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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.6s (17.3%)

Memory

24.3MiB live, 1 652.7MiB allocated

Samples

1.3s	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 796.0ms

ival-add: 290.0ms (36.4% of total)

ival-cos: 251.0ms (31.5% of total)

ival-sin: 193.0ms (24.2% of total)

ival-mult: 53.0ms (6.7% of total)

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

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

adjust: 0.0ms (0% of total)

Bogosity

preprocess74.0ms (0.8%)

Memory

12.0MiB live, 50.7MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain114.0ms (1.2%)

Memory

-27.3MiB live, 235.0MiB 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

50.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sin: 14.0ms (42.5% of total)

ival-cos: 11.0ms (33.4% of total)

ival-add: 4.0ms (12.1% of total)

ival-mult: 3.0ms (9.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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

11.9MiB live, 11.9MiB 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

-3.8MiB live, 77.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓	accuracy	100.0%	(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: 16.0ms

ival-cos: 6.0ms (38.5% of total)

ival-sin: 6.0ms (38.5% of total)

ival-add: 2.0ms (12.8% of total)

ival-mult: 2.0ms (12.8% of total)

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

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

series7.0ms (0.1%)

Memory

-21.9MiB live, 17.3MiB 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
2.0ms	z	@	0	(* z (cos y))
1.0ms	x	@	0	(+ (+ x (sin y)) (* z (cos y)))
1.0ms	y	@	inf	(+ (+ x (sin y)) (* z (cos y)))
0.0ms	z	@	0	(+ (+ x (sin y)) (* z (cos y)))
0.0ms	y	@	-inf	(+ (+ x (sin y)) (* z (cos y)))

rewrite280.0ms (3%)

Memory

24.8MiB live, 498.9MiB 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)))))))
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(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))) (-.f64 (fma.f64 x x #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 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (sin.f64 y) x) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (*.f64 x x)))) #s(literal -1 binary64))
(.f64 (+.f64 x (sin.f64 y)) (.f64 (-.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y)))))
(*.f64 (+.f64 x (sin.f64 y)) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))))
(.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))
(.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (.f64 x x)) (.f64 (+.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (.f64 x x)))))
(.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (.f64 x x)) (/.f64 (+.f64 x (sin.f64 y)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))
(.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))))
(.f64 (neg.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y)))))
(*.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
(.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)))
(.f64 (/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (sin.f64 y)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (pow.f64 (.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (-.f64 (.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (.f64 (sin.f64 y) (-.f64 (sin.f64 y) x)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))))
(.f64 (/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (+.f64 x (sin.f64 y)) (.f64 x x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
(sin.f64 y)
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(cos.f64 y)

simplify375.0ms (4%)

Memory

-10.4MiB live, 389.1MiB 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)

eval70.0ms (0.7%)

Memory: -3.1MiB live, 34.6MiB allocated
Compiler: Compiled 6 642 to 596 computations (91% saved)

prune37.0ms (0.4%)

Memory

6.1MiB live, 45.6MiB 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
▶	56.8%	(fma.f64 z (cos.f64 y) (sin.f64 y))
	52.1%	(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))
	54.6%	(/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))
▶	99.8%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y)))
	83.5%	(+.f64 (+.f64 x (sin.f64 y)) z)
	60.9%	(+.f64 (sin.f64 y) x)
▶	55.3%	(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
	65.3%	(+.f64 z x)
	59.3%	(+.f64 y (+.f64 z x))
	81.8%	(+.f64 x (*.f64 z (cos.f64 y)))
	54.4%	(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
▶	39.8%	(*.f64 z (cos.f64 y))
▶	43.3%	x

Compiler

Compiled 312 to 194 computations (37.8% saved)

simplify16.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB 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)

localize103.0ms (1.1%)

Memory

16.4MiB live, 55.4MiB 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 #s(literal -1/2 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	99.9%	(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(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	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))))

Samples

42.0ms

256×

valid

Compiler

Compiled 100 to 21 computations (79% saved)

Precisions

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

ival-mult: 7.0ms (25.2% of total)

ival-add: 6.0ms (21.6% of total)

ival-sin: 6.0ms (21.6% of total)

ival-cos: 5.0ms (18% of total)

ival-div: 3.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series47.0ms (0.5%)

Memory

-39.9MiB live, 9.3MiB 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
35.0ms	x	@	0	(/ 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	y	@	-inf	(/ 1 (+ x (sin y)))

rewrite536.0ms (5.7%)

Memory

32.5MiB live, 302.2MiB 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))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x)
(fma.f64 x #s(literal 1 binary64) (sin.f64 y))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.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)))))
(neg.f64 (-.f64 (neg.f64 x) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))))
(/.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 x x) (.f64 x (sin.f64 y)))) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(/.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 (+.f64 x (sin.f64 y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x (sin.f64 y))))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (.f64 x x)))
(/.f64 (fma.f64 x (.f64 x x) (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 x x) (.f64 x (sin.f64 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 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (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 x x) (.f64 x (sin.f64 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 (-.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 (-.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 (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 (sin.f64 y) (-.f64 (sin.f64 y) x) (.f64 x x)))))
(/.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 (-.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 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (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 x (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x (sin.f64 y))) (/.f64 (.f64 x x) (-.f64 x (sin.f64 y))) (fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 x (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 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 (.f64 x x) (-.f64 x (sin.f64 y))) (/.f64 (.f64 x x) (-.f64 x (sin.f64 y)))) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 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 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)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) #s(literal -1 binary64))
(pow.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))
(*.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 (+.f64 x (sin.f64 y)) (/.f64 (-.f64 x (sin.f64 y)) (-.f64 x (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (-.f64 (neg.f64 x) (sin.f64 y)) #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 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))
(.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 x x) (*.f64 x (sin.f64 y))))))
(.f64 (-.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 (neg.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)))))
(.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y)))))
(.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)))
(*.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.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)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.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 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (+.f64 x (sin.f64 y)) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+.f64 (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))
(+.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 x (-.f64 (sin.f64 y) (.f64 z (cos.f64 y))))) (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 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(+.f64 (fma.f64 z (cos.f64 y) x) (sin.f64 y))
(-.f64 (*.f64 z (cos.f64 y)) (-.f64 (neg.f64 x) (sin.f64 y)))
(-.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (+.f64 x (-.f64 (sin.f64 y) (.f64 z (cos.f64 y))))) (/.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (+.f64 x (-.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 (.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)))))
(fma.f64 #s(literal 1 binary64) x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(fma.f64 x #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) (+.f64 x (*.f64 z (cos.f64 y))))
(fma.f64 (+.f64 x (sin.f64 y)) #s(literal 1 binary64) (*.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 #s(literal -1 binary64) (-.f64 (neg.f64 x) (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) (*.f64 z (cos.f64 y)))
(fma.f64 (-.f64 (neg.f64 x) (sin.f64 y)) #s(literal -1 binary64) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 (sin.f64 y) (.f64 z (cos.f64 y))))) (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 x (-.f64 (sin.f64 y) (*.f64 z (cos.f64 y)))))))
(fma.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)))))) x)
(fma.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))))))) x)
(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 x (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (-.f64 (.f64 x x) (.f64 x (sin.f64 y))))) (*.f64 z (cos.f64 y)))
(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 #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))) x)
(fma.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.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))))))) x)
(fma.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)))) x)
(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 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sin.f64 y)))) (*.f64 z (cos.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 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 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 1/2 binary64)) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) #s(literal -1 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 (pow.f64 (/.f64 #s(literal 1 binary64) (-.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)) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 y))) (*.f64 z (cos.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))

simplify472.0ms (5%)

Memory

-5.4MiB live, 357.5MiB 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)

eval176.0ms (1.9%)

Memory: -7.0MiB live, 148.7MiB allocated
Compiler: Compiled 17 341 to 1 535 computations (91.1% saved)

prune130.0ms (1.4%)

Memory

1.4MiB live, 240.0MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	785	14	799
Fresh	3	5	8
Picked	2	3	5
Done	0	0	0
Total	790	22	812

Accuracy

100.0%

Counts

812 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.7%	(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
✓	56.8%	(fma.f64 z (cos.f64 y) (sin.f64 y))
	28.3%	(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)
	22.7%	(fma.f64 y (.f64 #s(literal -1/2 binary64) (.f64 y z)) z)
▶	90.4%	(fma.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) (sin.f64 y))
	55.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 x z))))
	56.8%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	83.5%	(+.f64 (+.f64 x (sin.f64 y)) z)
	60.9%	(+.f64 (sin.f64 y) x)
	35.5%	(+.f64 z (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) x))
	22.7%	(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
	65.3%	(+.f64 z x)
	29.2%	(+.f64 y z)
	37.5%	(+.f64 y x)
	81.8%	(+.f64 x (*.f64 z (cos.f64 y)))
	54.4%	(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
	22.6%	(.f64 z (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)))
✓	39.8%	(*.f64 z (cos.f64 y))
▶	2.8%	(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
▶	19.2%	(sin.f64 y)
▶	24.4%	z
✓	43.3%	x

Compiler

Compiled 520 to 326 computations (37.3% saved)

simplify551.0ms (5.9%)

Memory

15.3MiB live, 808.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(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 z)
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	cost-diff	0	(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
✓	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

15 380×	`accelerator-lowering-fma.f32`
15 380×	`accelerator-lowering-fma.f64`
7 462×	`-lowering-.f32`
7 462×	`-lowering-.f64`
2 160×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	92
1	60	92
2	165	92
3	382	88
4	564	88
5	690	88
6	1531	88
7	2095	88
8	2310	88
9	2511	88
10	2557	88
11	2570	88
12	3359	88
13	3727	88
14	4879	88
15	6709	88
16	7809	88
0	8432	82

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

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

localize81.0ms (0.9%)

Memory

-6.0MiB live, 202.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(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	99.6%	(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
✓	accuracy	92.2%	(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (.f64 y z))
✓	accuracy	99.8%	(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
✓	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

55.0ms

256×

valid

Compiler

Compiled 87 to 24 computations (72.4% saved)

Precisions

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

ival-mult: 16.0ms (39.3% of total)

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

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

ival-add: 4.0ms (9.8% of total)

ival-div: 3.0ms (7.4% of total)

const: 3.0ms (7.4% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

-15.3MiB live, 65.5MiB allocated

Counts

12 → 264

Calls

Call 1

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

66 calls:

Time	Variable		Point	Expression
5.0ms	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	y	@	inf	(+ (* x (+ (* (cos y) (/ z x)) 1)) (sin y))

rewrite440.0ms (4.7%)

Memory

16.2MiB live, 849.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 014×	`accelerator-lowering-fma.f32`
9 014×	`accelerator-lowering-fma.f64`
5 838×	`-lowering-.f32`
5 838×	`-lowering-.f64`
3 374×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	77
1	120	77
2	916	77
0	8856	70

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 361

Calls

Call 1

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

Outputs
(+.f64 x (fma.f64 x (/.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))
(+.f64 (fma.f64 (*.f64 x (cos.f64 y)) (/.f64 z x) x) (sin.f64 y))
(+.f64 (sin.f64 y) (fma.f64 (*.f64 x (cos.f64 y)) (/.f64 z x) x))
(+.f64 (/.f64 (.f64 x (.f64 (cos.f64 y) z)) x) (+.f64 x (sin.f64 y)))
(+.f64 (/.f64 (pow.f64 (fma.f64 (.f64 x (cos.f64 y)) (/.f64 z x) x) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 x (cos.f64 y)) (/.f64 z 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 (.f64 x (cos.f64 y)) (/.f64 z x) x) (sin.f64 y)))))
(+.f64 (+.f64 (sin.f64 y) (/.f64 (.f64 x (.f64 (cos.f64 y) z)) x)) x)
(+.f64 (+.f64 (sin.f64 y) x) (/.f64 (.f64 x (.f64 (cos.f64 y) z)) x))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 x (cos.f64 y)) (/.f64 z x) x) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 x (cos.f64 y)) (/.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 (.f64 x (cos.f64 y)) (/.f64 z 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 (.f64 x (cos.f64 y)) (/.f64 z x) x))) (/.f64 (pow.f64 (fma.f64 (.f64 x (cos.f64 y)) (/.f64 z x) x) #s(literal 2 binary64)) (-.f64 (sin.f64 y) (fma.f64 (.f64 x (cos.f64 y)) (/.f64 z x) x))))
(fma.f64 x (/.f64 (*.f64 (cos.f64 y) z) x) (+.f64 x (sin.f64 y)))
(fma.f64 x #s(literal 1 binary64) (fma.f64 x (/.f64 (*.f64 (cos.f64 y) z) 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) x (fma.f64 x (/.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))
(fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)) x (sin.f64 y))
(fma.f64 (fma.f64 (*.f64 x (cos.f64 y)) (/.f64 z x) x) #s(literal 1 binary64) (sin.f64 y))
(fma.f64 (pow.f64 (fma.f64 (.f64 x (cos.f64 y)) (/.f64 z x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (cos.f64 y)) (/.f64 z 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 (.f64 x (cos.f64 y)) (/.f64 z x) x) (sin.f64 y)))))
(fma.f64 (/.f64 (.f64 x (.f64 (cos.f64 y) z)) x) #s(literal 1 binary64) (+.f64 x (sin.f64 y)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (fma.f64 x (/.f64 (*.f64 (cos.f64 y) z) 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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (.f64 x x))) (.f64 x x) (.f64 x (-.f64 x (/.f64 (.f64 x (.f64 (cos.f64 y) z)) x))))) (sin.f64 y))
(fma.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (.f64 x x))) (.f64 x x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64)))) (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 (fma.f64 x (pow.f64 (/.f64 (.f64 (cos.f64 y) z) x) #s(literal 3 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 y) z) x)))) (sin.f64 y))
(fma.f64 (.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (.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) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 y) z) x)))) (sin.f64 y))
(fma.f64 (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 z z) (.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 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) (/.f64 x x) (+.f64 x (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 x z) (.f64 (/.f64 #s(literal 1 binary64) x) (cos.f64 y)) (+.f64 x (sin.f64 y)))
(fma.f64 (.f64 (.f64 x (cos.f64 y)) #s(literal 1 binary64)) (/.f64 z x) (+.f64 x (sin.f64 y)))
(fma.f64 (.f64 (.f64 x (cos.f64 y)) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x) (+.f64 x (sin.f64 y)))
(fma.f64 (.f64 (.f64 x (cos.f64 y)) (/.f64 #s(literal 1 binary64) x)) z (+.f64 x (sin.f64 y)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 x (cos.f64 y)) (/.f64 z x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (fma.f64 (.f64 x (cos.f64 y)) (/.f64 z x) x)) (pow.f64 (fma.f64 (*.f64 x (cos.f64 y)) (/.f64 z x) x) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (+.f64 (-.f64 (pow.f64 (fma.f64 (.f64 x (cos.f64 y)) (/.f64 z x) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (cos.f64 y)) (/.f64 z x) x) (sin.f64 y)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (.f64 x (cos.f64 y)) (/.f64 z 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 (.f64 x (cos.f64 y)) (/.f64 z x) x)) (pow.f64 (fma.f64 (*.f64 x (cos.f64 y)) (/.f64 z x) x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 (fma.f64 (.f64 x (cos.f64 y)) (/.f64 z x) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (fma.f64 (*.f64 x (cos.f64 y)) (/.f64 z x) 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)))
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(.f64 (.f64 z (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 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal 1/48 binary64)))))
(.f64 (.f64 z (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 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal 1/48 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) z) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))
(+.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(+.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64))) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64))) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(-.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 (*.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) (.f64 (.f64 y y) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 y (.f64 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))
(neg.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) (neg.f64 (+.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal 1/48 binary64))))))
(neg.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 y y) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))
(neg.f64 (/.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 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal 1/48 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)) #s(literal -1/4 binary64))) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) (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 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/576 binary64) (.f64 (.f64 y (.f64 y y)) y)))))
(/.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 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal 1/48 binary64))))
(/.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 1/4 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) #s(literal 1/576 binary64)) #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)) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 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))) (neg.f64 (+.f64 (fma.f64 (.f64 (.f64 y (.f64 y 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 (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) (-.f64 (.f64 (*.f64 y y) #s(literal 1/576 binary64)) #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))) (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 (.f64 y y)) y))) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64))) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/13824 binary64))) (.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)))) #s(literal -1/512 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y))) #s(literal 1/64 binary64)) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)) #s(literal -1/110592 binary64))) (+.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal 1/48 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.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 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 y y) #s(literal 1/48 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/191102976 binary64) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y)) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) y))) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 y (.f64 y y)) y) (.f64 (.f64 y (.f64 y y)) y)) #s(literal 1/331776 binary64) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/2304 binary64)))) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y (.f64 y y)) y) (.f64 (.f64 y (.f64 y y)) y)) #s(literal 1/331776 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.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)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal 1/48 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (.f64 y y) #s(literal -1/24 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/576 binary64) (.f64 (.f64 y (.f64 y y)) y)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64))) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64))) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64))) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64))) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64))) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64))) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64))) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(.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 (fma.f64 (.f64 (.f64 y (.f64 y y)) y) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 y y) #s(literal 1/48 binary64)))))
(.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) (.f64 (.f64 y y) (-.f64 (.f64 (.f64 y y) #s(literal 1/576 binary64)) #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 y (*.f64 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 (.f64 y (.f64 y 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) (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 (.f64 y y)) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))
(sin.f64 y)

simplify378.0ms (4%)

Memory

15.9MiB live, 730.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 862×	`accelerator-lowering-fma.f32`
14 862×	`accelerator-lowering-fma.f64`
5 028×	`-lowering-.f32`
5 028×	`-lowering-.f64`
2 286×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	1908
1	437	1880
2	1222	1850
3	3640	1818
4	7106	1818
0	8109	1674

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

eval98.0ms (1%)

Memory: -20.5MiB live, 180.4MiB allocated
Compiler: Compiled 14 453 to 1 232 computations (91.5% saved)

prune84.0ms (0.9%)

Memory

16.2MiB live, 215.6MiB allocated

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	643	13	656
Fresh	4	10	14
Picked	1	4	5
Done	0	3	3
Total	648	30	678

Accuracy

100.0%

Counts

678 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.7%	(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y (*.f64 y z)) z)
▶	90.4%	(fma.f64 (/.f64 z x) (*.f64 (cos.f64 y) x) (+.f64 x (sin.f64 y)))
	21.9%	(fma.f64 (.f64 (.f64 y (.f64 y z)) (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 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) z)
✓	22.7%	(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
	22.6%	(fma.f64 (.f64 y y) (.f64 z (.f64 y (.f64 y #s(literal 1/24 binary64)))) z)
✓	56.8%	(fma.f64 z (cos.f64 y) (sin.f64 y))
	7.7%	(fma.f64 y (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
▶	22.7%	(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
	8.0%	(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
	66.6%	(fma.f64 x (/.f64 (+.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 (cos.f64 y) z) x) (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64))))) (sin.f64 y))
	90.3%	(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)))) (sin.f64 y))
	47.2%	(fma.f64 x (*.f64 z (/.f64 (cos.f64 y) x)) (sin.f64 y))
	55.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 x z))))
	83.1%	(+.f64 (/.f64 (.f64 x (.f64 (cos.f64 y) z)) x) (+.f64 x (sin.f64 y)))
	56.8%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 z (cos.f64 y)))
▶	83.5%	(+.f64 (+.f64 x (sin.f64 y)) z)
	60.9%	(+.f64 (sin.f64 y) x)
	22.7%	(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
	65.3%	(+.f64 z x)
	29.2%	(+.f64 y z)
	37.5%	(+.f64 y x)
	81.8%	(+.f64 x (*.f64 z (cos.f64 y)))
	22.6%	(.f64 z (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)))
✓	39.8%	(*.f64 z (cos.f64 y))
	3.0%	(.f64 y (.f64 y (.f64 (.f64 z (*.f64 y y)) #s(literal 1/24 binary64))))
✓	2.8%	(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
✓	19.2%	(sin.f64 y)
✓	24.4%	z
▶	8.0%	y
✓	43.3%	x

Compiler

Compiled 695 to 437 computations (37.1% saved)

simplify300.0ms (3.2%)

Memory

17.0MiB live, 367.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

8 564×	`/-lowering-/.f32`
8 564×	`/-lowering-/.f64`
5 038×	`-lowering-.f32`
5 038×	`-lowering-.f64`
4 946×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	104
1	55	104
2	125	104
3	254	102
4	414	100
5	491	100
6	965	100
7	2575	100
8	3771	100
9	3912	100
10	3918	100
11	3927	100
12	3927	100
13	3927	100
14	4209	100
15	4232	100
16	4233	100
17	4233	100
0	9825	95

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

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

localize95.0ms (1%)

Memory

-21.5MiB live, 144.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 x (sin.f64 y)) z)
✓	accuracy	100.0%	(+.f64 x (sin.f64 y))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y (*.f64 y z)) z)
✓	accuracy	99.9%	(fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
✓	accuracy	99.8%	(.f64 y (.f64 y z))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/24 binary64))
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 (cos.f64 y) x)
✓	accuracy	90.4%	(fma.f64 (/.f64 z x) (*.f64 (cos.f64 y) x) (+.f64 x (sin.f64 y)))

Samples

62.0ms

256×

valid

Compiler

Compiled 101 to 26 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 20.0ms (44.8% of total)

ival-add: 6.0ms (13.4% of total)

ival-sin: 6.0ms (13.4% of total)

ival-cos: 6.0ms (13.4% of total)

const: 4.0ms (9% of total)

ival-div: 2.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

14 → 300

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

Calls

75 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* (cos y) x)
0.0ms	y	@	inf	(* y 1/24)
0.0ms	y	@	-inf	(* y 1/24)
0.0ms	y	@	inf	(* (cos y) x)
0.0ms	z	@	-inf	(* y (* y z))

rewrite382.0ms (4.1%)

Memory

16.4MiB live, 481.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 278×	`accelerator-lowering-fma.f32`
7 278×	`accelerator-lowering-fma.f64`
4 360×	`-lowering-.f32`
4 360×	`-lowering-.f64`
4 114×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	81
1	132	81
2	1117	81
0	8204	75

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 441

Calls

Call 1

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

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

simplify427.0ms (4.6%)

Memory

-28.3MiB live, 771.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18 912×	`accelerator-lowering-fma.f32`
18 912×	`accelerator-lowering-fma.f64`
4 912×	`-lowering-.f32`
4 912×	`-lowering-.f64`
2 902×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	1913
1	490	1877
2	1326	1843
3	3774	1835
0	8196	1710

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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

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 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+.f64 x (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) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(-.f64 x (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(-.f64 x (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(+ x z)
(+.f64 x z)
(+ x (+ y z))
(+.f64 x (+.f64 y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(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 x z))
(+ 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 (+ (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 (+ (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 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
(+ x (* -1/2 (* x (pow y 2))))
(fma.f64 x (.f64 y (.f64 y #s(literal -1/2 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(fma.f64 (.f64 x (.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
(fma.f64 (.f64 x (.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)) x)
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
(*.f64 x (cos.f64 y))
(* x (cos y))
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eval125.0ms (1.3%)

Memory: 9.5MiB live, 156.0MiB allocated
Compiler: Compiled 18 595 to 1 396 computations (92.5% saved)

prune94.0ms (1%)

Memory

28.0MiB live, 190.2MiB allocated

Pruning

29 alts after pruning (20 fresh and 9 done)

	Pruned	Kept	Total
New	806	6	812
Fresh	4	14	18
Picked	3	2	5
Done	0	7	7
Total	813	29	842

Accuracy

100.0%

Counts

842 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.9%	(fma.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y (.f64 y z)) z)
	72.3%	(fma.f64 (/.f64 z x) (*.f64 (cos.f64 y) x) x)
	22.6%	(fma.f64 (.f64 y (.f64 y #s(literal 1/24 binary64))) (.f64 y (.f64 y z)) z)
✓	22.7%	(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
✓	56.8%	(fma.f64 z (cos.f64 y) (sin.f64 y))
	7.7%	(fma.f64 y (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
	8.0%	(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
	66.6%	(fma.f64 x (/.f64 (+.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 (cos.f64 y) z) x) (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64))))) (sin.f64 y))
	90.3%	(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)))) (sin.f64 y))
	22.7%	(fma.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y z)) z)
	82.8%	(/.f64 (fma.f64 (.f64 z (.f64 x (cos.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) x) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))))
	55.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 x z))))
	83.1%	(+.f64 (/.f64 (.f64 x (.f64 (cos.f64 y) z)) x) (+.f64 x (sin.f64 y)))
	56.8%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 z (cos.f64 y)))
✓	83.5%	(+.f64 (+.f64 x (sin.f64 y)) z)
	60.9%	(+.f64 (sin.f64 y) x)
	65.3%	(+.f64 z x)
	29.2%	(+.f64 y z)
	37.5%	(+.f64 y x)
	81.8%	(+.f64 x (*.f64 z (cos.f64 y)))
	22.6%	(.f64 z (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)))
	3.0%	(.f64 z (.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal 1/24 binary64)))))
✓	39.8%	(*.f64 z (cos.f64 y))
	3.0%	(.f64 y (.f64 y (.f64 (.f64 z (*.f64 y y)) #s(literal 1/24 binary64))))
✓	2.8%	(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
✓	19.2%	(sin.f64 y)
✓	24.4%	z
✓	8.0%	y
✓	43.3%	x

Compiler

Compiled 909 to 373 computations (59% saved)

regimes57.0ms (0.6%)

Memory

4.3MiB live, 82.0MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 y z)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y z)) z)
(fma.f64 y (.f64 #s(literal -1/2 binary64) (.f64 y z)) z)
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)
(.f64 y (.f64 y (.f64 (.f64 z (*.f64 y y)) #s(literal 1/24 binary64))))
(.f64 z (.f64 (.f64 y y) (.f64 y (*.f64 y #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 (.f64 y #s(literal 1/24 binary64))) (.f64 y (.f64 y z)) z)
(fma.f64 y (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y (*.f64 y z)) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 x z))))
(fma.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y (.f64 y z)) z)
(fma.f64 (.f64 (.f64 y (.f64 y z)) (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 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) z)
(+.f64 z (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) z)
(+.f64 x (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 z x) (*.f64 (cos.f64 y) x) x)
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 x (*.f64 z (/.f64 (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 (.f64 x (.f64 (cos.f64 y) z)) 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)))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal 1 binary64)))) (sin.f64 y))
(/.f64 (fma.f64 (.f64 z (.f64 x (cos.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))) x) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))
(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(fma.f64 x (/.f64 (+.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 (cos.f64 y) z) x) (fma.f64 (cos.f64 y) (/.f64 z x) #s(literal -1 binary64))))) (sin.f64 y))

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

Calls

4 calls:

15.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
14.0ms	y
13.0ms	x
13.0ms	z

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)

regimes45.0ms (0.5%)

Memory

-4.7MiB live, 71.2MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 y z)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y z)) z)
(fma.f64 y (.f64 #s(literal -1/2 binary64) (.f64 y z)) z)
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)
(.f64 y (.f64 y (.f64 (.f64 z (*.f64 y y)) #s(literal 1/24 binary64))))
(.f64 z (.f64 (.f64 y y) (.f64 y (*.f64 y #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 (.f64 y #s(literal 1/24 binary64))) (.f64 y (.f64 y z)) z)
(fma.f64 y (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y (*.f64 y z)) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 x z))))
(fma.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y (.f64 y z)) z)
(fma.f64 (.f64 (.f64 y (.f64 y z)) (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 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) z)
(+.f64 z (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) z)
(+.f64 x (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 z x) (*.f64 (cos.f64 y) x) x)
(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:

12.0ms	y
11.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
10.0ms	x
10.0ms	z

Results

Accuracy	Segments	Branch
95.8%	3	`x`
86.7%	2	`y`
99.9%	3	`z`
99.9%	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

-16.4MiB live, 46.2MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 y z)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y z)) z)
(fma.f64 y (.f64 #s(literal -1/2 binary64) (.f64 y z)) z)
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)
(.f64 y (.f64 y (.f64 (.f64 z (*.f64 y y)) #s(literal 1/24 binary64))))
(.f64 z (.f64 (.f64 y y) (.f64 y (*.f64 y #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 (.f64 y #s(literal 1/24 binary64))) (.f64 y (.f64 y z)) z)
(fma.f64 y (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y (*.f64 y z)) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 x z))))
(fma.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y (.f64 y z)) z)
(fma.f64 (.f64 (.f64 y (.f64 y z)) (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 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) z)
(+.f64 z (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(+.f64 (+.f64 x (sin.f64 y)) z)

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

Calls

3 calls:

23.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
9.0ms	x
9.0ms	z

Results

Accuracy	Segments	Branch
83.5%	1	`x`
91.1%	3	`z`
83.5%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes76.0ms (0.8%)

Memory

-6.8MiB live, 67.8MiB allocated

Counts

31 → 5

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 y z)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y z)) z)
(fma.f64 y (.f64 #s(literal -1/2 binary64) (.f64 y z)) z)
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)
(.f64 y (.f64 y (.f64 (.f64 z (*.f64 y y)) #s(literal 1/24 binary64))))
(.f64 z (.f64 (.f64 y y) (.f64 y (*.f64 y #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 (.f64 y #s(literal 1/24 binary64))) (.f64 y (.f64 y z)) z)
(fma.f64 y (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y (*.f64 y z)) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 x z))))
(fma.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y (.f64 y z)) z)
(fma.f64 (.f64 (.f64 y (.f64 y z)) (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 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) z)
(+.f64 z (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))

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

Calls

4 calls:

44.0ms	z
12.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
9.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
83.5%	5	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
75.7%	4	`x`
81.9%	3	`y`
88.1%	5	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes22.0ms (0.2%)

Memory

1.3MiB live, 38.6MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 y z)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y z)) z)
(fma.f64 y (.f64 #s(literal -1/2 binary64) (.f64 y z)) z)
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)
(.f64 y (.f64 y (.f64 (.f64 z (*.f64 y y)) #s(literal 1/24 binary64))))
(.f64 z (.f64 (.f64 y y) (.f64 y (*.f64 y #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 (.f64 y #s(literal 1/24 binary64))) (.f64 y (.f64 y z)) z)
(fma.f64 y (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y (*.f64 y z)) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 x z))))
(fma.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y (.f64 y z)) z)
(fma.f64 (.f64 (.f64 y (.f64 y z)) (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 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) z)
(+.f64 z (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)

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

Calls

2 calls:

12.0ms	y
8.0ms	z

Results

Accuracy	Segments	Branch
81.9%	3	`y`
80.5%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes30.0ms (0.3%)

Memory

-8.1MiB live, 37.4MiB allocated

Counts

29 → 5

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 y z)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y z)) z)
(fma.f64 y (.f64 #s(literal -1/2 binary64) (.f64 y z)) z)
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)
(.f64 y (.f64 y (.f64 (.f64 z (*.f64 y y)) #s(literal 1/24 binary64))))
(.f64 z (.f64 (.f64 y y) (.f64 y (*.f64 y #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 (.f64 y #s(literal 1/24 binary64))) (.f64 y (.f64 y z)) z)
(fma.f64 y (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y (*.f64 y z)) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 x z))))
(fma.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y (.f64 y z)) z)
(fma.f64 (.f64 (.f64 y (.f64 y z)) (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 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) z)
(+.f64 z (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) x))
(sin.f64 y)

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

Calls

3 calls:

12.0ms	z
8.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
8.0ms	y

Results

Accuracy	Segments	Branch
82.4%	5	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
65.3%	1	`z`
71.4%	3	`y`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes31.0ms (0.3%)

Memory

6.4MiB live, 43.3MiB allocated

Counts

28 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)
(+.f64 y z)
(+.f64 z x)
(+.f64 y (+.f64 z x))
(.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z)))
(fma.f64 #s(literal -1/2 binary64) (.f64 y (.f64 y z)) z)
(fma.f64 y (.f64 #s(literal -1/2 binary64) (.f64 y z)) z)
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
(+.f64 z (.f64 y (.f64 #s(literal -1/2 binary64) (*.f64 y z))))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)
(.f64 y (.f64 y (.f64 (.f64 z (*.f64 y y)) #s(literal 1/24 binary64))))
(.f64 z (.f64 (.f64 y y) (.f64 y (*.f64 y #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 (.f64 y #s(literal 1/24 binary64))) (.f64 y (.f64 y z)) z)
(fma.f64 y (.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (.f64 y (*.f64 y z)) z)
(.f64 z (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 x z))))
(fma.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/576 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal 1/2 binary64))) (.f64 y (.f64 y z)) z)
(fma.f64 (.f64 (.f64 y (.f64 y z)) (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 y (*.f64 y #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) z)
(+.f64 z (fma.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 z z) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) x))

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

Calls

3 calls:

14.0ms	y
8.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
8.0ms	x

Results

Accuracy	Segments	Branch
71.4%	3	`y`
70.8%	3	`x`
71.3%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes5.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
71.3%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

-16.9MiB live, 22.0MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
69.9%	3	`x`
69.0%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
65.3%	1	`y`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes10.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB 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:

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

Results

Accuracy	Segments	Branch
50.4%	4	`y`
52.7%	3	`z`
51.1%	4	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
59.8%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory

-32.8MiB live, 6.5MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)

Outputs
x
z
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
54.8%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
x
y

Outputs
x
y
x

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
43.3%	1	`y`
46.6%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
43.3%	1	`z`
47.7%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Memory

11.6MiB live, 11.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
43.3%	1	`y`
43.3%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
43.3%	1	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	314929.7906435166	2639290.3770786985
0.0ms	-1.7630257792527938e+20	-32570283450380857000.0

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch38.0ms (0.4%)

Memory

-16.8MiB live, 63.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.55269148020741e+131	1.3759771885891752e+135
21.0ms	-3.803899006162144e+106	-8.191453764967506e+97

Samples

27.0ms

272×

valid

Compiler

Compiled 321 to 235 computations (26.8% saved)

Precisions

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

ival-cos: 9.0ms (45.7% of total)

ival-sin: 7.0ms (35.5% of total)

ival-add: 2.0ms (10.1% of total)

ival-mult: 2.0ms (10.1% of total)

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

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

bsearch74.0ms (0.8%)

Memory

7.0MiB live, 125.6MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	8.55269148020741e+131	1.3759771885891752e+135
18.0ms	5.579031035447929e-76	7.2238579714748134e-71
16.0ms	-1.2841019073597578e-20	-6.081786159238357e-26
18.0ms	-3.803899006162144e+106	-8.191453764967506e+97

Samples

48.0ms

560×

valid

Compiler

Compiled 540 to 399 computations (26.1% saved)

Precisions

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

ival-sin: 14.0ms (41% of total)

ival-cos: 11.0ms (32.2% of total)

ival-add: 5.0ms (14.7% of total)

ival-mult: 4.0ms (11.7% of total)

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

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

bsearch41.0ms (0.4%)

Memory

-1.9MiB live, 75.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.7674022074934685e-15	3.629122962428671
23.0ms	-267767574912676.5	-50578990.9455719

Samples

27.0ms

304×

valid

Compiler

Compiled 452 to 318 computations (29.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-cos: 8.0ms (41.3% of total)

ival-sin: 7.0ms (36.1% of total)

ival-add: 3.0ms (15.5% of total)

ival-mult: 2.0ms (10.3% of total)

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

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

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9987833125390406	314929.7906435166
0.0ms	4.468997762981928e-5	0.010260016573489763
0.0ms	-0.17128961097844578	-5.76078575780989e-12
0.0ms	-480.86817463211435	-0.9808972727553338

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch42.0ms (0.4%)

Memory

-3.6MiB live, 33.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	8.840011794630594e-68	2.7376222593465072e-64
32.0ms	-727.4140258673003	-1.6144481600971452

Samples

32.0ms

224×

valid

Compiler

Compiled 323 to 224 computations (30.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-cos: 18.0ms (67.1% of total)

ival-sin: 5.0ms (18.6% of total)

ival-add: 2.0ms (7.5% of total)

ival-mult: 1.0ms (3.7% of total)

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

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

bsearch30.0ms (0.3%)

Memory

23.6MiB live, 23.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	8.850912381104372e+90	1.3292564483238689e+93
13.0ms	-5.557524536018935e+27	-5.19738831367483e+26

Samples

22.0ms

208×

valid

Compiler

Compiled 223 to 157 computations (29.6% saved)

Precisions

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

ival-sin: 7.0ms (42.7% of total)

ival-cos: 6.0ms (36.6% of total)

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

ival-mult: 1.0ms (6.1% of total)

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

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

bsearch44.0ms (0.5%)

Memory

-14.4MiB live, 32.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.5461124459073705e-171	5.670075967112853e-171
33.0ms	-3.7091699958047695e-70	-5.692744553098863e-72

Samples

16.0ms

192×

valid

Compiler

Compiled 183 to 134 computations (26.8% saved)

Precisions

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

ival-sin: 4.0ms (37.7% of total)

ival-cos: 3.0ms (28.3% of total)

ival-add: 2.0ms (18.9% of total)

ival-mult: 1.0ms (9.4% of total)

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

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

bsearch15.0ms (0.2%)

Memory

-16.0MiB live, 21.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	5.2806325520901814e-64	5.551663203598564e-64
13.0ms	-6.25210161447569e-62	-3.6786098785535396e-62

Samples

12.0ms	79×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 75 to 59 computations (21.3% saved)

Precisions

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

ival-cos: 6.0ms (61.5% of total)

ival-sin: 2.0ms (20.5% of total)

ival-add: 1.0ms (10.2% of total)

ival-mult: 1.0ms (10.2% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch10.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	5.2806325520901814e-64	5.551663203598564e-64
7.0ms	-6.25210161447569e-62	-3.6786098785535396e-62

Samples

7.0ms

80×

valid

Compiler

Compiled 65 to 54 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 2.0ms (43.8% of total)

ival-sin: 2.0ms (43.8% of total)

ival-add: 1.0ms (21.9% of total)

ival-mult: 1.0ms (21.9% of total)

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

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

bsearch258.0ms (2.8%)

Memory

13.6MiB live, 51.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.5461124459073705e-171	5.670075967112853e-171
247.0ms	-1.0794533837747451e-113	-3.3509624435139322e-118

Samples

250.0ms

208×

valid

Compiler

Compiled 145 to 118 computations (18.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 244.0ms

ival-sin: 237.0ms (96.9% of total)

ival-cos: 4.0ms (1.6% of total)

ival-add: 2.0ms (0.8% of total)

ival-mult: 1.0ms (0.4% of total)

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

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

simplify14.0ms (0.2%)

Memory

-8.1MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	277
1	137	277

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 -100000000000000000000 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 500000 binary64)) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -360000000000000000689643030864480745037743845815469124015009265255776556713435952146045012238944916471808 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 35999999999999997778568129058070954103323993792475994187599835172294649398443503499442900591649387185420900879853928619381477106253824 binary64)) (+.f64 (+.f64 x (sin.f64 y)) z) (.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -1599999999999999996304592392229932811145800767878461422728909823457561384770074823646590919658962944 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -8081706214372289/21267647932558653966460912964485513216 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 279744320480505/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 350000000000000002779453532678407637556727192715699017566552648391932096611100470115714736162865562564329259354047671356353766313951232 binary64)) (+.f64 z x) (.f64 z (cos.f64 y))))))
(if (<=.f64 y #s(literal -52000000 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 3602879701896397/144115188075855872 binary64)) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 (sin.f64 y) x)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -400 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 7378697629483821/147573952589676412928 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 -5291729562160333/1125899906842624 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 7410693711188237/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 z x)))
(if (<=.f64 y #s(literal -2050000000000000123446755328 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 8999999999999999811435226584991697541757714881127914539776040775822231118719209958906265600 binary64)) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (<=.f64 x #s(literal -5768949542353525/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (+.f64 z x) (if (<=.f64 x #s(literal 7831948386878921/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) (+.f64 y z) (+.f64 z x)))
(if (<=.f64 x #s(literal -1736881338559743/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) x (if (<=.f64 x #s(literal 2037940770576765/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (+.f64 y z) x))
(if (<=.f64 x #s(literal -6368564908052391/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) x (if (<=.f64 x #s(literal 2037940770576765/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) z x))
(if (<=.f64 x #s(literal -2772669694120815/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) x (if (<=.f64 x #s(literal 5438853046443695/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 binary64)) y x))
x

Outputs
(+.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 -100000000000000000000 binary64)) (+.f64 x (.f64 z (cos.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 500000 binary64)) (+.f64 (+.f64 x (sin.f64 y)) z) (+.f64 x (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -360000000000000000689643030864480745037743845815469124015009265255776556713435952146045012238944916471808 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal 35999999999999997778568129058070954103323993792475994187599835172294649398443503499442900591649387185420900879853928619381477106253824 binary64)) (+.f64 (+.f64 x (sin.f64 y)) z) (.f64 z (cos.f64 y))))
(if (<=.f64 z #s(literal -1599999999999999996304592392229932811145800767878461422728909823457561384770074823646590919658962944 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -8081706214372289/21267647932558653966460912964485513216 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 279744320480505/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 350000000000000002779453532678407637556727192715699017566552648391932096611100470115714736162865562564329259354047671356353766313951232 binary64)) (+.f64 z x) (.f64 z (cos.f64 y))))))
(if (<=.f64 z #s(literal -1599999999999999996304592392229932811145800767878461422728909823457561384770074823646590919658962944 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -8081706214372289/21267647932558653966460912964485513216 binary64)) (+.f64 x z) (if (<=.f64 z #s(literal 279744320480505/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 z #s(literal 350000000000000002779453532678407637556727192715699017566552648391932096611100470115714736162865562564329259354047671356353766313951232 binary64)) (+.f64 x z) (.f64 z (cos.f64 y))))))
(if (<=.f64 y #s(literal -52000000 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 3602879701896397/144115188075855872 binary64)) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 (sin.f64 y) x)))
(if (<=.f64 y #s(literal -52000000 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 3602879701896397/144115188075855872 binary64)) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 x (sin.f64 y))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -400 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 7378697629483821/147573952589676412928 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 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -400 binary64)) (+.f64 x z) (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 7378697629483821/147573952589676412928 binary64)) (+.f64 y (+.f64 x z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1 binary64)) (sin.f64 y) (+.f64 x z)))))
(if (<=.f64 y #s(literal -5291729562160333/1125899906842624 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 7410693711188237/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 z x)))
(if (<=.f64 y #s(literal -5291729562160333/1125899906842624 binary64)) (+.f64 x z) (if (<=.f64 y #s(literal 7410693711188237/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 x z)))
(if (<=.f64 y #s(literal -2050000000000000123446755328 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 8999999999999999811435226584991697541757714881127914539776040775822231118719209958906265600 binary64)) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (<=.f64 y #s(literal -2050000000000000123446755328 binary64)) (+.f64 x z) (if (<=.f64 y #s(literal 8999999999999999811435226584991697541757714881127914539776040775822231118719209958906265600 binary64)) (+.f64 y (+.f64 x z)) (+.f64 x z)))
(if (<=.f64 x #s(literal -5768949542353525/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (+.f64 z x) (if (<=.f64 x #s(literal 7831948386878921/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) (+.f64 y z) (+.f64 z x)))
(if (<=.f64 x #s(literal -5768949542353525/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (+.f64 x z) (if (<=.f64 x #s(literal 7831948386878921/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) (+.f64 y z) (+.f64 x z)))
(if (<=.f64 x #s(literal -1736881338559743/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) x (if (<=.f64 x #s(literal 2037940770576765/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (+.f64 y z) x))
(if (<=.f64 x #s(literal -6368564908052391/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) x (if (<=.f64 x #s(literal 2037940770576765/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) z x))
(if (<=.f64 x #s(literal -2772669694120815/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) x (if (<=.f64 x #s(literal 5438853046443695/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 binary64)) y x))
x

soundness1.2s (12.3%)

Memory

-9.2MiB live, 777.2MiB allocated

Rules

14 862×	`accelerator-lowering-fma.f32`
14 862×	`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	147	1908
1	437	1880
2	1222	1850
3	3640	1818
4	7106	1818
0	8109	1674
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 515 to 243 computations (52.8% saved)

preprocess119.0ms (1.3%)

Memory: 15.7MiB live, 213.9MiB allocated
Compiler: Compiled 618 to 204 computations (67% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.6s (17.3%)

preprocess74.0ms (0.8%)

explain114.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize33.0ms (0.4%)

series7.0ms (0.1%)

rewrite280.0ms (3%)

simplify375.0ms (4%)

eval70.0ms (0.7%)

prune37.0ms (0.4%)

simplify16.0ms (0.2%)

localize103.0ms (1.1%)

series47.0ms (0.5%)

rewrite536.0ms (5.7%)

simplify472.0ms (5%)

eval176.0ms (1.9%)

prune130.0ms (1.4%)

simplify551.0ms (5.9%)

localize81.0ms (0.9%)

series23.0ms (0.2%)

rewrite440.0ms (4.7%)

simplify378.0ms (4%)

eval98.0ms (1%)

prune84.0ms (0.9%)

simplify300.0ms (3.2%)

localize95.0ms (1%)

series7.0ms (0.1%)

rewrite382.0ms (4.1%)

simplify427.0ms (4.6%)

eval125.0ms (1.3%)

prune94.0ms (1%)

regimes57.0ms (0.6%)

regimes45.0ms (0.5%)

regimes43.0ms (0.5%)

regimes76.0ms (0.8%)

regimes22.0ms (0.2%)

regimes30.0ms (0.3%)

regimes31.0ms (0.3%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch38.0ms (0.4%)

bsearch74.0ms (0.8%)

bsearch41.0ms (0.4%)

bsearch1.0ms (0%)

bsearch42.0ms (0.4%)

bsearch30.0ms (0.3%)

bsearch44.0ms (0.5%)

bsearch15.0ms (0.2%)

bsearch10.0ms (0.1%)

bsearch258.0ms (2.8%)

simplify14.0ms (0.2%)

soundness1.2s (12.3%)

preprocess119.0ms (1.3%)

end0.0ms (0%)

Profiling