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* z (- (* 1/6 (pow y 2)) 1))
(* -1 (* z (+ 1 (* -1/6 (pow y 2)))))
(* -1 (* z (+ 1 (* -1/6 (pow y 2)))))
(* -1 (* z (+ 1 (* -1/6 (pow y 2)))))
(* -1 (* z (+ 1 (* -1/6 (pow y 2)))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))))
(+ 1 (+ x (* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))))
(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (/ z (pow y 2))))
(* (pow y 3) (- (+ (* 1/6 z) (+ (/ 1 (pow y 3)) (/ x (pow y 3)))) (/ z (pow y 2))))
(* 1/6 (* (pow y 3) z))
(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 x) (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 x) (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))
(+ 1 x)
(+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(+ 1 (+ x (* y (* z (- (* 1/6 (pow y 2)) 1)))))
(* y (* z (- (* 1/6 (pow y 2)) 1)))
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))
(* z (+ (* y (- (* 1/6 (pow y 2)) 1)) (+ (/ 1 z) (/ x z))))
(* -1 (* y (* z (+ 1 (* -1/6 (pow y 2))))))
(* -1 (* z (+ (* -1 (/ (+ 1 x) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ (* -1 (/ (+ 1 x) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* z (+ (* -1 (/ (+ 1 x) z)) (* y (+ 1 (* -1/6 (pow y 2)))))))
(+ 1 (* y (- (* 1/6 (* (pow y 2) z)) z)))
(+ 1 (+ x (* y (- (* 1/6 (* (pow y 2) z)) z))))
(+ 1 (+ x (* y (- (* 1/6 (* (pow y 2) z)) z))))
(+ 1 (+ x (* y (- (* 1/6 (* (pow y 2) z)) z))))
x
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))
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(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* 1/6 (* (pow y 2) z)) z)) x))))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* 1/6 (* (pow y 2) z)) z))) x)) 1)))
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x
(+ x (* -1 (* y z)))
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(* 1/6 (* (pow y 3) z))
(* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))
(* (pow y 3) (- (+ (* 1/6 z) (/ x (pow y 3))) (/ z (pow y 2))))
(* (pow y 3) (- (+ (* 1/6 z) (/ x (pow y 3))) (/ z (pow y 2))))
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(* -1 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 3))) (+ (* -1/6 z) (/ z (pow y 2))))))
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x
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x
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x
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(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 1/6 (* y z))
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(+ 1 x)
(+ 1 (+ x (* -1 (/ (* y (* z (pow (+ 1 x) 2))) (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))))
(+ 1 (+ x (* y (- (/ (* y (* (pow z 2) (pow (+ 1 x) 3))) (* (pow x 4) (pow (+ 1 (* 2 (/ 1 x))) 2))) (/ (* z (pow (+ 1 x) 2)) (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))))))
(+ 1 (+ x (* y (- (* y (- (* -1 (/ (* y (* (pow z 3) (pow (+ 1 x) 4))) (* (pow x 6) (pow (+ 1 (* 2 (/ 1 x))) 3)))) (* -1 (/ (* (pow z 2) (pow (+ 1 x) 3)) (* (pow x 4) (pow (+ 1 (* 2 (/ 1 x))) 2)))))) (/ (* z (pow (+ 1 x) 2)) (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))))))
(/ (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (* y z))
(/ (+ (* -1 (/ (* (pow x 4) (pow (+ 1 (* 2 (/ 1 x))) 2)) (* y (* (pow z 2) (+ 1 x))))) (/ (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) z)) y)
(/ (- (+ (/ (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) z) (/ (* (pow x 6) (pow (+ 1 (* 2 (/ 1 x))) 3)) (* (pow y 2) (* (pow z 3) (pow (+ 1 x) 2))))) (/ (* (pow x 4) (pow (+ 1 (* 2 (/ 1 x))) 2)) (* y (* (pow z 2) (+ 1 x))))) y)
(/ (- (+ (* -1 (/ (* (pow x 8) (pow (+ 1 (* 2 (/ 1 x))) 4)) (* (pow y 3) (* (pow z 4) (pow (+ 1 x) 3))))) (/ (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) z)) (+ (* -1 (/ (* (pow x 6) (pow (+ 1 (* 2 (/ 1 x))) 3)) (* (pow y 2) (* (pow z 3) (pow (+ 1 x) 2))))) (/ (* (pow x 4) (pow (+ 1 (* 2 (/ 1 x))) 2)) (* y (* (pow z 2) (+ 1 x)))))) y)
(/ (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (* y z))
(* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) z)) (/ (* (pow x 4) (pow (+ 1 (* 2 (/ 1 x))) 2)) (* y (* (pow z 2) (+ 1 x))))) y))
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(* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) z)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 8) (pow (+ 1 (* 2 (/ 1 x))) 4)) (* y (* (pow z 4) (pow (+ 1 x) 3)))) (/ (* (pow x 6) (pow (+ 1 (* 2 (/ 1 x))) 3)) (* (pow z 3) (pow (+ 1 x) 2)))) y)) (/ (* (pow x 4) (pow (+ 1 (* 2 (/ 1 x))) 2)) (* (pow z 2) (+ 1 x)))) y))) y))
(+ 1 x)
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(+ 1 (+ x (* z (- (/ (* (pow y 2) (* z (pow (+ 1 x) 3))) (* (pow x 4) (pow (+ 1 (* 2 (/ 1 x))) 2))) (/ (* y (pow (+ 1 x) 2)) (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))))))
(+ 1 (+ x (* z (- (* z (- (* -1 (/ (* (pow y 3) (* z (pow (+ 1 x) 4))) (* (pow x 6) (pow (+ 1 (* 2 (/ 1 x))) 3)))) (* -1 (/ (* (pow y 2) (pow (+ 1 x) 3)) (* (pow x 4) (pow (+ 1 (* 2 (/ 1 x))) 2)))))) (/ (* y (pow (+ 1 x) 2)) (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))))))
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(/ (+ (* -1 (/ (* (pow x 4) (pow (+ 1 (* 2 (/ 1 x))) 2)) (* (pow y 2) (* z (+ 1 x))))) (/ (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) y)) z)
(/ (- (+ (/ (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) y) (/ (* (pow x 6) (pow (+ 1 (* 2 (/ 1 x))) 3)) (* (pow y 3) (* (pow z 2) (pow (+ 1 x) 2))))) (/ (* (pow x 4) (pow (+ 1 (* 2 (/ 1 x))) 2)) (* (pow y 2) (* z (+ 1 x))))) z)
(/ (- (+ (* -1 (/ (* (pow x 8) (pow (+ 1 (* 2 (/ 1 x))) 4)) (* (pow y 4) (* (pow z 3) (pow (+ 1 x) 3))))) (/ (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) y)) (+ (* -1 (/ (* (pow x 6) (pow (+ 1 (* 2 (/ 1 x))) 3)) (* (pow y 3) (* (pow z 2) (pow (+ 1 x) 2))))) (/ (* (pow x 4) (pow (+ 1 (* 2 (/ 1 x))) 2)) (* (pow y 2) (* z (+ 1 x)))))) z)
(/ (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (* y z))
(* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) y)) (/ (* (pow x 4) (pow (+ 1 (* 2 (/ 1 x))) 2)) (* (pow y 2) (* z (+ 1 x))))) z))
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(* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 8) (pow (+ 1 (* 2 (/ 1 x))) 4)) (* (pow y 4) (* z (pow (+ 1 x) 3)))) (/ (* (pow x 6) (pow (+ 1 (* 2 (/ 1 x))) 3)) (* (pow y 3) (pow (+ 1 x) 2)))) z)) (/ (* (pow x 4) (pow (+ 1 (* 2 (/ 1 x))) 2)) (* (pow y 2) (+ 1 x)))) z))) z))
(* 2 (/ x (* y z)))
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(* x (+ (* x (- (* x (- (* -1 (* x (+ (* -2 (/ (* (+ (* -8 (/ (pow (- 1 (* 1/4 (* y z))) 2) (* (pow y 3) (pow z 3)))) (* -4 (/ (+ 1 (* -1/8 (* y z))) (* (pow y 2) (pow z 2))))) (- 1 (* 1/4 (* y z)))) (* y z))) (+ (* 4 (/ (- 1 (* 1/16 (* y z))) (* (pow y 2) (pow z 2)))) (* 8 (/ (* (+ 1 (* -1/8 (* y z))) (- 1 (* 1/4 (* y z)))) (* (pow y 3) (pow z 3)))))))) (+ (* -8 (/ (pow (- 1 (* 1/4 (* y z))) 2) (* (pow y 3) (pow z 3)))) (* -4 (/ (+ 1 (* -1/8 (* y z))) (* (pow y 2) (pow z 2))))))) (* 4 (/ (- 1 (* 1/4 (* y z))) (* (pow y 2) (pow z 2)))))) (* 2 (/ 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)))) (+ (* (- 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
(* -1 (* x (- (* -1 (/ (- 1 (* y z)) x)) 1)))
(* -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))) 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))
(+ (/ 1 (+ 1 x)) (/ (* y z) (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
(+ (/ 1 (+ 1 x)) (/ (* y z) (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
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(/ (* y z) (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(* y (+ (/ 1 (* y (+ 1 x))) (/ z (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))))
(* y (+ (/ 1 (* y (+ 1 x))) (/ z (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))))
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(/ (+ (* 1/2 (* y z)) (* x (- (+ 1 (* x (- (* x (- 1 (* 1/16 (* y z)))) (+ 1 (* -1/8 (* y z)))))) (* 1/4 (* y z))))) x)
(/ 1 x)
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(/ z (pow x 2))
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(/ z (pow x 2))
(/ (+ z (* -2 (/ z x))) (pow x 2))
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(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)

Outputs
(* -1 (* z (sin y)))
(neg.f64 (*.f64 z (sin.f64 y)))
(- x (* z (sin y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(- x (* z (sin y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(- x (* z (sin y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
x
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (neg.f64 x) x)
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (neg.f64 x) x)
(* x (+ 1 (* -1 (/ (* z (sin y)) x))))
(fma.f64 (/.f64 (*.f64 z (sin.f64 y)) x) (neg.f64 x) x)
x
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
(neg.f64 (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) #s(literal -1 binary64))))
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
(neg.f64 (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) #s(literal -1 binary64))))
(* -1 (* x (- (/ (* z (sin y)) x) 1)))
(neg.f64 (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) #s(literal -1 binary64))))
x
(+ x (* -1 (* z (sin y))))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+ x (* -1 (* z (sin y))))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(+ x (* -1 (* z (sin y))))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(* -1 (* z (sin y)))
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(* z (- (/ x z) (sin y)))
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(* z (- (/ x z) (sin y)))
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(* z (- (/ x z) (sin y)))
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(* -1 (* z (sin y)))
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(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
(neg.f64 (*.f64 (neg.f64 z) (-.f64 (/.f64 x z) (sin.f64 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
(neg.f64 (*.f64 (neg.f64 z) (-.f64 (/.f64 x z) (sin.f64 y))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (sin y)))))
(neg.f64 (*.f64 (neg.f64 z) (-.f64 (/.f64 x z) (sin.f64 y))))
x
(+ x (* -1 (* y z)))
(-.f64 x (*.f64 z y))
(+ x (* y (- (* 1/6 (* (pow y 2) z)) z)))
(fma.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) x)
(+ x (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) z)) (* -1/6 z))) z)))
(fma.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)) x)
(- x (* z (sin y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(- x (* z (sin y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(- x (* z (sin y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(- x (* z (sin y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(- x (* z (sin y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(- x (* z (sin y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(- x (* z (sin y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(- x (* z (sin y)))
(fma.f64 (sin.f64 y) (neg.f64 z) x)
(* 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))
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(* z (sin y))
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(* z (sin y))
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(* z (sin y))
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(* z (sin y))
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(* z (sin y))
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(* z (sin y))
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(* y z)
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(* y (+ z (* -1/6 (* (pow y 2) z))))
(.f64 z (fma.f64 y (.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(.f64 y (fma.f64 (.f64 y y) (.f64 z (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) z))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 z #s(literal -1/6 binary64))) z))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
(*.f64 z (sin.f64 y))
(* z (sin y))
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(* z (sin y))
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(* z (sin y))
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(* z (sin y))
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(* 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 y (.f64 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 (.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)
(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)
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(/.f64 z (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(/ z (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(/.f64 z (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(/ z (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(/.f64 z (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(/ z (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(/.f64 z (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(/ z (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(/.f64 z (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(/ z (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(/.f64 z (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(/ z (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(/.f64 z (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(* 1/2 (/ z x))
(/.f64 (*.f64 z #s(literal 1/2 binary64)) x)
(/ (+ (* -1/4 (* x z)) (* 1/2 z)) x)
(/.f64 (*.f64 z (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64))) x)
(/ (+ (* 1/2 z) (* x (- (* 1/8 (* x z)) (* 1/4 z)))) x)
(/.f64 (fma.f64 x (.f64 z (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64))) (.f64 z #s(literal 1/2 binary64))) x)
(/ (+ (* 1/2 z) (* x (- (* x (- (* -1/16 (* x z)) (* -1/8 z))) (* 1/4 z)))) x)
(/.f64 (fma.f64 x (fma.f64 x (.f64 z (fma.f64 x #s(literal -1/16 binary64) #s(literal 1/8 binary64))) (.f64 z #s(literal -1/4 binary64))) (*.f64 z #s(literal 1/2 binary64))) 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 (* 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 4 binary64) (/.f64 z (.f64 x x)) z)) (.f64 x x))
(/ (- (+ z (* -8 (/ z (pow x 3)))) (+ (* -4 (/ z (pow x 2))) (* 2 (/ z x)))) (pow x 2))
(/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 z (.f64 x (.f64 x x))) (-.f64 z (/.f64 (fma.f64 z #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (/.f64 z 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)) (* -2 z)) x))) (pow x 2))
(/.f64 (-.f64 z (/.f64 (fma.f64 z #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (/.f64 z x))) x)) (.f64 x x))
(/ (+ z (* -1 (/ (- (* -1 (/ (- (* -8 (/ z x)) (* -4 z)) x)) (* -2 z)) x))) (pow x 2))
(/.f64 (-.f64 z (/.f64 (fma.f64 z #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 z x) (.f64 z #s(literal 4 binary64))) (neg.f64 x))) x)) (.f64 x x))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))

eval171.0ms (1.5%)

Memory: 18.9MiB live, 295.4MiB allocated
Compiler: Compiled 36 639 to 2 820 computations (92.3% saved)

prune201.0ms (1.8%)

Memory

-24.8MiB live, 407.2MiB allocated

Pruning

40 alts after pruning (34 fresh and 6 done)

	Pruned	Kept	Total
New	1 036	15	1 051
Fresh	10	19	29
Picked	3	2	5
Done	0	4	4
Total	1 049	40	1 089

Accuracy

100.0%

Counts

1 089 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (cos.f64 y))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (.f64 z (sin.f64 y))))
	25.7%	(fma.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))
	35.7%	(fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) z) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (neg.f64 z) z)))) (+.f64 x #s(literal 1 binary64)))
	25.5%	(fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal 1 binary64))
	61.3%	(fma.f64 y (neg.f64 z) (+.f64 x #s(literal 1 binary64)))
	3.1%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 y z))
	46.1%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
	43.9%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (fma.f64 z (/.f64 #s(literal -2 binary64) x) z) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
	36.0%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (*.f64 z #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
	43.6%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 y (fma.f64 y x y))))
	46.1%	(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 z (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
	16.3%	(/.f64 #s(literal 1 binary64) (fma.f64 y z #s(literal 1 binary64)))
	58.6%	(/.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)))
	30.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (/.f64 x (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (cos.f64 y) (.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z))
	3.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z y) #s(literal 1/2 binary64)) x))
✓	42.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	58.5%	(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
✓	72.2%	(-.f64 x (*.f64 z (sin.f64 y)))
	46.6%	(-.f64 x (*.f64 z y))
✓	57.7%	(-.f64 x #s(literal -1 binary64))
	26.1%	(-.f64 #s(literal 1 binary64) (*.f64 y z))
	70.2%	(+.f64 (cos.f64 y) x)
	48.5%	(+.f64 x (fma.f64 x (.f64 (-.f64 (.f64 y #s(literal -1/2 binary64)) z) (/.f64 y x)) #s(literal 1 binary64)))
	59.4%	(+.f64 x (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x)))
	51.6%	(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (.f64 (.f64 z y) y) #s(literal 1/6 binary64) (neg.f64 z)) x))
	35.7%	(+.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (fma.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 z (.f64 #s(literal 1/6 binary64) (.f64 y y))) (.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z (.f64 #s(literal 1/6 binary64) (*.f64 y y))) (neg.f64 z)))) x))
	12.2%	(.f64 (.f64 z y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
	2.9%	(.f64 (.f64 y (.f64 y y)) (.f64 z #s(literal 1/6 binary64)))
	48.8%	(*.f64 z (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) z) y))
	51.1%	(*.f64 y (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) z))
	2.9%	(.f64 y (.f64 (.f64 (.f64 z y) y) #s(literal 1/6 binary64)))
	2.9%	(.f64 y (.f64 (.f64 (.f64 y y) z) #s(literal 1/6 binary64)))
	2.7%	(.f64 y (.f64 y #s(literal -1/2 binary64)))
	12.3%	(*.f64 y (neg.f64 z))
	2.2%	(.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 x (fma.f64 (.f64 z y) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 z (.f64 z (.f64 y y)))) (/.f64 #s(literal 2 binary64) (*.f64 z y))))
	3.1%	(.f64 x (/.f64 #s(literal 2 binary64) (.f64 z y)))
✓	31.8%	(neg.f64 (*.f64 z (sin.f64 y)))
	62.2%	(neg.f64 (*.f64 x (fma.f64 (sin.f64 y) (/.f64 z x) #s(literal -1 binary64))))
✓	42.8%	x
✓	17.0%	#s(literal 1 binary64)

Compiler

Compiled 1 334 to 590 computations (55.8% saved)

regimes110.0ms (1%)

Memory

4.3MiB live, 214.5MiB allocated

Counts

63 → 1

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	x
21.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
19.0ms	y
17.0ms	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)

regimes83.0ms (0.7%)

Memory

1.8MiB live, 157.2MiB allocated

Counts

56 → 3

Calls

Call 1

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

30.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
17.0ms	x
17.0ms	z
16.0ms	y

Results

Accuracy	Segments	Branch
98.4%	3	`x`
86.6%	3	`y`
95.2%	3	`z`
99.3%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes152.0ms (1.4%)

Memory

-4.5MiB live, 110.7MiB allocated

Counts

52 → 3

Calls

Call 1

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

78.0ms	x
41.0ms	z
16.0ms	y
14.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
79.9%	3	`y`
84.9%	3	`z`
70.2%	1	`x`
74.5%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes34.0ms (0.3%)

Memory

12.8MiB live, 52.0MiB allocated

Counts

51 → 3

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	y
14.0ms	z

Results

Accuracy	Segments	Branch
79.9%	3	`y`
77.3%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes64.0ms (0.6%)

Memory

8.6MiB live, 120.2MiB allocated

Counts

50 → 3

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	y
16.0ms	x
15.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
13.0ms	z

Results

Accuracy	Segments	Branch
65.2%	3	`x`
61.3%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
64.8%	3	`z`
67.5%	3	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

31 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
67.5%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-38.4MiB live, 15.6MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
67.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

10 → 3

Calls

Call 1

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

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:

4.0ms

Results

Accuracy	Segments	Branch
67.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

Memory

-0.8MiB live, 36.0MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	x
3.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
61.9%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
63.9%	3	`z`
63.4%	3	`x`
61.5%	3	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

-23.4MiB live, 15.9MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
63.4%	3	`x`
61.5%	2	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
61.2%	2	`z`
57.7%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

Memory

-13.3MiB live, 25.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
57.7%	1	`x`
57.7%	1	`y`
57.7%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
57.7%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB 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	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
46.2%	3	`y`
56.5%	3	`x`
42.8%	1	`z`
56.5%	3	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory

-26.4MiB live, 18.1MiB 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:

4.0ms	z
1.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
17.0%	1	`z`
17.0%	1	`y`
17.0%	1	`(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))`
17.0%	1	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	22829771619955.617	34593446451514284.0
0.0ms	-135029933400.5207	-4047383614.8773303

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch31.0ms (0.3%)

Memory

23.7MiB live, 61.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.6503816722438594e+63	8.119097616809148e+66
12.0ms	-5.354944958615822e+181	-9.78144299934763e+180

Samples

21.0ms

224×

valid

Compiler

Compiled 253 to 196 computations (22.5% saved)

Precisions

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

ival-sin: 7.0ms (45.1% of total)

ival-cos: 5.0ms (32.2% of total)

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

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

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

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

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

bsearch28.0ms (0.3%)

Memory

1.7MiB live, 40.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	18913.673248171053	28833.966419801953
17.0ms	-859.9537635593724	-0.0013422565068760101

Samples

18.0ms

208×

valid

Compiler

Compiled 262 to 196 computations (25.2% saved)

Precisions

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

ival-sin: 6.0ms (44.1% of total)

ival-cos: 4.0ms (29.4% of total)

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

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

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

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

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

bsearch42.0ms (0.4%)

Memory

-8.8MiB live, 72.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.9117087044283925e+71	1.2298571120577552e+72
26.0ms	-5.11858976118586e+57	-6.388587134778516e+44

Samples

31.0ms

240×

valid

Compiler

Compiled 390 to 284 computations (27.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-cos: 10.0ms (40.6% of total)

ival-sin: 8.0ms (32.5% of total)

ival-sub: 4.0ms (16.2% of total)

ival-mult: 2.0ms (8.1% of total)

ival-add: 1.0ms (4.1% of total)

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

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

bsearch49.0ms (0.4%)

Memory

13.8MiB live, 130.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	51553246.77778749	9.954834367055572e+19
21.0ms	-859.9537635593724	-0.0013422565068760101

Samples

35.0ms

304×

valid

Compiler

Compiled 414 to 318 computations (23.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-cos: 12.0ms (43.1% of total)

ival-sin: 11.0ms (39.5% of total)

ival-mult: 2.0ms (7.2% of total)

ival-sub: 1.0ms (3.6% of total)

ival-add: 1.0ms (3.6% of total)

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

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

bsearch30.0ms (0.3%)

Memory

3.7MiB live, 44.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.3037918343587402e+60	3.005471174368787e+60
22.0ms	-6.388587134778516e+44	-1.0060777067095448e+40

Samples

19.0ms

176×

valid

Compiler

Compiled 213 to 168 computations (21.1% saved)

Precisions

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

ival-cos: 6.0ms (41.5% of total)

ival-sin: 6.0ms (41.5% of total)

ival-sub: 1.0ms (6.9% of total)

ival-add: 1.0ms (6.9% of total)

ival-mult: 1.0ms (6.9% of total)

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

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

bsearch60.0ms (0.5%)

Memory

-25.1MiB live, 49.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.3037918343587402e+60	3.005471174368787e+60
50.0ms	-6.388587134778516e+44	-1.0060777067095448e+40

Samples

50.0ms

176×

valid

Compiler

Compiled 202 to 157 computations (22.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-cos: 37.0ms (80.9% of total)

ival-sin: 6.0ms (13.1% of total)

ival-sub: 1.0ms (2.2% of total)

ival-add: 1.0ms (2.2% of total)

ival-mult: 1.0ms (2.2% of total)

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

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

bsearch30.0ms (0.3%)

Memory

21.2MiB live, 58.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.6370780738421125e+234	5.3166566118263694e+237
12.0ms	-5.354944958615822e+181	-9.78144299934763e+180

Samples

20.0ms

224×

valid

Compiler

Compiled 239 to 182 computations (23.8% saved)

Precisions

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

ival-cos: 5.0ms (39.4% of total)

ival-sin: 4.0ms (31.5% of total)

ival-sub: 1.0ms (7.9% of total)

ival-add: 1.0ms (7.9% of total)

ival-mult: 1.0ms (7.9% of total)

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

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

bsearch48.0ms (0.4%)

Memory

-25.0MiB live, 70.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.212420123346895e-55	7.937352369185959e-54
28.0ms	-0.1036520500968464	-3.288814838463646e-5

Samples

34.0ms

240×

valid

Compiler

Compiled 255 to 209 computations (18% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sub: 13.0ms (47.1% of total)

ival-cos: 6.0ms (21.7% of total)

ival-sin: 5.0ms (18.1% of total)

ival-mult: 2.0ms (7.2% of total)

ival-add: 1.0ms (3.6% of total)

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

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

bsearch14.0ms (0.1%)

Memory

-3.9MiB live, 35.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-6.63349101555939e+196	-1.3949594971072515e+196

Samples

10.0ms

96×

valid

Compiler

Compiled 105 to 86 computations (18.1% saved)

Precisions

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

ival-cos: 4.0ms (52.1% of total)

ival-sin: 2.0ms (26.1% of total)

ival-mult: 1.0ms (13% of total)

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

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

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

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

bsearch45.0ms (0.4%)

Memory

18.4MiB live, 100.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.3158826178817935e-5	657.9014045595676
18.0ms	-4047383615.8773303	-147.6063334624068

Samples

24.0ms	276×	0	valid
3.0ms	4×	3	valid
1.0ms	7×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 195 to 176 computations (9.7% saved)

Precisions

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

ival-cos: 8.0ms (39.9% of total)

ival-sin: 6.0ms (30% of total)

ival-add: 2.0ms (10% of total)

ival-mult: 2.0ms (10% of total)

ival-sub: 1.0ms (5% of total)

adjust: 0.0ms (0% of total)

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

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

simplify15.0ms (0.1%)

Memory

-5.3MiB live, 33.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	227
1	158	227
2	182	227
3	192	227
4	196	227

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 -100000000000 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 40000000000000 binary64)) (+.f64 (cos.f64 y) x) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -35999999999999998490192566471204305605186999551493508779642830334337581287422779473295703668088647752619882545442580520565371735613694081899353747548837361039310200827063056157638656 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7999999999999999562578670945979561005677172560169983397326732918784 binary64)) (+.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y)))))
(if (<=.f64 y #s(literal -3314649325744685/144115188075855872 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 19000 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 z) x)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y #s(literal -650000000000000017724767877359578367790153728 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 600000000000000025128915338526874775394860319984202969886056627084197888 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))) (neg.f64 z)) x)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -47 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 300000000 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -34999999999999999249862370072569072058368 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 2699999999999999934707649937397844993716140002210964016463872 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 z) x)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -43999999999999997951666230157854445142016 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 2699999999999999934707649937397844993716140002210964016463872 binary64)) (-.f64 x (fma.f64 y z #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -22000000000000001124845557560061784980054913890555110246479440378167469584613345835690344511655764385133333809052349305465066055641878208345278152758139667988342698374728662166536192 binary64)) (-.f64 x (.f64 y z)) (if (<=.f64 z #s(literal 4699999999999999854518338195349900894460692541717296588288229644689775559801047508682515766366383320419740251119681108236885539455125696383127970442264857154331177698574630151009930013788274738512177829280205710263251030331234543730688 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 x (.f64 y z))))
(if (<=.f64 x #s(literal -5902958103587057/147573952589676412928 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 8627182933488205/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -59999999999999997068597547835410792320334962767117300196799503343441070342499755099670327335034041368575252692602829540241689519503314958555814415557658723962622199230240550004663419229374517346304 binary64)) (*.f64 y (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(if (<=.f64 x #s(literal -150 binary64)) x (if (<=.f64 x #s(literal 1 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 -100000000000 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 40000000000000 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 -100000000000 binary64)) (-.f64 x (.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (.f64 z (sin.f64 y))) #s(literal 40000000000000 binary64)) (+.f64 x (cos.f64 y)) (-.f64 x (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -35999999999999998490192566471204305605186999551493508779642830334337581287422779473295703668088647752619882545442580520565371735613694081899353747548837361039310200827063056157638656 binary64)) (neg.f64 (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 7999999999999999562578670945979561005677172560169983397326732918784 binary64)) (+.f64 (cos.f64 y) x) (neg.f64 (.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -35999999999999998490192566471204305605186999551493508779642830334337581287422779473295703668088647752619882545442580520565371735613694081899353747548837361039310200827063056157638656 binary64)) (.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 z #s(literal 7999999999999999562578670945979561005677172560169983397326732918784 binary64)) (+.f64 x (cos.f64 y)) (.f64 (sin.f64 y) (neg.f64 z))))
(if (<=.f64 y #s(literal -3314649325744685/144115188075855872 binary64)) (+.f64 (cos.f64 y) x) (if (<=.f64 y #s(literal 19000 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 z) x)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y #s(literal -3314649325744685/144115188075855872 binary64)) (+.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 19000 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 z) x)) (+.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -650000000000000017724767877359578367790153728 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 600000000000000025128915338526874775394860319984202969886056627084197888 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (.f64 y (.f64 z #s(literal 1/6 binary64))) (neg.f64 z)) x)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -47 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 300000000 binary64)) (fma.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) z) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -34999999999999999249862370072569072058368 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 2699999999999999934707649937397844993716140002210964016463872 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 z) x)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -43999999999999997951666230157854445142016 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 y #s(literal 2699999999999999934707649937397844993716140002210964016463872 binary64)) (-.f64 x (fma.f64 y z #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -22000000000000001124845557560061784980054913890555110246479440378167469584613345835690344511655764385133333809052349305465066055641878208345278152758139667988342698374728662166536192 binary64)) (-.f64 x (.f64 y z)) (if (<=.f64 z #s(literal 4699999999999999854518338195349900894460692541717296588288229644689775559801047508682515766366383320419740251119681108236885539455125696383127970442264857154331177698574630151009930013788274738512177829280205710263251030331234543730688 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 x (.f64 y z))))
(if (<=.f64 x #s(literal -5902958103587057/147573952589676412928 binary64)) (+.f64 x #s(literal 1 binary64)) (if (<=.f64 x #s(literal 8627182933488205/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y z)) (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -59999999999999997068597547835410792320334962767117300196799503343441070342499755099670327335034041368575252692602829540241689519503314958555814415557658723962622199230240550004663419229374517346304 binary64)) (*.f64 y (neg.f64 z)) (+.f64 x #s(literal 1 binary64)))
(if (<=.f64 z #s(literal -59999999999999997068597547835410792320334962767117300196799503343441070342499755099670327335034041368575252692602829540241689519503314958555814415557658723962622199230240550004663419229374517346304 binary64)) (neg.f64 (*.f64 y z)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(if (<=.f64 x #s(literal -150 binary64)) x (if (<=.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) x))
#s(literal 1 binary64)

soundness1.2s (11.2%)

Memory

38.5MiB live, 820.1MiB allocated

Rules

12 396×	`accelerator-lowering-fma.f32`
12 396×	`accelerator-lowering-fma.f64`
8 066×	`accelerator-lowering-fma.f32`
8 066×	`accelerator-lowering-fma.f64`
7 392×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	499	4413
1	1538	4250
2	4927	4160
0	8185	3950
0	833	5193
1	2564	5046
2	7945	5042
0	8405	4737
0	118	674
1	334	669
2	869	661
3	2601	657
4	5310	657
5	7449	657
0	8079	629

Stop Event

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

Compiler

Compiled 547 to 302 computations (44.8% saved)

preprocess250.0ms (2.3%)

Memory: 3.5MiB live, 193.3MiB allocated
Compiler: Compiled 536 to 200 computations (62.7% 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 (12.6%)

preprocess72.0ms (0.7%)

explain175.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify37.0ms (0.3%)

localize50.0ms (0.5%)

series6.0ms (0.1%)

rewrite387.0ms (3.5%)

simplify531.0ms (4.8%)

eval39.0ms (0.3%)

prune40.0ms (0.4%)

simplify458.0ms (4.1%)

localize97.0ms (0.9%)

series26.0ms (0.2%)

rewrite364.0ms (3.3%)

simplify409.0ms (3.7%)

eval156.0ms (1.4%)

prune169.0ms (1.5%)

simplify243.0ms (2.2%)

localize139.0ms (1.3%)

series81.0ms (0.7%)

rewrite409.0ms (3.7%)

simplify655.0ms (5.9%)

eval175.0ms (1.6%)

prune187.0ms (1.7%)

simplify227.0ms (2.1%)

localize199.0ms (1.8%)

series28.0ms (0.3%)

rewrite810.0ms (7.3%)

simplify700.0ms (6.3%)

eval171.0ms (1.5%)

prune201.0ms (1.8%)

regimes110.0ms (1%)

regimes83.0ms (0.7%)

regimes152.0ms (1.4%)

regimes34.0ms (0.3%)

regimes64.0ms (0.6%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes4.0ms (0%)

regimes16.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch31.0ms (0.3%)

bsearch28.0ms (0.3%)

bsearch42.0ms (0.4%)

bsearch49.0ms (0.4%)

bsearch30.0ms (0.3%)

bsearch60.0ms (0.5%)

bsearch30.0ms (0.3%)

bsearch48.0ms (0.4%)

bsearch14.0ms (0.1%)

bsearch45.0ms (0.4%)

simplify15.0ms (0.1%)

soundness1.2s (11.2%)

preprocess250.0ms (2.3%)

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