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

analyze0.0ms (0%)

Memory

0.8MiB 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 (18.1%)

Memory

13.7MiB live, 1 681.4MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 870.0ms

ival-cos: 405.0ms (46.5% of total)

ival-sin: 318.0ms (36.5% of total)

ival-add: 84.0ms (9.6% of total)

ival-mult: 54.0ms (6.2% of total)

ival-true: 7.0ms (0.8% of total)

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

Bogosity

preprocess67.0ms (0.7%)

Memory

-14.5MiB live, 21.6MiB allocated

Algorithm

1×	egg-herbie

Rules

334×	`sub-neg`
294×	`cancel-sign-sub-inv`
286×	`associate-+l-`
272×	`distribute-rgt-in`
236×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	92	82
2	234	81
3	588	81
4	1029	81
5	1414	81
6	1696	81
7	1888	81
8	1995	81
9	2055	81
10	2069	81
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))

explain131.0ms (1.5%)

Memory

-27.4MiB live, 270.4MiB 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

49.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-sin: 12.0ms (38.7% of total)

ival-cos: 11.0ms (35.5% of total)

ival-add: 5.0ms (16.1% of total)

ival-mult: 3.0ms (9.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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)

simplify4.0ms (0%)

Memory

11.2MiB live, 11.2MiB 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)

localize33.0ms (0.4%)

Memory

3.7MiB live, 81.0MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

25.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-sin: 7.0ms (41.6% of total)

ival-cos: 5.0ms (29.7% of total)

ival-add: 3.0ms (17.8% of total)

ival-mult: 2.0ms (11.9% of total)

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

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

series8.0ms (0.1%)

Memory

-9.6MiB live, 29.3MiB allocated

Counts

5 → 108

Calls

Call 1

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

Calls

27 calls:

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

rewrite305.0ms (3.4%)

Memory

32.8MiB live, 619.8MiB 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	21
1	38	21
2	357	21
3	5535	21
0	8305	20

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 172

Calls

Call 1

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

simplify300.0ms (3.3%)

Memory

4.8MiB live, 492.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 712×	`accelerator-lowering-fma.f32`
11 712×	`accelerator-lowering-fma.f64`
3 160×	`-lowering-.f32`
3 160×	`-lowering-.f64`
2 322×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	647
1	310	643
2	852	633
3	2193	631
4	4247	631
5	7326	631
0	8046	578

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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))
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)

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

eval32.0ms (0.4%)

Memory: -10.1MiB live, 70.4MiB allocated
Compiler: Compiled 6 642 to 596 computations (91% saved)

prune35.0ms (0.4%)

Memory

5.3MiB live, 82.6MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	267	13	280
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	268	13	281

Accuracy

100.0%

Counts

281 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.6%	(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)
▶	61.4%	(fma.f64 z (cos.f64 y) (sin.f64 y))
	55.0%	(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)) (+.f64 z x))
	44.7%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))) (fma.f64 x (.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64)))))
▶	99.8%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y)))
	84.8%	(+.f64 (+.f64 x (sin.f64 y)) z)
	62.0%	(+.f64 (sin.f64 y) x)
▶	59.4%	(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
	63.2%	(+.f64 z x)
	65.5%	(+.f64 y (+.f64 z x))
	77.5%	(+.f64 x (*.f64 z (cos.f64 y)))
▶	39.6%	(*.f64 z (cos.f64 y))
▶	40.7%	x

Compiler

Compiled 354 to 212 computations (40.1% saved)

simplify18.0ms (0.2%)

Memory

-14.7MiB live, 24.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 z (cos.f64 y) (sin.f64 y))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	0	(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
✓	cost-diff	0	(+.f64 x (sin.f64 y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.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	19	96
1	45	96
2	97	96
3	182	96
4	213	96
5	238	96
6	268	96
7	275	96
0	275	89

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize69.0ms (0.8%)

Memory

22.4MiB live, 103.8MiB allocated

Localize:

Found 13 expressions of interest:

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

Samples

43.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 100 to 21 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sin: 8.0ms (27% of total)

ival-add: 7.0ms (23.7% of total)

ival-mult: 6.0ms (20.3% of total)

ival-cos: 5.0ms (16.9% of total)

ival-div: 3.0ms (10.1% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-19.1MiB live, 19.4MiB allocated

Counts

12 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/ 1 (+ x (sin y)))
1.0ms	z	@	-inf	(+ z (+ (* y (+ (* y (* z -1/2)) 1)) x))
1.0ms	z	@	inf	(+ z (+ (* y (+ (* y (* z -1/2)) 1)) x))
0.0ms	z	@	0	(+ z (+ (* y (+ (* y (* z -1/2)) 1)) x))
0.0ms	x	@	0	(+ z (+ (* y (+ (* y (* z -1/2)) 1)) x))

rewrite363.0ms (4%)

Memory

9.2MiB live, 538.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 746×	`accelerator-lowering-fma.f32`
9 746×	`accelerator-lowering-fma.f64`
4 276×	`-lowering-.f32`
4 276×	`-lowering-.f64`
3 906×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	72
1	128	72
2	1155	72
0	8239	65

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 443

Calls

Call 1

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

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

simplify377.0ms (4.2%)

Memory

-5.3MiB live, 358.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 414×	`accelerator-lowering-fma.f32`
10 414×	`accelerator-lowering-fma.f64`
4 240×	`-lowering-.f32`
4 240×	`-lowering-.f64`
2 320×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	272	2321
1	794	2286
2	2254	2228
3	6216	2168
0	8460	1973

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval155.0ms (1.7%)

Memory: -2.3MiB live, 150.6MiB allocated
Compiler: Compiled 17 341 to 1 535 computations (91.1% saved)

prune175.0ms (1.9%)

Memory

-24.4MiB live, 138.2MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	785	14	799
Fresh	4	4	8
Picked	2	3	5
Done	0	0	0
Total	791	21	812

Accuracy

100.0%

Counts

812 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.6%	(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)
▶	24.1%	(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
✓	61.4%	(fma.f64 z (cos.f64 y) (sin.f64 y))
▶	46.5%	(fma.f64 z #s(literal 1 binary64) (sin.f64 y))
	30.5%	(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)
▶	90.4%	(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))
	36.7%	(/.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 (sin.f64 y) (*.f64 z (cos.f64 y))))
	61.3%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	62.0%	(+.f64 (sin.f64 y) x)
	41.4%	(+.f64 z (/.f64 (.f64 (fma.f64 y (fma.f64 y (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) (fma.f64 y (.f64 z (.f64 #s(literal -1/2 binary64) y)) (-.f64 y x))) (fma.f64 y (.f64 z (.f64 #s(literal -1/2 binary64) y)) (-.f64 y x))))
▶	65.5%	(+.f64 z (+.f64 y x))
	63.2%	(+.f64 z x)
	31.6%	(+.f64 y z)
	43.2%	(+.f64 y x)
	77.5%	(+.f64 x (*.f64 z (cos.f64 y)))
	24.0%	(.f64 z (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓	39.6%	(*.f64 z (cos.f64 y))
	2.9%	(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
	23.7%	(sin.f64 y)
▶	25.5%	z
✓	40.7%	x

Compiler

Compiled 502 to 308 computations (38.6% saved)

simplify294.0ms (3.2%)

Memory

41.8MiB live, 157.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	192	(fma.f64 z #s(literal 1 binary64) (sin.f64 y))
✓	cost-diff	0	(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(+.f64 z (+.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

5 146×	`/-lowering-/.f32`
5 146×	`/-lowering-/.f64`
4 680×	`-lowering-.f32`
4 680×	`-lowering-.f64`
4 348×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	91
1	61	91
2	190	91
3	534	87
4	843	87
5	1049	87
6	2158	87
7	3000	87
8	3386	87
9	3413	87
10	3518	87
11	4081	87
12	4475	87
13	4612	87
14	5026	87
15	5461	87
16	5818	87
17	6158	87
18	6531	87
19	6739	87
20	6830	87
21	7027	87
0	9804	81

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)
z
(+ z (+ y x))
z
(+ y x)
y
x
(+ (* (* y y) (* z (+ (* (* y y) 1/24) -1/2))) z)
(* y y)
y
(* z (+ (* (* y y) 1/24) -1/2))
z
(+ (* (* y y) 1/24) -1/2)
1/24
-1/2
(+ (* z 1) (sin y))
z
1
(sin y)
y

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

localize110.0ms (1.2%)

Memory

-33.7MiB live, 48.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(fma.f64 z #s(literal 1 binary64) (sin.f64 y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.9%	(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
✓	accuracy	99.5%	(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
✓	accuracy	95.1%	(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(+.f64 z (+.f64 y x))
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64))
✓	accuracy	90.4%	(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))

Samples

87.0ms

256×

valid

Compiler

Compiled 87 to 25 computations (71.3% saved)

Precisions

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

ival-add: 34.0ms (50.4% of total)

ival-cos: 12.0ms (17.8% of total)

ival-mult: 10.0ms (14.8% of total)

ival-sin: 6.0ms (8.9% of total)

const: 3.0ms (4.4% of total)

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

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

12 → 276

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

Calls

69 calls:

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

rewrite542.0ms (6%)

Memory

-4.8MiB live, 351.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 314×	`accelerator-lowering-fma.f32`
7 314×	`accelerator-lowering-fma.f64`
4 296×	`-lowering-.f32`
4 296×	`-lowering-.f64`
3 658×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	74
1	155	74
2	1315	74
0	8201	67

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 415

Calls

Call 1

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

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 (.f64 x (.f64 (cos.f64 y) z)) x) (+.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 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) (sin.f64 y))) (neg.f64 (/.f64 (+.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) x) (sin.f64 y)))))
(+.f64 (+.f64 (sin.f64 y) (/.f64 (.f64 x (.f64 (cos.f64 y) z)) x)) x)
(-.f64 (/.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 (/.f64 z x) x) 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) (.f64 (/.f64 z x) x) 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 (*.f64 (cos.f64 y) 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 (*.f64 (cos.f64 y) z) x) x (+.f64 x (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) x))
(fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) x (sin.f64 y))
(fma.f64 (pow.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x) (sin.f64 y))) (neg.f64 (/.f64 (+.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) x) (sin.f64 y)))))
(fma.f64 (+.f64 (pow.f64 (/.f64 (.f64 x (.f64 (cos.f64 y) z)) x) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 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 x x)) (.f64 x x) (-.f64 (.f64 x x) (.f64 (/.f64 (.f64 x (*.f64 (cos.f64 y) z)) x) x)))) (sin.f64 y))
(fma.f64 (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 x x)) (.f64 x x) (.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (*.f64 (cos.f64 y) z) x) (neg.f64 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)))
(fma.f64 (.f64 x (.f64 (cos.f64 y) z)) (/.f64 #s(literal 1 binary64) x) (+.f64 x (sin.f64 y)))
(fma.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 y) z) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 z z) (+.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 (*.f64 (cos.f64 y) z) x)))) (sin.f64 y))
(fma.f64 (.f64 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 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64))) (sin.f64 y))
(fma.f64 (.f64 (.f64 (cos.f64 y) z) x) (/.f64 #s(literal 1 binary64) x) (+.f64 x (sin.f64 y)))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 y) z) x) #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 z z) (+.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 (*.f64 (cos.f64 y) z) x)))) (sin.f64 y))
(fma.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 x x)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64))) (sin.f64 y))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) (+.f64 x (sin.f64 y)))
(fma.f64 (/.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) (/.f64 x x) (+.f64 x (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))) #s(literal 1 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 (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 (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 (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (.f64 (/.f64 z x) x) x)) (-.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 (+.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))))) (-.f64 (fma.f64 (cos.f64 y) (*.f64 (/.f64 z x) x) x) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y)))))
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(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal -1/24 binary64)))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal -1/24 binary64)))))
(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 y #s(literal 1/24 binary64)) y #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
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(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)) (.f64 (*.f64 y y) #s(literal 1/48 binary64))))))
(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 y y) #s(literal 1/48 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/576 binary64) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal -1/24 binary64)))))
(+.f64 z (sin.f64 y))
(+.f64 (sin.f64 y) z)
(+.f64 (/.f64 (.f64 z z) (-.f64 z (sin.f64 y))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 z (sin.f64 y)))))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (sin.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 z (sin.f64 y))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (sin.f64 y) z)) (/.f64 (.f64 z z) (-.f64 (sin.f64 y) z)))
(fma.f64 z #s(literal 1 binary64) (sin.f64 y))
(fma.f64 #s(literal 1 binary64) z (sin.f64 y))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) z)
(fma.f64 (neg.f64 z) #s(literal -1 binary64) (sin.f64 y))
(fma.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 z (sin.f64 y))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 z (sin.f64 y)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (sin.f64 y))) #s(literal 1 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 z) (.f64 z (sin.f64 y)))) (fma.f64 z (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 y) z) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))))
(/.f64 (fma.f64 z (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) z) (.f64 z z)))
(/.f64 (fma.f64 z (.f64 z z) (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 (.f64 z z) (.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 z (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (fma.f64 z (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) z) (.f64 z z))))
(/.f64 (neg.f64 (fma.f64 z (.f64 z z) (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 (.f64 z z) (.f64 z (sin.f64 y))))))
(/.f64 (neg.f64 (-.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (neg.f64 (-.f64 z (sin.f64 y))))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (-.f64 (sin.f64 y) z))
(/.f64 (-.f64 (.f64 (.f64 z z) (-.f64 z (sin.f64 y))) (.f64 (-.f64 z (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (*.f64 (-.f64 z (sin.f64 y)) (-.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 z (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) z) (.f64 z z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))))) (neg.f64 (neg.f64 (-.f64 z (sin.f64 y)))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z))) (neg.f64 (-.f64 (sin.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z z) (-.f64 z (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 z (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 z z) (-.f64 z (sin.f64 y))) (/.f64 (.f64 z z) (-.f64 z (sin.f64 y))) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 z (sin.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 z (sin.f64 y))) (.f64 (/.f64 (.f64 z z) (-.f64 z (sin.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z z) (-.f64 z (sin.f64 y))) (/.f64 (.f64 z z) (-.f64 z (sin.f64 y)))) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 z (sin.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 z (sin.f64 y))))) (+.f64 (/.f64 (.f64 z z) (-.f64 z (sin.f64 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 z (sin.f64 y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (sin.f64 y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z (sin.f64 y)))
(.f64 (fma.f64 z (.f64 z z) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) z) (*.f64 z z))))
(.f64 (fma.f64 z (.f64 z z) (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 z z) (*.f64 z (sin.f64 y))))))
(.f64 (-.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 z (sin.f64 y))))
(.f64 (neg.f64 (fma.f64 z (.f64 z z) (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) z) (*.f64 z z)))))
(.f64 (neg.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) (neg.f64 (-.f64 z (sin.f64 y)))))
(.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) z)))
(sin.f64 y)
(*.f64 #s(literal 1 binary64) (sin.f64 y))

simplify525.0ms (5.8%)

Memory

-5.6MiB live, 514.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 786×	`accelerator-lowering-fma.f32`
12 786×	`accelerator-lowering-fma.f64`
4 944×	`-lowering-.f32`
4 944×	`-lowering-.f64`
2 324×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	2019
1	594	1988
2	1630	1936
3	4870	1825
0	8036	1663

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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

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

eval142.0ms (1.6%)

Memory: 17.6MiB live, 171.0MiB allocated
Compiler: Compiled 14 733 to 1 378 computations (90.6% saved)

prune104.0ms (1.1%)

Memory

10.1MiB live, 287.8MiB allocated

Pruning

33 alts after pruning (27 fresh and 6 done)

	Pruned	Kept	Total
New	705	19	724
Fresh	5	8	13
Picked	2	3	5
Done	0	3	3
Total	712	33	745

Accuracy

100.0%

Counts

745 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.7%	(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) z)
▶	90.3%	(fma.f64 (/.f64 z x) (*.f64 (cos.f64 y) x) (+.f64 x (sin.f64 y)))
	14.4%	(fma.f64 (.f64 y y) (/.f64 (.f64 (.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 #s(literal 1/2 binary64) z))) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 #s(literal 1/2 binary64) z))) z)
	14.4%	(fma.f64 (.f64 y y) (.f64 (.f64 (.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 #s(literal 1/2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (*.f64 #s(literal 1/2 binary64) z)))) z)
	24.1%	(fma.f64 (.f64 y y) (.f64 z (.f64 y (.f64 y #s(literal 1/24 binary64)))) z)
	24.0%	(fma.f64 (.f64 y y) (.f64 z #s(literal -1/2 binary64)) z)
	55.0%	(fma.f64 z (/.f64 (+.f64 y x) z) z)
✓	61.4%	(fma.f64 z (cos.f64 y) (sin.f64 y))
	30.7%	(fma.f64 z #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y))
	30.7%	(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)) z)
▶	30.8%	(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z)
	90.3%	(fma.f64 x (fma.f64 (/.f64 (cos.f64 y) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) (sin.f64 y))
✓	90.4%	(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))
	65.9%	(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) y)
	60.4%	(fma.f64 x (/.f64 (+.f64 y z) x) x)
	51.9%	(fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y))
	36.7%	(/.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 (sin.f64 y) (*.f64 z (cos.f64 y))))
	61.3%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	46.5%	(+.f64 (sin.f64 y) z)
▶	62.0%	(+.f64 (sin.f64 y) x)
▶	44.1%	(+.f64 z (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))
✓	65.5%	(+.f64 z (+.f64 y x))
	31.6%	(+.f64 z y)
	63.2%	(+.f64 z x)
	43.2%	(+.f64 y x)
	77.5%	(+.f64 x (*.f64 z (cos.f64 y)))
✓	39.6%	(*.f64 z (cos.f64 y))
	3.1%	(.f64 y (.f64 y (.f64 y (.f64 y (*.f64 z #s(literal 1/24 binary64))))))
	2.9%	(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
	23.7%	(sin.f64 y)
✓	25.5%	z
▶	9.4%	y
✓	40.7%	x

Compiler

Compiled 824 to 481 computations (41.6% saved)

simplify320.0ms (3.5%)

Memory

-28.3MiB live, 538.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(+.f64 (sin.f64 y) x)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 (+.f64 x y) (-.f64 y x))
✓	cost-diff	0	(+.f64 z (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))
✓	cost-diff	1408	(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
✓	cost-diff	0	(*.f64 y #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 (cos.f64 y) x)
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	1024	(fma.f64 (/.f64 z x) (*.f64 (cos.f64 y) x) (+.f64 x (sin.f64 y)))

Rules

11 070×	`accelerator-lowering-fma.f32`
11 070×	`accelerator-lowering-fma.f64`
3 572×	`-lowering-.f32`
3 572×	`-lowering-.f64`
1 424×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	113
1	54	95
2	120	87
3	235	85
4	477	83
5	1959	83
6	6325	83
0	8181	80

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize90.0ms (1%)

Memory

16.0MiB live, 221.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (sin.f64 y) x)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(+.f64 z (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) (-.f64 y x))
✓	accuracy	57.1%	(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) z)
✓	accuracy	99.9%	(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 (cos.f64 y) x)
✓	accuracy	90.3%	(fma.f64 (/.f64 z x) (*.f64 (cos.f64 y) x) (+.f64 x (sin.f64 y)))

Samples

63.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 103 to 25 computations (75.7% saved)

Precisions

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

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

ival-add: 11.0ms (22.8% of total)

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

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

ival-div: 4.0ms (8.3% of total)

const: 4.0ms (8.3% of total)

ival-sub: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

-7.5MiB live, 30.0MiB allocated

Counts

13 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(* y -1/6)
0.0ms	y	@	inf	(+ (* y (+ (* y (* y -1/6)) 1)) z)
0.0ms	y	@	-inf	(+ (* y (+ (* y (* y -1/6)) 1)) z)
0.0ms	z	@	0	(+ (* y (+ (* y (* y -1/6)) 1)) z)
0.0ms	y	@	-inf	(* (+ x y) (- y x))

rewrite326.0ms (3.6%)

Memory

19.5MiB live, 894.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 314×	`/-lowering-/.f32`
5 314×	`/-lowering-/.f64`
4 784×	`-lowering-.f32`
4 784×	`-lowering-.f64`
3 012×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	91
1	151	65
2	1598	65
0	8558	61

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 650

Calls

Call 1

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

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

simplify339.0ms (3.7%)

Memory

-20.4MiB live, 777.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 976×	`accelerator-lowering-fma.f32`
8 976×	`accelerator-lowering-fma.f64`
4 514×	`-lowering-.f32`
4 514×	`-lowering-.f64`
3 710×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	1927
1	687	1816
2	2022	1757
3	7765	1757
0	8224	1637

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval122.0ms (1.3%)

Memory: 21.2MiB live, 303.3MiB allocated
Compiler: Compiled 23 412 to 2 125 computations (90.9% saved)

prune149.0ms (1.6%)

Memory

-6.0MiB live, 307.6MiB allocated

Pruning

38 alts after pruning (30 fresh and 8 done)

	Pruned	Kept	Total
New	940	11	951
Fresh	3	19	22
Picked	3	2	5
Done	0	6	6
Total	946	38	984

Accuracy

100.0%

Counts

984 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.7%	(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) z)
	85.9%	(fma.f64 (/.f64 (cos.f64 y) x) (/.f64 x (/.f64 #s(literal 1 binary64) z)) (+.f64 x (sin.f64 y)))
	65.9%	(fma.f64 (/.f64 z x) (*.f64 (cos.f64 y) x) (+.f64 x y))
	85.9%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) z)) (+.f64 x (sin.f64 y)))
	85.9%	(fma.f64 (.f64 (.f64 z x) (cos.f64 y)) (/.f64 #s(literal 1 binary64) x) (+.f64 x (sin.f64 y)))
	14.4%	(fma.f64 (.f64 y y) (/.f64 (.f64 (.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 #s(literal 1/2 binary64) z))) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 #s(literal 1/2 binary64) z))) z)
	14.4%	(fma.f64 (.f64 y y) (.f64 (.f64 (.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 #s(literal 1/2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (*.f64 #s(literal 1/2 binary64) z)))) z)
	24.1%	(fma.f64 (.f64 y y) (.f64 z (.f64 y (.f64 y #s(literal 1/24 binary64)))) z)
	24.0%	(fma.f64 (.f64 y y) (.f64 z #s(literal -1/2 binary64)) z)
	55.0%	(fma.f64 z (/.f64 (+.f64 y x) z) z)
✓	61.4%	(fma.f64 z (cos.f64 y) (sin.f64 y))
	30.7%	(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)) z)
	9.1%	(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
✓	90.4%	(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))
	65.9%	(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) y)
	60.4%	(fma.f64 x (/.f64 (+.f64 y z) x) x)
	51.9%	(fma.f64 x (/.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y))
	61.3%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	46.5%	(+.f64 (sin.f64 y) z)
✓	62.0%	(+.f64 (sin.f64 y) x)
	18.0%	(+.f64 z (/.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (-.f64 y x))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (-.f64 y x)))
	24.5%	(+.f64 z (/.f64 (/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (+.f64 x y) (-.f64 x y))) (-.f64 y x)))
	31.0%	(+.f64 z (/.f64 (.f64 (.f64 x x) (fma.f64 y (/.f64 y (*.f64 x x)) #s(literal -1 binary64))) (-.f64 y x)))
	30.3%	(+.f64 z (/.f64 (*.f64 y y) (-.f64 y x)))
	38.9%	(+.f64 z (/.f64 (*.f64 x (neg.f64 x)) (-.f64 y x)))
✓	65.5%	(+.f64 z (+.f64 y x))
	31.6%	(+.f64 z y)
	63.2%	(+.f64 z x)
	43.2%	(+.f64 y x)
	77.5%	(+.f64 x (*.f64 z (cos.f64 y)))
✓	39.6%	(*.f64 z (cos.f64 y))
	3.1%	(.f64 y (.f64 y (.f64 y (.f64 y (*.f64 z #s(literal 1/24 binary64))))))
	2.9%	(.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
	2.9%	(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
	23.7%	(sin.f64 y)
✓	25.5%	z
✓	9.4%	y
✓	40.7%	x

Compiler

Compiled 1 239 to 468 computations (62.2% saved)

regimes99.0ms (1.1%)

Memory

2.1MiB live, 156.2MiB allocated

Counts

58 → 1

Calls

Call 1

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

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

Calls

4 calls:

41.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
19.0ms	z
19.0ms	y
18.0ms	x

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)

regimes66.0ms (0.7%)

Memory

-2.5MiB live, 126.3MiB allocated

Counts

45 → 3

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
16.0ms	y
15.0ms	x
13.0ms	z

Results

Accuracy	Segments	Branch
96.6%	4	`x`
89.1%	3	`y`
99.2%	3	`z`
99.2%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes43.0ms (0.5%)

Memory

16.1MiB live, 98.9MiB allocated

Counts

41 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	z
14.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
12.0ms	x

Results

Accuracy	Segments	Branch
84.8%	1	`x`
94.6%	3	`z`
84.8%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes29.0ms (0.3%)

Memory

-9.3MiB live, 66.2MiB allocated

Counts

39 → 4

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	y
11.0ms	z

Results

Accuracy	Segments	Branch
83.5%	3	`y`
89.9%	4	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes52.0ms (0.6%)

Memory

0.8MiB live, 120.7MiB allocated

Counts

38 → 3

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
13.0ms	z
13.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
83.5%	3	`y`
79.9%	3	`x`
84.8%	5	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
81.1%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes26.0ms (0.3%)

Memory

14.5MiB live, 52.7MiB allocated

Counts

36 → 5

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	y
11.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

Results

Accuracy	Segments	Branch
84.3%	5	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
71.4%	3	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes104.0ms (1.1%)

Memory

-33.1MiB live, 86.0MiB allocated

Counts

35 → 2

Calls

Call 1

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

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

Calls

4 calls:

43.0ms	z
36.0ms	y
10.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
10.0ms	x

Results

Accuracy	Segments	Branch
68.8%	2	`y`
69.3%	3	`x`
68.0%	2	`z`
69.9%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes13.0ms (0.1%)

Memory

31.4MiB live, 31.4MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
68.2%	3	`x`
67.6%	3	`z`
66.5%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
63.2%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory

-8.5MiB live, 30.3MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs
x
(+.f64 y z)
x

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
54.0%	5	`y`
48.6%	4	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
56.5%	4	`z`
58.7%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

-23.6MiB live, 15.6MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)

Outputs
z
x
(+.f64 y x)
z

Calls

2 calls:

3.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
56.5%	4	`z`
52.9%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
x
y
z

Outputs
x
z
x

Calls

2 calls:

2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
52.9%	3	`x`
51.8%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
x
y

Outputs
x
y
x

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.7%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
40.7%	1	`y`
40.7%	1	`z`
46.1%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Memory

-48.6MiB live, 4.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
40.7%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9975440707475881	487979454744832.75
0.0ms	-107867.07220523941	-0.9998468135043704

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch37.0ms (0.4%)

Memory

26.8MiB live, 64.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.423709567356602e+179	1.1482947811910217e+183
17.0ms	-1.0501544714475462e+96	-1.3757568625079877e+87

Samples

23.0ms

272×

valid

Compiler

Compiled 321 to 235 computations (26.8% saved)

Precisions

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

ival-cos: 6.0ms (36.7% of total)

ival-sin: 6.0ms (36.7% of total)

ival-add: 2.0ms (12.2% of total)

ival-mult: 2.0ms (12.2% of total)

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

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

bsearch65.0ms (0.7%)

Memory

-20.8MiB live, 95.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	3.423709567356602e+179	1.1482947811910217e+183
20.0ms	458358.4743787982	487979454744832.75
22.0ms	-3.827178294796759e+86	-3.454736964379764e+76

Samples

43.0ms

432×

valid

Compiler

Compiled 430 to 321 computations (25.3% saved)

Precisions

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

ival-cos: 12.0ms (40.9% of total)

ival-sin: 10.0ms (34.1% of total)

ival-add: 4.0ms (13.6% of total)

ival-mult: 3.0ms (10.2% of total)

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

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

bsearch34.0ms (0.4%)

Memory

18.3MiB live, 56.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.953075718213921e-36	3.477384901511548e-21
15.0ms	-371.115208771129	-2.2106142873340826e-8

Samples

18.0ms

320×

valid

Compiler

Compiled 355 to 254 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 3.0ms (28.9% of total)

ival-sin: 3.0ms (28.9% of total)

ival-cos: 2.0ms (19.3% of total)

ival-mult: 2.0ms (19.3% of total)

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

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9975440707475881	487979454744832.75
0.0ms	9.844969095289634e-19	1.5613541149801977e-9
0.0ms	-0.1076011208635803	-2.2106142872553185e-8
0.0ms	-90423698.10718758	-107867.07220523941

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch27.0ms (0.3%)

Memory

-0.6MiB live, 36.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	106465133.48550509	4.4773896098071714e+20

Samples

21.0ms

160×

valid

Compiler

Compiled 175 to 124 computations (29.1% saved)

Precisions

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

ival-sin: 6.0ms (45.6% of total)

ival-cos: 5.0ms (38% of total)

ival-add: 1.0ms (7.6% of total)

ival-mult: 1.0ms (7.6% of total)

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

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

bsearch39.0ms (0.4%)

Memory

17.8MiB live, 55.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.805770388604612e-144	1.325950558476274e-140
22.0ms	-3.2432585968854086e-125	-4.0399725646660586e-138

Samples

24.0ms

288×

valid

Compiler

Compiled 267 to 194 computations (27.3% saved)

Precisions

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

ival-sin: 7.0ms (41.7% of total)

ival-cos: 5.0ms (29.8% of total)

ival-add: 3.0ms (17.9% of total)

ival-mult: 2.0ms (11.9% of total)

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

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

bsearch28.0ms (0.3%)

Memory

-2.9MiB live, 40.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.615369325934259e+32	4.6118707658311914e+32
17.0ms	-5.118418834732892e+36	-3.131356134194584e+35

Samples

16.0ms

192×

valid

Compiler

Compiled 159 to 122 computations (23.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sin: 4.0ms (37.1% of total)

ival-cos: 3.0ms (27.8% of total)

ival-add: 2.0ms (18.6% of total)

ival-mult: 1.0ms (9.3% of total)

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

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

bsearch66.0ms (0.7%)

Memory

-4.4MiB live, 108.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
22.0ms	1.9971304010541803e-11	458358.4743787982
18.0ms	-7.08174819403216e-98	-5.748657219215633e-103
22.0ms	-3.827178294796759e+86	-3.454736964379764e+76

Samples

47.0ms

464×

valid

Compiler

Compiled 343 to 265 computations (22.7% saved)

Precisions

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

ival-cos: 12.0ms (37.5% of total)

ival-sin: 11.0ms (34.3% of total)

ival-mult: 5.0ms (15.6% of total)

ival-add: 4.0ms (12.5% of total)

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

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

bsearch30.0ms (0.3%)

Memory

-1.1MiB live, 40.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.615369325934259e+32	4.6118707658311914e+32
19.0ms	-5.118418834732892e+36	-3.131356134194584e+35

Samples

16.0ms

192×

valid

Compiler

Compiled 135 to 110 computations (18.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 4.0ms (35.4% of total)

ival-sin: 4.0ms (35.4% of total)

ival-add: 2.0ms (17.7% of total)

ival-mult: 1.0ms (8.8% of total)

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

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

bsearch43.0ms (0.5%)

Memory

-7.0MiB live, 65.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.805770388604612e-144	1.325950558476274e-140
22.0ms	-3.2432585968854086e-125	-4.0399725646660586e-138

Samples

24.0ms

288×

valid

Compiler

Compiled 195 to 158 computations (19% saved)

Precisions

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

ival-sin: 6.0ms (36.3% of total)

ival-cos: 5.0ms (30.3% of total)

ival-add: 3.0ms (18.2% of total)

ival-mult: 2.0ms (12.1% 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`
14×	`if-if-or-not_binary32`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	254
1	124	254

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -100000 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1 binary64)) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -13500000000000000643489553776017109701204452391195134635823938488857858993739487001664435519488 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 2800000000000000118033683367941137564745217594050038994192456870996790861886205617154107396351077762434982507131839524032722884415918699573952140673802342026454236819296769070333952 binary64)) (+.f64 (+.f64 x (sin.f64 y)) z) (.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -35000000000000000040166663097701160078496512586370605152772489589351038058496 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 460000 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 489999999999999986104236647297950853845477339930416147864406083865718658616283185343056174804411764375889469470190133794333911107345297879202141311719188243044094854332476179873792 binary64)) (+.f64 z x) (.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -5188146770730811/576460752303423488 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 2259687592834357/664613997892457936451903530140172288 binary64)) (+.f64 y (+.f64 z x)) (+.f64 (sin.f64 y) x)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -50000000 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -3602879701896397/36028797018963968 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) (+.f64 y (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1 binary64)) (sin.f64 y) (+.f64 z x)))))
(if (<=.f64 y #s(literal 310000000000 binary64)) (+.f64 y (+.f64 z x)) (+.f64 z x))
(if (<=.f64 x #s(literal -3603348381172073/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256 binary64)) (+.f64 z x) (if (<=.f64 x #s(literal 2359774195669897/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 binary64)) (+.f64 y z) (+.f64 z x)))
(if (<=.f64 x #s(literal -660000000000000030949099718645383168 binary64)) x (if (<=.f64 x #s(literal 190000000000000015600027741192192 binary64)) (+.f64 y z) x))
(if (<=.f64 z #s(literal -14999999999999999451101948446329861316540714837910351690520545765140629752314331136 binary64)) z (if (<=.f64 z #s(literal -8473007412472669/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) x (if (<=.f64 z #s(literal 225000 binary64)) (+.f64 y x) z)))
(if (<=.f64 x #s(literal -314999999999999984585580017828757504 binary64)) x (if (<=.f64 x #s(literal 165000000000000009754887562723328 binary64)) z x))
(if (<=.f64 x #s(literal -1728350240969163/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) x (if (<=.f64 x #s(literal 5711511653228667/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728 binary64)) y x))
x

Outputs
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -100000 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1 binary64)) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal -100000 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal 1 binary64)) (+.f64 z (+.f64 x (sin.f64 y))) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -13500000000000000643489553776017109701204452391195134635823938488857858993739487001664435519488 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 2800000000000000118033683367941137564745217594050038994192456870996790861886205617154107396351077762434982507131839524032722884415918699573952140673802342026454236819296769070333952 binary64)) (+.f64 (+.f64 x (sin.f64 y)) z) (.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -13500000000000000643489553776017109701204452391195134635823938488857858993739487001664435519488 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 2800000000000000118033683367941137564745217594050038994192456870996790861886205617154107396351077762434982507131839524032722884415918699573952140673802342026454236819296769070333952 binary64)) (+.f64 z (+.f64 x (sin.f64 y))) (.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -35000000000000000040166663097701160078496512586370605152772489589351038058496 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 460000 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 489999999999999986104236647297950853845477339930416147864406083865718658616283185343056174804411764375889469470190133794333911107345297879202141311719188243044094854332476179873792 binary64)) (+.f64 z x) (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -35000000000000000040166663097701160078496512586370605152772489589351038058496 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 460000 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 z #s(literal 489999999999999986104236647297950853845477339930416147864406083865718658616283185343056174804411764375889469470190133794333911107345297879202141311719188243044094854332476179873792 binary64)) (+.f64 x z) (.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -5188146770730811/576460752303423488 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 2259687592834357/664613997892457936451903530140172288 binary64)) (+.f64 y (+.f64 z x)) (+.f64 (sin.f64 y) x)))
(if (<=.f64 y #s(literal -5188146770730811/576460752303423488 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 2259687592834357/664613997892457936451903530140172288 binary64)) (+.f64 y (+.f64 x z)) (+.f64 x (sin.f64 y))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -50000000 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -3602879701896397/36028797018963968 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) (+.f64 y (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1 binary64)) (sin.f64 y) (+.f64 z x)))))
(if (<=.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal -50000000 binary64)) (+.f64 x z) (if (<=.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal -3602879701896397/36028797018963968 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal 1298074214633707/1298074214633706907132624082305024 binary64)) (+.f64 y (+.f64 x z)) (if (<=.f64 (+.f64 (.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal 1 binary64)) (sin.f64 y) (+.f64 x z)))))
(if (<=.f64 y #s(literal 310000000000 binary64)) (+.f64 y (+.f64 z x)) (+.f64 z x))
(if (<=.f64 y #s(literal 310000000000 binary64)) (+.f64 y (+.f64 x z)) (+.f64 x z))
(if (<=.f64 x #s(literal -3603348381172073/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256 binary64)) (+.f64 z x) (if (<=.f64 x #s(literal 2359774195669897/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 binary64)) (+.f64 y z) (+.f64 z x)))
(if (<=.f64 x #s(literal -3603348381172073/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256 binary64)) (+.f64 x z) (if (<=.f64 x #s(literal 2359774195669897/214524926879081553593184399971293538039669853129478294043576983099548224481176751628829988770670454843040509730983776813660062124991145119142938384097345536 binary64)) (+.f64 y z) (+.f64 x z)))
(if (<=.f64 x #s(literal -660000000000000030949099718645383168 binary64)) x (if (<=.f64 x #s(literal 190000000000000015600027741192192 binary64)) (+.f64 y z) x))
(if (<=.f64 z #s(literal -14999999999999999451101948446329861316540714837910351690520545765140629752314331136 binary64)) z (if (<=.f64 z #s(literal -8473007412472669/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) x (if (<=.f64 z #s(literal 225000 binary64)) (+.f64 y x) z)))
(if (<=.f64 z #s(literal -14999999999999999451101948446329861316540714837910351690520545765140629752314331136 binary64)) z (if (<=.f64 z #s(literal -8473007412472669/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) x (if (<=.f64 z #s(literal 225000 binary64)) (+.f64 x y) z)))
(if (<=.f64 x #s(literal -314999999999999984585580017828757504 binary64)) x (if (<=.f64 x #s(literal 165000000000000009754887562723328 binary64)) z x))
(if (<=.f64 x #s(literal -1728350240969163/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008 binary64)) x (if (<=.f64 x #s(literal 5711511653228667/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728 binary64)) y x))
x

soundness1.3s (14.6%)

Memory

-22.7MiB live, 784.8MiB allocated

Rules

12 786×	`accelerator-lowering-fma.f32`
12 786×	`accelerator-lowering-fma.f64`
11 712×	`accelerator-lowering-fma.f32`
11 712×	`accelerator-lowering-fma.f64`
10 414×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	2019
1	594	1988
2	1630	1936
3	4870	1825
0	8036	1663
0	109	647
1	310	643
2	852	633
3	2193	631
4	4247	631
5	7326	631
0	8046	578
0	272	2321
1	794	2286
2	2254	2228
3	6216	2168
0	8460	1973

Stop Event

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

Compiler

Compiled 505 to 247 computations (51.1% saved)

preprocess70.0ms (0.8%)

Memory: 21.8MiB live, 137.8MiB allocated
Compiler: Compiled 564 to 190 computations (66.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.6s (18.1%)

preprocess67.0ms (0.7%)

explain131.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize33.0ms (0.4%)

series8.0ms (0.1%)

rewrite305.0ms (3.4%)

simplify300.0ms (3.3%)

eval32.0ms (0.4%)

prune35.0ms (0.4%)

simplify18.0ms (0.2%)

localize69.0ms (0.8%)

series14.0ms (0.2%)

rewrite363.0ms (4%)

simplify377.0ms (4.2%)

eval155.0ms (1.7%)

prune175.0ms (1.9%)

simplify294.0ms (3.2%)

localize110.0ms (1.2%)

series18.0ms (0.2%)

rewrite542.0ms (6%)

simplify525.0ms (5.8%)

eval142.0ms (1.6%)

prune104.0ms (1.1%)

simplify320.0ms (3.5%)

localize90.0ms (1%)

series11.0ms (0.1%)

rewrite326.0ms (3.6%)

simplify339.0ms (3.7%)

eval122.0ms (1.3%)

prune149.0ms (1.6%)

regimes99.0ms (1.1%)

regimes66.0ms (0.7%)

regimes43.0ms (0.5%)

regimes29.0ms (0.3%)

regimes52.0ms (0.6%)

regimes26.0ms (0.3%)

regimes104.0ms (1.1%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch37.0ms (0.4%)

bsearch65.0ms (0.7%)

bsearch34.0ms (0.4%)

bsearch1.0ms (0%)

bsearch27.0ms (0.3%)

bsearch39.0ms (0.4%)

bsearch28.0ms (0.3%)

bsearch66.0ms (0.7%)

bsearch30.0ms (0.3%)

bsearch43.0ms (0.5%)

simplify11.0ms (0.1%)

soundness1.3s (14.6%)

preprocess70.0ms (0.8%)

end0.0ms (0%)

Profiling