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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.6s (15.5%)

Memory

6.0MiB live, 1 630.5MiB allocated

Samples

1.4s	8 254×	0	valid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 979.0ms

ival-sin: 463.0ms (47.3% of total)

ival-cos: 361.0ms (36.9% of total)

ival-mult: 74.0ms (7.6% of total)

ival-add: 72.0ms (7.4% of total)

ival-true: 6.0ms (0.6% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

preprocess73.0ms (0.7%)

Memory

13.6MiB live, 52.4MiB allocated

Algorithm

2×	egg-herbie

Rules

352×	`sub-neg`
300×	`associate-+l-`
296×	`cancel-sign-sub-inv`
288×	`distribute-rgt-in`
244×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	99
1	95	91
2	241	90
3	600	90
4	1066	90
5	1467	90
6	1765	90
7	1957	90
8	2064	90
9	2124	90
10	2138	90
11	2138	90
0	8	9
1	13	9
2	20	9
3	22	9
0	22	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain115.0ms (1.1%)

Memory

-3.0MiB live, 285.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

55.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-sin: 18.0ms (49.8% of total)

ival-cos: 10.0ms (27.7% of total)

ival-add: 4.0ms (11.1% of total)

ival-mult: 3.0ms (8.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory

-28.7MiB live, 8.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(+.f64 x (sin.f64 y))
✓	cost-diff	128	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

Rules

24×	`+-lowering-+.f64`
24×	`+-lowering-+.f32`
12×	`accelerator-lowering-fma.f32`
12×	`accelerator-lowering-fma.f64`
10×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	13	24
2	20	24
3	22	24
0	22	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize36.0ms (0.3%)

Memory

23.2MiB live, 63.5MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

27.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-sin: 6.0ms (42.3% of total)

ival-cos: 5.0ms (35.2% of total)

ival-add: 2.0ms (14.1% of total)

ival-mult: 2.0ms (14.1% of total)

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

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

series6.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite351.0ms (3.3%)

Memory

-10.8MiB live, 540.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 470×	`-lowering-.f32`
4 470×	`-lowering-.f64`
4 404×	`accelerator-lowering-fma.f32`
4 404×	`accelerator-lowering-fma.f64`
2 454×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	38	19
2	357	19
3	5535	19
0	8305	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 171

Calls

Call 1

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

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

simplify294.0ms (2.8%)

Memory

14.1MiB live, 519.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 212×	`accelerator-lowering-fma.f32`
11 212×	`accelerator-lowering-fma.f64`
3 050×	`-lowering-.f32`
3 050×	`-lowering-.f64`
2 392×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	591
1	282	587
2	797	577
3	2037	575
4	3964	575
5	7253	575
0	8423	528

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval42.0ms (0.4%)

Memory: -9.7MiB live, 74.5MiB allocated
Compiler: Compiled 6 499 to 590 computations (90.9% saved)

prune38.0ms (0.4%)

Memory

7.2MiB live, 82.2MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	253	14	267
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	254	14	268

Accuracy

100.0%

Counts

268 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))
	57.1%	(+.f64 (+.f64 x (sin.f64 y)) (fma.f64 (.f64 y (.f64 y z)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))
	58.3%	(+.f64 (sin.f64 y) x)
	69.0%	(+.f64 z x)
▶	59.1%	(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
	67.2%	(+.f64 y (+.f64 z x))
	56.8%	(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
	85.6%	(+.f64 x (*.f64 z (cos.f64 y)))
	46.0%	(.f64 (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) (/.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) 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 (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
	45.9%	(.f64 (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) (.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))))
	99.7%	(.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
▶	43.0%	(*.f64 z (cos.f64 y))
▶	44.0%	x

Compiler

Compiled 578 to 272 computations (52.9% saved)

simplify24.0ms (0.2%)

Memory

7.1MiB live, 47.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

452×	`accelerator-lowering-fma.f32`
452×	`accelerator-lowering-fma.f64`
202×	`-lowering-.f32`
202×	`-lowering-.f64`
132×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	111
1	51	111
2	115	111
3	214	111
4	246	111
5	263	111
6	287	111
0	287	101

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize71.0ms (0.7%)

Memory

22.5MiB live, 137.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(fma.f64 z (cos.f64 y) x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(*.f64 z (cos.f64 y))
✓	accuracy	100.0%	(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	95.7%	(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(+.f64 x (sin.f64 y))
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))

Samples

47.0ms

256×

valid

Compiler

Compiled 107 to 23 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-add: 7.0ms (24.3% of total)

ival-mult: 7.0ms (24.3% of total)

ival-cos: 6.0ms (20.8% of total)

ival-sin: 5.0ms (17.4% of total)

ival-div: 3.0ms (10.4% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Memory

-13.6MiB live, 29.0MiB allocated

Counts

13 → 348

Calls

Call 1

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

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

Calls

87 calls:

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

rewrite590.0ms (5.6%)

Memory

-124.4MiB live, 585.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 216×	`accelerator-lowering-fma.f32`
6 216×	`accelerator-lowering-fma.f64`
4 124×	`/-lowering-/.f32`
4 124×	`/-lowering-/.f64`
3 654×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	90
1	148	90
2	1297	90
0	8161	80

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 695

Calls

Call 1

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

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

simplify460.0ms (4.4%)

Memory

16.4MiB live, 618.5MiB allocated

Algorithm

1×	egg-herbie

Rules

15 660×	`accelerator-lowering-fma.f32`
15 660×	`accelerator-lowering-fma.f64`
5 458×	`-lowering-.f32`
5 458×	`-lowering-.f64`
5 032×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	349	3698
1	1065	3659
2	3337	3507
0	8214	3216

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

eval170.0ms (1.6%)

Memory: 15.7MiB live, 246.9MiB allocated
Compiler: Compiled 27 391 to 1 964 computations (92.8% saved)

prune160.0ms (1.5%)

Memory

-16.7MiB live, 268.6MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1 063	21	1 084
Fresh	6	3	9
Picked	3	2	5
Done	0	0	0
Total	1 072	26	1 098

Accuracy

100.0%

Counts

1 098 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.0%	(fma.f64 (.f64 z (.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
▶	26.5%	(fma.f64 (.f64 y y) (fma.f64 z (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
	85.6%	(fma.f64 (cos.f64 y) z x)
	26.4%	(fma.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))) z)
	50.8%	(fma.f64 x (fma.f64 z (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 y x)) x)
	86.6%	(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
	26.7%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) #s(literal -1/2 binary64))
	42.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z))
	67.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 z y))))
	68.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
▶	43.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
	48.2%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (.f64 (cos.f64 y) z) (sin.f64 y)) (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (/.f64 x (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))))
	63.4%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
	58.3%	(+.f64 (sin.f64 y) x)
	56.8%	(+.f64 z (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x))
	69.0%	(+.f64 z x)
▶	60.1%	(+.f64 y (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) y (+.f64 z x)))
	54.3%	(+.f64 y (fma.f64 z (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))) x))
	67.2%	(+.f64 y (+.f64 z x))
	42.8%	(+.f64 y x)
▶	86.7%	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x))
	26.5%	(.f64 z (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	3.1%	(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
✓	43.0%	(*.f64 z (cos.f64 y))
▶	27.0%	z
✓	44.0%	x

Compiler

Compiled 817 to 470 computations (42.5% saved)

simplify330.0ms (3.1%)

Memory

-4.8MiB live, 308.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
✓	cost-diff	0	(.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 z (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
✓	cost-diff	320	(fma.f64 z (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 z (.f64 y #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 y (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) y (+.f64 z x)))
✓	cost-diff	128	(fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) y (+.f64 z x))
✓	cost-diff	0	(fma.f64 z (cos.f64 y) (sin.f64 y))
✓	cost-diff	0	(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))
✓	cost-diff	1152	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x))

Rules

7 098×	`accelerator-lowering-fma.f32`
7 098×	`accelerator-lowering-fma.f64`
2 472×	`-lowering-.f32`
2 472×	`-lowering-.f64`
1 694×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	187
1	93	187
2	280	187
3	806	186
4	1956	182
5	3954	182
6	5403	182
7	7168	182
0	8020	166

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize206.0ms (2%)

Memory

-16.3MiB live, 232.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(*.f64 z (cos.f64 y))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
✓	accuracy	99.9%	(fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
✓	accuracy	99.7%	(.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
✓	accuracy	99.6%	(*.f64 y #s(literal -1/720 binary64))
✓	accuracy	97.8%	(fma.f64 z (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (.f64 z #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(+.f64 y (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) y (+.f64 z x)))
✓	accuracy	100.0%	(.f64 z (.f64 y #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) y (+.f64 z x))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))
✓	accuracy	99.9%	(fma.f64 z (cos.f64 y) (sin.f64 y))
✓	accuracy	99.8%	(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
✓	accuracy	86.7%	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x))

Samples

152.0ms

256×

valid

Compiler

Compiled 183 to 37 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-sin: 39.0ms (41.8% of total)

ival-mult: 27.0ms (28.9% of total)

ival-add: 8.0ms (8.6% of total)

ival-cos: 6.0ms (6.4% of total)

const: 6.0ms (6.4% of total)

ival-div: 5.0ms (5.4% of total)

ival-sub: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series62.0ms (0.6%)

Memory

36.8MiB live, 73.8MiB allocated

Counts

19 → 432

Calls

Call 1

Inputs
#<alt (* (- -1 (/ (+ (* z (cos y)) (sin y)) x)) (neg x))>
#<alt (- -1 (/ (+ (* z (cos y)) (sin y)) x))>
#<alt (/ (+ (* z (cos y)) (sin y)) x)>
#<alt (+ (* z (cos y)) (sin y))>
#<alt (+ (* (* z (* y -1/2)) y) (+ z x))>
#<alt (+ y (+ (* (* z (* y -1/2)) y) (+ z x)))>
#<alt (* z (* y -1/2))>
#<alt (* y -1/2)>
#<alt (+ (* z (* y (* y (+ (* y (* y -1/720)) 1/24)))) (* z -1/2))>
#<alt (+ (* (* y y) (+ (* z (* y (* y (+ (* y (* y -1/720)) 1/24)))) (* z -1/2))) z)>
#<alt (* y y)>
#<alt (* y (* y (+ (* y (* y -1/720)) 1/24)))>
#<alt (/ 1 (/ 1 (* z (cos y))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (cos y)>
#<alt (* y -1/720)>
#<alt (* y (+ (* y (* y -1/720)) 1/24))>
#<alt (+ (* y (* y -1/720)) 1/24)>

Outputs
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt (+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))>
#<alt (+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))>
#<alt (+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))>
#<alt (* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))>
#<alt (* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (+ y (* x (+ 1 (/ z x))))>
#<alt (+ (* x (+ 1 (/ z x))) (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ (* x (+ 1 (/ z x))) (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (* -1 (+ 1 (/ (sin y) x)))>
#<alt (- (* -1 (/ (* z (cos y)) x)) (+ 1 (/ (sin y) x)))>
#<alt (- (* -1 (/ (* z (cos y)) x)) (+ 1 (/ (sin y) x)))>
#<alt (- (* -1 (/ (* z (cos y)) x)) (+ 1 (/ (sin y) x)))>
#<alt (* -1 (/ (* z (cos y)) x))>
#<alt (* z (- (* -1 (/ (+ 1 (/ (sin y) x)) z)) (/ (cos y) x)))>
#<alt (* z (- (* -1 (/ (+ 1 (/ (sin y) x)) z)) (/ (cos y) x)))>
#<alt (* z (- (* -1 (/ (+ 1 (/ (sin y) x)) z)) (/ (cos y) x)))>
#<alt (* -1 (/ (* z (cos y)) x))>
#<alt (* -1 (* z (- (+ (/ 1 z) (/ (sin y) (* x z))) (* -1 (/ (cos y) x)))))>
#<alt (* -1 (* z (- (+ (/ 1 z) (/ (sin y) (* x z))) (* -1 (/ (cos y) x)))))>
#<alt (* -1 (* z (- (+ (/ 1 z) (/ (sin y) (* x z))) (* -1 (/ (cos y) x)))))>
#<alt (* -1 (+ 1 (/ z x)))>
#<alt (- (* -1 (/ y x)) (+ 1 (/ z x)))>
#<alt (- (* y (- (* 1/2 (/ (* y z) x)) (/ 1 x))) (+ 1 (/ z x)))>
#<alt (- (* y (- (* y (- (* 1/6 (/ y x)) (* -1/2 (/ z x)))) (/ 1 x))) (+ 1 (/ z x)))>
#<alt (* -1 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* -1 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* -1 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* -1 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* -1 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* -1 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* -1 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* -1 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* -1 (/ (+ (sin y) (* z (cos y))) x))>
#<alt (/ (- (* -1 x) (+ (sin y) (* z (cos y)))) x)>
#<alt (/ (- (* -1 x) (+ (sin y) (* z (cos y)))) x)>
#<alt (/ (- (* -1 x) (+ (sin y) (* z (cos y)))) x)>
#<alt -1>
#<alt (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)>
#<alt (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)>
#<alt (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)>
#<alt -1>
#<alt (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)>
#<alt (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)>
#<alt (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)>
#<alt (/ (sin y) x)>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (/ (* z (cos y)) x)>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (/ (* z (cos y)) x)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (/ z x)>
#<alt (+ (/ y x) (/ z x))>
#<alt (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))>
#<alt (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (sin y)>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt z>
#<alt (+ y z)>
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt x>
#<alt (+ x (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ x (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ x (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1)))>
#<alt (+ x z)>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (+ x (+ z (* -1/2 (* (pow y 2) z))))>
#<alt x>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1)))>
#<alt (+ x z)>
#<alt (+ x (+ y z))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))>
#<alt (* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 z) (/ 1 y)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))>
#<alt (* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))>
#<alt (+ x y)>
#<alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (+ y (+ z (* -1/2 (* (pow y 2) z))))>
#<alt (+ x (+ y (+ z (* -1/2 (* (pow y 2) z)))))>
#<alt (+ x (+ y (+ z (* -1/2 (* (pow y 2) z)))))>
#<alt (+ x (+ y (+ z (* -1/2 (* (pow y 2) z)))))>
#<alt x>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (/ y x) (/ z x)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (/ y x) (/ z x)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (/ y x) (/ z x)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ y (+ z (* -1/2 (* (pow y 2) z)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y (+ z (* -1/2 (* (pow y 2) z)))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ y (+ z (* -1/2 (* (pow y 2) z)))) x)) 1)))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -1/2 (* y z))>
#<alt (* -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 (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))>
#<alt (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))>
#<alt (* -1/720 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* -1/720 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* -1/720 (* (pow y 6) z))>
#<alt (* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6))))))>
#<alt (* -1/720 (* (pow y 6) z))>
#<alt (* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6))))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))>
#<alt (* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))>
#<alt (* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))>
#<alt (* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))>
#<alt (* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* -1/720 (pow y 4))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* -1/720 (pow y 4))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 z)>
#<alt (+ (* 1/2 (/ (pow y 2) z)) (/ 1 z))>
#<alt (+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) z)) (* 5/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ 1 (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt 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 (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* -1/720 y)>
#<alt (* 1/24 y)>
#<alt (* y (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* y (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* y (+ 1/24 (* -1/720 (pow y 2))))>
#<alt (* -1/720 (pow y 3))>
#<alt (* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* -1/720 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))>
#<alt 1/24>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (+ 1/24 (* -1/720 (pow y 2)))>
#<alt (* -1/720 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* -1/720 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>
#<alt (* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))>

Calls

108 calls:

Time	Variable		Point	Expression
25.0ms	y	@	0	(* z (* y -1/2))
5.0ms	y	@	-inf	(+ (* y (* y -1/720)) 1/24)
3.0ms	x	@	0	(* (- -1 (/ (+ (* z (cos y)) (sin y)) x)) (neg x))
1.0ms	z	@	0	(+ (* z (* y (* y (+ (* y (* y -1/720)) 1/24)))) (* z -1/2))
1.0ms	y	@	inf	(* (- -1 (/ (+ (* z (cos y)) (sin y)) x)) (neg x))

rewrite872.0ms (8.3%)

Memory

-5.5MiB live, 599.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 480×	`accelerator-lowering-fma.f32`
6 480×	`accelerator-lowering-fma.f64`
4 980×	`-lowering-.f32`
4 980×	`-lowering-.f64`
3 936×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	158
1	210	158
2	1894	158
0	8715	143

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 572

Calls

Call 1

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

Outputs
(+.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 x) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x))))
(+.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)) (neg.f64 x)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x))))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 3 binary64))) (neg.f64 x)) (fma.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 2 binary64))) (neg.f64 x)) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 3 binary64))) (neg.f64 x))) (neg.f64 (fma.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 2 binary64))) (neg.f64 x))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (neg.f64 x) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x))) (.f64 (neg.f64 x) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)))) (.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 x) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 x)) (-.f64 (.f64 (.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)) (neg.f64 x)) (.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)) (neg.f64 x))) (.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)) (neg.f64 x))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)))
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) x)
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) #s(literal -1 binary64)) x)
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)))
(+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) (/.f64 (pow.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)))) (/.f64 (pow.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal -1 binary64))
(fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) x) #s(literal -1 binary64))
(fma.f64 (/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (sin.f64 y) (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))) #s(literal -1 binary64)) #s(literal -1 binary64))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64))))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 y y)))) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64)) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 y y)))))
(fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
(fma.f64 (*.f64 y #s(literal -1/720 binary64)) y #s(literal 1/24 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) #s(literal -1/17280 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64)) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) #s(literal -1/17280 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64)) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) #s(literal -1/17280 binary64)))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64)) (.f64 (*.f64 y y) #s(literal -1/17280 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) #s(literal -1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64)) (.f64 (*.f64 y y) #s(literal -1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64))) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) #s(literal -1/17280 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 y y)))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 y y) #s(literal -1/17280 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64)) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 y y) #s(literal -1/17280 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64))))

simplify500.0ms (4.8%)

Memory

-2.6MiB live, 508.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 126×	`accelerator-lowering-fma.f32`
13 126×	`accelerator-lowering-fma.f64`
4 356×	`-lowering-.f32`
4 356×	`-lowering-.f64`
3 258×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	285	4330
1	908	4287
2	2765	4035
3	6509	3909
0	8339	3558

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
(* x (+ 1 (/ (sin y) x)))
(+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))
(+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))
(+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))
(* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))
(* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))
(* x (+ 1 (/ z x)))
(+ y (* x (+ 1 (/ z x))))
(+ (* x (+ 1 (/ z x))) (* y (+ 1 (* -1/2 (* y z)))))
(+ (* x (+ 1 (/ z x))) (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (+ 1 (/ (sin y) x)))
(- (* -1 (/ (* z (cos y)) x)) (+ 1 (/ (sin y) x)))
(- (* -1 (/ (* z (cos y)) x)) (+ 1 (/ (sin y) x)))
(- (* -1 (/ (* z (cos y)) x)) (+ 1 (/ (sin y) x)))
(* -1 (/ (* z (cos y)) x))
(* z (- (* -1 (/ (+ 1 (/ (sin y) x)) z)) (/ (cos y) x)))
(* z (- (* -1 (/ (+ 1 (/ (sin y) x)) z)) (/ (cos y) x)))
(* z (- (* -1 (/ (+ 1 (/ (sin y) x)) z)) (/ (cos y) x)))
(* -1 (/ (* z (cos y)) x))
(* -1 (* z (- (+ (/ 1 z) (/ (sin y) (* x z))) (* -1 (/ (cos y) x)))))
(* -1 (* z (- (+ (/ 1 z) (/ (sin y) (* x z))) (* -1 (/ (cos y) x)))))
(* -1 (* z (- (+ (/ 1 z) (/ (sin y) (* x z))) (* -1 (/ (cos y) x)))))
(* -1 (+ 1 (/ z x)))
(- (* -1 (/ y x)) (+ 1 (/ z x)))
(- (* y (- (* 1/2 (/ (* y z) x)) (/ 1 x))) (+ 1 (/ z x)))
(- (* y (- (* y (- (* 1/6 (/ y x)) (* -1/2 (/ z x)))) (/ 1 x))) (+ 1 (/ z x)))
(* -1 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* -1 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* -1 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* -1 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* -1 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* -1 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* -1 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* -1 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* -1 (/ (+ (sin y) (* z (cos y))) x))
(/ (- (* -1 x) (+ (sin y) (* z (cos y)))) x)
(/ (- (* -1 x) (+ (sin y) (* z (cos y)))) x)
(/ (- (* -1 x) (+ (sin y) (* z (cos y)))) x)
-1
(- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)
(- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)
(- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)
-1
(- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)
(- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)
(- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)
(/ (sin y) x)
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(/ (* z (cos y)) x)
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(/ (* z (cos y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(/ z x)
(+ (/ y x) (/ z x))
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(sin y)
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
z
(+ y z)
(+ z (* y (+ 1 (* -1/2 (* y z)))))
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
x
(+ x (* z (+ 1 (* -1/2 (pow y 2)))))
(+ x (* z (+ 1 (* -1/2 (pow y 2)))))
(+ x (* z (+ 1 (* -1/2 (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ x z)) (* 1/2 (pow y 2))) 1)))
(+ x z)
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(+ z (* -1/2 (* (pow y 2) z)))
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(+ x (+ z (* -1/2 (* (pow y 2) z))))
x
(* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
x
(* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) 1)))
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2))))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)))
(+ x y)
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2))))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1)))
(+ y (+ z (* -1/2 (* (pow y 2) z))))
(+ x (+ y (+ z (* -1/2 (* (pow y 2) z)))))
(+ x (+ y (+ z (* -1/2 (* (pow y 2) z)))))
(+ x (+ y (+ z (* -1/2 (* (pow y 2) z)))))
x
(* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (/ y x) (/ z x)))))
(* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (/ y x) (/ z x)))))
(* x (+ 1 (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (/ y x) (/ z x)))))
x
(* -1 (* x (- (* -1 (/ (+ y (+ z (* -1/2 (* (pow y 2) z)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y (+ z (* -1/2 (* (pow y 2) z)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y (+ z (* -1/2 (* (pow y 2) z)))) x)) 1)))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -1/2 (* y z))
(* -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)
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))
(* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))
(* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))
(* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))
(* -1/2 z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))
(+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))
(* -1/720 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* -1/720 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* -1/720 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6))))))
(* -1/720 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6))))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 1/24 (pow y 2))
(* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))
(* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))
(* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))
(* -1/720 (pow y 4))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/720 (pow y 4))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 z)
(+ (* 1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (+ (* 5/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 61/720 (/ (pow y 2) z)) (* 5/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(/ 1 (* z (cos y)))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
(* z (cos y))
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)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* -1/720 y)
(* 1/24 y)
(* y (+ 1/24 (* -1/720 (pow y 2))))
(* y (+ 1/24 (* -1/720 (pow y 2))))
(* y (+ 1/24 (* -1/720 (pow y 2))))
(* -1/720 (pow y 3))
(* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 3) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/720 (pow y 3))
(* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (- 1/720 (* 1/24 (/ 1 (pow y 2))))))
1/24
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))

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

eval155.0ms (1.5%)

Memory: 16.3MiB live, 290.9MiB allocated
Compiler: Compiled 25 773 to 2 215 computations (91.4% saved)

prune124.0ms (1.2%)

Memory

-8.5MiB live, 303.6MiB allocated

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1 003	14	1 017
Fresh	6	13	19
Picked	3	2	5
Done	0	2	2
Total	1 012	31	1 043

Accuracy

100.0%

Counts

1 043 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.5%	(fma.f64 (.f64 (.f64 z y) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64))) y z)
	26.0%	(fma.f64 (.f64 z (.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
	26.4%	(fma.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y) z)
	25.7%	(fma.f64 (.f64 y y) (fma.f64 z (/.f64 (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64))) (.f64 z #s(literal -1/2 binary64))) z)
▶	26.2%	(fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal -1/720 binary64)))) z)
	85.6%	(fma.f64 (cos.f64 y) z x)
▶	86.7%	(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))
	50.8%	(fma.f64 x (fma.f64 z (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 y x)) x)
	26.7%	(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) #s(literal -1/2 binary64))
	42.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
	43.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
	67.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 z y))))
✓	43.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
▶	27.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	63.4%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
	58.3%	(+.f64 (sin.f64 y) x)
	56.8%	(+.f64 z (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x))
	69.0%	(+.f64 z x)
▶	54.3%	(+.f64 y (fma.f64 z (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))) x))
	67.2%	(+.f64 y (+.f64 z x))
▶	42.8%	(+.f64 y x)
	86.6%	(*.f64 (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))
	48.0%	(.f64 (-.f64 (fma.f64 y (fma.f64 y (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) (.f64 (/.f64 y x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 z x)) (neg.f64 x))
	58.7%	(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 y x)) (neg.f64 x))
	58.8%	(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x)) (neg.f64 x))
	29.9%	(.f64 (neg.f64 (/.f64 (.f64 z (cos.f64 y)) x)) (neg.f64 x))
	3.1%	(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
✓	43.0%	(*.f64 z (cos.f64 y))
	3.1%	(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
✓	27.0%	z
✓	44.0%	x

Compiler

Compiled 866 to 519 computations (40.1% saved)

simplify315.0ms (3%)

Memory

-25.5MiB live, 621.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64)))))
✓	cost-diff	0	(fma.f64 z (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))) x)
✓	cost-diff	0	(+.f64 y (fma.f64 z (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))) x))
✓	cost-diff	768	(-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 y (*.f64 y #s(literal -1/2 binary64))))
✓	cost-diff	0	(.f64 z (.f64 (*.f64 y y) #s(literal -1/720 binary64)))
✓	cost-diff	0	(.f64 (.f64 y y) (.f64 z (.f64 (*.f64 y y) #s(literal -1/720 binary64))))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal -1/720 binary64)))) z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) z)
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64))
✓	cost-diff	896	(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))

Rules

11 056×	`accelerator-lowering-fma.f32`
11 056×	`accelerator-lowering-fma.f64`
4 174×	`-lowering-.f32`
4 174×	`-lowering-.f64`
2 164×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	256
1	109	228
2	317	208
3	892	204
4	1407	204
5	2150	204
6	4011	204
7	7112	204
0	8123	186

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* x (+ (* (cos y) (/ z x)) 1)) (sin y))
x
(+ (* (cos y) (/ z x)) 1)
(cos y)
y
(/ z x)
z
1
(sin y)
(+ y x)
y
x
(/ 1 (/ 1 z))
1
(/ 1 z)
z
(+ (* (* y y) (* (* y y) (* z (* (* y y) -1/720)))) z)
(* y y)
y
(* (* y y) (* z (* (* y y) -1/720)))
(* z (* (* y y) -1/720))
z
(* (* y y) -1/720)
-1/720
(+ y (+ (* z (/ (+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1) (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2))))) x))
y
(+ (* z (/ (+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1) (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2))))) x)
z
(/ (+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1) (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2))))
(+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1)
(* y (* y y))
(* y y)
(* (* y (* y y)) -1/8)
-1/8
1
(- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2)))
(+ (* (* y y) (* (* y y) 1/4)) 1)
(* (* y y) 1/4)
1/4
(* y (* y -1/2))
(* y -1/2)
-1/2
x

Outputs
(+ (* x (+ (* (cos y) (/ z x)) 1)) (sin y))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
x
(+ (* (cos y) (/ z x)) 1)
(fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
y
(/ z x)
(/.f64 z x)
z
1
#s(literal 1 binary64)
(sin y)
(sin.f64 y)
(+ y x)
(+.f64 x y)
y
x
(/ 1 (/ 1 z))
z
1
#s(literal 1 binary64)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
z
(+ (* (* y y) (* (* y y) (* z (* (* y y) -1/720)))) z)
(fma.f64 (.f64 (.f64 y y) #s(literal -1/720 binary64)) (.f64 y (.f64 z (.f64 y (.f64 y y)))) z)
(* y y)
(*.f64 y y)
y
(* (* y y) (* z (* (* y y) -1/720)))
(.f64 y (.f64 z (.f64 #s(literal -1/720 binary64) (.f64 y (*.f64 y y)))))
(* z (* (* y y) -1/720))
(.f64 y (.f64 z (*.f64 y #s(literal -1/720 binary64))))
z
(* (* y y) -1/720)
(.f64 (.f64 y y) #s(literal -1/720 binary64))
-1/720
#s(literal -1/720 binary64)
(+ y (+ (* z (/ (+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1) (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2))))) x))
(fma.f64 z (/.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (+.f64 x y))
y
(+ (* z (/ (+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1) (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2))))) x)
(fma.f64 z (/.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) x)
z
(/ (+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1) (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2))))
(/.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1)
(fma.f64 (.f64 y y) (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(* y (* y y))
(.f64 y (.f64 y y))
(* y y)
(*.f64 y y)
(* (* y (* y y)) -1/8)
(.f64 (.f64 y (*.f64 y y)) #s(literal -1/8 binary64))
-1/8
#s(literal -1/8 binary64)
1
#s(literal 1 binary64)
(- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2)))
(fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ (* (* y y) (* (* y y) 1/4)) 1)
(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(* (* y y) 1/4)
(.f64 (.f64 y y) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* y (* y -1/2))
(.f64 (.f64 y y) #s(literal -1/2 binary64))
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
x

localize152.0ms (1.4%)

Memory

16.0MiB live, 221.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 y (.f64 y y))
✓	accuracy	95.7%	(fma.f64 z (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))) x)
✓	accuracy	58.0%	(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal -1/720 binary64)))) z)
✓	accuracy	99.9%	(.f64 (.f64 y y) (.f64 z (.f64 (*.f64 y y) #s(literal -1/720 binary64))))
✓	accuracy	99.1%	(.f64 (.f64 y y) #s(literal -1/720 binary64))
✓	accuracy	86.8%	(.f64 z (.f64 (*.f64 y y) #s(literal -1/720 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) z)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64))
✓	accuracy	86.7%	(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))

Samples

106.0ms

256×

valid

Compiler

Compiled 267 to 40 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 20.0ms (31.3% of total)

ival-cos: 16.0ms (25% of total)

ival-add: 10.0ms (15.7% of total)

ival-div: 7.0ms (11% of total)

ival-sin: 5.0ms (7.8% of total)

const: 4.0ms (6.3% of total)

ival-sub: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory

-10.6MiB live, 69.4MiB allocated

Counts

19 → 384

Calls

Call 1

Inputs
#<alt (+ (* x (+ (* (cos y) (/ z x)) 1)) (sin y))>
#<alt (+ (* (cos y) (/ z x)) 1)>
#<alt (cos y)>
#<alt (/ z x)>
#<alt (+ y x)>
#<alt (/ 1 (/ 1 z))>
#<alt (/ 1 z)>
#<alt (+ (* (* y y) (* (* y y) (* z (* (* y y) -1/720)))) z)>
#<alt (* y y)>
#<alt (* (* y y) (* z (* (* y y) -1/720)))>
#<alt (* z (* (* y y) -1/720))>
#<alt (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2)))>
#<alt (+ y (+ (* z (/ (+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1) (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2))))) x))>
#<alt (+ (* z (/ (+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1) (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2))))) x)>
#<alt (/ (+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1) (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2))))>
#<alt (sin y)>
#<alt (* (* y y) -1/720)>
#<alt (* y (* y y))>
#<alt (+ (* (* y y) (* (* y y) 1/4)) 1)>

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

Calls

96 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/ (+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1) (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2))))
1.0ms	z	@	inf	(+ y (+ (* z (/ (+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1) (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2))))) x))
1.0ms	z	@	0	(+ (* (* y y) (* (* y y) (* z (* (* y y) -1/720)))) z)
1.0ms	x	@	0	(+ y (+ (* z (/ (+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1) (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2))))) x))
1.0ms	z	@	0	(+ y (+ (* z (/ (+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1) (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2))))) x))

rewrite602.0ms (5.7%)

Memory

9.2MiB live, 727.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 236×	`-lowering-.f32`
5 236×	`-lowering-.f64`
4 666×	`accelerator-lowering-fma.f32`
4 666×	`accelerator-lowering-fma.f64`
3 802×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	206
1	236	170
2	2121	170
0	8338	152

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 835

Calls

Call 1

Inputs
(+ (* x (+ (* (cos y) (/ z x)) 1)) (sin y))
(+ (* (cos y) (/ z x)) 1)
(cos y)
(/ z x)
(+ y x)
(/ 1 (/ 1 z))
(/ 1 z)
(+ (* (* y y) (* (* y y) (* z (* (* y y) -1/720)))) z)
(* y y)
(* (* y y) (* z (* (* y y) -1/720)))
(* z (* (* y y) -1/720))
(- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2)))
(+ y (+ (* z (/ (+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1) (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2))))) x))
(+ (* z (/ (+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1) (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2))))) x)
(/ (+ (* (* y (* y y)) (* (* y (* y y)) -1/8)) 1) (- (+ (* (* y y) (* (* y y) 1/4)) 1) (* y (* y -1/2))))
(sin y)
(* (* y y) -1/720)
(* y (* y y))
(+ (* (* y y) (* (* y y) 1/4)) 1)

Outputs
(+.f64 (fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) x) (sin.f64 y))
(+.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) x))
(+.f64 (.f64 (cos.f64 y) (.f64 (/.f64 z x) x)) (+.f64 x (sin.f64 y)))
(+.f64 (+.f64 (sin.f64 y) (.f64 (cos.f64 y) (.f64 (/.f64 z x) x))) x)
(-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) (-.f64 x (sin.f64 y)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) (-.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x))) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64)) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x))))
(fma.f64 x (*.f64 (cos.f64 y) (/.f64 z x)) (+.f64 x (sin.f64 y)))
(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))
(fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) (+.f64 x (sin.f64 y)))
(fma.f64 (/.f64 z x) (*.f64 (cos.f64 y) x) (+.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (/.f64 z x)) x (+.f64 x (sin.f64 y)))
(fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) x (sin.f64 y))
(fma.f64 (*.f64 x (cos.f64 y)) (/.f64 z x) (+.f64 x (sin.f64 y)))
(fma.f64 (*.f64 x (/.f64 z x)) (cos.f64 y) (+.f64 x (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x)) (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) (-.f64 x (sin.f64 y))) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64)) (-.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 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x)) (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) (-.f64 x (sin.f64 y))) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x)) (pow.f64 (fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64)) (.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (*.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) (-.f64 x (sin.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x)) (pow.f64 (fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64)) (.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (*.f64 x (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) (-.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64))) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) (-.f64 x (sin.f64 y)))) (.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) (-.f64 x (sin.f64 y))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) (-.f64 x (sin.f64 y))) (fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) (-.f64 x (sin.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x)) (pow.f64 (fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) (-.f64 x (sin.f64 y))))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) x))))
(pow.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x)) (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) (-.f64 x (sin.f64 y))) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) #s(literal -1 binary64))
(.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x)) (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) (-.f64 x (sin.f64 y)))))
(+.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) (/.f64 z x)))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 z x) (/.f64 z x))) (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) (/.f64 z x)))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) (/.f64 z x)))))
(fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64))
(fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)) #s(literal 1 binary64))
(fma.f64 (/.f64 z x) (cos.f64 y) #s(literal 1 binary64))
(fma.f64 (/.f64 z x) (*.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (cos.f64 y) (/.f64 z x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) (/.f64 z x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x)) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) (/.f64 z x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 y) (/.f64 z x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x)) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) (/.f64 z x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 y) (/.f64 z x)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x)) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x)) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) (/.f64 z x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x))) (*.f64 (cos.f64 y) (/.f64 z x)))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x)) #s(literal -1 binary64)) (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x)) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) (/.f64 z x))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x))) (*.f64 (cos.f64 y) (/.f64 z x))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x)))) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) (/.f64 z x))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x))) (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64))) (.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64)) (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 y) (/.f64 z x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x)) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) (/.f64 z x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) (/.f64 z x)))))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x)) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 y) (/.f64 z x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 y) (/.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (/.f64 z x) (/.f64 z x)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) (/.f64 z x))))))
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(cos.f64 y)
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(fma.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
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(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) (.f64 y (.f64 y (*.f64 y y))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (*.f64 y y) #s(literal 1 binary64))
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(fma.f64 (.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) y) (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (.f64 y #s(literal -1/2 binary64))) y #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal 1/4 binary64)))) (fma.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1/64 binary64)) #s(literal 1 binary64)))))
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(.f64 (fma.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal 1/4 binary64))))))
(.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y (*.f64 y y)) #s(literal 1/4 binary64)) #s(literal -1 binary64))))

simplify550.0ms (5.2%)

Memory

0.5MiB live, 672.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 850×	`accelerator-lowering-fma.f32`
10 850×	`accelerator-lowering-fma.f64`
4 062×	`-lowering-.f32`
4 062×	`-lowering-.f64`
3 740×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	3821
1	954	3752
2	2900	3662
0	8243	3313

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* x (+ 1 (/ z x)))
(+ y (* x (+ 1 (/ z x))))
(+ (* x (+ 1 (/ z x))) (* y (+ 1 (* -1/2 (* y z)))))
(+ (* x (+ 1 (/ z x))) (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(+ (sin y) (* x (+ 1 (/ (* z (cos y)) x))))
(+ (sin y) (* x (+ 1 (/ (* z (cos y)) x))))
(+ (sin y) (* x (+ 1 (/ (* z (cos y)) x))))
(+ (sin y) (* x (+ 1 (/ (* z (cos y)) x))))
(+ (sin y) (* x (+ 1 (/ (* z (cos y)) x))))
(+ (sin y) (* x (+ 1 (/ (* z (cos y)) x))))
(+ (sin y) (* x (+ 1 (/ (* z (cos y)) x))))
(+ (sin y) (* x (+ 1 (/ (* z (cos y)) x))))
(+ x (sin y))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(* z (cos y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
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x
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(sin y)
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1
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Outputs
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x)
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(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x))
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(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x))
(* x (+ 1 (/ z x)))
(fma.f64 x (/.f64 z x) x)
(+ y (* x (+ 1 (/ z x))))
(+.f64 y (fma.f64 x (/.f64 z x) x))
(+ (* x (+ 1 (/ z x))) (* y (+ 1 (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (/.f64 z x) x))
(+ (* x (+ 1 (/ z x))) (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 x (/.f64 z x) x))
(+ (sin y) (* x (+ 1 (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))
(+ (sin y) (* x (+ 1 (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))
(+ (sin y) (* x (+ 1 (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))
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(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))
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(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+ x (+ (sin y) (* z (cos y))))
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(* (pow y 2) (- (+ (* -1 (/ (+ (* -2 z) (* 2 z)) (pow y 4))) (+ (* -1/2 z) (/ x (pow y 2)))) (* -1 (/ z (pow y 2)))))
(.f64 (.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 (/.f64 (+.f64 z x) y) y)))
(* (pow y 2) (- (+ (* -1/2 z) (+ (* 2 (/ (+ (* -2 z) (* 2 z)) (pow y 6))) (/ x (pow y 2)))) (+ (* -2 (/ z (pow y 4))) (+ (* -1 (/ z (pow y 2))) (* 2 (/ z (pow y 4)))))))
(.f64 (.f64 y y) (-.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 (/.f64 (+.f64 z x) y) y)) (.f64 (/.f64 z (.f64 (.f64 y y) (.f64 y y))) #s(literal 0 binary64))))
(/ (* z (+ 1 (* -1/8 (pow y 6)))) (- (+ 1 (* 1/4 (pow y 4))) (* -1/2 (pow y 2))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 #s(literal -1/8 binary64) z) z) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ x (/ (* z (+ 1 (* -1/8 (pow y 6)))) (- (+ 1 (* 1/4 (pow y 4))) (* -1/2 (pow y 2)))))
(fma.f64 z (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(+ x (/ (* z (+ 1 (* -1/8 (pow y 6)))) (- (+ 1 (* 1/4 (pow y 4))) (* -1/2 (pow y 2)))))
(fma.f64 z (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
(+ x (/ (* z (+ 1 (* -1/8 (pow y 6)))) (- (+ 1 (* 1/4 (pow y 4))) (* -1/2 (pow y 2)))))
(fma.f64 z (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)
x
(* x (+ 1 (/ (* z (+ 1 (* -1/8 (pow y 6)))) (* x (- (+ 1 (* 1/4 (pow y 4))) (* -1/2 (pow y 2)))))))
(fma.f64 z (/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) x) (fma.f64 x (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) x)) x)
(* x (+ 1 (/ (* z (+ 1 (* -1/8 (pow y 6)))) (* x (- (+ 1 (* 1/4 (pow y 4))) (* -1/2 (pow y 2)))))))
(fma.f64 z (/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) x) (fma.f64 x (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) x)) x)
(* x (+ 1 (/ (* z (+ 1 (* -1/8 (pow y 6)))) (* x (- (+ 1 (* 1/4 (pow y 4))) (* -1/2 (pow y 2)))))))
(fma.f64 z (/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) x) (fma.f64 x (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) x)) x)
x
(* -1 (* x (- (* -1 (/ (* z (+ 1 (* -1/8 (pow y 6)))) (* x (- (+ 1 (* 1/4 (pow y 4))) (* -1/2 (pow y 2)))))) 1)))
(fma.f64 z (/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) x) (fma.f64 x (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) x)) x)
(* -1 (* x (- (* -1 (/ (* z (+ 1 (* -1/8 (pow y 6)))) (* x (- (+ 1 (* 1/4 (pow y 4))) (* -1/2 (pow y 2)))))) 1)))
(fma.f64 z (/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) x) (fma.f64 x (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) x)) x)
(* -1 (* x (- (* -1 (/ (* z (+ 1 (* -1/8 (pow y 6)))) (* x (- (+ 1 (* 1/4 (pow y 4))) (* -1/2 (pow y 2)))))) 1)))
(fma.f64 z (/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) x) (fma.f64 x (.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(* -1/2 (pow y 2))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(* -1/2 (pow y 2))
(.f64 #s(literal -1/2 binary64) (.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (.f64 y y) (.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (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)
(sin.f64 y)
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(* -1/720 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/720 binary64))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
(pow y 3)
(.f64 y (.f64 y y))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (pow y 4)))
(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/4 (pow y 4)))
(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/4 (pow y 4)))
(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(* 1/4 (pow y 4))
(.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/4 binary64))))
(* (pow y 4) (+ 1/4 (/ 1 (pow y 4))))
(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(* (pow y 4) (+ 1/4 (/ 1 (pow y 4))))
(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(* (pow y 4) (+ 1/4 (/ 1 (pow y 4))))
(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(* 1/4 (pow y 4))
(.f64 y (.f64 y (.f64 (.f64 y y) #s(literal 1/4 binary64))))
(* (pow y 4) (+ 1/4 (/ 1 (pow y 4))))
(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(* (pow y 4) (+ 1/4 (/ 1 (pow y 4))))
(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(* (pow y 4) (+ 1/4 (/ 1 (pow y 4))))
(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64))

eval341.0ms (3.2%)

Memory: 28.7MiB live, 422.8MiB allocated
Compiler: Compiled 61 050 to 3 369 computations (94.5% saved)

prune171.0ms (1.6%)

Memory

-19.6MiB live, 490.4MiB allocated

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	1 340	7	1 347
Fresh	3	19	22
Picked	2	3	5
Done	0	4	4
Total	1 345	33	1 378

Accuracy

100.0%

Counts

1 378 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.3%	(fma.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y (.f64 y (*.f64 y y))) #s(literal 1 binary64)))) z (+.f64 x y))
	86.7%	(fma.f64 (/.f64 z x) (*.f64 (cos.f64 y) x) (+.f64 x (sin.f64 y)))
	26.5%	(fma.f64 (.f64 (.f64 z y) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64))) y z)
	26.0%	(fma.f64 (.f64 z (.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
	26.4%	(fma.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y) z)
	25.7%	(fma.f64 (.f64 y y) (fma.f64 z (/.f64 (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64))) (.f64 z #s(literal -1/2 binary64))) z)
✓	26.2%	(fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal -1/720 binary64)))) z)
	85.6%	(fma.f64 (cos.f64 y) z x)
	86.7%	(fma.f64 x (fma.f64 (*.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (sin.f64 y))
	64.2%	(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) y)
	50.8%	(fma.f64 x (fma.f64 z (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 y x)) x)
	21.5%	(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
	42.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
	43.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
	67.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 z y))))
✓	43.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
✓	27.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
	63.4%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
	58.3%	(+.f64 (sin.f64 y) x)
	56.8%	(+.f64 z (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x))
	69.0%	(+.f64 z x)
	67.2%	(+.f64 y (+.f64 z x))
✓	42.8%	(+.f64 y x)
	48.0%	(.f64 (-.f64 (fma.f64 y (fma.f64 y (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) (.f64 (/.f64 y x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 z x)) (neg.f64 x))
	58.7%	(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 y x)) (neg.f64 x))
	29.9%	(.f64 (neg.f64 (/.f64 (.f64 z (cos.f64 y)) x)) (neg.f64 x))
	3.1%	(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
✓	43.0%	(*.f64 z (cos.f64 y))
	3.1%	(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
	42.7%	(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
✓	27.0%	z
	9.6%	y
✓	44.0%	x

Compiler

Compiled 1 299 to 481 computations (63% saved)

regimes75.0ms (0.7%)

Memory

4.9MiB live, 131.9MiB allocated

Counts

57 → 1

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y) z)
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(+.f64 y (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) y (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
(+.f64 z (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x))
(fma.f64 (.f64 z (.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 z y))))
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 y x)) (neg.f64 x))
(fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal -1/720 binary64)))) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 z y) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64))) y z)
(fma.f64 (.f64 y y) (fma.f64 z (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 x (fma.f64 z (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 y x)) x)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(fma.f64 (.f64 y y) (fma.f64 z (/.f64 (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64))) (.f64 z #s(literal -1/2 binary64))) z)
(.f64 (-.f64 (fma.f64 y (fma.f64 y (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) (.f64 (/.f64 y x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 z x)) (neg.f64 x))
(fma.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y (.f64 y (*.f64 y y))) #s(literal 1 binary64)))) z (+.f64 x y))
(+.f64 y (fma.f64 z (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))) x))
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 (cos.f64 y) z x)
(+.f64 x (*.f64 z (cos.f64 y)))
(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) y)
(.f64 (neg.f64 (/.f64 (.f64 z (cos.f64 y)) x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(+.f64 (+.f64 x (sin.f64 y)) (fma.f64 (.f64 y (.f64 y z)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))
(fma.f64 (/.f64 z x) (*.f64 (cos.f64 y) x) (+.f64 x (sin.f64 y)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (neg.f64 x))
(fma.f64 x (fma.f64 (*.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))))
(*.f64 (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) #s(literal -1/2 binary64))
(.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 (.f64 (cos.f64 y) z) (sin.f64 y)) (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))))) (/.f64 x (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))))))
(.f64 (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) (/.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) 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 (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(.f64 (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) (.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))))

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

Calls

4 calls:

21.0ms	y
18.0ms	x
18.0ms	z
16.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes61.0ms (0.6%)

Memory

-4.3MiB live, 111.7MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y) z)
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(+.f64 y (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) y (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
(+.f64 z (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x))
(fma.f64 (.f64 z (.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 z y))))
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 y x)) (neg.f64 x))
(fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal -1/720 binary64)))) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 z y) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64))) y z)
(fma.f64 (.f64 y y) (fma.f64 z (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 x (fma.f64 z (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 y x)) x)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(fma.f64 (.f64 y y) (fma.f64 z (/.f64 (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64))) (.f64 z #s(literal -1/2 binary64))) z)
(.f64 (-.f64 (fma.f64 y (fma.f64 y (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) (.f64 (/.f64 y x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 z x)) (neg.f64 x))
(fma.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y (.f64 y (*.f64 y y))) #s(literal 1 binary64)))) z (+.f64 x y))
(+.f64 y (fma.f64 z (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))) x))
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(fma.f64 (cos.f64 y) z x)
(+.f64 x (*.f64 z (cos.f64 y)))
(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) y)
(.f64 (neg.f64 (/.f64 (.f64 z (cos.f64 y)) x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(+.f64 (+.f64 x (sin.f64 y)) (fma.f64 (.f64 y (.f64 y z)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z))

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

Calls

4 calls:

19.0ms	x
15.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
14.0ms	y
11.0ms	z

Results

Accuracy	Segments	Branch
85.6%	1	`x`
92.4%	3	`y`
98.0%	3	`z`
96.9%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes44.0ms (0.4%)

Memory

20.5MiB live, 97.1MiB allocated

Counts

34 → 5

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y) z)
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(+.f64 y (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) y (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
(+.f64 z (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x))
(fma.f64 (.f64 z (.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 z y))))
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 y x)) (neg.f64 x))
(fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal -1/720 binary64)))) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 z y) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64))) y z)
(fma.f64 (.f64 y y) (fma.f64 z (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 x (fma.f64 z (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 y x)) x)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(fma.f64 (.f64 y y) (fma.f64 z (/.f64 (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64))) (.f64 z #s(literal -1/2 binary64))) z)
(.f64 (-.f64 (fma.f64 y (fma.f64 y (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) (.f64 (/.f64 y x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 z x)) (neg.f64 x))
(fma.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y (.f64 y (*.f64 y y))) #s(literal 1 binary64)))) z (+.f64 x y))
(+.f64 y (fma.f64 z (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))) x))
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))

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

Calls

4 calls:

12.0ms	x
11.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
9.0ms	y
9.0ms	z

Results

Accuracy	Segments	Branch
78.9%	5	`x`
85.9%	4	`y`
80.4%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
89.6%	5	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes26.0ms (0.2%)

Memory

-18.1MiB live, 65.3MiB allocated

Counts

33 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y) z)
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(+.f64 y (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) y (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
(+.f64 z (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x))
(fma.f64 (.f64 z (.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 z y))))
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 y x)) (neg.f64 x))
(fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal -1/720 binary64)))) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 z y) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64))) y z)
(fma.f64 (.f64 y y) (fma.f64 z (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 x (fma.f64 z (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 y x)) x)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(fma.f64 (.f64 y y) (fma.f64 z (/.f64 (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64))) (.f64 z #s(literal -1/2 binary64))) z)
(.f64 (-.f64 (fma.f64 y (fma.f64 y (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) (.f64 (/.f64 y x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 z x)) (neg.f64 x))
(fma.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y (.f64 y (*.f64 y y))) #s(literal 1 binary64)))) z (+.f64 x y))
(+.f64 y (fma.f64 z (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))) x))
(+.f64 (sin.f64 y) x)

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

Calls

2 calls:

13.0ms	y
11.0ms	z

Results

Accuracy	Segments	Branch
82.4%	3	`y`
81.5%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes42.0ms (0.4%)

Memory

20.5MiB live, 97.9MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 z (.f64 y (.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y y) z)
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(+.f64 y (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) y (+.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
(+.f64 z (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x))
(fma.f64 (.f64 z (.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 z y))))
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 y x)) (neg.f64 x))
(fma.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 z (.f64 (.f64 y y) #s(literal -1/720 binary64)))) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 z y) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64))) y z)
(fma.f64 (.f64 y y) (fma.f64 z (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 x (fma.f64 z (/.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 y x)) x)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (/.f64 y (*.f64 (+.f64 x z) (+.f64 x z)))))
(fma.f64 (.f64 y y) (fma.f64 z (/.f64 (.f64 (.f64 y y) (fma.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal -1/24 binary64))) (.f64 z #s(literal -1/2 binary64))) z)
(.f64 (-.f64 (fma.f64 y (fma.f64 y (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) (.f64 (/.f64 y x) #s(literal 1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 z x)) (neg.f64 x))
(fma.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 y (.f64 y (*.f64 y y))) #s(literal 1 binary64)))) z (+.f64 x y))
(+.f64 y (fma.f64 z (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 y (.f64 y #s(literal -1/2 binary64))))) x))

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

Calls

4 calls:

11.0ms	z
9.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
9.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
75.3%	3	`x`
75.6%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
69.0%	1	`z`
75.7%	3	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory

-20.7MiB live, 18.3MiB allocated

Counts

17 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
75.7%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 z x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
75.6%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 z x)

Outputs
(+.f64 z x)
(+.f64 y x)
(+.f64 z x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
69.0%	1	`x`
73.6%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
69.0%	1	`y`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes40.0ms (0.4%)

Memory

-24.6MiB live, 18.0MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)

Outputs
x
z
x

Calls

4 calls:

33.0ms	z
2.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
56.7%	5	`y`
58.9%	3	`x`
55.6%	3	`z`
53.7%	4	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
x
y

Outputs
x
y
x

Calls

4 calls:

2.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
2.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
44.0%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
44.0%	1	`y`
44.0%	1	`z`
49.6%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
44.0%	1	`y`
44.0%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch55.0ms (0.5%)

Memory

5.4MiB live, 82.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	6.1308410968243574e-33	2.59592110673989e-19
32.0ms	-3.3899739272513174e-20	-1.1178262071787068e-37

Samples

41.0ms

320×

valid

Compiler

Compiled 355 to 254 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 15.0ms (47.6% of total)

ival-sin: 8.0ms (25.4% of total)

ival-cos: 6.0ms (19% of total)

ival-mult: 2.0ms (6.3% of total)

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

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

bsearch85.0ms (0.8%)

Memory

-28.3MiB live, 144.8MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	2.542498900577365e+122	7.137202505538538e+123
21.0ms	6.1308410968243574e-33	2.59592110673989e-19
26.0ms	-3.3899739272513174e-20	-1.1178262071787068e-37
19.0ms	-2.7893839856960023e+205	-2.8270795633999527e+200

Samples

57.0ms

576×

valid

Compiler

Compiled 555 to 410 computations (26.1% saved)

Precisions

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

ival-sin: 15.0ms (43.6% of total)

ival-cos: 10.0ms (29.1% of total)

ival-add: 5.0ms (14.5% of total)

ival-mult: 4.0ms (11.6% of total)

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

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

bsearch32.0ms (0.3%)

Memory

-13.6MiB live, 68.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.022491209448867698	0.18919137202866715
19.0ms	-75585.80463486037	-2.2017660988087398e-10

Samples

19.0ms

256×

valid

Compiler

Compiled 399 to 270 computations (32.3% saved)

Precisions

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

ival-cos: 5.0ms (39.5% of total)

ival-sin: 3.0ms (23.7% of total)

ival-add: 2.0ms (15.8% of total)

ival-mult: 2.0ms (15.8% of total)

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

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

bsearch44.0ms (0.4%)

Memory

18.3MiB live, 96.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	800.0059582232158	641663.7075578367
23.0ms	-75585.80463486037	-2.2017660988087398e-10

Samples

32.0ms

288×

valid

Compiler

Compiled 465 to 320 computations (31.2% saved)

Precisions

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

ival-sin: 11.0ms (47.3% of total)

ival-cos: 7.0ms (30.1% of total)

ival-add: 3.0ms (12.9% of total)

ival-mult: 2.0ms (8.6% of total)

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

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

bsearch44.0ms (0.4%)

Memory

-11.9MiB live, 109.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	800.0059582232158	641663.7075578367
21.0ms	-75585.80463486037	-2.2017660988087398e-10

Samples

30.0ms

288×

valid

Compiler

Compiled 411 to 284 computations (30.9% saved)

Precisions

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

ival-sin: 10.0ms (44% of total)

ival-cos: 8.0ms (35.2% of total)

ival-add: 3.0ms (13.2% of total)

ival-mult: 2.0ms (8.8% of total)

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

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

bsearch42.0ms (0.4%)

Memory

18.1MiB live, 96.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	9.124570824393163e+57	4.495816484516652e+64
19.0ms	-8.945650469171345e+143	-1.641003209532304e+141

Samples

31.0ms

272×

valid

Compiler

Compiled 287 to 201 computations (30% saved)

Precisions

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

ival-sin: 10.0ms (43.6% of total)

ival-cos: 8.0ms (34.9% of total)

ival-add: 2.0ms (8.7% of total)

ival-mult: 2.0ms (8.7% of total)

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

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

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.2952663495319707e-21	7.503026340085713e-7
0.0ms	-3.3899739272513174e-20	-6.029742811740345e-24

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch33.0ms (0.3%)

Memory

5.4MiB live, 85.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0005246497673888051	35767209.736961
12.0ms	-3530.27680915632	-759.5695134698361

Samples

22.0ms

256×

valid

Compiler

Compiled 175 to 142 computations (18.9% saved)

Precisions

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

ival-sin: 6.0ms (38.1% of total)

ival-cos: 4.0ms (25.4% of total)

ival-add: 3.0ms (19% of total)

ival-mult: 2.0ms (12.7% of total)

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

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

bsearch34.0ms (0.3%)

Memory

-18.7MiB live, 58.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	6.781264338601567e-156	1.4164744935331467e-143
12.0ms	-3.005773707217008e-47	-4.13887905876837e-48

Samples

24.0ms

256×

valid

Compiler

Compiled 175 to 142 computations (18.9% saved)

Precisions

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

ival-sin: 8.0ms (49.6% of total)

ival-cos: 4.0ms (24.8% of total)

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

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

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

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

simplify11.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
16×	`if-if-or-not_binary32`
8×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	205
1	124	205

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -6430607204255973/2923003274661805836407369665432566039311865085952 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 z #s(literal 5463682573640003/11150372599265311570767859136324180752990208 binary64)) (+.f64 (sin.f64 y) x) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 z #s(literal -16499999999999999466603684966147873065195658825649897687865929372277186907101997618316568005681988022918139403661016314541135309050989884983317454163021316526509613884958756474439797862052410243025993728 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -5172291977198265/1361129467683753853853498429727072845824 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 8920298079412249/1393796574908163946345982392040522594123776 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 315000000000000005455272936378289869231130724185753254811819787714134069762782850379388411956432259881599548371433410265088 binary64)) (+.f64 z x) (.f64 z (cos.f64 y))))))
(if (<=.f64 y #s(literal -3242591731706757/9007199254740992 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 7782220156096217/72057594037927936 binary64)) (+.f64 y (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) y (+.f64 z x))) (+.f64 (sin.f64 y) x)))
(if (<=.f64 y #s(literal -5404319552844595/1125899906842624 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 13000 binary64)) (+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) (+.f64 z x)))
(if (<=.f64 y #s(literal -5404319552844595/1125899906842624 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 13000 binary64)) (+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 z x)))
(if (<=.f64 y #s(literal -1649999999999999833395884531245095980388857851547831994908153043257005320310302570996067897857760725315320396029226879609305193188647287914496 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 64999999999999999832268122104098466167637483886642265587712 binary64)) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -6646139978924579/332306998946228968225951765070086144 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (+.f64 y x) (+.f64 z x)))
(if (<=.f64 x #s(literal -2550 binary64)) x (if (<=.f64 x #s(literal 7839866231326559/1152921504606846976 binary64)) z x))
(if (<=.f64 x #s(literal -8556623698070271/1645504557321206042154969182557350504982735865633579863348609024 binary64)) x (if (<=.f64 x #s(literal 5623642243178995/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912 binary64)) y x))
x

Outputs
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -6430607204255973/2923003274661805836407369665432566039311865085952 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 z #s(literal 5463682573640003/11150372599265311570767859136324180752990208 binary64)) (+.f64 (sin.f64 y) x) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 z #s(literal -6430607204255973/2923003274661805836407369665432566039311865085952 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 z #s(literal 5463682573640003/11150372599265311570767859136324180752990208 binary64)) (+.f64 x (sin.f64 y)) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 z #s(literal -16499999999999999466603684966147873065195658825649897687865929372277186907101997618316568005681988022918139403661016314541135309050989884983317454163021316526509613884958756474439797862052410243025993728 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -5172291977198265/1361129467683753853853498429727072845824 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 8920298079412249/1393796574908163946345982392040522594123776 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 315000000000000005455272936378289869231130724185753254811819787714134069762782850379388411956432259881599548371433410265088 binary64)) (+.f64 z x) (.f64 z (cos.f64 y))))))
(if (<=.f64 z #s(literal -16499999999999999466603684966147873065195658825649897687865929372277186907101997618316568005681988022918139403661016314541135309050989884983317454163021316526509613884958756474439797862052410243025993728 binary64)) (.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal -5172291977198265/1361129467683753853853498429727072845824 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 8920298079412249/1393796574908163946345982392040522594123776 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 z #s(literal 315000000000000005455272936378289869231130724185753254811819787714134069762782850379388411956432259881599548371433410265088 binary64)) (+.f64 z x) (.f64 (cos.f64 y) z)))))
(if (<=.f64 y #s(literal -3242591731706757/9007199254740992 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 7782220156096217/72057594037927936 binary64)) (+.f64 y (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) y (+.f64 z x))) (+.f64 (sin.f64 y) x)))
(if (<=.f64 y #s(literal -3242591731706757/9007199254740992 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 7782220156096217/72057594037927936 binary64)) (+.f64 y (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) y (+.f64 z x))) (+.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -5404319552844595/1125899906842624 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 13000 binary64)) (+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) (+.f64 z x)))
(if (<=.f64 y #s(literal -5404319552844595/1125899906842624 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 13000 binary64)) (+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 z x)))
(if (<=.f64 y #s(literal -1649999999999999833395884531245095980388857851547831994908153043257005320310302570996067897857760725315320396029226879609305193188647287914496 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 64999999999999999832268122104098466167637483886642265587712 binary64)) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -6646139978924579/332306998946228968225951765070086144 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (+.f64 y x) (+.f64 z x)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) #s(literal -6646139978924579/332306998946228968225951765070086144 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) (+.f64 y x) (+.f64 z x)))
(if (<=.f64 x #s(literal -2550 binary64)) x (if (<=.f64 x #s(literal 7839866231326559/1152921504606846976 binary64)) z x))
(if (<=.f64 x #s(literal -8556623698070271/1645504557321206042154969182557350504982735865633579863348609024 binary64)) x (if (<=.f64 x #s(literal 5623642243178995/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912 binary64)) y x))
x

soundness1.2s (11.7%)

Memory

3.1MiB live, 956.9MiB allocated

Rules

15 660×	`accelerator-lowering-fma.f32`
15 660×	`accelerator-lowering-fma.f64`
11 212×	`accelerator-lowering-fma.f32`
11 212×	`accelerator-lowering-fma.f64`
10 850×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	90
1	148	90
2	1297	90
0	8161	80
0	316	3821
1	954	3752
2	2900	3662
0	8243	3313
0	96	591
1	282	587
2	797	577
3	2037	575
4	3964	575
5	7253	575
0	8423	528
0	349	3698
1	1065	3659
2	3337	3507
0	8214	3216
0	8	19
1	38	19
2	357	19
3	5535	19
0	8305	18

Stop Event

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

Compiler

Compiled 402 to 208 computations (48.3% saved)

preprocess82.0ms (0.8%)

Memory: -12.5MiB live, 183.4MiB allocated
Compiler: Compiled 470 to 184 computations (60.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.6s (15.5%)

preprocess73.0ms (0.7%)

explain115.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize36.0ms (0.3%)

series6.0ms (0.1%)

rewrite351.0ms (3.3%)

simplify294.0ms (2.8%)

eval42.0ms (0.4%)

prune38.0ms (0.4%)

simplify24.0ms (0.2%)

localize71.0ms (0.7%)

series21.0ms (0.2%)

rewrite590.0ms (5.6%)

simplify460.0ms (4.4%)

eval170.0ms (1.6%)

prune160.0ms (1.5%)

simplify330.0ms (3.1%)

localize206.0ms (2%)

series62.0ms (0.6%)

rewrite872.0ms (8.3%)

simplify500.0ms (4.8%)

eval155.0ms (1.5%)

prune124.0ms (1.2%)

simplify315.0ms (3%)

localize152.0ms (1.4%)

series32.0ms (0.3%)

rewrite602.0ms (5.7%)

simplify550.0ms (5.2%)

eval341.0ms (3.2%)

prune171.0ms (1.6%)

regimes75.0ms (0.7%)

regimes61.0ms (0.6%)

regimes44.0ms (0.4%)

regimes26.0ms (0.2%)

regimes42.0ms (0.4%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes40.0ms (0.4%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

bsearch55.0ms (0.5%)

bsearch85.0ms (0.8%)

bsearch32.0ms (0.3%)

bsearch44.0ms (0.4%)

bsearch44.0ms (0.4%)

bsearch42.0ms (0.4%)

bsearch0.0ms (0%)

bsearch33.0ms (0.3%)

bsearch34.0ms (0.3%)

simplify11.0ms (0.1%)

soundness1.2s (11.7%)

preprocess82.0ms (0.8%)

end0.0ms (0%)

Profiling