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

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample1.1s (10.4%)

Memory

-10.6MiB live, 1 899.6MiB allocated

Samples

939.0ms	8 252×	0	valid
0.0ms	2×	2	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 592.0ms

ival-sin: 285.0ms (48.1% of total)

ival-cos: 166.0ms (28% of total)

ival-add: 74.0ms (12.5% of total)

ival-mult: 58.0ms (9.8% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess75.0ms (0.7%)

Memory

-1.2MiB live, 43.2MiB 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)))

explain184.0ms (1.7%)

Memory

8.1MiB live, 201.5MiB 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

109.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

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

ival-add: 28.0ms (51.5% of total)

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

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

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

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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

7.8MiB live, 7.8MiB 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)

localize85.0ms (0.8%)

Memory

-6.6MiB live, 66.1MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

77.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sin: 29.0ms (75.5% of total)

ival-cos: 5.0ms (13% of total)

ival-add: 2.0ms (5.2% of total)

ival-mult: 2.0ms (5.2% of total)

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

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

series6.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite727.0ms (6.6%)

Memory

-25.7MiB live, 452.9MiB 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	19
1	38	19
2	357	19
3	5535	19
0	8305	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 171

Calls

Call 1

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

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

simplify437.0ms (4%)

Memory

19.2MiB live, 620.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

Outputs
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x z)
(+.f64 z x)
(+ x (+ y z))
(+.f64 y (+.f64 z x))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(+ x (+ (sin y) (* z (cos y))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))
(sin y)
(sin.f64 y)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
x
(* x (+ 1 (/ (sin y) x)))
(+.f64 (sin.f64 y) x)
(* x (+ 1 (/ (sin y) x)))
(+.f64 (sin.f64 y) x)
(* x (+ 1 (/ (sin y) x)))
(+.f64 (sin.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 (sin.f64 y) x)
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(+.f64 (sin.f64 y) x)
x
(+ x y)
(+.f64 y x)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(fma.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
(+ x (sin y))
(+.f64 (sin.f64 y) x)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(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))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
z
(+ z (* -1/2 (* (pow y 2) z)))
(.f64 z (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(.f64 z (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (.f64 y (.f64 y z)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) z)
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
(* z (cos y))
(fma.f64 z (cos.f64 y) #s(literal 0 binary64))

eval56.0ms (0.5%)

Memory: -9.6MiB live, 68.1MiB allocated
Compiler: Compiled 6 555 to 592 computations (91% saved)

prune40.0ms (0.4%)

Memory

21.6MiB live, 99.4MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

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

Accuracy

100.0%

Counts

268 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.1%	(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)
▶	99.9%	(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
	49.3%	(fma.f64 z (cos.f64 y) (sin.f64 y))
▶	32.5%	(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
	53.2%	(/.f64 (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 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
	30.9%	(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64))) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (fma.f64 (.f64 z z) (+.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)))))
	68.6%	(+.f64 (sin.f64 y) x)
	67.3%	(+.f64 z x)
▶	56.3%	(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
	64.0%	(+.f64 y (+.f64 z x))
	53.8%	(+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z))
	82.5%	(+.f64 x (*.f64 z (cos.f64 y)))
	99.7%	(.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
▶	51.4%	x

Compiler

Compiled 474 to 274 computations (42.2% saved)

simplify381.0ms (3.5%)

Memory

-24.6MiB live, 795.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	192	(-.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)))))))
✓	cost-diff	192	(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)
✓	cost-diff	6592	(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))))))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
✓	cost-diff	-64	(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
✓	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(+.f64 x (sin.f64 y))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))

Rules

17 036×	`accelerator-lowering-fma.f32`
17 036×	`accelerator-lowering-fma.f64`
3 538×	`-lowering-.f32`
3 538×	`-lowering-.f64`
1 774×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	207
1	84	205
2	228	202
3	672	196
4	1789	196
5	4448	196
0	8134	180

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (cos y) z) (+ x (sin y)))
(cos y)
y
z
(+ x (sin y))
x
(sin y)
x
(+ y (+ (* z (+ (* y (* y -1/2)) 1)) x))
y
(+ (* z (+ (* y (* y -1/2)) 1)) x)
z
(+ (* y (* y -1/2)) 1)
(* y -1/2)
-1/2
1
x
(+ (* z (cos y)) 0)
z
(cos y)
y
0
(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x)
(- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))
1/2
(+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))
(cos (+ y y))
(+ y y)
y
(* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))
(* z z)
z
(+ 1/2 (* 1/2 (cos (+ y y))))
(* 1/2 (cos (+ y y)))
(/ 1 (- (sin y) (* z (cos y))))
1
(- (sin y) (* z (cos y)))
(sin y)
(* z (cos y))
(cos y)
x

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

localize149.0ms (1.4%)

Memory

1.4MiB live, 243.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(cos.f64 (+.f64 y y))
✓	accuracy	99.5%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	81.6%	(-.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)))))))
✓	accuracy	79.4%	(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)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(fma.f64 z (cos.f64 y) #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	92.7%	(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(+.f64 x (sin.f64 y))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))

Samples

60.0ms	188×	0	valid
27.0ms	54×	1	valid
10.0ms	14×	2	valid

Compiler

Compiled 200 to 34 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-cos: 25.0ms (33.9% of total)

ival-mult: 19.0ms (25.8% of total)

ival-add: 13.0ms (17.7% of total)

ival-sin: 6.0ms (8.1% of total)

adjust: 4.0ms (5.4% of total)

ival-sub: 3.0ms (4.1% of total)

ival-div: 2.0ms (2.7% of total)

exact: 1.0ms (1.4% of total)

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

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

series40.0ms (0.4%)

Memory

-13.1MiB live, 62.7MiB allocated

Counts

14 → 312

Calls

Call 1

Inputs
#<alt (+ (* (cos y) z) (+ x (sin y)))>
#<alt (cos y)>
#<alt (+ x (sin y))>
#<alt (sin y)>
#<alt (+ (* z (+ (* y (* y -1/2)) 1)) x)>
#<alt (+ (* y (* y -1/2)) 1)>
#<alt (* y -1/2)>
#<alt (+ y (+ (* z (+ (* y (* y -1/2)) 1)) x))>
#<alt (+ (* z (cos y)) 0)>
#<alt (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))>
#<alt (+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x)>
#<alt (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))>
#<alt (+ 1/2 (* 1/2 (cos (+ y y))))>
#<alt (cos (+ y y))>

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

Calls

78 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x)
4.0ms	y	@	0	(+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))
4.0ms	y	@	0	(- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))
2.0ms	y	@	inf	(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x)
2.0ms	z	@	inf	(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x)

rewrite193.0ms (1.8%)

Memory

-8.9MiB live, 232.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 648×	`accelerator-lowering-fma.f32`
1 648×	`accelerator-lowering-fma.f64`
1 176×	`-lowering-.f32`
1 176×	`-lowering-.f64`
832×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	116
1	228	92
0	2354	84

Stop Event

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

Counts

14 → 328

Calls

Call 1

Inputs
(+ (* (cos y) z) (+ x (sin y)))
(cos y)
(+ x (sin y))
(sin y)
(+ (* z (+ (* y (* y -1/2)) 1)) x)
(+ (* y (* y -1/2)) 1)
(* y -1/2)
(+ y (+ (* z (+ (* y (* y -1/2)) 1)) x))
(+ (* z (cos y)) 0)
(+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))
(+ (* (- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))) (/ 1 (- (sin y) (* z (cos y))))) x)
(- 1/2 (+ (* 1/2 (cos (+ y y))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))
(+ 1/2 (* 1/2 (cos (+ y y))))
(cos (+ y y))

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

simplify583.0ms (5.3%)

Memory

-3.4MiB live, 480.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 474×	`accelerator-lowering-fma.f32`
8 474×	`accelerator-lowering-fma.f64`
5 218×	`-lowering-.f32`
5 218×	`-lowering-.f64`
3 948×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	520	4889
1	1654	4812
2	5441	4758
0	8348	4385

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

Outputs
(+ x z)
(+.f64 x z)
(+ x (+ y z))
(+.f64 x (+.f64 z y))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+.f64 x (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) y))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.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)))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z))))
(*.f64 z (+.f64 (cos.f64 y) (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z))))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
(+ (sin y) (* z (cos y)))
(fma.f64 z (cos.f64 y) (sin.f64 y))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
(+ x (+ (sin y) (* z (cos y))))
(+.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)) (-.f64 #s(literal 0 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 y (*.f64 y #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(sin y)
(sin.f64 y)
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
x
(* x (+ 1 (/ (sin y) x)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(* x (+ 1 (/ (sin y) x)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
(* x (+ 1 (/ (sin y) x)))
(fma.f64 x (/.f64 (sin.f64 y) x) x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (-.f64 #s(literal 0 binary64) x))
x
(+ x y)
(+.f64 x y)
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(fma.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
(+ x (sin y))
(+.f64 x (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
x
(+ x (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(+ x (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(+ x (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(* z (+ 1 (* -1/2 (pow y 2))))
(.f64 z (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ x z))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)) z)
(* z (+ 1 (* -1/2 (pow y 2))))
(.f64 z (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ x z)))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)) z)
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ x z)))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)) z)
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (* -1 (/ x z)))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) (/.f64 x z)) z)
(+ x z)
(+.f64 x z)
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(* -1/2 (* (pow y 2) z))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(.f64 (.f64 y y) (+.f64 (/.f64 z (.f64 y y)) (fma.f64 z #s(literal -1/2 binary64) (/.f64 x (.f64 y y)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(.f64 (.f64 y y) (+.f64 (/.f64 z (.f64 y y)) (fma.f64 z #s(literal -1/2 binary64) (/.f64 x (.f64 y y)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(.f64 (.f64 y y) (+.f64 (/.f64 z (.f64 y y)) (fma.f64 z #s(literal -1/2 binary64) (/.f64 x (.f64 y y)))))
(* -1/2 (* (pow y 2) z))
(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(.f64 (.f64 y y) (+.f64 (/.f64 z (.f64 y y)) (fma.f64 z #s(literal -1/2 binary64) (/.f64 x (.f64 y y)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(.f64 (.f64 y y) (+.f64 (/.f64 z (.f64 y y)) (fma.f64 z #s(literal -1/2 binary64) (/.f64 x (.f64 y y)))))
(* (pow y 2) (+ (* -1/2 z) (+ (/ x (pow y 2)) (/ z (pow y 2)))))
(.f64 (.f64 y y) (+.f64 (/.f64 z (.f64 y y)) (fma.f64 z #s(literal -1/2 binary64) (/.f64 x (.f64 y y)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(.f64 z (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ x (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(+ x (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(+ x (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
x
(* x (+ 1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))
(.f64 x (fma.f64 z (/.f64 (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(* x (+ 1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))
(.f64 x (fma.f64 z (/.f64 (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(* x (+ 1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)))
(.f64 x (fma.f64 z (/.f64 (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)) 1)))
(.f64 x (fma.f64 z (/.f64 (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)) 1)))
(.f64 x (fma.f64 z (/.f64 (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)) 1)))
(.f64 x (fma.f64 z (/.f64 (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
1
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(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (neg (* -2 y)))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (neg (* -2 y)))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (neg (* -2 y)))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (neg (* -2 y)))
(cos.f64 (*.f64 y #s(literal -2 binary64)))

eval165.0ms (1.5%)

Memory: 11.5MiB live, 122.2MiB allocated
Compiler: Compiled 18 352 to 1 456 computations (92.1% saved)

prune131.0ms (1.2%)

Memory

28.8MiB live, 112.7MiB allocated

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	690	16	706
Fresh	3	6	9
Picked	4	1	5
Done	0	0	0
Total	697	23	720

Accuracy

100.0%

Counts

720 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.9%	(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
▶	99.9%	(fma.f64 (cos.f64 y) z (fma.f64 x (/.f64 (sin.f64 y) x) x))
	49.3%	(fma.f64 (cos.f64 y) z (sin.f64 y))
	82.6%	(fma.f64 (cos.f64 y) z x)
	16.9%	(fma.f64 z (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
	53.8%	(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 x z))
	91.1%	(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
	53.2%	(/.f64 (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 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
	30.9%	(/.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64))) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (fma.f64 (.f64 z z) (+.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)))))
	68.6%	(+.f64 (sin.f64 y) x)
	67.3%	(+.f64 z x)
	64.0%	(+.f64 y (+.f64 z x))
	48.7%	(+.f64 y x)
	99.7%	(.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
	32.5%	(*.f64 (cos.f64 y) z)
	16.6%	(.f64 z (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	31.9%	(.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
▶	45.5%	(.f64 z (+.f64 (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x y) z)))
▶	86.7%	(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
	2.6%	(.f64 z (.f64 y (*.f64 y #s(literal -1/2 binary64))))
▶	7.6%	(.f64 y (fma.f64 z (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
▶	18.3%	z
✓	51.4%	x

Compiler

Compiled 656 to 395 computations (39.8% saved)

simplify381.0ms (3.5%)

Memory

-16.6MiB live, 223.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 x (sin.f64 y)) z)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z))
✓	cost-diff	832	(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
✓	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x y) z))
✓	cost-diff	832	(.f64 z (+.f64 (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x y) z)))
✓	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 y (fma.f64 z (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 (sin.f64 y) x)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 (cos.f64 y) z (fma.f64 x (/.f64 (sin.f64 y) x) x))
✓	cost-diff	896	(fma.f64 x (/.f64 (sin.f64 y) x) x)

Rules

9 568×	`accelerator-lowering-fma.f32`
9 568×	`accelerator-lowering-fma.f64`
3 668×	`-lowering-.f32`
3 668×	`-lowering-.f64`
2 872×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	150
1	71	150
2	138	150
3	222	142
4	343	132
5	410	132
6	660	132
7	1869	132
8	4445	132
9	6833	132
0	8031	124

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize169.0ms (1.5%)

Memory

9.5MiB live, 88.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x (sin.f64 y))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(/.f64 (+.f64 x (sin.f64 y)) z)
✓	accuracy	86.7%	(*.f64 z (+.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 x y) z)
✓	accuracy	94.8%	(+.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x y) z))
✓	accuracy	81.7%	(.f64 z (+.f64 (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x y) z)))
✓	accuracy	100.0%	(fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	99.9%	(.f64 y (fma.f64 z (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) z (fma.f64 x (/.f64 (sin.f64 y) x) x))
✓	accuracy	99.9%	(fma.f64 x (/.f64 (sin.f64 y) x) x)
✓	accuracy	99.9%	(/.f64 (sin.f64 y) x)

Samples

103.0ms

256×

valid

Compiler

Compiled 138 to 28 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-add: 57.0ms (66.1% of total)

ival-mult: 12.0ms (13.9% of total)

ival-cos: 6.0ms (7% of total)

ival-div: 5.0ms (5.8% of total)

ival-sin: 5.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series62.0ms (0.6%)

Memory

-26.3MiB live, 11.5MiB allocated

Counts

16 → 420

Calls

Call 1

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

Calls

105 calls:

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

rewrite757.0ms (6.9%)

Memory

33.1MiB live, 670.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 980×	`-lowering-.f32`
5 980×	`-lowering-.f64`
5 606×	`accelerator-lowering-fma.f32`
5 606×	`accelerator-lowering-fma.f64`
4 632×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	118
1	179	118
2	1748	114
0	9402	104

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 735

Calls

Call 1

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

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

simplify455.0ms (4.1%)

Memory

-15.0MiB live, 902.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 328×	`accelerator-lowering-fma.f32`
10 328×	`accelerator-lowering-fma.f64`
4 214×	`-lowering-.f32`
4 214×	`-lowering-.f64`
2 570×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	3618
1	852	3610
2	2469	3379
3	6945	3356
0	8107	3101

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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

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)))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) x)
(* x (+ 1 (/ (sin y) x)))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) x)
(* x (+ 1 (/ (sin y) x)))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
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(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z))
(* x (+ (/ 1 z) (/ (sin y) (* x z))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z))
(* x (+ (/ 1 z) (/ (sin y) (* x z))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z))
(/ x z)
(/.f64 x z)
(* -1 (* x (- (* -1 (/ (sin y) (* x z))) (/ 1 z))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z))
(* -1 (* x (- (* -1 (/ (sin y) (* x z))) (/ 1 z))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z))
(* -1 (* x (- (* -1 (/ (sin y) (* x z))) (/ 1 z))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z))
(/ x z)
(/.f64 x z)
(+ (/ x z) (/ y z))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(+ (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) (/ x z))
(-.f64 (/.f64 (.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y))) z) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(+ (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) (/ x z))
(fma.f64 (fma.f64 (.f64 y y) (/.f64 #s(literal 1/120 binary64) z) (/.f64 #s(literal -1/6 binary64) z)) (.f64 y (*.f64 y y)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z))))
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
(/ (+ x (sin y)) z)
(/.f64 (+.f64 (sin.f64 y) x) z)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(.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)))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(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)
(/ y z)
(/.f64 y z)
(+ (/ x z) (/ y z))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(+ (/ x z) (/ y z))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(+ (/ x z) (/ y z))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(/ x z)
(/.f64 x z)
(* x (+ (/ 1 z) (/ y (* x z))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(* x (+ (/ 1 z) (/ y (* x z))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(* x (+ (/ 1 z) (/ y (* x z))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(/ x z)
(/.f64 x z)
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(/ x z)
(/.f64 x z)
(+ (/ x z) (/ y z))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(+ (/ x z) (/ y z))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(+ (/ x z) (/ y z))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(/ y z)
(/.f64 y z)
(* y (+ (/ 1 z) (/ x (* y z))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(* y (+ (/ 1 z) (/ x (* y z))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(* y (+ (/ 1 z) (/ x (* y z))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
(/ (+ x y) z)
(/.f64 (+.f64 y x) z)
(/ (+ x y) z)
(/.f64 (+.f64 y x) z)
(/ (+ x y) z)
(/.f64 (+.f64 y x) z)
(/ (+ x y) z)
(/.f64 (+.f64 y x) z)
(/ (+ x y) z)
(/.f64 (+.f64 y x) z)
(/ (+ x y) z)
(/.f64 (+.f64 y x) z)
(/ (+ x y) z)
(/.f64 (+.f64 y x) z)
(/ (+ x y) z)
(/.f64 (+.f64 y x) z)
(/ (+ x y) z)
(/.f64 (+.f64 y x) z)
(/ (+ x y) z)
(/.f64 (+.f64 y x) z)
(/ (+ x y) z)
(/.f64 (+.f64 y x) z)
(/ (+ x y) z)
(/.f64 (+.f64 y x) z)
(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)))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) x)
(* x (+ 1 (/ (sin y) x)))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) x)
(* x (+ 1 (/ (sin y) x)))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) x)
x
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(* -1 (* x (- (* -1 (/ (sin y) x)) 1)))
(-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
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)

eval348.0ms (3.2%)

Memory: 26.3MiB live, 460.8MiB allocated
Compiler: Compiled 34 025 to 2 926 computations (91.4% saved)

prune148.0ms (1.3%)

Memory

-2.0MiB live, 485.3MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	1 181	14	1 195
Fresh	3	14	17
Picked	3	2	5
Done	0	1	1
Total	1 187	31	1 218

Accuracy

100.0%

Counts

1 218 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.5%	(fma.f64 (.f64 z (+.f64 x y)) (/.f64 #s(literal 1 binary64) z) (.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	16.9%	(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
	91.1%	(fma.f64 (sin.f64 y) #s(literal 1 binary64) (*.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) x))
	98.4%	(fma.f64 (cos.f64 y) z (fma.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) x) x))
	49.3%	(fma.f64 (cos.f64 y) z (sin.f64 y))
	82.6%	(fma.f64 (cos.f64 y) z x)
	16.9%	(fma.f64 z (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
▶	53.8%	(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 x z))
	84.6%	(fma.f64 #s(literal 1 binary64) z (fma.f64 x (/.f64 (sin.f64 y) x) x))
	53.2%	(/.f64 (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 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
	6.4%	(/.f64 (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) (.f64 y z)) #s(literal 1 binary64)) (.f64 y (*.f64 #s(literal -1/2 binary64) z))))
	57.4%	(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (pow.f64 (/.f64 (+.f64 x (sin.f64 y)) z) #s(literal 2 binary64))) z) (-.f64 (cos.f64 y) (/.f64 (+.f64 x (sin.f64 y)) z)))
	68.6%	(+.f64 (sin.f64 y) x)
	67.3%	(+.f64 z x)
	64.0%	(+.f64 y (+.f64 z x))
	48.7%	(+.f64 y x)
▶	99.7%	(.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
	32.5%	(*.f64 (cos.f64 y) z)
	16.6%	(.f64 z (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	31.9%	(.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) (cos.f64 y)) (/.f64 #s(literal 1/2 binary64) (cos.f64 y))))
▶	44.5%	(.f64 z (-.f64 (fma.f64 (.f64 y y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z))))
	30.6%	(.f64 z (+.f64 (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 z (-.f64 x y)))))
	49.3%	(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
▶	69.3%	(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
	7.6%	(.f64 z (.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) z))))
✓	7.6%	(.f64 y (fma.f64 z (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	7.2%	(.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) (*.f64 y z)) #s(literal -1 binary64)))))
	2.6%	(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
✓	18.3%	z
▶	8.0%	y
✓	51.4%	x

Compiler

Compiled 921 to 566 computations (38.5% saved)

simplify448.0ms (4.1%)

Memory

-22.0MiB live, 1 012.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(+.f64 (cos.f64 y) (/.f64 x z))
✓	cost-diff	832	(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 (*.f64 y y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	192	(-.f64 (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
✓	cost-diff	832	(.f64 z (-.f64 (fma.f64 (.f64 y y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z))))
✓	cost-diff	0	(*.f64 y #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))
✓	cost-diff	0	(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 x z))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x))
✓	cost-diff	320	(.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))
✓	cost-diff	28160	(.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))

Rules

15 322×	`accelerator-lowering-fma.f32`
15 322×	`accelerator-lowering-fma.f64`
5 254×	`-lowering-.f32`
5 254×	`-lowering-.f64`
2 754×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	222
1	113	216
2	318	216
3	1040	216
4	5345	214
0	8405	196

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ (sin y) (+ (* z (cos y)) x)) (* (- (+ x (sin y)) (* z (cos y))) (/ 1 (- (+ x (sin y)) (* z (cos y))))))
(+ (sin y) (+ (* z (cos y)) x))
(sin y)
y
(+ (* z (cos y)) x)
z
(cos y)
x
(* (- (+ x (sin y)) (* z (cos y))) (/ 1 (- (+ x (sin y)) (* z (cos y)))))
(- (+ x (sin y)) (* z (cos y)))
(+ x (sin y))
(* z (cos y))
(/ 1 (- (+ x (sin y)) (* z (cos y))))
1
y
(+ (* y (+ (* y (+ (* z -1/2) (* y -1/6))) 1)) (+ x z))
y
(+ (* y (+ (* z -1/2) (* y -1/6))) 1)
(+ (* z -1/2) (* y -1/6))
z
-1/2
(* y -1/6)
-1/6
1
(+ x z)
x
(* z (- (+ (* (* y y) (+ (* y (/ -1/6 z)) -1/2)) 1) (- 0 (/ (+ y x) z))))
z
(- (+ (* (* y y) (+ (* y (/ -1/6 z)) -1/2)) 1) (- 0 (/ (+ y x) z)))
(+ (* (* y y) (+ (* y (/ -1/6 z)) -1/2)) 1)
(* y y)
y
(+ (* y (/ -1/6 z)) -1/2)
(/ -1/6 z)
-1/6
-1/2
1
(- 0 (/ (+ y x) z))
0
(/ (+ y x) z)
(+ y x)
x
(* z (+ (cos y) (/ x z)))
z
(+ (cos y) (/ x z))
(cos y)
y
(/ x z)
x

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

localize150.0ms (1.4%)

Memory

-5.3MiB live, 316.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(+.f64 (cos.f64 y) (/.f64 x z))
✓	accuracy	86.7%	(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
✓	accuracy	99.8%	(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal -1/6 binary64) z)
✓	accuracy	89.7%	(.f64 z (-.f64 (fma.f64 (.f64 y y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z))))
✓	accuracy	88.5%	(-.f64 (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z)))
✓	accuracy	100.0%	(fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64)))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) (+.f64 x z))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	99.9%	(fma.f64 z (cos.f64 y) x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	99.7%	(.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))

Samples

88.0ms

256×

valid

Compiler

Compiled 251 to 41 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 21.0ms (32.3% of total)

ival-add: 17.0ms (26.1% of total)

ival-div: 7.0ms (10.8% of total)

ival-sin: 7.0ms (10.8% of total)

ival-cos: 6.0ms (9.2% of total)

const: 4.0ms (6.1% of total)

ival-sub: 3.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series66.0ms (0.6%)

Memory

23.0MiB live, 60.7MiB allocated

Counts

21 → 564

Calls

Call 1

Inputs
#<alt (* (- (+ x (sin y)) (* z (cos y))) (/ 1 (- (+ x (sin y)) (* z (cos y)))))>
#<alt (* (+ (sin y) (+ (* z (cos y)) x)) (* (- (+ x (sin y)) (* z (cos y))) (/ 1 (- (+ x (sin y)) (* z (cos y))))))>
#<alt (+ (sin y) (+ (* z (cos y)) x))>
#<alt (sin y)>
#<alt (+ (* y (+ (* y (+ (* z -1/2) (* y -1/6))) 1)) (+ x z))>
#<alt (+ (* y (+ (* z -1/2) (* y -1/6))) 1)>
#<alt (+ (* z -1/2) (* y -1/6))>
#<alt (* y -1/6)>
#<alt (* z (- (+ (* (* y y) (+ (* y (/ -1/6 z)) -1/2)) 1) (- 0 (/ (+ y x) z))))>
#<alt (- (+ (* (* y y) (+ (* y (/ -1/6 z)) -1/2)) 1) (- 0 (/ (+ y x) z)))>
#<alt (+ (* (* y y) (+ (* y (/ -1/6 z)) -1/2)) 1)>
#<alt (* y y)>
#<alt (* z (+ (cos y) (/ x z)))>
#<alt (+ (cos y) (/ x z))>
#<alt (cos y)>
#<alt (/ x z)>
#<alt (* z (cos y))>
#<alt (/ 1 (- (+ x (sin y)) (* z (cos y))))>
#<alt (+ (* z (cos y)) x)>
#<alt (/ -1/6 z)>
#<alt (+ (* y (/ -1/6 z)) -1/2)>

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

Calls

141 calls:

Time	Variable		Point	Expression
36.0ms	x	@	0	(/ 1 (- (+ x (sin y)) (* z (cos y))))
2.0ms	y	@	0	(/ 1 (- (+ x (sin y)) (* z (cos y))))
1.0ms	z	@	-inf	(* z (- (+ (* (* y y) (+ (* y (/ -1/6 z)) -1/2)) 1) (- 0 (/ (+ y x) z))))
1.0ms	z	@	inf	(/ 1 (- (+ x (sin y)) (* z (cos y))))
1.0ms	z	@	0	(* z (- (+ (* (* y y) (+ (* y (/ -1/6 z)) -1/2)) 1) (- 0 (/ (+ y x) z))))

rewrite383.0ms (3.5%)

Memory

16.2MiB live, 560.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 372×	`/-lowering-/.f32`
4 372×	`/-lowering-/.f64`
3 516×	`-lowering-.f32`
3 516×	`-lowering-.f64`
3 326×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	171
1	299	165
2	2973	165
0	8370	148

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 641

Calls

Call 1

Inputs
(* (- (+ x (sin y)) (* z (cos y))) (/ 1 (- (+ x (sin y)) (* z (cos y)))))
(* (+ (sin y) (+ (* z (cos y)) x)) (* (- (+ x (sin y)) (* z (cos y))) (/ 1 (- (+ x (sin y)) (* z (cos y))))))
(+ (sin y) (+ (* z (cos y)) x))
(sin y)
(+ (* y (+ (* y (+ (* z -1/2) (* y -1/6))) 1)) (+ x z))
(+ (* y (+ (* z -1/2) (* y -1/6))) 1)
(+ (* z -1/2) (* y -1/6))
(* y -1/6)
(* z (- (+ (* (* y y) (+ (* y (/ -1/6 z)) -1/2)) 1) (- 0 (/ (+ y x) z))))
(- (+ (* (* y y) (+ (* y (/ -1/6 z)) -1/2)) 1) (- 0 (/ (+ y x) z)))
(+ (* (* y y) (+ (* y (/ -1/6 z)) -1/2)) 1)
(* y y)
(* z (+ (cos y) (/ x z)))
(+ (cos y) (/ x z))
(cos y)
(/ x z)
(* z (cos y))
(/ 1 (- (+ x (sin y)) (* z (cos y))))
(+ (* z (cos y)) x)
(/ -1/6 z)
(+ (* y (/ -1/6 z)) -1/2)

Outputs
#s(literal 1 binary64)
(+.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) x) (sin.f64 y))
(+.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
(+.f64 (.f64 #s(literal 1 binary64) (sin.f64 y)) (.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) x)))
(+.f64 (.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) x)) (.f64 #s(literal 1 binary64) (sin.f64 y)))
(+.f64 (.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y))) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (sin.f64 y) #s(literal 1 binary64)) (.f64 (fma.f64 z (cos.f64 y) x) #s(literal 1 binary64)))
(+.f64 (.f64 (fma.f64 z (cos.f64 y) x) #s(literal 1 binary64)) (.f64 (sin.f64 y) #s(literal 1 binary64)))
(+.f64 (.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
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(.f64 (fma.f64 x (.f64 x x) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z) (.f64 x (-.f64 x (*.f64 z (cos.f64 y)))))))
(.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z) (.f64 (-.f64 #s(literal 0 binary64) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (-.f64 #s(literal 0 binary64) x))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal -6 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/6 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal -6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 z #s(literal -6 binary64)))))
(/.f64 #s(literal -1/6 binary64) z)
(/.f64 #s(literal -1/6 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z #s(literal -6 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 z #s(literal -6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1/6 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z))))
(pow.f64 (*.f64 z #s(literal -6 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 z #s(literal -6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) z))
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal -1/6 binary64)) z))
(+.f64 (/.f64 (*.f64 y #s(literal -1/6 binary64)) z) #s(literal -1/2 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (*.f64 z z)) (fma.f64 #s(literal -1/6 binary64) (/.f64 y z) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 y z) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y #s(literal -1/6 binary64)) z))) (/.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (.f64 z z)) (-.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y #s(literal -1/6 binary64)) z))))
(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (/.f64 y z) #s(literal -1/2 binary64))
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal -1/6 binary64) z) y #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal -6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 y z) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) z) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (.f64 z z)) #s(literal 1/4 binary64)) (/.f64 (.f64 (.f64 y #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) z)) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/216 binary64) (.f64 z (*.f64 z z))) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 y z) #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (*.f64 z z)) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (.f64 z z)) #s(literal 1/4 binary64)) (/.f64 (.f64 (.f64 y #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) z)) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/216 binary64) (.f64 z (*.f64 z z))) #s(literal -1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 y z) #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (*.f64 z z)) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/216 binary64) (.f64 z (.f64 z z))) #s(literal -1/8 binary64)) (-.f64 (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (.f64 z z)) #s(literal 1/4 binary64)) (/.f64 (.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) z)))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/216 binary64) (.f64 z (.f64 z z))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 (/.f64 (.f64 y #s(literal -1/6 binary64)) z) (.f64 y #s(literal -1/6 binary64))) (.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) z)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (*.f64 z z)) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 y z) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/216 binary64) (.f64 z (.f64 z z))) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (.f64 z z)) #s(literal 1/4 binary64)) (/.f64 (.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) z))))
(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/216 binary64) (.f64 z (.f64 z z))) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 (/.f64 (.f64 y #s(literal -1/6 binary64)) z) (.f64 y #s(literal -1/6 binary64))) (.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) z))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (*.f64 z z)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 y z) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (.f64 z z))) (-.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y #s(literal -1/6 binary64)) z)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/216 binary64) (.f64 z (.f64 z z))) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (.f64 z z)) #s(literal 1/4 binary64)) (/.f64 (.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) z)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (*.f64 z z)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 y z) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (.f64 z z)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y #s(literal -1/6 binary64)) z))))
(pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (.f64 z z)) #s(literal 1/4 binary64)) (/.f64 (.f64 (.f64 y #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) z)) (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/216 binary64) (.f64 z (*.f64 z z))) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 y z) #s(literal 1/2 binary64)) (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (*.f64 z z)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal -1/216 binary64) (.f64 z (.f64 z z))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (.f64 z z)) #s(literal 1/4 binary64)) (/.f64 (.f64 (.f64 y #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) z))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/36 binary64)) (.f64 z z)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (/.f64 y z) #s(literal 1/2 binary64))))

simplify428.0ms (3.9%)

Memory

0.6MiB live, 837.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 646×	`accelerator-lowering-fma.f32`
9 646×	`accelerator-lowering-fma.f64`
5 364×	`-lowering-.f32`
5 364×	`-lowering-.f64`
3 308×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	556	5811
1	1700	5678
2	5690	5554
0	8247	5116

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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) (* 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) (* 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)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(+ x z)
(+ x (+ y z))
(+ x (+ z (* y (+ 1 (* -1/2 (* y z))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y)))))
(+ x (* y (+ 1 (* -1/6 (pow y 2)))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2))))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))))
x
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x))))
x
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1)))
1
(+ 1 (* -1/2 (* y z)))
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6))
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2))))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y))))
(* -1/6 y)
(+ (* -1/2 z) (* -1/6 y))
(+ (* -1/2 z) (* -1/6 y))
(+ (* -1/2 z) (* -1/6 y))
(* -1/2 z)
(* z (- (* -1/6 (/ y z)) 1/2))
(* z (- (* -1/6 (/ y z)) 1/2))
(* z (- (* -1/6 (/ y z)) 1/2))
(* -1/2 z)
(* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))
(* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))
(* -1 (* z (+ 1/2 (* 1/6 (/ y z)))))
(* -1/2 z)
(+ (* -1/2 z) (* -1/6 y))
(+ (* -1/2 z) (* -1/6 y))
(+ (* -1/2 z) (* -1/6 y))
(* -1/6 y)
(* y (- (* -1/2 (/ z y)) 1/6))
(* y (- (* -1/2 (/ z y)) 1/6))
(* y (- (* -1/2 (/ z y)) 1/6))
(* -1/6 y)
(* -1 (* y (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* y (+ 1/6 (* 1/2 (/ z y)))))
(* -1 (* y (+ 1/6 (* 1/2 (/ z y)))))
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(+ x (+ y (* -1/6 (pow y 3))))
(+ x (+ y (+ (* -1/6 (pow y 3)) (* z (+ 1 (* -1/2 (pow y 2)))))))
(+ x (+ y (+ (* -1/6 (pow y 3)) (* z (+ 1 (* -1/2 (pow y 2)))))))
(+ x (+ y (+ (* -1/6 (pow y 3)) (* z (+ 1 (* -1/2 (pow y 2)))))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (+ (/ x z) (/ y z))))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (+ (/ x z) (/ y z))))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (* -1/6 (/ (pow y 3) z)) (+ (/ x z) (/ y z))))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (+ (* -1 (/ (+ x y) z)) (* 1/6 (/ (pow y 3) z))))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (+ (* -1 (/ (+ x y) z)) (* 1/6 (/ (pow y 3) z))))))
(* -1 (* z (+ (* -1 (+ 1 (* -1/2 (pow y 2)))) (+ (* -1 (/ (+ x y) z)) (* 1/6 (/ (pow y 3) z))))))
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Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
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#s(literal 1 binary64)
1
#s(literal 1 binary64)
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#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
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#s(literal 1 binary64)
1
#s(literal 1 binary64)
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#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
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#s(literal 1 binary64)
1
#s(literal 1 binary64)
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#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
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(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (/.f64 (pow.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y)) (sin.f64 y)) #s(literal 2 binary64)) x)) (sin.f64 y)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- (sin y) (* z (cos y))) 2) (- (* z (cos y)) (sin y))) x)) (* -1 (* (- (sin y) (* z (cos y))) (- (* z (cos y)) (sin y))))) x)) (* z (cos y))) (sin y)) x)) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y)) (sin.f64 y)) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y)) (sin.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y)) (sin.f64 y)) #s(literal 2 binary64))) x)) x)) (-.f64 #s(literal 0 binary64) x))
(/ 1 (- x z))
(/.f64 #s(literal 1 binary64) (-.f64 x z))
(+ (* -1 (/ y (pow (- x z) 2))) (/ 1 (- x z)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 y (*.f64 (-.f64 x z) (-.f64 x z))))
(+ (* y (- (* y (- (/ 1 (pow (- x z) 3)) (* 1/2 (/ z (pow (- x z) 2))))) (/ 1 (pow (- x z) 2)))) (/ 1 (- x z)))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 z (.f64 (-.f64 x z) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) (.f64 (-.f64 x z) (-.f64 x z))))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 x z) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(+ (* y (- (* y (- (+ (* y (- (+ (* 1/6 (/ 1 (pow (- x z) 2))) (* 1/2 (/ z (pow (- x z) 3)))) (+ (* -1/2 (/ z (pow (- x z) 3))) (/ 1 (pow (- x z) 4))))) (/ 1 (pow (- x z) 3))) (* 1/2 (/ z (pow (- x z) 2))))) (/ 1 (pow (- x z) 2)))) (/ 1 (- x z)))
(fma.f64 y (fma.f64 y (fma.f64 y (-.f64 (fma.f64 z (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x z) (.f64 (-.f64 x z) (-.f64 x z)))) (/.f64 #s(literal 1/6 binary64) (.f64 (-.f64 x z) (-.f64 x z)))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (.f64 (-.f64 x z) (.f64 (-.f64 x z) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x z) #s(literal 4 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (.f64 (-.f64 x z) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x z) (.f64 (-.f64 x z) (-.f64 x z)))))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x z) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(/ 1 (- (+ x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/ 1 (- (+ x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/ 1 (- (+ x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/ 1 (- (+ x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/ 1 (- (+ x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/ 1 (- (+ x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/ 1 (- (+ x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/ 1 (- (+ x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) (cos.f64 y)) (+.f64 x (sin.f64 y))))
(/ 1 (+ x (sin y)))
(/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y)))
(+ (/ 1 (+ x (sin y))) (/ (* z (cos y)) (pow (+ x (sin y)) 2)))
(fma.f64 z (/.f64 (cos.f64 y) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (* -1 (/ (cos y) (pow (+ x (sin y)) 2))))) (/ 1 (+ x (sin y))))
(fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64))) (/.f64 (cos.f64 y) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))))
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4)) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (* -1 (/ (cos y) (pow (+ x (sin y)) 2))))) (/ 1 (+ x (sin y))))
(fma.f64 z (fma.f64 z (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (cos.f64 y) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 y))))
(/ -1 (* z (cos y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y)))
(/ (- (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z)
(/ (- (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ 1 (cos y)) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))))) z)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (fma.f64 (+.f64 x (sin.f64 y)) (/.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 (cos.f64 y) (.f64 z z))) (/.f64 x (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) z)
(/ (- (* -1 (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (+ (/ 1 (cos y)) (+ (/ x (* z (pow (cos y) 2))) (+ (/ (sin y) (* z (pow (cos y) 2))) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y))))))) z)
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 z (.f64 z z)))) (+.f64 (+.f64 (/.f64 x (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (fma.f64 (+.f64 x (sin.f64 y)) (/.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 (cos.f64 y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (cos.f64 y)))))) z)
(/ -1 (* z (cos y)))
(/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y)))
(* -1 (/ (+ (/ 1 (cos y)) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) (+.f64 (/.f64 x (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) z)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y)))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (+.f64 x (sin.f64 y)) (/.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 z (cos.f64 y))) (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y)))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 x (sin.f64 y)) (cos.f64 y)))) z) (+.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)) (-.f64 #s(literal 0 binary64) z))
x
(+ x (* z (cos y)))
(fma.f64 z (cos.f64 y) x)
(+ x (* z (cos y)))
(fma.f64 z (cos.f64 y) x)
(+ x (* z (cos y)))
(fma.f64 z (cos.f64 y) x)
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ x z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(* z (+ (cos y) (/ x z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(* z (+ (cos y) (/ x z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ x z)))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
(+ x z)
(+.f64 x z)
(+ x (+ z (* -1/2 (* (pow y 2) z))))
(fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))))
(+.f64 x (fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))
(+ x (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))))
(fma.f64 (.f64 y y) (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))) (+.f64 x z))
(+ x (* z (cos y)))
(fma.f64 z (cos.f64 y) x)
(+ x (* z (cos y)))
(fma.f64 z (cos.f64 y) x)
(+ x (* z (cos y)))
(fma.f64 z (cos.f64 y) x)
(+ x (* z (cos y)))
(fma.f64 z (cos.f64 y) x)
(+ x (* z (cos y)))
(fma.f64 z (cos.f64 y) x)
(+ x (* z (cos y)))
(fma.f64 z (cos.f64 y) x)
(+ x (* z (cos y)))
(fma.f64 z (cos.f64 y) x)
(+ x (* z (cos y)))
(fma.f64 z (cos.f64 y) x)
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ x (* z (cos y)))
(fma.f64 z (cos.f64 y) x)
(+ x (* z (cos y)))
(fma.f64 z (cos.f64 y) x)
(+ x (* z (cos y)))
(fma.f64 z (cos.f64 y) x)
x
(* x (+ 1 (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)))
(* x (+ 1 (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)))
(* x (+ 1 (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 z (/.f64 (cos.f64 y) x)))))
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 z (/.f64 (cos.f64 y) x)))))
(* -1 (* x (- (* -1 (/ (* z (cos y)) x)) 1)))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal -1 binary64) (.f64 z (/.f64 (cos.f64 y) x)))))
(/ -1/6 z)
(/.f64 #s(literal -1/6 binary64) z)
(/ -1/6 z)
(/.f64 #s(literal -1/6 binary64) z)
(/ -1/6 z)
(/.f64 #s(literal -1/6 binary64) z)
(/ -1/6 z)
(/.f64 #s(literal -1/6 binary64) z)
(/ -1/6 z)
(/.f64 #s(literal -1/6 binary64) z)
(/ -1/6 z)
(/.f64 #s(literal -1/6 binary64) z)
(/ -1/6 z)
(/.f64 #s(literal -1/6 binary64) z)
(/ -1/6 z)
(/.f64 #s(literal -1/6 binary64) z)
(/ -1/6 z)
(/.f64 #s(literal -1/6 binary64) z)
(/ -1/6 z)
(/.f64 #s(literal -1/6 binary64) z)
(/ -1/6 z)
(/.f64 #s(literal -1/6 binary64) z)
(/ -1/6 z)
(/.f64 #s(literal -1/6 binary64) z)
-1/2
#s(literal -1/2 binary64)
(- (* -1/6 (/ y z)) 1/2)
(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))
(- (* -1/6 (/ y z)) 1/2)
(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))
(- (* -1/6 (/ y z)) 1/2)
(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))
(* -1/6 (/ y z))
(/.f64 (*.f64 y #s(literal -1/6 binary64)) z)
(* -1 (* y (+ (* 1/6 (/ 1 z)) (* 1/2 (/ 1 y)))))
(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))
(* -1 (* y (+ (* 1/6 (/ 1 z)) (* 1/2 (/ 1 y)))))
(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))
(* -1 (* y (+ (* 1/6 (/ 1 z)) (* 1/2 (/ 1 y)))))
(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))
(* -1/6 (/ y z))
(/.f64 (*.f64 y #s(literal -1/6 binary64)) z)
(* -1 (* y (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z)))))
(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z)))))
(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))
(* -1 (* y (+ (* 1/2 (/ 1 y)) (* 1/6 (/ 1 z)))))
(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))
(* -1/6 (/ y z))
(/.f64 (*.f64 y #s(literal -1/6 binary64)) z)
(/ (+ (* -1/2 z) (* -1/6 y)) z)
(/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) z)
(/ (+ (* -1/2 z) (* -1/6 y)) z)
(/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) z)
(/ (+ (* -1/2 z) (* -1/6 y)) z)
(/.f64 (fma.f64 z #s(literal -1/2 binary64) (*.f64 y #s(literal -1/6 binary64))) z)
-1/2
#s(literal -1/2 binary64)
(- (* -1/6 (/ y z)) 1/2)
(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))
(- (* -1/6 (/ y z)) 1/2)
(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))
(- (* -1/6 (/ y z)) 1/2)
(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* -1/6 (/ y z)) 1/2)
(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))
(- (* -1/6 (/ y z)) 1/2)
(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))
(- (* -1/6 (/ y z)) 1/2)
(fma.f64 y (/.f64 #s(literal -1/6 binary64) z) #s(literal -1/2 binary64))

eval198.0ms (1.8%)

Memory: 3.1MiB live, 290.7MiB allocated
Compiler: Compiled 39 551 to 2 565 computations (93.5% saved)

prune146.0ms (1.3%)

Memory

-5.9MiB live, 308.3MiB allocated

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	1 286	10	1 296
Fresh	4	19	23
Picked	3	2	5
Done	0	3	3
Total	1 293	34	1 327

Accuracy

100.0%

Counts

1 327 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.8%	(fma.f64 (fma.f64 y #s(literal -1/6 binary64) (.f64 z #s(literal -1/2 binary64))) (.f64 y y) (+.f64 y (+.f64 x z)))
	48.5%	(fma.f64 (.f64 z (+.f64 x y)) (/.f64 #s(literal 1 binary64) z) (.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))))
	16.9%	(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
	98.4%	(fma.f64 (cos.f64 y) z (fma.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) x) x))
	49.3%	(fma.f64 (cos.f64 y) z (sin.f64 y))
	82.6%	(fma.f64 (cos.f64 y) z x)
	16.9%	(fma.f64 z (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
	39.4%	(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x)
	49.2%	(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) (+.f64 x z))
	84.6%	(fma.f64 #s(literal 1 binary64) z (fma.f64 x (/.f64 (sin.f64 y) x) x))
	36.2%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z z)) (.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 z (cos.f64 y)) (.f64 x #s(literal 1 binary64))))
	6.4%	(/.f64 (.f64 (fma.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) (.f64 y z)) #s(literal 1 binary64)) (.f64 y (*.f64 #s(literal -1/2 binary64) z))))
	39.1%	(/.f64 (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (.f64 z z))) z) (-.f64 (cos.f64 y) (/.f64 x z)))
	68.6%	(+.f64 (sin.f64 y) x)
	67.3%	(+.f64 z x)
	64.0%	(+.f64 y (+.f64 z x))
	48.7%	(+.f64 y x)
	32.9%	(.f64 (+.f64 (sin.f64 y) (fma.f64 z (cos.f64 y) x)) (.f64 (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 #s(literal -1 binary64) (.f64 z (cos.f64 y)))))
	32.5%	(*.f64 (cos.f64 y) z)
	16.6%	(.f64 z (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	45.2%	(.f64 z (-.f64 (fma.f64 (.f64 y y) (/.f64 (*.f64 y #s(literal -1/6 binary64)) z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) z))))
	30.6%	(.f64 z (+.f64 (fma.f64 y (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 z (-.f64 x y)))))
	49.3%	(*.f64 z (+.f64 (cos.f64 y) (/.f64 (sin.f64 y) z)))
✓	69.3%	(*.f64 z (+.f64 (cos.f64 y) (/.f64 x z)))
	39.0%	(.f64 z (.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (/.f64 x z)))))
	7.6%	(.f64 z (.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) z))))
✓	7.6%	(.f64 y (fma.f64 z (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	7.2%	(.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 y z) (*.f64 y z)) #s(literal -1 binary64)))))
	2.6%	(.f64 y (.f64 y (*.f64 z #s(literal -1/2 binary64))))
	73.8%	(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) #s(literal 1 binary64)))
	2.6%	(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
✓	18.3%	z
✓	8.0%	y
✓	51.4%	x

Compiler

Compiled 1 248 to 504 computations (59.6% saved)

regimes66.0ms (0.6%)

Memory

-13.2MiB live, 103.3MiB allocated

Counts

55 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes44.0ms (0.4%)

Memory

29.5MiB live, 67.8MiB allocated

Counts

37 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.3%	3	`x`
89.5%	2	`y`
99.8%	3	`z`
99.8%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes22.0ms (0.2%)

Memory

-4.6MiB live, 33.8MiB allocated

Counts

34 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.4%	3	`z`
97.7%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes42.0ms (0.4%)

Memory

-36.3MiB live, 60.9MiB allocated

Counts

30 → 4

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	y
10.0ms	z
9.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
9.0ms	x

Results

Accuracy	Segments	Branch
83.3%	3	`y`
77.1%	4	`x`
82.5%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
88.5%	4	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes18.0ms (0.2%)

Memory

29.0MiB live, 29.0MiB allocated

Counts

28 → 3

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	z
8.0ms	y

Results

Accuracy	Segments	Branch
83.3%	3	`y`
83.2%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes54.0ms (0.5%)

Memory

1.3MiB live, 39.3MiB allocated

Counts

27 → 3

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	y
8.0ms	x
8.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
8.0ms	z

Results

Accuracy	Segments	Branch
72.1%	3	`x`
72.5%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
67.3%	1	`z`
72.6%	3	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes18.0ms (0.2%)

Memory

-25.3MiB live, 13.2MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	y
5.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

Results

Accuracy	Segments	Branch
72.4%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
72.5%	3	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes5.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
72.5%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.3%	1	`x`
71.0%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
67.3%	1	`y`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes10.0ms (0.1%)

Memory

-19.1MiB live, 19.0MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
x
y
z
(+.f64 y x)

Outputs
z
x
(+.f64 y x)
z

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
56.4%	3	`y`
61.7%	4	`z`
59.5%	3	`x`
56.4%	3	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.7MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
x
y
z

Outputs
z
x
z

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
59.7%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
x
y

Outputs
x
y
x

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.4%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
51.4%	1	`y`
55.2%	3	`x`
51.4%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

-33.4MiB live, 7.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
51.4%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
51.4%	1	`x`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	24323.21348785684	118051894.55830052
0.0ms	-7.708405059882602e+33	-8.07245579260772e+19

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch36.0ms (0.3%)

Memory

9.1MiB live, 47.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.596932159333879e-35	1.3638414689472694e-28
16.0ms	-0.0010684988517666	-3.815044392577269e-6

Samples

25.0ms

272×

valid

Compiler

Compiled 304 to 218 computations (28.3% saved)

Precisions

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

ival-sin: 7.0ms (42.5% of total)

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

ival-add: 2.0ms (12.1% of total)

ival-mult: 2.0ms (12.1% of total)

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

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

bsearch50.0ms (0.4%)

Memory

5.4MiB live, 80.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	5.435877198539996e+131	5.557305739448833e+140
19.0ms	4.596932159333879e-35	1.3638414689472694e-28
10.0ms	-1.13804795887099e+72	-3.791164985785182e+71

Samples

32.0ms

368×

valid

Compiler

Compiled 365 to 272 computations (25.5% saved)

Precisions

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

ival-sin: 9.0ms (40.2% of total)

ival-cos: 7.0ms (31.3% of total)

ival-add: 3.0ms (13.4% of total)

ival-mult: 2.0ms (8.9% of total)

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

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

bsearch31.0ms (0.3%)

Memory

7.3MiB live, 48.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	8.705440674802984e-7	2.0503979992940677e-6
21.0ms	-4479159818967490.5	-638544147896.5021

Samples

22.0ms

208×

valid

Compiler

Compiled 314 to 222 computations (29.3% saved)

Precisions

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

ival-cos: 8.0ms (48.7% of total)

ival-sin: 5.0ms (30.5% 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)

bsearch38.0ms (0.3%)

Memory

18.7MiB live, 55.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	35553785.802829176	2301324992.570072
20.0ms	-4479159818967490.5	-638544147896.5021

Samples

27.0ms

240×

valid

Compiler

Compiled 390 to 269 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-cos: 9.0ms (43.1% of total)

ival-sin: 8.0ms (38.3% of total)

ival-add: 2.0ms (9.6% of total)

ival-mult: 2.0ms (9.6% of total)

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

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

bsearch44.0ms (0.4%)

Memory

-11.1MiB live, 66.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	9.69182255596295e+26	2.1435249606977234e+40
19.0ms	-4479159818967490.5	-638544147896.5021

Samples

32.0ms

288×

valid

Compiler

Compiled 411 to 284 computations (30.9% saved)

Precisions

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

ival-sin: 11.0ms (46.6% of total)

ival-cos: 8.0ms (33.9% of total)

ival-add: 3.0ms (12.7% of total)

ival-mult: 2.0ms (8.5% of total)

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

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

bsearch46.0ms (0.4%)

Memory

-10.3MiB live, 69.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.0469547296763328e+68	2.1708852965524947e+81
20.0ms	-4479159818967490.5	-638544147896.5021

Samples

32.0ms

288×

valid

Compiler

Compiled 303 to 212 computations (30% saved)

Precisions

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

ival-cos: 10.0ms (40.5% of total)

ival-sin: 10.0ms (40.5% of total)

ival-add: 3.0ms (12.2% of total)

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

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

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.050397999292631e-6	1.455136897073818e-5
0.0ms	-0.0010684988517666	-5.516053407982772e-14

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch41.0ms (0.4%)

Memory

1.7MiB live, 78.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	5.435877198539996e+131	5.557305739448833e+140
7.0ms	1.1042585395380269e-274	1.3510527034799744e-274
15.0ms	-5.311429588799414e+133	-2.0215318972294663e+131

Samples

27.0ms

320×

valid

Compiler

Compiled 239 to 186 computations (22.2% saved)

Precisions

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

ival-sin: 7.0ms (36.7% of total)

ival-cos: 6.0ms (31.4% of total)

ival-add: 3.0ms (15.7% of total)

ival-mult: 3.0ms (15.7% of total)

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

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

bsearch57.0ms (0.5%)

Memory

9.8MiB live, 53.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	5.435877198539996e+131	5.557305739448833e+140
15.0ms	-5.311429588799414e+133	-2.0215318972294663e+131

Samples

46.0ms

272×

valid

Compiler

Compiled 185 to 150 computations (18.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sin: 29.0ms (74.4% of total)

ival-cos: 5.0ms (12.8% of total)

ival-add: 3.0ms (7.7% of total)

ival-mult: 2.0ms (5.1% of total)

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

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

bsearch65.0ms (0.6%)

Memory

16.5MiB live, 52.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	5.6286718572648025e-93	2.0100727434504846e-83
15.0ms	-8.192480504616741e-193	-2.584411679684005e-195

Samples

54.0ms

272×

valid

Compiler

Compiled 185 to 150 computations (18.9% saved)

Precisions

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

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

ival-cos: 5.0ms (30.5% of total)

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

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

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

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

simplify22.0ms (0.2%)

Memory

-11.4MiB live, 25.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`if-if-or-not_binary32`
14×	`+-commutative_binary64`
6×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	255
1	145	255

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -4999999999999999727876154935214080 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 40000 binary64)) (fma.f64 #s(literal 1 binary64) z (fma.f64 x (/.f64 (sin.f64 y) x) x)) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 z #s(literal -48999163945791/576460752303423488 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 z #s(literal 5887396732412085/89202980794122492566142873090593446023921664 binary64)) (+.f64 (sin.f64 y) x) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 z #s(literal -800000000000000033505220451369166367193147093312270626514742169445597184 binary64)) (.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal 2185473029456001/44601490397061246283071436545296723011960832 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 340000000000000017686312188499119055736780181869872959156693691821763352243002793750095692905951336752397348659017652472395996046819328 binary64)) (+.f64 z x) (.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -650000000000 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 4722366482869645/2361183241434822606848 binary64)) (+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 (sin.f64 y) x)))
(if (<=.f64 y #s(literal -980000000000 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 132000000 binary64)) (+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) (+.f64 z x)))
(if (<=.f64 y #s(literal -860000000000 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 4600000000000000210814664383135744 binary64)) (+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 z x)))
(if (<=.f64 y #s(literal -270000000000000 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 140000000000000000576303963002287552922503497661080676155429908119552 binary64)) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -1152921504606847/1152921504606846976 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (+.f64 y x) (+.f64 z x)))
(if (<=.f64 z #s(literal -1179999999999999967113766064805397986273935986898908465296574835830199464914363264339626470065681110644141556011926620763775890882560 binary64)) z (if (<=.f64 z #s(literal 18272463771375/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) x (if (<=.f64 z #s(literal 3400000000000000111661312463296748668555842725622679764741865649279739823455879184849604473134273203125428316266696280967404868156319072256 binary64)) (+.f64 y x) z)))
(if (<=.f64 z #s(literal -609999999999999989677795371873041198375346586472082139700727545719924582362220569573149577152125084555745423851066412565448213135360 binary64)) z (if (<=.f64 z #s(literal 2400000000000000104077381594129397232140789560417527965016987009131835301431978020468812710358773725412697423253722009121184278380544 binary64)) x z))
(if (<=.f64 x #s(literal -5342325525010067/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584 binary64)) x (if (<=.f64 x #s(literal 7280482006598883/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) y x))
x

Outputs
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -4999999999999999727876154935214080 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 40000 binary64)) (fma.f64 #s(literal 1 binary64) z (fma.f64 x (/.f64 (sin.f64 y) x) x)) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 (+.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) #s(literal -4999999999999999727876154935214080 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 (+.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) #s(literal 40000 binary64)) (fma.f64 #s(literal 1 binary64) z (fma.f64 x (/.f64 (sin.f64 y) x) x)) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 z #s(literal -48999163945791/576460752303423488 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 z #s(literal 5887396732412085/89202980794122492566142873090593446023921664 binary64)) (+.f64 (sin.f64 y) x) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 z #s(literal -48999163945791/576460752303423488 binary64)) (fma.f64 (cos.f64 y) z x) (if (<=.f64 z #s(literal 5887396732412085/89202980794122492566142873090593446023921664 binary64)) (+.f64 x (sin.f64 y)) (fma.f64 (cos.f64 y) z x)))
(if (<=.f64 z #s(literal -800000000000000033505220451369166367193147093312270626514742169445597184 binary64)) (.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal 2185473029456001/44601490397061246283071436545296723011960832 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 340000000000000017686312188499119055736780181869872959156693691821763352243002793750095692905951336752397348659017652472395996046819328 binary64)) (+.f64 z x) (.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -800000000000000033505220451369166367193147093312270626514742169445597184 binary64)) (.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal 2185473029456001/44601490397061246283071436545296723011960832 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 z #s(literal 340000000000000017686312188499119055736780181869872959156693691821763352243002793750095692905951336752397348659017652472395996046819328 binary64)) (+.f64 z x) (.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -650000000000 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 4722366482869645/2361183241434822606848 binary64)) (+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 (sin.f64 y) x)))
(if (<=.f64 y #s(literal -650000000000 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 4722366482869645/2361183241434822606848 binary64)) (+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -980000000000 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 132000000 binary64)) (+.f64 x (fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) z)) (+.f64 z x)))
(if (<=.f64 y #s(literal -860000000000 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 4600000000000000210814664383135744 binary64)) (+.f64 y (fma.f64 z (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (+.f64 z x)))
(if (<=.f64 y #s(literal -270000000000000 binary64)) (+.f64 z x) (if (<=.f64 y #s(literal 140000000000000000576303963002287552922503497661080676155429908119552 binary64)) (+.f64 y (+.f64 z x)) (+.f64 z x)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -1152921504606847/1152921504606846976 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (+.f64 y x) (+.f64 z x)))
(if (<=.f64 (+.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) #s(literal -1152921504606847/1152921504606846976 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) #s(literal 4722366482869645/1180591620717411303424 binary64)) (+.f64 y x) (+.f64 z x)))
(if (<=.f64 z #s(literal -1179999999999999967113766064805397986273935986898908465296574835830199464914363264339626470065681110644141556011926620763775890882560 binary64)) z (if (<=.f64 z #s(literal 18272463771375/152270531428124985630521599810549817357441044649921992607311038393952323293225407851025235404406410300395389316115760440366549529143798344477781051504885209680176214061819891091731088367032088255512493648112787169901337467584294921027286931491702587700433418798504336673153571718623657984 binary64)) x (if (<=.f64 z #s(literal 3400000000000000111661312463296748668555842725622679764741865649279739823455879184849604473134273203125428316266696280967404868156319072256 binary64)) (+.f64 y x) z)))
(if (<=.f64 z #s(literal -609999999999999989677795371873041198375346586472082139700727545719924582362220569573149577152125084555745423851066412565448213135360 binary64)) z (if (<=.f64 z #s(literal 2400000000000000104077381594129397232140789560417527965016987009131835301431978020468812710358773725412697423253722009121184278380544 binary64)) x z))
(if (<=.f64 x #s(literal -5342325525010067/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584 binary64)) x (if (<=.f64 x #s(literal 7280482006598883/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) y x))
x

soundness1.6s (14.3%)

Memory

4.2MiB live, 987.3MiB allocated

Rules

11 212×	`accelerator-lowering-fma.f32`
11 212×	`accelerator-lowering-fma.f64`
10 328×	`accelerator-lowering-fma.f32`
10 328×	`accelerator-lowering-fma.f64`
8 474×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	591
1	282	587
2	797	577
3	2037	575
4	3964	575
5	7253	575
0	8423	528
0	32	116
1	228	92
0	2354	84
0	274	3618
1	852	3610
2	2469	3379
3	6945	3356
0	8107	3101
0	520	4889
1	1654	4812
2	5441	4758
0	8348	4385
0	8	19
1	38	19
2	357	19
3	5535	19
0	8305	18

Stop Event

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

Compiler

Compiled 537 to 280 computations (47.9% saved)

preprocess171.0ms (1.6%)

Memory: -9.5MiB live, 265.3MiB allocated
Compiler: Compiled 578 to 216 computations (62.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.1s (10.4%)

preprocess75.0ms (0.7%)

explain184.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize85.0ms (0.8%)

series6.0ms (0.1%)

rewrite727.0ms (6.6%)

simplify437.0ms (4%)

eval56.0ms (0.5%)

prune40.0ms (0.4%)

simplify381.0ms (3.5%)

localize149.0ms (1.4%)

series40.0ms (0.4%)

rewrite193.0ms (1.8%)

simplify583.0ms (5.3%)

eval165.0ms (1.5%)

prune131.0ms (1.2%)

simplify381.0ms (3.5%)

localize169.0ms (1.5%)

series62.0ms (0.6%)

rewrite757.0ms (6.9%)

simplify455.0ms (4.1%)

eval348.0ms (3.2%)

prune148.0ms (1.3%)

simplify448.0ms (4.1%)

localize150.0ms (1.4%)

series66.0ms (0.6%)

rewrite383.0ms (3.5%)

simplify428.0ms (3.9%)

eval198.0ms (1.8%)

prune146.0ms (1.3%)

regimes66.0ms (0.6%)

regimes44.0ms (0.4%)

regimes22.0ms (0.2%)

regimes42.0ms (0.4%)

regimes18.0ms (0.2%)

regimes54.0ms (0.5%)

regimes18.0ms (0.2%)

regimes5.0ms (0%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch36.0ms (0.3%)

bsearch50.0ms (0.4%)

bsearch31.0ms (0.3%)

bsearch38.0ms (0.3%)

bsearch44.0ms (0.4%)

bsearch46.0ms (0.4%)

bsearch0.0ms (0%)

bsearch41.0ms (0.4%)

bsearch57.0ms (0.5%)

bsearch65.0ms (0.6%)

simplify22.0ms (0.2%)

soundness1.6s (14.3%)

preprocess171.0ms (1.6%)

end0.0ms (0%)

Profiling