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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (15.7%)

Memory

-5.7MiB live, 1 809.7MiB allocated

Samples

1.2s	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 880.0ms

ival-cos: 349.0ms (39.7% of total)

ival-sin: 279.0ms (31.7% of total)

ival-add: 131.0ms (14.9% of total)

ival-mult: 111.0ms (12.6% of total)

ival-true: 6.0ms (0.7% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

preprocess67.0ms (0.7%)

Memory

-6.1MiB live, 32.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	92	82
2	234	81
3	588	81
4	1029	81
5	1414	81
6	1696	81
7	1888	81
8	1995	81
9	2055	81
10	2069	81
0	8	9
0	13	9
1	18	9
2	25	9
3	27	9
0	27	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

explain154.0ms (1.7%)

Memory

-16.5MiB live, 155.9MiB 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

96.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 38.0ms (47.7% of total)

ival-sin: 25.0ms (31.4% of total)

ival-cos: 11.0ms (13.8% of total)

ival-add: 4.0ms (5% of total)

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

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

simplify5.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB 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×	`lower-+.f32`
20×	`lower-+.f64`
12×	`lower-fma.f64`
12×	`lower-fma.f32`
10×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	18	24
2	25	24
3	27	24
0	27	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize41.0ms (0.4%)

Memory

9.7MiB live, 46.1MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

32.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-sin: 15.0ms (62.4% of total)

ival-cos: 5.0ms (20.8% of total)

ival-add: 2.0ms (8.3% of total)

ival-mult: 2.0ms (8.3% of total)

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

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

series9.0ms (0.1%)

Memory

-24.5MiB live, 12.5MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#<alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))>
#<alt (+.f64 x (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (*.f64 z (cos.f64 y))>
#<alt (cos.f64 y)>

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

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	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)))

rewrite306.0ms (3.3%)

Memory

39.0MiB live, 508.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 470×	`lower-*.f32`
4 468×	`lower-*.f64`
4 404×	`lower-fma.f64`
4 404×	`lower-fma.f32`
2 454×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	43	21
2	362	21
3	5548	21
0	8320	20

Stop Event

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

Counts

5 → 172

Calls

Call 1

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

simplify325.0ms (3.5%)

Memory

-13.4MiB live, 429.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 712×	`lower-fma.f64`
11 712×	`lower-fma.f32`
3 160×	`lower-*.f64`
3 160×	`lower-*.f32`
2 322×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 101

Calls

Call 1

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

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

eval35.0ms (0.4%)

Memory: 3.2MiB live, 81.2MiB allocated
Compiler: Compiled 6 608 to 592 computations (91% saved)

prune39.0ms (0.4%)

Memory

25.0MiB live, 98.7MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	259	14	273
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	260	14	274

Accuracy

99.9%

Counts

274 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.4%	(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)
▶	99.9%	(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
▶	57.7%	(fma.f64 z (cos.f64 y) (sin.f64 y))
▶	56.0%	(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))
	37.3%	(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (.f64 x x)))
	56.3%	(/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))
	56.1%	(-.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))))))
	57.5%	(+.f64 (sin.f64 y) x)
	59.5%	(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
▶	70.6%	(+.f64 z x)
	62.7%	(+.f64 y (+.f64 z x))
	53.2%	(.f64 (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) (.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))))
▶	56.2%	(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
	44.0%	(*.f64 z (cos.f64 y))

Compiler

Compiled 614 to 302 computations (50.8% saved)

simplify333.0ms (3.6%)

Memory

-15.0MiB live, 502.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)))
✓	cost-diff	21184	(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 z (cos.f64 y) (sin.f64 y))
✓	cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	0	(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))
✓	cost-diff	0	(+.f64 z 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

11 474×	`lower-fma.f32`
11 464×	`lower-fma.f64`
3 220×	`lower-*.f32`
3 214×	`lower-*.f64`
2 032×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	156
0	44	141
1	86	141
2	195	141
3	535	141
4	1634	141
5	4780	141
0	8110	141

Stop Event

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

Calls

Call 1

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

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

localize101.0ms (1.1%)

Memory

19.9MiB live, 177.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))))
✓	accuracy	99.7%	(pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))
✓	accuracy	94.8%	(-.f64 (*.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)))
✓	accuracy	56.6%	(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(fma.f64 z (cos.f64 y) (sin.f64 y))
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 z x))
✓	accuracy	99.9%	(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓	accuracy	99.7%	(fma.f64 y #s(literal -1/6 binary64) (*.f64 z #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(+.f64 x (sin.f64 y))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))

Samples

62.0ms	254×	0	valid
3.0ms	2×	3	valid

Compiler

Compiled 173 to 30 computations (82.7% saved)

Precisions

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

ival-mult: 12.0ms (25.9% of total)

ival-cos: 11.0ms (23.7% of total)

ival-add: 7.0ms (15.1% of total)

ival-sin: 5.0ms (10.8% of total)

const: 4.0ms (8.6% of total)

ival-div: 2.0ms (4.3% of total)

ival-pow2: 2.0ms (4.3% of total)

ival-sub: 2.0ms (4.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory

-40.7MiB live, 57.6MiB allocated

Counts

15 → 372

Calls

Call 1

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

Calls

93 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	(+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x))
3.0ms	y	@	-inf	(* (- (* x x) (pow (+ (* z (cos y)) (sin y)) 2)) (/ 1 (- x (+ (* z (cos y)) (sin y)))))
2.0ms	y	@	-inf	(/ 1 (- x (+ (* z (cos y)) (sin y))))
1.0ms	z	@	inf	(/ 1 (- x (+ (* z (cos y)) (sin y))))
1.0ms	z	@	-inf	(+ (* y (+ (* y (+ (* y -1/6) (* z -1/2))) 1)) (+ z x))

rewrite446.0ms (4.8%)

Memory

8.8MiB live, 677.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 294×	`lower-fma.f32`
5 284×	`lower-fma.f64`
4 280×	`lower-*.f32`
4 274×	`lower-*.f64`
4 030×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	113
0	44	98
1	207	98
2	1763	98
0	8654	98

Stop Event

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

Counts

15 → 643

Calls

Call 1

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

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

simplify383.0ms (4.1%)

Memory

34.1MiB live, 541.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 112×	`lower-fma.f64`
7 112×	`lower-fma.f32`
5 148×	`lower-*.f64`
5 148×	`lower-*.f32`
4 466×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	617	5307
1	1928	5154
2	6251	5094
0	8408	4736

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 355

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

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

eval296.0ms (3.2%)

Memory: 11.9MiB live, 288.5MiB allocated
Compiler: Compiled 45 740 to 2 521 computations (94.5% saved)

prune240.0ms (2.6%)

Memory

-34.7MiB live, 286.6MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1 211	22	1 233
Fresh	7	2	9
Picked	2	3	5
Done	0	0	0
Total	1 220	27	1 247

Accuracy

100.0%

Counts

1 247 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
	56.6%	(fma.f64 z (/.f64 x z) z)
	27.5%	(fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)
✓	57.7%	(fma.f64 z (cos.f64 y) (sin.f64 y))
	30.1%	(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
	28.9%	(fma.f64 y (fma.f64 y (.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z #s(literal -1/2 binary64)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))) (.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))
	56.0%	(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (+.f64 z x))
▶	53.6%	(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) (+.f64 z x))
	85.9%	(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
	62.3%	(fma.f64 x (/.f64 z x) x)
▶	33.9%	(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64))
	36.3%	(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
	36.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
	35.9%	(-.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (.f64 x x) (-.f64 z x)))
	57.5%	(+.f64 (sin.f64 y) x)
▶	30.9%	(+.f64 z y)
✓	70.6%	(+.f64 z x)
▶	20.1%	(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
	29.7%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (*.f64 x x)))))
	30.7%	(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64)))))
	23.1%	(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))))
	22.8%	(.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
	36.2%	(.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
	44.0%	(*.f64 z (cos.f64 y))
▶	85.9%	(*.f64 x (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64)))
	2.7%	(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
	16.1%	(sin.f64 y)

Compiler

Compiled 836 to 485 computations (42% saved)

simplify191.0ms (2.1%)

Memory

-12.3MiB live, 180.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 (cos.f64 y) z (sin.f64 y))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))
✓	cost-diff	7104	(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(fma.f64 z (.f64 z z) (.f64 x (*.f64 x x)))
✓	cost-diff	320	(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
✓	cost-diff	0	(+.f64 z x)
✓	cost-diff	0	(*.f64 y #s(literal -1/6 binary64))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal -1/6 binary64)))
✓	cost-diff	0	(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) (+.f64 z x))
✓	cost-diff	0	(+.f64 z y)
✓	cost-diff	0	(fma.f64 z (cos.f64 y) (sin.f64 y))
✓	cost-diff	0	(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
✓	cost-diff	0	(+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64))
✓	cost-diff	1024	(*.f64 x (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64)))

Rules

3 628×	`lower-fma.f32`
3 618×	`lower-fma.f64`
3 094×	`lower-*.f32`
3 080×	`lower-*.f64`
1 920×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	169
0	55	158
1	94	156
2	134	155
3	264	151
4	480	151
5	793	151
6	1643	151
7	3643	151
0	8034	150

Stop Event

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

Calls

Call 1

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

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

localize149.0ms (1.6%)

Memory

-0.1MiB live, 161.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))
✓	accuracy	99.9%	(fma.f64 (cos.f64 y) z (sin.f64 y))
✓	accuracy	99.6%	(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))
✓	accuracy	98.7%	(fma.f64 z (.f64 z z) (.f64 x (*.f64 x x)))
✓	accuracy	63.2%	(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
✓	accuracy	100.0%	(+.f64 z x)
✓	accuracy	100.0%	(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) (+.f64 z x))
✓	accuracy	99.9%	(.f64 y (.f64 y #s(literal -1/6 binary64)))
✓	accuracy	99.7%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	100.0%	(+.f64 z y)
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.9%	(/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)
✓	accuracy	99.9%	(fma.f64 z (cos.f64 y) (sin.f64 y))
✓	accuracy	92.2%	(*.f64 x (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64)))

Samples

50.0ms	141×	0	valid
31.0ms	114×	0	invalid
2.0ms	1×	5	exit

Compiler

Compiled 184 to 35 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 18.0ms (30.9% of total)

ival-div: 10.0ms (17.1% of total)

ival-add: 9.0ms (15.4% of total)

ival-cos: 7.0ms (12% of total)

ival-sin: 5.0ms (8.6% of total)

const: 4.0ms (6.9% of total)

ival-sqrt: 2.0ms (3.4% of total)

ival-pow2: 2.0ms (3.4% of total)

ival-sub: 1.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.4%)

Memory

8.5MiB live, 46.0MiB allocated

Counts

18 → 420

Calls

Call 1

Inputs
#<alt (*.f64 x (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64)))>
#<alt (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64))>
#<alt (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x)>
#<alt (fma.f64 z (cos.f64 y) (sin.f64 y))>
#<alt (+.f64 z y)>
#<alt (fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) (+.f64 z x))>
#<alt (.f64 y (.f64 y #s(literal -1/6 binary64)))>
#<alt (*.f64 y #s(literal -1/6 binary64))>
#<alt (+.f64 z x)>
#<alt (.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))>
#<alt (fma.f64 z (.f64 z z) (.f64 x (*.f64 x x)))>
#<alt (*.f64 z z)>
#<alt (.f64 x (.f64 x x))>
#<alt (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)))>
#<alt (fma.f64 (cos.f64 y) z (sin.f64 y))>
#<alt (cos.f64 y)>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z)))>

Outputs
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt (+ x (+ (sin y) (* z (cos y))))>
#<alt x>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))>
#<alt (* x (+ 1 (/ (sin y) x)))>
#<alt (+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))>
#<alt (+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))>
#<alt (+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))>
#<alt (* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))>
#<alt (* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (+ y (* x (+ 1 (/ z x))))>
#<alt (+ (* x (+ 1 (/ z x))) (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ (* x (+ 1 (/ z x))) (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))>
#<alt (+ 1 (/ (sin y) x))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (/ (* z (cos y)) x)>
#<alt (* z (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))>
#<alt (* z (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))>
#<alt (* z (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))>
#<alt (/ (* z (cos y)) x)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (+ 1 (/ (sin y) x)) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (+ 1 (/ (sin y) x)) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (+ 1 (/ (sin y) x)) z)))))>
#<alt (+ 1 (/ z x))>
#<alt (+ 1 (+ (/ y x) (/ z x)))>
#<alt (+ 1 (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)))>
#<alt (+ 1 (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ x (+ (sin y) (* z (cos y)))) x)>
#<alt (/ (+ x (+ (sin y) (* z (cos y)))) x)>
#<alt (/ (+ x (+ (sin y) (* z (cos y)))) x)>
#<alt 1>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt 1>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))>
#<alt (/ (sin y) x)>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (+ (/ (sin y) x) (/ (* z (cos y)) x))>
#<alt (/ (* z (cos y)) x)>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (* z (+ (/ (cos y) x) (/ (sin y) (* x z))))>
#<alt (/ (* z (cos y)) x)>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))>
#<alt (/ z x)>
#<alt (+ (/ y x) (/ z x))>
#<alt (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))>
#<alt (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (/ (+ (sin y) (* z (cos y))) x)>
#<alt (sin y)>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt z>
#<alt (+ y z)>
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (+ x z)>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (+ (/ x (pow y 3)) (/ z (pow y 3))) 1/6))>
#<alt (* (pow y 3) (- (+ (/ x (pow y 3)) (/ z (pow y 3))) 1/6))>
#<alt (* (pow y 3) (- (+ (/ x (pow y 3)) (/ z (pow y 3))) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ x z) (pow y 3))))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ x z) (pow y 3))))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ x z) (pow y 3))))))>
#<alt (+ x (* -1/6 (pow y 3)))>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt z>
#<alt (* z (+ 1 (+ (* -1/6 (/ (pow y 3) z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* -1/6 (/ (pow y 3) z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* -1/6 (/ (pow y 3) z)) (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* -1/6 (pow y 3))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* -1/6 (pow y 3))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* -1/6 (pow y 3))) z)) 1)))>
#<alt (+ z (* -1/6 (pow y 3)))>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt x>
#<alt (* x (+ 1 (+ (* -1/6 (/ (pow y 3) x)) (/ z x))))>
#<alt (* x (+ 1 (+ (* -1/6 (/ (pow y 3) x)) (/ z x))))>
#<alt (* x (+ 1 (+ (* -1/6 (/ (pow y 3) x)) (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* -1/6 (pow y 3))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* -1/6 (pow y 3))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* -1/6 (pow y 3))) x)) 1)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<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>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z))))>
#<alt (* z (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (* -1 x)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 x)) z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x))))>
#<alt (* x (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) (* -1 z)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 z)) x)) 1)))>
#<alt (pow x 3)>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (pow z 3)>
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))>
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))>
#<alt (* (pow z 3) (+ 1 (/ (pow x 3) (pow z 3))))>
#<alt (pow z 3)>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow x 3) (pow z 3))) 1)))>
#<alt (pow z 3)>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (+ (pow x 3) (pow z 3))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))>
#<alt (* (pow x 3) (+ 1 (/ (pow z 3) (pow x 3))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (pow z 3) (pow x 3))) 1)))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt z>
#<alt (+ y z)>
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (sin y)>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (sqrt z)>
#<alt (+ (sqrt z) (* 1/2 (* y (sqrt (/ 1 z)))))>
#<alt (+ (sqrt z) (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (* (* y (- (* -1/2 z) (* 1/4 (/ 1 z)))) (sqrt (/ 1 z)))))))>
#<alt (+ (sqrt z) (* y (+ (* 1/2 (sqrt (/ 1 z))) (* y (+ (* -1/2 (* (* y (+ 1/6 (* 1/2 (/ (- (* -1/2 z) (* 1/4 (/ 1 z))) z)))) (sqrt (/ 1 z)))) (* 1/2 (* (sqrt (/ 1 z)) (- (* -1/2 z) (* 1/4 (/ 1 z))))))))))>
#<alt (sqrt (+ (sin y) (* z (cos y))))>
#<alt (sqrt (+ (sin y) (* z (cos y))))>
#<alt (sqrt (+ (sin y) (* z (cos y))))>
#<alt (sqrt (+ (sin y) (* z (cos y))))>
#<alt (sqrt (+ (sin y) (* z (cos y))))>
#<alt (sqrt (+ (sin y) (* z (cos y))))>
#<alt (sqrt (+ (sin y) (* z (cos y))))>
#<alt (sqrt (+ (sin y) (* z (cos y))))>
#<alt (sqrt (sin y))>
#<alt (+ (sqrt (sin y)) (* 1/2 (* (* z (cos y)) (sqrt (/ 1 (sin y))))))>
#<alt (+ (sqrt (sin y)) (* z (+ (* -1/8 (* (* z (pow (cos y) 2)) (sqrt (/ 1 (pow (sin y) 3))))) (* 1/2 (* (cos y) (sqrt (/ 1 (sin y))))))))>
#<alt (+ (sqrt (sin y)) (* z (+ (* 1/2 (* (cos y) (sqrt (/ 1 (sin y))))) (* z (+ (* -1/8 (* (pow (cos y) 2) (sqrt (/ 1 (pow (sin y) 3))))) (* 1/16 (* (* z (pow (cos y) 3)) (sqrt (/ 1 (pow (sin y) 5))))))))))>
#<alt (sqrt (* z (cos y)))>
#<alt (* z (+ (sqrt (/ (cos y) z)) (* 1/2 (* (sqrt (/ 1 (* (pow z 3) (cos y)))) (sin y)))))>
#<alt (* z (+ (sqrt (/ (cos y) z)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))) (pow (sin y) 2))) (* 1/2 (* (sqrt (/ 1 (* (pow z 3) (cos y)))) (sin y))))))>
#<alt (* z (+ (sqrt (/ (cos y) z)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))) (pow (sin y) 2))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow z 7) (pow (cos y) 5)))) (pow (sin y) 3))) (* 1/2 (* (sqrt (/ 1 (* (pow z 3) (cos y)))) (sin y)))))))>
#<alt (* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* z (+ (* 1/2 (* (sqrt (/ 1 (* (pow z 3) (cos y)))) (sin y))) (* (sqrt (/ (cos y) z)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))) (/ (pow (sin y) 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow z 3) (cos y)))) (sin y))) (* (sqrt (/ (cos y) z)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow z 5) (pow (cos y) 3)))) (/ (pow (sin y) 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow z 7) (pow (cos y) 5)))) (/ (pow (sin y) 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow z 3) (cos y)))) (sin y))) (* (sqrt (/ (cos y) z)) (pow (sqrt -1) 2)))))))>
#<alt z>
#<alt (+ y z)>
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (sin y)>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (/ 1 (pow z 2))>
#<alt (+ (/ 1 (pow z 2)) (/ x (pow z 3)))>
#<alt (+ (* x (+ (* -1 (/ (pow x 2) (pow z 5))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))>
#<alt (+ (* x (+ (* (pow x 2) (- (* -1 (/ x (pow z 6))) (/ 1 (pow z 5)))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ z x)) (pow x 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow x 2)))) (* -1 (/ z x))) (pow x 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow z 3)) (pow x 3)))) (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 2) (pow x 2))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ z x)) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x)) z) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) x)) (* -1 (/ (pow z 3) x))) (+ (* -1 (pow z 2)) (pow z 2))) x)) z) x))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (+ (/ 1 (pow x 2)) (/ z (pow x 3)))>
#<alt (+ (* z (+ (* -1 (/ (pow z 2) (pow x 5))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))>
#<alt (+ (* z (+ (* (pow z 2) (- (* -1 (/ z (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))>
#<alt (/ 1 (pow z 2))>
#<alt (/ (+ 1 (/ x z)) (pow z 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z))) (pow z 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))) (pow z 2))>
#<alt (/ 1 (pow z 2))>
#<alt (/ (+ 1 (/ x z)) (pow z 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) x) z))) (pow z 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 (/ (pow x 3) z))) (+ (* -1 (pow x 2)) (pow x 2))) z)) x) z))) (pow z 2))>

Calls

105 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	(+ (* y (* y (* y -1/6))) (+ z x))
6.0ms	x	@	0	(* (+ (* z (* z z)) (* x (* x x))) (/ 1 (+ (* x (- x z)) (* z z))))
1.0ms	y	@	inf	(* x (+ (/ (+ (* z (cos y)) (sin y)) x) 1))
1.0ms	z	@	-inf	(sqrt (+ (* (cos y) z) (sin y)))
1.0ms	y	@	-inf	(* x (+ (/ (+ (* z (cos y)) (sin y)) x) 1))

rewrite460.0ms (4.9%)

Memory

9.2MiB live, 321.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 670×	`lower-fma.f32`
5 660×	`lower-fma.f64`
4 686×	`lower-*.f32`
4 672×	`lower-*.f64`
4 192×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	133
0	55	107
1	220	106
2	1536	104
0	8621	102

Stop Event

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

Counts

18 → 658

Calls

Call 1

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

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

simplify427.0ms (4.6%)

Memory

-18.0MiB live, 302.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 594×	`lower-fma.f64`
6 594×	`lower-fma.f32`
4 300×	`lower-*.f64`
4 300×	`lower-*.f32`
2 222×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	477	3840
1	1457	3727
2	4857	3632
0	8496	3368

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 393

Calls

Call 1

Inputs
(+ (sin y) (* z (cos y)))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
(+ x (+ (sin y) (* z (cos y))))
x
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
x
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1)))
(* x (+ 1 (/ (sin y) x)))
(+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))
(+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))
(+ (* x (+ 1 (/ (sin y) x))) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))
(* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))
(* z (+ (cos y) (/ (* x (+ 1 (/ (sin y) x))) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (+ 1 (/ (sin y) x))) z)))))
(* x (+ 1 (/ z x)))
(+ y (* x (+ 1 (/ z x))))
(+ (* x (+ 1 (/ z x))) (* y (+ 1 (* -1/2 (* y z)))))
(+ (* x (+ 1 (/ z x))) (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x))))
(+ 1 (/ (sin y) x))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(/ (* z (cos y)) x)
(* z (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))
(* z (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))
(* z (+ (/ 1 z) (+ (/ (cos y) x) (/ (sin y) (* x z)))))
(/ (* z (cos y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (+ 1 (/ (sin y) x)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (+ 1 (/ (sin y) x)) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (+ 1 (/ (sin y) x)) z)))))
(+ 1 (/ z x))
(+ 1 (+ (/ y x) (/ z x)))
(+ 1 (+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)))
(+ 1 (+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ x (+ (sin y) (* z (cos y)))) x)
(/ (+ x (+ (sin y) (* z (cos y)))) x)
(/ (+ x (+ (sin y) (* z (cos y)))) x)
1
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
1
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))
(/ (sin y) x)
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(+ (/ (sin y) x) (/ (* z (cos y)) x))
(/ (* z (cos y)) x)
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(* z (+ (/ (cos y) x) (/ (sin y) (* x z))))
(/ (* z (cos y)) x)
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z))))))
(/ z x)
(+ (/ y x) (/ z x))
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x))
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x))
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(/ (+ (sin y) (* z (cos y))) x)
(sin y)
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (+ (cos y) (/ (sin y) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))
z
(+ y z)
(+ z (* y (+ 1 (* -1/2 (* y z)))))
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
(+ (sin y) (* z (cos y)))
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+ x z)
(+ x (+ z (* -1/6 (pow y 3))))
(+ x (+ z (* -1/6 (pow y 3))))
(+ x (+ z (* -1/6 (pow y 3))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (+ (/ x (pow y 3)) (/ z (pow y 3))) 1/6))
(* (pow y 3) (- (+ (/ x (pow y 3)) (/ z (pow y 3))) 1/6))
(* (pow y 3) (- (+ (/ x (pow y 3)) (/ z (pow y 3))) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ x z) (pow y 3))))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ x z) (pow y 3))))))
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ x z) (pow y 3))))))
(+ x (* -1/6 (pow y 3)))
(+ x (+ z (* -1/6 (pow y 3))))
(+ x (+ z (* -1/6 (pow y 3))))
(+ x (+ z (* -1/6 (pow y 3))))
z
(* z (+ 1 (+ (* -1/6 (/ (pow y 3) z)) (/ x z))))
(* z (+ 1 (+ (* -1/6 (/ (pow y 3) z)) (/ x z))))
(* z (+ 1 (+ (* -1/6 (/ (pow y 3) z)) (/ x z))))
z
(* -1 (* z (- (* -1 (/ (+ x (* -1/6 (pow y 3))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (* -1/6 (pow y 3))) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ x (* -1/6 (pow y 3))) z)) 1)))
(+ z (* -1/6 (pow y 3)))
(+ x (+ z (* -1/6 (pow y 3))))
(+ x (+ z (* -1/6 (pow y 3))))
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Outputs
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(fma.f64 z (neg.f64 (.f64 z (/.f64 z (pow.f64 x #s(literal 5 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (.f64 x x)))
(+ (* z (+ (* (pow z 2) (- (* -1 (/ z (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))
(fma.f64 z (.f64 z (.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 z (pow.f64 x #s(literal 6 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (*.f64 x x)))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ (+ 1 (/ x z)) (pow z 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 z z))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow z 2)))) (* -1 (/ x z))) (pow z 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 z z))
(/ (- (+ 1 (* -1 (/ (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)) (pow z 3)))) (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 2) (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ (+ 1 (/ x z)) (pow z 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 z z))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) x) z))) (pow z 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 z z))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) z)) (* -1 (/ (pow x 3) z))) (+ (* -1 (pow x 2)) (pow x 2))) z)) x) z))) (pow z 2))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (*.f64 z z))

eval238.0ms (2.6%)

Memory: 25.2MiB live, 250.3MiB allocated
Compiler: Compiled 31 044 to 1 989 computations (93.6% saved)

prune271.0ms (2.9%)

Memory

-13.4MiB live, 276.8MiB allocated

Pruning

41 alts after pruning (36 fresh and 5 done)

	Pruned	Kept	Total
New	1 063	21	1 084
Fresh	4	15	19
Picked	3	2	5
Done	0	3	3
Total	1 070	41	1 111

Accuracy

100.0%

Counts

1 111 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.5%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)
▶	53.6%	(fma.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64)) (+.f64 x z))
▶	85.6%	(fma.f64 (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) x)
✓	99.9%	(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
	56.6%	(fma.f64 z (/.f64 x z) z)
	27.5%	(fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)
✓	57.7%	(fma.f64 z (cos.f64 y) (sin.f64 y))
	30.1%	(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
	28.9%	(fma.f64 y (fma.f64 y (.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z #s(literal -1/2 binary64)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))) (.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))
	18.0%	(fma.f64 y (/.f64 z y) y)
✓	53.6%	(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) (+.f64 z x))
	62.3%	(fma.f64 x (/.f64 z x) x)
	27.7%	(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) z)
	33.7%	(pow.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) #s(literal 2 binary64)) #s(literal 2 binary64))
	26.6%	(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))
	18.0%	(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))
	36.3%	(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
	36.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
	35.9%	(-.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (.f64 x x) (-.f64 z x)))
	57.5%	(+.f64 (sin.f64 y) x)
✓	30.9%	(+.f64 z y)
✓	70.6%	(+.f64 z x)
	13.1%	(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (*.f64 x x)))
	9.7%	(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 z z)))
	13.6%	(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x z) (.f64 z z)) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (*.f64 z z))))
▶	10.7%	(.f64 (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))
	19.4%	(.f64 (/.f64 (+.f64 x z) (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (.f64 x x)))))
	33.2%	(.f64 (/.f64 (+.f64 x z) (.f64 (+.f64 x z) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
	29.7%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (*.f64 x x)))))
	23.1%	(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))))
	17.9%	(.f64 (.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
	36.2%	(.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
	33.2%	(.f64 (.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))
	13.0%	(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (.f64 z z))))
	44.0%	(*.f64 z (cos.f64 y))
	47.6%	(*.f64 x (fma.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x) (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
	30.0%	(.f64 x (/.f64 (.f64 z (cos.f64 y)) x))
	71.9%	(.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) #s(literal 1 binary64)))
▶	43.7%	(*.f64 x #s(literal 1 binary64))
	2.7%	(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
▶	16.1%	(sin.f64 y)

Compiler

Compiled 1 343 to 727 computations (45.9% saved)

simplify341.0ms (3.7%)

Memory

4.7MiB live, 436.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(.f64 z (.f64 z z))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 y (.f64 y y) (.f64 z (*.f64 z z)))
✓	cost-diff	320	(.f64 (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))
✓	cost-diff	0	(+.f64 x z)
✓	cost-diff	0	(*.f64 y #s(literal -1/6 binary64))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64)) (+.f64 x z))
✓	cost-diff	320	(*.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(fma.f64 z (cos.f64 y) (sin.f64 y))
✓	cost-diff	0	(*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
✓	cost-diff	1216	(fma.f64 (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) x)

Rules

6 724×	`lower-fma.f32`
6 714×	`lower-fma.f64`
3 832×	`lower-*.f32`
3 818×	`lower-*.f64`
1 850×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	135
0	46	124
1	87	121
2	188	117
3	390	117
4	769	117
5	1704	117
6	2527	117
7	3684	117
8	5419	117
9	7224	117
0	8023	116

Stop Event

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

Calls

Call 1

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

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

localize106.0ms (1.1%)

Memory

-11.6MiB live, 272.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(.f64 z (.f64 z z))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z)))
✓	accuracy	94.3%	(fma.f64 y (.f64 y y) (.f64 z (*.f64 z z)))
✓	accuracy	35.7%	(.f64 (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))
✓	accuracy	100.0%	(+.f64 x z)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(fma.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64)) (+.f64 x z))
✓	accuracy	99.4%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(fma.f64 z (cos.f64 y) (sin.f64 y))
✓	accuracy	99.8%	(*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))
✓	accuracy	85.6%	(fma.f64 (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) x)

Samples

71.0ms	253×	0	valid
2.0ms	2×	5	exit
2.0ms	1×	4	valid

Compiler

Compiled 147 to 30 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 21.0ms (40.3% of total)

ival-cos: 9.0ms (17.3% of total)

ival-add: 6.0ms (11.5% of total)

ival-sin: 6.0ms (11.5% of total)

const: 5.0ms (9.6% of total)

ival-div: 3.0ms (5.8% of total)

adjust: 1.0ms (1.9% of total)

ival-sub: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

1.6MiB live, 39.4MiB allocated

Counts

14 → 300

Calls

Call 1

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

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 (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 (+ 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) (* 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) (* 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)) (* x (* z (cos y))))>
#<alt (+ (* x (sin y)) (* x (* z (cos y))))>
#<alt (+ (* x (sin y)) (* x (* z (cos y))))>
#<alt (* x (* z (cos y)))>
#<alt (* z (+ (* x (cos y)) (/ (* x (sin y)) z)))>
#<alt (* z (+ (* x (cos y)) (/ (* x (sin y)) z)))>
#<alt (* z (+ (* x (cos y)) (/ (* x (sin y)) z)))>
#<alt (* x (* z (cos y)))>
#<alt (* -1 (* z (+ (* -1 (* x (cos y))) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (cos y))) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (cos y))) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* x z)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x z) (* y (+ x (* -1/2 (* x (* y z))))))>
#<alt (+ (* x z) (* y (+ x (* y (+ (* -1/2 (* x z)) (* -1/6 (* x 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 (sin y)>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (+ (cos y) (/ (sin y) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z)))))>
#<alt z>
#<alt (+ y z)>
#<alt (+ z (* y (+ 1 (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt (+ (sin y) (* z (cos y)))>
#<alt 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>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (+ x z)>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (+ (/ x (pow y 3)) (/ z (pow y 3))) 1/6))>
#<alt (* (pow y 3) (- (+ (/ x (pow y 3)) (/ z (pow y 3))) 1/6))>
#<alt (* (pow y 3) (- (+ (/ x (pow y 3)) (/ z (pow y 3))) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ x z) (pow y 3))))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ x z) (pow y 3))))))>
#<alt (* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ x z) (pow y 3))))))>
#<alt (+ z (* -1/6 (pow y 3)))>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt x>
#<alt (* x (+ 1 (+ (* -1/6 (/ (pow y 3) x)) (/ z x))))>
#<alt (* x (+ 1 (+ (* -1/6 (/ (pow y 3) x)) (/ z x))))>
#<alt (* x (+ 1 (+ (* -1/6 (/ (pow y 3) x)) (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* -1/6 (pow y 3))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* -1/6 (pow y 3))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ z (* -1/6 (pow y 3))) x)) 1)))>
#<alt (+ x (* -1/6 (pow y 3)))>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt (+ x (+ z (* -1/6 (pow y 3))))>
#<alt z>
#<alt (* z (+ 1 (+ (* -1/6 (/ (pow y 3) z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* -1/6 (/ (pow y 3) z)) (/ x z))))>
#<alt (* z (+ 1 (+ (* -1/6 (/ (pow y 3) z)) (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* -1/6 (pow y 3))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* -1/6 (pow y 3))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ x (* -1/6 (pow y 3))) z)) 1)))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* -1/6 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 z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow y 2)))) (* -1 (/ z y))))>
#<alt (* y (- (+ 1 (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ (pow z 2) (pow y 2))))))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y)) (* -1 z)) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) y)) (+ (* -1 (pow z 2)) (pow z 2))) y)) (* -1 z)) y)) 1)))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow z 2)))) (* -1 (/ y z))))>
#<alt (* z (- (+ 1 (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) (pow z 3)))) (+ (* -1 (/ y z)) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ (pow y 2) (pow z 2))))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)) (* -1 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) z)) (+ (* -1 (pow y 2)) (pow y 2))) z)) (* -1 y)) z)) 1)))>
#<alt (pow z 3)>
#<alt (+ (pow y 3) (pow z 3))>
#<alt (+ (pow y 3) (pow z 3))>
#<alt (+ (pow y 3) (pow z 3))>
#<alt (pow y 3)>
#<alt (* (pow y 3) (+ 1 (/ (pow z 3) (pow y 3))))>
#<alt (* (pow y 3) (+ 1 (/ (pow z 3) (pow y 3))))>
#<alt (* (pow y 3) (+ 1 (/ (pow z 3) (pow y 3))))>
#<alt (pow y 3)>
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (pow z 3) (pow y 3))) 1)))>
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (pow z 3) (pow y 3))) 1)))>
#<alt (* -1 (* (pow y 3) (- (* -1 (/ (pow z 3) (pow y 3))) 1)))>
#<alt (pow y 3)>
#<alt (+ (pow y 3) (pow z 3))>
#<alt (+ (pow y 3) (pow z 3))>
#<alt (+ (pow y 3) (pow z 3))>
#<alt (pow z 3)>
#<alt (* (pow z 3) (+ 1 (/ (pow y 3) (pow z 3))))>
#<alt (* (pow z 3) (+ 1 (/ (pow y 3) (pow z 3))))>
#<alt (* (pow z 3) (+ 1 (/ (pow y 3) (pow z 3))))>
#<alt (pow z 3)>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow y 3) (pow z 3))) 1)))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow y 3) (pow z 3))) 1)))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (pow y 3) (pow z 3))) 1)))>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (/ 1 (pow z 2))>
#<alt (+ (/ 1 (pow z 2)) (/ y (pow z 3)))>
#<alt (+ (* y (+ (* -1 (/ (pow y 2) (pow z 5))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))>
#<alt (+ (* y (+ (* (pow y 2) (- (* -1 (/ y (pow z 6))) (/ 1 (pow z 5)))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (/ z y)) (pow y 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) (pow y 2)))) (* -1 (/ z y))) (pow y 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* z (+ (* -1 (pow z 2)) (pow z 2))) (pow z 3)) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ (pow z 2) (pow y 2))))) (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (+ 1 (/ z y)) (pow y 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow z 2) y)) (/ (pow z 2) y)) z) y))) (pow y 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (+ (* -1 (pow z 2)) (pow z 2))) y)) (* -1 (/ (pow z 3) y))) (+ (* -1 (pow z 2)) (pow z 2))) y)) z) y))) (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (+ (/ 1 (pow y 2)) (/ z (pow y 3)))>
#<alt (+ (* z (+ (* -1 (/ (pow z 2) (pow y 5))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))>
#<alt (+ (* z (+ (* (pow z 2) (- (* -1 (/ z (pow y 6))) (/ 1 (pow y 5)))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))>
#<alt (/ 1 (pow z 2))>
#<alt (/ (+ 1 (/ y z)) (pow z 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow z 2)))) (* -1 (/ y z))) (pow z 2))>
#<alt (/ (- (+ 1 (* -1 (/ (+ (* y (+ (* -1 (pow y 2)) (pow y 2))) (pow y 3)) (pow z 3)))) (+ (* -1 (/ y z)) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ (pow y 2) (pow z 2))))) (pow z 2))>
#<alt (/ 1 (pow z 2))>
#<alt (/ (+ 1 (/ y z)) (pow z 2))>
#<alt (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z)) y) z))) (pow z 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) z)) (* -1 (/ (pow y 3) z))) (+ (* -1 (pow y 2)) (pow y 2))) z)) y) z))) (pow z 2))>

Calls

75 calls:

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

rewrite384.0ms (4.1%)

Memory

11.1MiB live, 807.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 944×	`lower-fma.f32`
5 934×	`lower-fma.f64`
4 206×	`lower-/.f32`
4 202×	`lower-/.f64`
3 696×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	99
0	46	85
1	181	85
2	1456	81
0	8338	80

Stop Event

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

Counts

14 → 545

Calls

Call 1

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

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

simplify328.0ms (3.5%)

Memory

6.4MiB live, 762.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 294×	`lower-fma.f64`
10 294×	`lower-fma.f32`
3 858×	`lower-+.f64`
3 858×	`lower-+.f32`
3 186×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	362	2312
1	1126	2210
2	3669	2125
0	8282	1985

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 268

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 (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)))))
(+ 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) (* z (cos y))))
(* x (+ (sin y) (* z (cos y))))
(* x (+ (sin y) (* z (cos y))))
(* x (+ (sin y) (* z (cos y))))
(* x (+ (sin y) (* z (cos y))))
(* x (+ (sin y) (* z (cos y))))
(* x (+ (sin y) (* z (cos y))))
(* x (+ (sin y) (* z (cos y))))
(* x (+ (sin y) (* z (cos y))))
(* x (+ (sin y) (* z (cos y))))
(* x (+ (sin y) (* z (cos y))))
(* x (+ (sin y) (* z (cos y))))
(* x (sin y))
(+ (* x (sin y)) (* x (* z (cos y))))
(+ (* x (sin y)) (* x (* z (cos y))))
(+ (* x (sin y)) (* x (* z (cos y))))
(* x (* z (cos y)))
(* z (+ (* x (cos y)) (/ (* x (sin y)) z)))
(* z (+ (* x (cos y)) (/ (* x (sin y)) z)))
(* z (+ (* x (cos y)) (/ (* x (sin y)) z)))
(* x (* z (cos y)))
(* -1 (* z (+ (* -1 (* x (cos y))) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (* x (cos y))) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (* x (cos y))) (* -1 (/ (* x (sin y)) z)))))
(* x z)
(+ (* x y) (* x z))
(+ (* x z) (* y (+ x (* -1/2 (* x (* y z))))))
(+ (* x z) (* y (+ x (* y (+ (* -1/2 (* x z)) (* -1/6 (* x y)))))))
(* x (+ (sin y) (* z (cos y))))
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Outputs
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1
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eval108.0ms (1.2%)

Memory: 6.9MiB live, 320.2MiB allocated
Compiler: Compiled 24 018 to 1 763 computations (92.7% saved)

prune200.0ms (2.1%)

Memory

-1.4MiB live, 315.6MiB allocated

Pruning

41 alts after pruning (34 fresh and 7 done)

	Pruned	Kept	Total
New	834	11	845
Fresh	8	23	31
Picked	3	2	5
Done	0	5	5
Total	845	41	886

Accuracy

100.0%

Counts

886 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.6%	(fma.f64 (fma.f64 (.f64 x z) (cos.f64 y) (.f64 x (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) x)
	50.5%	(fma.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (cos.f64 y)))))) (/.f64 #s(literal 1 binary64) x) x)
	51.1%	(fma.f64 (/.f64 (.f64 (.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) x) x) (/.f64 #s(literal 1 binary64) x) x)
	72.3%	(fma.f64 (.f64 z (.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) x) x)
	59.6%	(fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x) x)
	5.0%	(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)
✓	53.6%	(fma.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64)) (+.f64 x z))
	50.7%	(fma.f64 (*.f64 x (+.f64 y z)) (/.f64 #s(literal 1 binary64) x) x)
	72.3%	(fma.f64 (.f64 x (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) x) x)
✓	99.9%	(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
	56.6%	(fma.f64 z (/.f64 x z) z)
	27.5%	(fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)
✓	57.7%	(fma.f64 z (cos.f64 y) (sin.f64 y))
	30.1%	(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
	18.0%	(fma.f64 y (/.f64 z y) y)
✓	53.6%	(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) (+.f64 z x))
	62.3%	(fma.f64 x (/.f64 z x) x)
	27.7%	(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) z)
	33.7%	(pow.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) #s(literal 2 binary64)) #s(literal 2 binary64))
	26.6%	(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))
	18.0%	(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))
	36.3%	(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
	43.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	57.5%	(+.f64 (sin.f64 y) x)
✓	30.9%	(+.f64 z y)
✓	70.6%	(+.f64 z x)
	13.1%	(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (*.f64 x x)))
	9.7%	(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 z z)))
	13.6%	(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x z) (.f64 z z)) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (*.f64 z z))))
	19.4%	(.f64 (/.f64 (+.f64 x z) (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (.f64 x x)))))
	33.2%	(.f64 (/.f64 (+.f64 x z) (.f64 (+.f64 x z) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
	36.2%	(.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
	33.2%	(.f64 (.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))
	3.7%	(.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (.f64 z z))))
	44.0%	(*.f64 z (cos.f64 y))
	47.6%	(*.f64 x (fma.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x) (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
	30.0%	(.f64 x (/.f64 (.f64 z (cos.f64 y)) x))
	71.9%	(.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) #s(literal 1 binary64)))
	2.7%	(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
✓	16.1%	(sin.f64 y)
	43.7%	x

Compiler

Compiled 1 706 to 583 computations (65.8% saved)

regimes90.0ms (1%)

Memory

-9.3MiB live, 196.4MiB allocated

Counts

69 → 1

Calls

Call 1

Inputs
x
(+.f64 z x)
(+.f64 z y)
(*.f64 x #s(literal 1 binary64))
(+.f64 y (+.f64 z x))
(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) z)
(fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (/.f64 z y) y)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 z (/.f64 x z) z)
(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) (+.f64 z x))
(fma.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64)) (+.f64 x z))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))
(fma.f64 (*.f64 x (+.f64 y z)) (/.f64 #s(literal 1 binary64) x) 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)) (+.f64 z x))
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)
(.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(.f64 (.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (.f64 z z))))
(.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (.f64 z z))))
(-.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (.f64 x x) (-.f64 z x)))
(.f64 (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(.f64 (.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 z z)))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (*.f64 x x)))
(.f64 (/.f64 (+.f64 x z) (.f64 (+.f64 x z) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(.f64 (/.f64 (+.f64 x z) (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (.f64 x x)))))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x z) (.f64 z z)) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (*.f64 z z))))
(fma.f64 y (fma.f64 y (.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z #s(literal -1/2 binary64)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))) (.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(.f64 x (/.f64 (.f64 z (cos.f64 y)) x))
(.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (.f64 z (.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 z (cos.f64 y) (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)))
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))
(*.f64 x (+.f64 (/.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (fma.f64 (.f64 x z) (cos.f64 y) (.f64 x (sin.f64 y))) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x)
(fma.f64 (/.f64 (.f64 (.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y))) x) x) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (sin.f64 y)))) x)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))))
(.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 z (neg.f64 z))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.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 x (fma.f64 (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) x) (/.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (sin.f64 y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x))
(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z (cos.f64 y) (sin.f64 y)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (.f64 x 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)))) (.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 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 z (cos.f64 y)))))) (/.f64 #s(literal 1 binary64) x) x)
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (*.f64 x x)))))
(.f64 (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) (.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))))))

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

Calls

4 calls:

22.0ms	x
22.0ms	z
22.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
20.0ms	y

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes60.0ms (0.6%)

Memory

8.9MiB live, 128.4MiB allocated

Counts

46 → 3

Calls

Call 1

Inputs
x
(+.f64 z x)
(+.f64 z y)
(*.f64 x #s(literal 1 binary64))
(+.f64 y (+.f64 z x))
(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) z)
(fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (/.f64 z y) y)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 z (/.f64 x z) z)
(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) (+.f64 z x))
(fma.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64)) (+.f64 x z))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))
(fma.f64 (*.f64 x (+.f64 y z)) (/.f64 #s(literal 1 binary64) x) 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)) (+.f64 z x))
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)
(.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(.f64 (.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (.f64 z z))))
(.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (.f64 z z))))
(-.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (.f64 x x) (-.f64 z x)))
(.f64 (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(.f64 (.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 z z)))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (*.f64 x x)))
(.f64 (/.f64 (+.f64 x z) (.f64 (+.f64 x z) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(.f64 (/.f64 (+.f64 x z) (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (.f64 x x)))))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x z) (.f64 z z)) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (*.f64 z z))))
(fma.f64 y (fma.f64 y (.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z #s(literal -1/2 binary64)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))) (.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(.f64 x (/.f64 (.f64 z (cos.f64 y)) x))
(.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (.f64 z (.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 z (cos.f64 y) (sin.f64 y))

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

Calls

4 calls:

16.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
15.0ms	x
14.0ms	y
12.0ms	z

Results

Accuracy	Segments	Branch
97.4%	3	`x`
87.8%	5	`y`
89.7%	5	`z`
90.4%	5	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes44.0ms (0.5%)

Memory

18.0MiB live, 99.6MiB allocated

Counts

45 → 5

Calls

Call 1

Inputs
x
(+.f64 z x)
(+.f64 z y)
(*.f64 x #s(literal 1 binary64))
(+.f64 y (+.f64 z x))
(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) z)
(fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (/.f64 z y) y)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 z (/.f64 x z) z)
(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) (+.f64 z x))
(fma.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64)) (+.f64 x z))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))
(fma.f64 (*.f64 x (+.f64 y z)) (/.f64 #s(literal 1 binary64) x) 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)) (+.f64 z x))
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)
(.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(.f64 (.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (.f64 z z))))
(.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (.f64 z z))))
(-.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (.f64 x x) (-.f64 z x)))
(.f64 (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(.f64 (.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 z z)))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (*.f64 x x)))
(.f64 (/.f64 (+.f64 x z) (.f64 (+.f64 x z) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(.f64 (/.f64 (+.f64 x z) (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (.f64 x x)))))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x z) (.f64 z z)) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (*.f64 z z))))
(fma.f64 y (fma.f64 y (.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z #s(literal -1/2 binary64)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))) (.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(.f64 x (/.f64 (.f64 z (cos.f64 y)) x))
(.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) #s(literal 1 binary64)))
(fma.f64 (.f64 x (.f64 z (cos.f64 y))) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (.f64 z (.f64 (cos.f64 y) x)) (/.f64 #s(literal 1 binary64) x) x)

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
89.7%	5	`z`
92.6%	7	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
85.1%	3	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes29.0ms (0.3%)

Memory

-12.5MiB live, 63.7MiB allocated

Counts

42 → 4

Calls

Call 1

Inputs
x
(+.f64 z x)
(+.f64 z y)
(*.f64 x #s(literal 1 binary64))
(+.f64 y (+.f64 z x))
(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) z)
(fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (/.f64 z y) y)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 z (/.f64 x z) z)
(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) (+.f64 z x))
(fma.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64)) (+.f64 x z))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))
(fma.f64 (*.f64 x (+.f64 y z)) (/.f64 #s(literal 1 binary64) x) 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)) (+.f64 z x))
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)
(.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(.f64 (.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (.f64 z z))))
(.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (.f64 z z))))
(-.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (.f64 x x) (-.f64 z x)))
(.f64 (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(.f64 (.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 z z)))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (*.f64 x x)))
(.f64 (/.f64 (+.f64 x z) (.f64 (+.f64 x z) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(.f64 (/.f64 (+.f64 x z) (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (.f64 x x)))))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x z) (.f64 z z)) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (*.f64 z z))))
(fma.f64 y (fma.f64 y (.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z #s(literal -1/2 binary64)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))) (.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)
(*.f64 z (cos.f64 y))
(.f64 x (/.f64 (.f64 z (cos.f64 y)) x))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
83.8%	5	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
86.7%	4	`z`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes42.0ms (0.4%)

Memory

13.7MiB live, 92.9MiB allocated

Counts

40 → 3

Calls

Call 1

Inputs
x
(+.f64 z x)
(+.f64 z y)
(*.f64 x #s(literal 1 binary64))
(+.f64 y (+.f64 z x))
(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) z)
(fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (/.f64 z y) y)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 z (/.f64 x z) z)
(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) (+.f64 z x))
(fma.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64)) (+.f64 x z))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))
(fma.f64 (*.f64 x (+.f64 y z)) (/.f64 #s(literal 1 binary64) x) 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)) (+.f64 z x))
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)
(.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(.f64 (.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (.f64 z z))))
(.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (.f64 z z))))
(-.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (.f64 x x) (-.f64 z x)))
(.f64 (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(.f64 (.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 z z)))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (*.f64 x x)))
(.f64 (/.f64 (+.f64 x z) (.f64 (+.f64 x z) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(.f64 (/.f64 (+.f64 x z) (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (.f64 x x)))))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x z) (.f64 z z)) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (*.f64 z z))))
(fma.f64 y (fma.f64 y (.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z #s(literal -1/2 binary64)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))) (.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))
(sin.f64 y)
(+.f64 (sin.f64 y) x)

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

Calls

3 calls:

15.0ms	x
13.0ms	z
11.0ms	y

Results

Accuracy	Segments	Branch
82.9%	3	`y`
70.6%	1	`x`
80.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes41.0ms (0.4%)

Memory

-15.0MiB live, 98.4MiB allocated

Counts

39 → 5

Calls

Call 1

Inputs
x
(+.f64 z x)
(+.f64 z y)
(*.f64 x #s(literal 1 binary64))
(+.f64 y (+.f64 z x))
(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) z)
(fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (/.f64 z y) y)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 z (/.f64 x z) z)
(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) (+.f64 z x))
(fma.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64)) (+.f64 x z))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))
(fma.f64 (*.f64 x (+.f64 y z)) (/.f64 #s(literal 1 binary64) x) 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)) (+.f64 z x))
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)
(.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(.f64 (.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (.f64 z z))))
(.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (.f64 z z))))
(-.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (.f64 x x) (-.f64 z x)))
(.f64 (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(.f64 (.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 z z)))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (*.f64 x x)))
(.f64 (/.f64 (+.f64 x z) (.f64 (+.f64 x z) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(.f64 (/.f64 (+.f64 x z) (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (.f64 x x)))))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x z) (.f64 z z)) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (*.f64 z z))))
(fma.f64 y (fma.f64 y (.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z #s(literal -1/2 binary64)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))) (.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))
(sin.f64 y)

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

Calls

3 calls:

13.0ms	z
13.0ms	y
12.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))

Results

Accuracy	Segments	Branch
83.3%	5	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`
70.6%	1	`z`
70.6%	1	`y`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes54.0ms (0.6%)

Memory

-16.2MiB live, 121.2MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
x
(+.f64 z x)
(+.f64 z y)
(*.f64 x #s(literal 1 binary64))
(+.f64 y (+.f64 z x))
(.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)))
(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) z)
(fma.f64 z (.f64 #s(literal -1/2 binary64) (.f64 y y)) z)
(fma.f64 x (/.f64 z x) x)
(fma.f64 y (/.f64 z y) y)
(fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z)
(fma.f64 z (/.f64 x z) z)
(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) (+.f64 z x))
(fma.f64 (.f64 y y) (.f64 y #s(literal -1/6 binary64)) (+.f64 x z))
(+.f64 z (fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) x))
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (+.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (-.f64 z x))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))
(fma.f64 (*.f64 x (+.f64 y z)) (/.f64 #s(literal 1 binary64) x) 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)) (+.f64 z x))
(fma.f64 (.f64 y y) (.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y) y)
(.f64 (.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(.f64 (.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (.f64 z z))))
(.f64 (.f64 y (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (.f64 z z))))
(-.f64 (/.f64 (.f64 z z) (-.f64 z x)) (/.f64 (.f64 x x) (-.f64 z x)))
(.f64 (fma.f64 y (.f64 y y) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y z) (*.f64 z z))))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (*.f64 z z))))
(.f64 (.f64 (+.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 z z)))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (*.f64 x x)))
(.f64 (/.f64 (+.f64 x z) (.f64 (+.f64 x z) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(.f64 (/.f64 (+.f64 x z) (.f64 (fma.f64 z (+.f64 x z) (.f64 x x)) (-.f64 x z))) (/.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (.f64 x x)))))
(.f64 (fma.f64 z (.f64 z z) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (-.f64 x z) (.f64 z z)) (-.f64 (.f64 x (-.f64 x z)) (.f64 z z)))) (-.f64 (.f64 x (-.f64 x z)) (*.f64 z z))))
(fma.f64 y (fma.f64 y (.f64 (fma.f64 (.f64 z (.f64 z z)) #s(literal -1/8 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z #s(literal -1/2 binary64)) (-.f64 (.f64 z #s(literal -1/2 binary64)) (.f64 y #s(literal -1/6 binary64))) (.f64 (*.f64 y y) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (+.f64 z x))

Outputs
(+.f64 z x)

Calls

4 calls:

18.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
12.0ms	y
12.0ms	x
10.0ms	z

Results

Accuracy	Segments	Branch
70.6%	1	`x`
70.6%	1	`y`
70.6%	1	`z`
70.6%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
43.7%	1	`x`
43.7%	1	`y`
43.7%	1	`z`
43.7%	1	`(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch87.0ms (0.9%)

Memory

-27.6MiB live, 53.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
76.0ms	1.3808378551426865e-24	4.991990442472891e-23
9.0ms	-27440946.000013348	-14090435.65958473

Samples

14.0ms

176×

valid

Compiler

Compiled 279 to 201 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sin: 4.0ms (42.1% of total)

ival-cos: 3.0ms (31.6% of total)

ival-add: 2.0ms (21.1% of total)

ival-mult: 1.0ms (10.5% of total)

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

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

bsearch76.0ms (0.8%)

Memory

0.3MiB live, 159.7MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	5.905194513742182e+152	6.724355495847453e+155
15.0ms	1.4753048767827898e-20	2.761912426818277e-19
18.0ms	-4.850698348998807e-21	-2.7532682498730855e-30
21.0ms	-8.511822183531768e+67	-1.2196653783950974e+56

Samples

51.0ms	542×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 763 to 558 computations (26.9% saved)

Precisions

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

ival-sin: 15.0ms (39.3% of total)

ival-cos: 12.0ms (31.5% of total)

ival-add: 7.0ms (18.4% of total)

ival-mult: 4.0ms (10.5% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch46.0ms (0.5%)

Memory

-4.3MiB live, 111.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	5.0489079704807436e+63	7.80373791376813e+69
2.0ms	-4.850698348998807e-21	-2.7532682498730855e-30
22.0ms	-1.0800148228206924e+250	-3.860608597732769e+224

Samples

30.0ms

336×

valid

Compiler

Compiled 459 to 342 computations (25.5% saved)

Precisions

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

ival-sin: 9.0ms (44.1% of total)

ival-cos: 6.0ms (29.4% of total)

ival-add: 3.0ms (14.7% of total)

ival-mult: 2.0ms (9.8% of total)

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

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

bsearch38.0ms (0.4%)

Memory

34.3MiB live, 76.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.2287225423087196e-7	3378.860185238779
18.0ms	-7.12760808663347e+52	-2.2204227299298035e+50

Samples

25.0ms

288×

valid

Compiler

Compiled 321 to 230 computations (28.3% saved)

Precisions

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

ival-sin: 6.0ms (38.2% of total)

ival-cos: 5.0ms (31.9% of total)

ival-add: 3.0ms (19.1% of total)

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

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

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

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.50332704500252e+18	1.4231469445993296e+22
0.0ms	3.1629897939112704e-12	0.15462413804557493
0.0ms	-0.00535304829993067	-0.0012804422681684307
0.0ms	-2.2828650795751136e+28	-0.9531851344570426

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify24.0ms (0.3%)

Memory

-21.8MiB live, 17.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
4×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	205
1	74	205

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -14500000 binary64)) (.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 2381976568446569/85070591730234615865843651857942052864 binary64)) (fma.f64 z (cos.f64 y) (sin.f64 y)) (.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal -85000000000000003770647809827033644538544594897596266814767984803840 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -3157820365026309/21778071482940061661655974875633165533184 binary64)) (.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 5316911983139663/166153499473114484112975882535043072 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 680000000000000040754270995132324622239683393252952321471452761766324537128776175791190143050476709472775153799503535196012180848918881766359214508212224 binary64)) (.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) #s(literal 1 binary64))) (.f64 z (cos.f64 y))))))
(if (<=.f64 z #s(literal -899999999999999981882216629693916039247461150898330092129094784176006496354952924767811692627816233073541328115175377964598213188447096281486341741433797806688911784385323411303600112059583111809864422133376858126866754675431964672 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -1742245718635205/10889035741470030830827987437816582766592 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 385000000000000019169623598621714682363620525810289151927612604416 binary64)) (+.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -225000000000000006782388425387090500352678526189568 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) (+.f64 y (+.f64 z x)) (+.f64 (sin.f64 y) x)))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -19999999999999999166239473664 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -5764607523034235/1152921504606846976 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (+.f64 y (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 2000000000000000000 binary64)) (sin.f64 y) (+.f64 z x)))))
(+.f64 z x)
x

Outputs
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -14500000 binary64)) (.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 2381976568446569/85070591730234615865843651857942052864 binary64)) (fma.f64 z (cos.f64 y) (sin.f64 y)) (.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -14500000 binary64)) (.f64 x (+.f64 (/.f64 (.f64 (cos.f64 y) z) x) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 2381976568446569/85070591730234615865843651857942052864 binary64)) (fma.f64 z (cos.f64 y) (sin.f64 y)) (.f64 x (+.f64 (/.f64 (.f64 (cos.f64 y) z) x) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal -85000000000000003770647809827033644538544594897596266814767984803840 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -3157820365026309/21778071482940061661655974875633165533184 binary64)) (.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 5316911983139663/166153499473114484112975882535043072 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 z #s(literal 680000000000000040754270995132324622239683393252952321471452761766324537128776175791190143050476709472775153799503535196012180848918881766359214508212224 binary64)) (.f64 x (+.f64 (/.f64 (.f64 z (cos.f64 y)) x) #s(literal 1 binary64))) (.f64 z (cos.f64 y))))))
(if (<=.f64 z #s(literal -85000000000000003770647809827033644538544594897596266814767984803840 binary64)) (.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal -3157820365026309/21778071482940061661655974875633165533184 binary64)) (.f64 x (+.f64 (/.f64 (.f64 (cos.f64 y) z) x) #s(literal 1 binary64))) (if (<=.f64 z #s(literal 5316911983139663/166153499473114484112975882535043072 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 z #s(literal 680000000000000040754270995132324622239683393252952321471452761766324537128776175791190143050476709472775153799503535196012180848918881766359214508212224 binary64)) (.f64 x (+.f64 (/.f64 (.f64 (cos.f64 y) z) x) #s(literal 1 binary64))) (.f64 (cos.f64 y) z)))))
(if (<=.f64 z #s(literal -899999999999999981882216629693916039247461150898330092129094784176006496354952924767811692627816233073541328115175377964598213188447096281486341741433797806688911784385323411303600112059583111809864422133376858126866754675431964672 binary64)) (.f64 z (cos.f64 y)) (if (<=.f64 z #s(literal -1742245718635205/10889035741470030830827987437816582766592 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 385000000000000019169623598621714682363620525810289151927612604416 binary64)) (+.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -899999999999999981882216629693916039247461150898330092129094784176006496354952924767811692627816233073541328115175377964598213188447096281486341741433797806688911784385323411303600112059583111809864422133376858126866754675431964672 binary64)) (.f64 (cos.f64 y) z) (if (<=.f64 z #s(literal -1742245718635205/10889035741470030830827987437816582766592 binary64)) (+.f64 z x) (if (<=.f64 z #s(literal 385000000000000019169623598621714682363620525810289151927612604416 binary64)) (+.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -225000000000000006782388425387090500352678526189568 binary64)) (+.f64 (sin.f64 y) x) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) (+.f64 y (+.f64 z x)) (+.f64 (sin.f64 y) x)))
(if (<=.f64 y #s(literal -225000000000000006782388425387090500352678526189568 binary64)) (+.f64 x (sin.f64 y)) (if (<=.f64 y #s(literal 1098878309078401/36028797018963968 binary64)) (+.f64 y (+.f64 z x)) (+.f64 x (sin.f64 y))))
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -19999999999999999166239473664 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal -5764607523034235/1152921504606846976 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (+.f64 y (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 2000000000000000000 binary64)) (sin.f64 y) (+.f64 z x)))))
(if (<=.f64 (+.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) #s(literal -19999999999999999166239473664 binary64)) (+.f64 z x) (if (<=.f64 (+.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) #s(literal -5764607523034235/1152921504606846976 binary64)) (sin.f64 y) (if (<=.f64 (+.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (+.f64 y (+.f64 z x)) (if (<=.f64 (+.f64 (.f64 (cos.f64 y) z) (+.f64 x (sin.f64 y))) #s(literal 2000000000000000000 binary64)) (sin.f64 y) (+.f64 z x)))))
(+.f64 z x)
x

soundness1.1s (11.3%)

Memory

30.7MiB live, 695.6MiB allocated

Rules

11 712×	`lower-fma.f64`
11 712×	`lower-fma.f32`
7 112×	`lower-fma.f64`
7 112×	`lower-fma.f32`
6 594×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	617	5307
1	1928	5154
2	6251	5094
0	8408	4736
0	8	21
0	13	21
1	43	21
2	362	21
3	5548	21
0	8320	20
0	477	3840
1	1457	3727
2	4857	3632
0	8496	3368
0	23	99
0	46	85
1	181	85
2	1456	81
0	8338	80
0	109	647
1	310	643
2	852	633
3	2193	631
4	4247	631
5	7326	631
0	8046	578

Stop Event

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

Compiler

Compiled 389 to 187 computations (51.9% saved)

preprocess87.0ms (0.9%)

Memory: -14.7MiB live, 152.6MiB allocated
Compiler: Compiled 440 to 138 computations (68.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.5s (15.7%)

preprocess67.0ms (0.7%)

explain154.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize41.0ms (0.4%)

series9.0ms (0.1%)

rewrite306.0ms (3.3%)

simplify325.0ms (3.5%)

eval35.0ms (0.4%)

prune39.0ms (0.4%)

simplify333.0ms (3.6%)

localize101.0ms (1.1%)

series36.0ms (0.4%)

rewrite446.0ms (4.8%)

simplify383.0ms (4.1%)

eval296.0ms (3.2%)

prune240.0ms (2.6%)

simplify191.0ms (2.1%)

localize149.0ms (1.6%)

series38.0ms (0.4%)

rewrite460.0ms (4.9%)

simplify427.0ms (4.6%)

eval238.0ms (2.6%)

prune271.0ms (2.9%)

simplify341.0ms (3.7%)

localize106.0ms (1.1%)

series14.0ms (0.2%)

rewrite384.0ms (4.1%)

simplify328.0ms (3.5%)

eval108.0ms (1.2%)

prune200.0ms (2.1%)

regimes90.0ms (1%)

regimes60.0ms (0.6%)

regimes44.0ms (0.5%)

regimes29.0ms (0.3%)

regimes42.0ms (0.4%)

regimes41.0ms (0.4%)

regimes54.0ms (0.6%)

regimes6.0ms (0.1%)

bsearch87.0ms (0.9%)

bsearch76.0ms (0.8%)

bsearch46.0ms (0.5%)

bsearch38.0ms (0.4%)

bsearch1.0ms (0%)

simplify24.0ms (0.3%)

soundness1.1s (11.3%)

preprocess87.0ms (0.9%)

end0.0ms (0%)

Profiling