Metrics for Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, B

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.2s (10.4%)

Memory

-0.5MiB live, 1 959.4MiB allocated

Samples

898.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 589.0ms

ival-sin: 199.0ms (33.8% of total)

ival-cos: 189.0ms (32.1% of total)

ival-mult: 154.0ms (26.1% of total)

ival-add: 38.0ms (6.4% of total)

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

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

Bogosity

preprocess48.0ms (0.4%)

Memory

-17.4MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`associate-r`
160×	`unsub-neg`
142×	`associate-l`
136×	`distribute-lft-neg-in`
110×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	79	81
2	139	81
3	307	81
4	458	81
5	693	81
6	871	81
7	957	81
8	1038	81
9	1104	81
10	1118	81
11	1123	81
12	1125	81
0	8	9
0	13	9
1	16	9
0	16	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)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))

explain124.0ms (1.1%)

Memory

27.4MiB live, 183.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

55.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

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

ival-cos: 13.0ms (34.1% of total)

ival-mult: 11.0ms (28.8% of total)

ival-sin: 11.0ms (28.8% of total)

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

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify8.0ms (0.1%)

Memory

-29.2MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

8×	`lower-fma.f64`
8×	`lower-fma.f32`
8×	`lower-*.f32`
4×	`*-commutative`
4×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	16	24
0	16	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)))
(fma.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)

localize33.0ms (0.3%)

Memory

21.8MiB live, 60.5MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

24.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-sin: 6.0ms (38.4% of total)

ival-cos: 5.0ms (32% of total)

ival-mult: 4.0ms (25.6% of total)

ival-add: 1.0ms (6.4% of total)

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

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

series7.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

4 → 96

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))>

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

Calls

24 calls:

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

simplify396.0ms (3.5%)

Memory

-9.8MiB live, 537.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 960×	`lower-fma.f64`
14 960×	`lower-fma.f32`
4 098×	`lower-*.f64`
4 098×	`lower-*.f32`
2 688×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	626
1	316	622
2	937	612
3	2505	606
4	4416	606
5	7325	606
0	8407	556

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 93

Calls

Call 1

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

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

rewrite779.0ms (6.9%)

Memory

-138.2MiB live, 787.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
4 168×	`lower-*.f32`
4 164×	`lower-*.f64`
4 070×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8391	18

Stop Event

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

Counts

4 → 176

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))

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(+.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.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 (/.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)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (-.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))))))
(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 x (sin.f64 y)) (.f64 (cos.f64 y) (neg.f64 z)))
(-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.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 #s(literal 0 binary64) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (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 (.f64 (.f64 x x) (-.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 (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 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 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))) (/.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 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 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 z z) (+.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)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 z z) (+.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)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 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 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 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 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))) (neg.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (neg.f64 x) (.f64 z (cos.f64 y)))) (neg.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (fma.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (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 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (fma.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (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 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (fma.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (pow.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.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))))) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.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 (pow.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))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.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))))) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.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 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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)))) (/.f64 (.f64 x x) (-.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 (pow.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))))) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.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 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) (/.f64 (.f64 x (.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 (.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 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (.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 z z) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (.f64 (.f64 x x) (-.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))))))
(fma.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.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 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.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 (.f64 x (sin.f64 y))) (/.f64 (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)))))))
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(.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 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 z) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.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))))) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.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 (pow.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (pow.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))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (/.f64 (.f64 x x) (-.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 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 9 binary64))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 y) (.f64 (.f64 x z) (cos.f64 y))) #s(literal 3 binary64))))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z z) (+.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)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.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 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) #s(literal 3 binary64)))) (fma.f64 (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (-.f64 (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))) #s(literal 2 binary64)))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (neg.f64 (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (-.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 (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 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 y) (.f64 (.f64 x z) (cos.f64 y))) #s(literal 3 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z z) (+.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)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 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 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (sin.f64 y))))
(sin.f64 y)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) (neg.f64 z)))
(neg.f64 (*.f64 (cos.f64 y) (neg.f64 z)))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(.f64 #s(literal -1 binary64) (.f64 (cos.f64 y) (neg.f64 z)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))

eval34.0ms (0.3%)

Memory: 31.1MiB live, 67.0MiB allocated
Compiler: Compiled 10 057 to 551 computations (94.5% saved)

prune49.0ms (0.4%)

Memory

-33.7MiB live, 102.5MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	252	17	269
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	253	17	270

Accuracy

99.9%

Counts

270 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.9%	(fma.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.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)))))))
▶	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	56.9%	(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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)))))))
▶	45.8%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (-.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))))))))
▶	19.4%	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64))) (.f64 (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 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
	34.8%	(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.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 z (cos.f64 y)))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
	45.9%	(/.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 x x) (-.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))))
	28.0%	(/.f64 (+.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 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
	47.5%	(.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (/.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))
	45.8%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))))
	27.8%	(.f64 (-.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 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) (pow.f64 (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))))
	51.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
	51.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
▶	53.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
▶	60.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
	40.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))

Compiler

Compiled 1 198 to 540 computations (54.9% saved)

simplify697.0ms (6.2%)

Memory

30.8MiB live, 1 014.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64))) (.f64 (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 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	6144	(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 x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (-.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))))))))
✓	cost-diff	6272	(-.f64 (.f64 (.f64 x x) (-.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))))))
✓	cost-diff	0	(cos.f64 y)
✓	cost-diff	0	(*.f64 z (cos.f64 y))
✓	cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
✓	cost-diff	0	(fma.f64 y x z)
✓	cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
✓	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

29 852×	`lower-fma.f32`
29 846×	`lower-fma.f64`
5 674×	`lower-*.f32`
5 658×	`lower-*.f64`
3 592×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	453
0	67	451
1	119	449
2	276	447
3	879	447
4	3817	438
0	8514	422

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

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

localize322.0ms (2.8%)

Memory

0.0MiB live, 436.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	91.0%	(-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64)))
✓	accuracy	84.5%	(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓	accuracy	80.4%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	29.2%	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64))) (.f64 (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 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
✓	accuracy	97.3%	(-.f64 (.f64 (.f64 x x) (-.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))))))
✓	accuracy	84.5%	(.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))
✓	accuracy	80.4%	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
✓	accuracy	63.1%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (-.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))))))))
✓	accuracy	100.0%	(cos.f64 y)
✓	accuracy	99.8%	(*.f64 z (cos.f64 y))
✓	accuracy	60.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
✓	accuracy	100.0%	(fma.f64 y x z)
✓	accuracy	53.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
✓	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)))
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))

Samples

93.0ms	72×	1	valid
55.0ms	55×	2	valid
46.0ms	128×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 450 to 37 computations (91.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-cos: 55.0ms (39.7% of total)

ival-mult: 23.0ms (16.6% of total)

adjust: 14.0ms (10.1% of total)

ival-add: 12.0ms (8.7% of total)

ival-div: 10.0ms (7.2% of total)

ival-pow: 9.0ms (6.5% of total)

ival-sub: 7.0ms (5.1% of total)

ival-sin: 6.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series101.0ms (0.9%)

Memory

23.7MiB live, 98.2MiB allocated

Counts

16 → 444

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 #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))>
#<alt (fma.f64 y x z)>
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))>
#<alt (*.f64 z (cos.f64 y))>
#<alt (-.f64 (.f64 (.f64 x x) (-.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))))))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (-.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))))))))>
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))>
#<alt (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 x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))>
#<alt (/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64))) (.f64 (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 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))>
#<alt (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))>
#<alt (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64)))>

Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 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 (* 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 (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* z (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)) x)))>
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#<alt (sin y)>
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#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
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#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
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#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow x 3) (sin y))))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))>
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#<alt z>
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#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
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#<alt (+ (* z (- (* z (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
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#<alt (* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))>
#<alt (* -1 (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (* (pow x 4) (pow (sin y) 4))>
#<alt (* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))>
#<alt (* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))>
#<alt (* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))>
#<alt (* (pow x 4) (pow (sin y) 4))>
#<alt (* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))>
#<alt (* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))>
#<alt (* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))>
#<alt (* -1 (pow z 4))>
#<alt (- (* 2 (* (pow y 2) (pow z 4))) (pow z 4))>
#<alt (- (* (pow y 2) (- (* (pow y 2) (- (pow x 4) (* 5/3 (pow z 4)))) (* -2 (pow z 4)))) (pow z 4))>
#<alt (- (* (pow y 2) (- (* (pow y 2) (- (+ (* (pow y 2) (- (* -2/3 (pow x 4)) (* -34/45 (pow z 4)))) (pow x 4)) (* 5/3 (pow z 4)))) (* -2 (pow z 4)))) (pow z 4))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))>
#<alt (* (pow x 4) (pow (sin y) 4))>
#<alt (+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))>
#<alt (+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))>
#<alt (+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))>
#<alt (* -1 (* (pow z 4) (pow (cos y) 4)))>
#<alt (* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))>
#<alt (* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))>
#<alt (* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))>
#<alt (* -1 (* (pow z 4) (pow (cos y) 4)))>
#<alt (* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))>
#<alt (* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))>
#<alt (* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))>

Calls

111 calls:

Time	Variable		Point	Expression
23.0ms	y	@	-inf	(/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y)))))
3.0ms	y	@	inf	(/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y)))))
3.0ms	y	@	inf	(/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))))))
2.0ms	x	@	inf	(/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y)))))
2.0ms	z	@	inf	(/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y)))))

simplify536.0ms (4.7%)

Memory

-33.2MiB live, 504.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 782×	`lower-fma.f64`
8 782×	`lower-fma.f32`
7 522×	`lower-*.f64`
7 522×	`lower-*.f32`
3 952×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	762	9144
1	2778	8837
0	8376	8357

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 433

Calls

Call 1

Inputs
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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 (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (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)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* 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))
(+ (* 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)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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 (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* 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)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x 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 (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* z (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 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2)))) (* 1/2 (cos (* 2 y)))))
(* -1 (pow z 2))
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow x 2)) (* (pow y 2) (- (* 2/45 (pow x 2)) (* -2/45 (pow z 2))))) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y)))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* -1 (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* (pow z 2) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2)) (+ 1/2 (* 1/2 (cos (* 2 y))))))
(/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* x (- (* x (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(+ (* x (- (* x (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (/ (* x (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* x (- (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))
(* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow x 3) (sin y))))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))
(/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))
(* -1 (* x (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))
(* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))
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(/ (* z (pow (cos y) 3)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ (/ (* x (* (pow (cos y) 2) (sin y))) (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
(* z (- (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow x 2) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) (pow z 2))) (/ (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* -1 (/ (* x (* (pow (cos y) 2) (sin y))) (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* z (- (+ (* -1 (/ (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 2) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) (+ (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow x 2) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (cos y)) (/ (* (pow x 3) (* (pow (cos y) 2) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow z 3))) (/ (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* -1 (/ (* x (* (pow (cos y) 2) (sin y))) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* -1 (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (/ (* (pow x 2) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))))))
(/ (* z (pow (cos y) 3)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* -1 (* z (+ (* -1 (/ (* x (* (pow (cos y) 2) (sin y))) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* x (* (pow (cos y) 2) (sin y))) (+ 1/2 (* 1/2 (cos (* 2 y))))))) z)) (* -1 (/ (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 2) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (pow x 3) (* (pow (cos y) 2) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (+ 1/2 (* 1/2 (cos (* 2 y))))))) z)) (* -1 (/ (* x (* (pow (cos y) 2) (sin y))) (+ 1/2 (* 1/2 (cos (* 2 y))))))) z)) (* -1 (/ (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y))))))
(* -1 (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(* (pow x 4) (pow (sin y) 4))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(* (pow x 4) (pow (sin y) 4))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(* (pow x 4) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (pow x 4))) (pow (sin y) 4)))
(* -1 (pow z 4))
(- (* 2 (* (pow y 2) (pow z 4))) (pow z 4))
(- (* (pow y 2) (- (* (pow y 2) (- (pow x 4) (* 5/3 (pow z 4)))) (* -2 (pow z 4)))) (pow z 4))
(- (* (pow y 2) (- (* (pow y 2) (- (+ (* (pow y 2) (- (* -2/3 (pow x 4)) (* -34/45 (pow z 4)))) (pow x 4)) (* 5/3 (pow z 4)))) (* -2 (pow z 4)))) (pow z 4))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(* (pow x 4) (pow (sin y) 4))
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))
(* -1 (* (pow z 4) (pow (cos y) 4)))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(* -1 (* (pow z 4) (pow (cos y) 4)))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))

Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (.f64 y y) (fma.f64 (.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)
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 y (fma.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 y y)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 y y)) #s(literal 1/120 binary64) (*.f64 x #s(literal -1/6 binary64))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(.f64 y (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 x #s(literal 1/120 binary64) (.f64 (.f64 x (.f64 y y)) #s(literal -1/5040 binary64))) (*.f64 x #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (.f64 y (.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) 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))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y)))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x) z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))) (neg.f64 z))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(*.f64 x y)
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* y (+ x (/ z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(neg.f64 (*.f64 (neg.f64 y) (+.f64 x (/.f64 z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(neg.f64 (*.f64 (neg.f64 y) (+.f64 x (/.f64 z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(neg.f64 (*.f64 (neg.f64 y) (+.f64 x (/.f64 z y))))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
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(-.f64 (.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2/3 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 34/45 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -5/3 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 4 binary64))))) (pow.f64 z #s(literal 4 binary64)))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(* (pow x 4) (pow (sin y) 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(+ (* -1 (* (pow z 4) (pow (cos y) 4))) (* (pow x 4) (pow (sin y) 4)))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))))
(* -1 (* (pow z 4) (pow (cos y) 4)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))
(* -1 (* (pow z 4) (pow (cos y) 4)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))
(* (pow z 4) (- (/ (* (pow x 4) (pow (sin y) 4)) (pow z 4)) (pow (cos y) 4)))
(*.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)))))

rewrite578.0ms (5.1%)

Memory

-2.5MiB live, 822.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 352×	`lower-fma.f32`
7 346×	`lower-fma.f64`
4 044×	`lower-*.f32`
4 028×	`lower-*.f64`
3 404×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	229
0	67	156
1	270	119
2	2227	119
0	8265	119

Stop Event

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

Counts

16 → 919

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

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))
(+.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (neg.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))))))
(+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))) (.f64 (neg.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) #s(literal -1 binary64)) (.f64 (log.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64)) (neg.f64 (.f64 z z)) (.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) (/.f64 (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (/.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (/.f64 (/.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
(-.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z (.f64 z #s(literal 1/2 binary64)))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 y y)) (.f64 z z))) (-.f64 (.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 12 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64))))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (/.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 12 binary64)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 (cos.f64 y) (.f64 x (sin.f64 y)))) #s(literal 4 binary64))))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (fma.f64 z (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
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(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 8 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64)))))

eval278.0ms (2.5%)

Memory: 37.4MiB live, 503.3MiB allocated
Compiler: Compiled 98 131 to 3 597 computations (96.3% saved)

prune549.0ms (4.9%)

Memory

9.5MiB live, 403.5MiB allocated

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	1 756	26	1 782
Fresh	11	1	12
Picked	2	3	5
Done	0	0	0
Total	1 769	30	1 799

Accuracy

100.0%

Counts

1 799 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	66.2%	(fma.f64 (cos.f64 y) z #s(approx (* x (sin y)) (*.f64 x y)))
	77.5%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
	45.4%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z (.f64 z #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 y y)) (*.f64 z z))))))
	49.2%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
	34.8%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) #s(approx (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))) (.f64 (.f64 z z) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))))
▶	99.0%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
▶	60.2%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
	26.4%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))) (sin.f64 y)))
	43.3%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (.f64 x (fma.f64 z (/.f64 (.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))))
▶	12.4%	#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z)))) x) z))
	60.1%	#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (/.f64 (.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
	25.2%	#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (/.f64 (.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
	51.9%	#s(approx (+ (* (cos y) z) (* x (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z))
	89.7%	#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
	85.7%	#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
	40.8%	#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 x (sin.f64 y)))
	51.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
✓	53.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	35.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
✓	60.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
	36.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (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)))))
	36.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	36.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))))
	38.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	45.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
	38.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
	45.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
▶	17.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
▶	36.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)))

Compiler

Compiled 1 097 to 634 computations (42.2% saved)

simplify358.0ms (3.2%)

Memory

2.9MiB live, 643.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
✓	cost-diff	0	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
✓	cost-diff	128	(-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (*.f64 z z)))
✓	cost-diff	256	(-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z))))
✓	cost-diff	704	(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (*.f64 x x))))
✓	cost-diff	960	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
✓	cost-diff	0	#s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
✓	cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	#s(approx (+ (* y x) z) (*.f64 x y))
✓	cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓	cost-diff	0	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
✓	cost-diff	13888	(fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))

Rules

11 244×	`lower-fma.f32`
11 230×	`lower-fma.f64`
3 808×	`lower-*.f32`
3 782×	`lower-*.f64`
2 798×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	689
0	120	671
1	261	667
2	700	617
3	2174	588
4	6571	576
0	8137	553

Stop Event

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

Calls

Call 1

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

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

localize482.0ms (4.3%)

Memory

-18.0MiB live, 1 074.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))
✓	accuracy	99.4%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	81.4%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))
✓	accuracy	92.1%	(/.f64 (*.f64 x x) z)
✓	accuracy	76.8%	(-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (*.f64 z z)))
✓	accuracy	68.9%	#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z)))) x) z))
✓	accuracy	66.0%	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z))
✓	accuracy	99.9%	(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
✓	accuracy	94.2%	(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
✓	accuracy	81.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)))
✓	accuracy	68.9%	#s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	70.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
✓	accuracy	64.1%	#s(approx (+ (* y x) z) (*.f64 x y))
✓	accuracy	99.8%	(.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
✓	accuracy	99.8%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))
✓	accuracy	99.4%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))

Samples

129.0ms	61×	1	valid
100.0ms	43×	5	exit
58.0ms	98×	0	valid
43.0ms	31×	2	exit
29.0ms	1×	3	exit
15.0ms	21×	1	exit
5.0ms	1×	4	exit

Compiler

Compiled 587 to 75 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 327.0ms

adjust: 96.0ms (29.4% of total)

ival-mult: 64.0ms (19.6% of total)

ival-div: 56.0ms (17.1% of total)

ival-cos: 36.0ms (11% of total)

ival-add: 21.0ms (6.4% of total)

ival-sub: 18.0ms (5.5% of total)

ival-pow: 11.0ms (3.4% of total)

ival-sin: 10.0ms (3.1% of total)

const: 7.0ms (2.1% of total)

ival-pow2: 4.0ms (1.2% of total)

ival-neg: 3.0ms (0.9% of total)

exact: 1.0ms (0.3% of total)

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

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

series58.0ms (0.5%)

Memory

-4.6MiB live, 153.8MiB allocated

Counts

24 → 600

Calls

Call 1

Inputs
#<alt (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))>
#<alt #s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))>
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))>
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))>
#<alt #s(approx (+ (* y x) z) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)))>
#<alt #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z))>
#<alt (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)>
#<alt (*.f64 y y)>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (*.f64 x x))))>
#<alt (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z))))>
#<alt (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (*.f64 z z)))>
#<alt #s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y)))>
#<alt (/.f64 (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (cos.f64 y))>
#<alt (.f64 z (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))>
#<alt (pow.f64 (cos.f64 y) #s(literal 2 binary64))>
#<alt (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))>
#<alt (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))>
#<alt #s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z)))) x) z))>
#<alt (/.f64 (*.f64 x x) z)>

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

Calls

150 calls:

Time	Variable		Point	Expression
9.0ms	z	@	0	(+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* x (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
4.0ms	x	@	inf	(- (neg (/ (* x x) z)) (/ (- (* 1/2 (* z (* z z))) (* z (+ (* z (neg z)) (* x x)))) (* z z)))
2.0ms	y	@	inf	(+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* x (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))
2.0ms	y	@	inf	(/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))
2.0ms	y	@	-inf	(+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* x (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2)))

simplify417.0ms (3.7%)

Memory

1.9MiB live, 757.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 188×	`lower-fma.f64`
9 188×	`lower-fma.f32`
7 470×	`lower-*.f64`
7 470×	`lower-*.f32`
3 980×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	796	11586
1	2937	11068
0	8703	10433

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 586

Calls

Call 1

Inputs
(/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2))
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(+ (* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)))
(* z (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (* 1/2 (/ 1 (cos y)))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))
(* z (+ (* 1/2 (/ 1 (cos y))) (+ (* 1/2 (/ (cos (* -2 y)) (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2))))))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
(* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* -2 y)))) (cos y))))))
z
(+ z (* x y))
(+ z (* y (+ x (* y (- (* -1 z) (* -1/2 z))))))
(+ z (* y (+ x (* y (- (+ (* -1 z) (* y (- (* -7/6 x) (* -1 x)))) (* -1/2 z))))))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* -2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y)))
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(* x (- (+ (* -1 (/ (+ (* -1 (/ (* (pow z 3) (* (cos y) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (+ (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (- 1/2 (* 1/2 (cos (* 2 y)))))) (/ (* (pow z 2) (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (sin y)) (/ (* (pow z 3) (* (cos y) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (pow x 3))) (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (+ (* -1 (/ (* z (* (cos y) (pow (sin y) 2))) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))) (/ (* (pow z 2) (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))))
(/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))
(* -1 (* x (+ (* -1 (/ (* z (* (cos y) (pow (sin y) 2))) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* z (* (cos y) (pow (sin y) 2))) (- 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* -1 (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* z (* (cos y) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (* x (sin y)))) (+ (* -1 (/ (* (pow z 3) (* (cos y) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (pow z 3) (* (cos y) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (+ (* -1 (/ (* (pow z 2) (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (sin y))) (- 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* -1 (/ (* z (* (cos y) (pow (sin y) 2))) (- 1/2 (* 1/2 (cos (* 2 y))))))) x)) (* -1 (/ (pow (sin y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))))))
z
(+ z (* x y))
(+ z (* y (- (* y (- (* -2 z) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -2 z) (* -1 (* y (+ (* -1 (/ (* x (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3)))) (pow z 3))) (+ (* -1 (/ (* x (- (* -2 z) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) z)) (* -1 (/ (+ (* -1/6 (* x (pow z 2))) (* x (+ (* -1 (pow z 2)) (pow x 2)))) (pow z 2)))))))) (+ (* -1 (/ (+ (* -1 (* z (+ (* -1 (pow z 2)) (pow x 2)))) (* 1/2 (pow z 3))) (pow z 2))) (* -1 (/ (pow x 2) z))))) (* -1 x))))
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y)))))
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y)))))
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y)))))
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y)))))
(/ (- (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 4))) (* (+ (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y)))))
(/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y)))))
(+ (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (* (cos y) (pow (sin y) 2))) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (* (pow (cos y) 2) (sin y)) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (pow (sin y) 2)) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (cos y) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (+ (/ (* (cos y) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (cos y) (+ (* -1 (/ (* (pow (cos y) 2) (sin y)) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (* x (sin y))))))) (+ (* -1 (/ (* (pow (cos y) 2) (sin y)) (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (/ (* (pow (sin y) 3) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (- 1/2 (* 1/2 (cos (* 2 y)))) 2)))))) (* -1 (/ (* (cos y) (pow (sin y) 2)) (- 1/2 (* 1/2 (cos (* 2 y)))))))) (/ (* x (pow (sin y) 3)) (- 1/2 (* 1/2 (cos (* 2 y))))))
(/ (* z (pow (cos y) 3)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ (/ (* x (* (pow (cos y) 2) (sin y))) (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (/ (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))))
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(/ (* z (pow (cos y) 3)) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* -1 (* z (+ (* -1 (/ (* x (* (pow (cos y) 2) (sin y))) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))) (* -1 (/ (* x (* (pow (cos y) 2) (sin y))) (+ 1/2 (* 1/2 (cos (* 2 y))))))) z)) (* -1 (/ (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (sin y) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (+ 1/2 (* 1/2 (cos (* 2 y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow x 3) (* (pow (cos y) 2) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2)))) (/ (* (pow x 3) (* (pow (cos y) 2) (* (sin y) (- 1/2 (* 1/2 (cos (* 2 y))))))) (* z (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))))) (+ (* -1 (/ (* (pow x 2) (* (pow (cos y) 3) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (+ 1/2 (* 1/2 (cos (* 2 y)))) 2))) (/ (* (pow x 2) (* (cos y) (pow (sin y) 2))) (+ 1/2 (* 1/2 (cos (* 2 y))))))) z)) (* -1 (/ (* x (* (pow (cos y) 2) (sin y))) (+ 1/2 (* 1/2 (cos (* 2 y))))))) z)) (* -1 (/ (pow (cos y) 3) (+ 1/2 (* 1/2 (cos (* 2 y)))))))))
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)
(/ (pow x 2) z)

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

rewrite404.0ms (3.6%)

Memory

20.2MiB live, 603.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 272×	`lower-*.f32`
5 246×	`lower-*.f64`
5 138×	`lower-fma.f32`
5 124×	`lower-fma.f64`
2 316×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	502
0	120	492
1	545	386
2	5089	382
0	8562	370

Stop Event

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

Counts

24 → 442

Calls

Call 1

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

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

eval190.0ms (1.7%)

Memory: -24.9MiB live, 265.2MiB allocated
Compiler: Compiled 37 463 to 2 533 computations (93.2% saved)

prune125.0ms (1.1%)

Memory

31.2MiB live, 271.0MiB allocated

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	1 090	16	1 106
Fresh	7	15	22
Picked	4	1	5
Done	0	3	3
Total	1 101	35	1 136

Accuracy

100.0%

Counts

1 136 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	66.2%	(fma.f64 (cos.f64 y) z #s(approx (* x (sin y)) (*.f64 x y)))
	77.5%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
	49.2%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))
	49.6%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (sin.f64 y)) (/.f64 (.f64 (.f64 (cos.f64 y) z) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
	60.2%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (fma.f64 (.f64 z (cos.f64 (.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64) (*.f64 z #s(literal 1/2 binary64))) (cos.f64 y)))
	25.2%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (cos.f64 y)))
	26.4%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (sin.f64 y)))
	60.2%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 z (/.f64 (cos.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
▶	60.2%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
▶	36.5%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z)))
	36.8%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)))
	51.9%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* x (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z)))
	40.5%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* x (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (/.f64 (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
	12.7%	#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 #s(approx (- (* 1/2 (* z (* z z))) (* z (+ (* z (neg z)) (* x x)))) (.f64 (.f64 z (.f64 z z)) #s(literal 3/2 binary64))) (.f64 z z)))) x) z))
	25.2%	#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (/.f64 (.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
▶	89.7%	#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
	85.7%	#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
	40.8%	#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 x (sin.f64 y)))
	51.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
✓	53.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	35.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
✓	60.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
	36.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (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)))))
	36.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
	36.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))))
▶	38.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	45.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
	38.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
	45.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
✓	17.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
	36.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 z #s(literal -1/2 binary64))) z)))
	36.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y #s(literal 1/24 binary64)) y #s(literal -1/2 binary64))) z)))
▶	36.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)))
	36.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) #s(approx ( z (+ (* (* y y) 1/24) -1/2)) (.f64 #s(literal 1/24 binary64) (.f64 z (*.f64 y y)))) z)))

Compiler

Compiled 1 183 to 688 computations (41.8% saved)

simplify365.0ms (3.2%)

Memory

-18.1MiB live, 574.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f64 (*.f64 y #s(literal -2 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
✓	cost-diff	0	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
✓	cost-diff	0	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z)))
✓	cost-diff	320	(fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	384	(fma.f64 z #s(literal 1/24 binary64) (*.f64 #s(literal 1/4 binary64) z))
✓	cost-diff	512	(-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)
✓	cost-diff	0	#s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z))
✓	cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)))
✓	cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
✓	cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 (sin.f64 y) z)
✓	cost-diff	0	(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
✓	cost-diff	0	#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
✓	cost-diff	704	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))

Rules

14 452×	`lower-fma.f32`
14 440×	`lower-fma.f64`
4 468×	`lower-*.f32`
4 448×	`lower-*.f64`
2 428×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	467
0	101	466
1	201	444
2	465	420
3	1202	419
4	4105	411
0	8268	395

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
z
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
x
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
z
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)))
#s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z))
(fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)
(*.f64 y y)
y
(.f64 z #s(approx (+ ( (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64))))
z
#s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z)
(*.f64 y y)
y
(fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (.f64 z #s(literal -1/2 binary64)))
(-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z)))
(*.f64 z #s(literal 1/3 binary64))
z
#s(literal 1/3 binary64)
(fma.f64 z #s(literal 1/24 binary64) (*.f64 #s(literal 1/4 binary64) z))
#s(literal 1/24 binary64)
(*.f64 #s(literal 1/4 binary64) z)
#s(literal 1/4 binary64)
(*.f64 z #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(/.f64 z (cos.f64 y))
z
(cos.f64 y)

Outputs
#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
#s(approx (+ (* (cos y) z) (* x (sin y))) (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
z
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
x
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
(cos.f64 y)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
z
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)))
#s(approx (+ (* (cos y) z) (* x (sin y))) #s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 z (.f64 y y)) z)))
#s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z))
#s(approx (* z (cos y)) (fma.f64 #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 z (.f64 y y)) z))
(fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)
(fma.f64 #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64))) (.f64 z (.f64 y y)) z)
(*.f64 y y)
y
(.f64 z #s(approx (+ ( (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64))))
z
#s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)))
#s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z))
#s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z)
(fma.f64 (.f64 y y) (.f64 z (fma.f64 y (*.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) z)
(*.f64 y y)
y
(fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (.f64 z #s(literal -1/2 binary64)))
(.f64 z (fma.f64 y (.f64 y #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z)))
(*.f64 z #s(literal 1/24 binary64))
(*.f64 z #s(literal 1/3 binary64))
z
#s(literal 1/3 binary64)
(fma.f64 z #s(literal 1/24 binary64) (*.f64 #s(literal 1/4 binary64) z))
(*.f64 z #s(literal 7/24 binary64))
#s(literal 1/24 binary64)
(*.f64 #s(literal 1/4 binary64) z)
(*.f64 z #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 z #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(*.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(/.f64 z (cos.f64 y))
z
(cos.f64 y)

localize397.0ms (3.5%)

Memory

14.7MiB live, 456.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 z (cos.f64 y))
✓	accuracy	99.8%	(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
✓	accuracy	99.4%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓	accuracy	66.6%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
✓	accuracy	98.1%	(-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z)))
✓	accuracy	90.9%	(fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (.f64 z #s(literal -1/2 binary64)))
✓	accuracy	66.6%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z)))
✓	accuracy	58.6%	#s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z))
✓	accuracy	90.9%	(.f64 z #s(approx (+ ( (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64))))
✓	accuracy	66.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)))
✓	accuracy	58.6%	#s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z))
✓	accuracy	57.0%	#s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))
✓	accuracy	99.8%	(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
✓	accuracy	66.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
✓	accuracy	62.1%	#s(approx (cos y) #s(literal 1 binary64))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
✓	accuracy	99.8%	(/.f64 (sin.f64 y) z)
✓	accuracy	91.3%	(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))

Samples

110.0ms	171×	0	valid
95.0ms	35×	5	exit
49.0ms	50×	1	valid

Compiler

Compiled 323 to 61 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-mult: 50.0ms (29.3% of total)

ival-cos: 31.0ms (18.2% of total)

adjust: 23.0ms (13.5% of total)

const: 21.0ms (12.3% of total)

ival-add: 21.0ms (12.3% of total)

ival-div: 12.0ms (7% of total)

ival-sub: 6.0ms (3.5% of total)

ival-sin: 6.0ms (3.5% of total)

exact: 1.0ms (0.6% of total)

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

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

series43.0ms (0.4%)

Memory

-7.2MiB live, 70.7MiB allocated

Counts

24 → 564

Calls

Call 1

Inputs
#<alt (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))>
#<alt #s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))>
#<alt (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))>
#<alt (/.f64 (sin.f64 y) z)>
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))>
#<alt (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))>
#<alt #s(approx (cos y) #s(literal 1 binary64))>
#<alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)))>
#<alt #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z))>
#<alt (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)>
#<alt (*.f64 y y)>
#<alt (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z)))>
#<alt (fma.f64 z #s(literal 1/24 binary64) (*.f64 #s(literal 1/4 binary64) z))>
#<alt (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (.f64 z #s(literal -1/2 binary64)))>
#<alt #s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z)))>
#<alt #s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))>
#<alt (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))>
#<alt (cos.f64 (*.f64 y #s(literal -2 binary64)))>
#<alt (sin.f64 y)>
#<alt #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))>
#<alt (.f64 z #s(approx (+ ( (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64))))>
#<alt #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z))>
#<alt (/.f64 z (cos.f64 y))>

Outputs
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* z (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)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 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 (* 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 (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* z (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)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (cos y)>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (/ (* x (sin y)) z)>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (* x (+ (/ (cos y) x) (/ (sin y) z)))>
#<alt (/ (* x (sin y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))>
#<alt 1>
#<alt (+ 1 (/ (* x y) z))>
#<alt (+ 1 (* y (+ (* -1/2 y) (/ x z))))>
#<alt (+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))>
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#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (+ (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (/ (* x (* (sin y) (- (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3))))))) (* z (cos y)))) (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* x (- (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* 1/2 (/ 1 (sin y)))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* 1/2 (/ 1 (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3)))))) (* (pow x 3) (sin y))))) (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow x 2) (pow (sin y) 3)))) (* 1/2 (/ (cos (* 2 y)) (sin y)))))))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (* -1 (* x (+ (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (* x (pow (sin y) 2)))) (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1/2 (* 1/2 (cos (* 2 y)))) (sin y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 3))) x)) (* -1 (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))>
#<alt (+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))>
#<alt (/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (- (* (pow x 2) (- 1/2 (* 1/2 (cos (neg (* -2 y)))))) (* (pow z 2) (+ 1/2 (* 1/2 (cos (neg (* -2 y))))))) (- (* x (sin y)) (* z (cos y))))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt z>
#<alt (+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt (+ 1/2 (* 1/2 (cos (* -2 y))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 y))>
#<alt (cos (* -2 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 -1/2>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (- (* 1/24 (pow y 2)) 1/2)>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* 1/24 (pow y 2))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* z (- (* 1/24 (pow y 2)) 1/2))>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (* 1/24 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* 1/24 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt z>
#<alt (+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt z>
#<alt (+ z (* 1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))>
#<alt (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 z) (+ (* 1/48 z) (* 1/2 (+ (* -1/4 z) (* 1/24 z))))))) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>
#<alt (/ z (cos y))>

Calls

141 calls:

Time	Variable		Point	Expression
12.0ms	z	@	-inf	(+ (* (* y y) (- (* z 1/3) (+ (* z 1/24) (* 1/4 z)))) (* z -1/2))
3.0ms	z	@	-inf	(/ z (cos y))
3.0ms	z	@	-inf	(+ (* x (/ (sin y) z)) (cos y))
2.0ms	z	@	inf	(* z (+ (* x (/ (sin y) z)) (cos y)))
1.0ms	y	@	inf	(* z (+ (* x (/ (sin y) z)) (cos y)))

simplify470.0ms (4.2%)

Memory

-2.4MiB live, 596.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 940×	`lower-fma.f64`
8 940×	`lower-fma.f32`
7 212×	`lower-*.f64`
7 212×	`lower-*.f32`
2 308×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	498	8307
1	1668	7785
2	6024	7744
0	8575	7118

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 551

Calls

Call 1

Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
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(+ (* x (sin y)) (* z (cos y)))
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z
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1
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(/ (sin y) z)
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(/ (sin y) z)
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1
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(cos y)
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(cos y)
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(* z (cos y))
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z
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z
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(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* -2 y))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 2/3 (pow y 2)) 2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 2/3 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/3 (* -4/45 (pow y 2)))) 2)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(cos (* -2 y))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (.f64 y (.f64 y #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (.f64 y y) (.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow y 2)) 1/2)
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(- (* 1/24 (pow y 2)) 1/2)
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(- (* 1/24 (pow y 2)) 1/2)
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(* 1/24 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) y) y)
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) y) y)
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) y) y)
(* 1/24 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/24 binary64))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) y) y)
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) y) y)
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(.f64 (.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) y) y)
(* z (- (* 1/24 (pow y 2)) 1/2))
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* z (- (* 1/24 (pow y 2)) 1/2))
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* -1/2 z)
(*.f64 z #s(literal -1/2 binary64))
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(.f64 z (fma.f64 (.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* 1/24 (* (pow y 2) z))
(.f64 z (.f64 (*.f64 y y) #s(literal 1/24 binary64)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(.f64 (.f64 y y) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 z #s(literal 1/24 binary64))))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(.f64 (.f64 y y) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 z #s(literal 1/24 binary64))))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(.f64 (.f64 y y) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 z #s(literal 1/24 binary64))))
(* 1/24 (* (pow y 2) z))
(.f64 z (.f64 (*.f64 y y) #s(literal 1/24 binary64)))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(.f64 (.f64 y y) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 z #s(literal 1/24 binary64))))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(.f64 (.f64 y y) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 z #s(literal 1/24 binary64))))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(.f64 (.f64 y y) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (.f64 y y)) (.f64 z #s(literal 1/24 binary64))))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
z
(+ z (* (pow y 2) (- (* -1 z) (* -1/2 z))))
(fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))
(fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)
(+ z (* (pow y 2) (- (+ (* -1 z) (* (pow y 2) (- (+ (* 1/3 z) (* (pow y 2) (- (* -2/45 z) (+ (* -1/2 (- (* 1/3 z) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z)))) (+ (* -1/720 z) (* 1/24 (- (* -1 z) (* -1/2 z)))))))) (+ (* -1/2 (- (* -1 z) (* -1/2 z))) (* 1/24 z))))) (* -1/2 z))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal -2/45 binary64)) (fma.f64 z #s(literal -1/48 binary64) (fma.f64 z #s(literal -1/720 binary64) (.f64 z #s(literal -1/48 binary64))))) (.f64 z #s(literal 1/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(/ (* z (+ 1/2 (* 1/2 (cos (* -2 y))))) (cos y))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.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 (cos y))
(/.f64 z (cos.f64 y))
z
(+ z (* 1/2 (* (pow y 2) z)))
(fma.f64 z (.f64 #s(literal 1/2 binary64) (.f64 y y)) z)
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 z (.f64 y y)) #s(literal 5/24 binary64) (.f64 z #s(literal 1/2 binary64))) z)
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/720 z) (+ (* 1/48 z) (* 1/2 (+ (* -1/4 z) (* 1/24 z))))))) (+ (* -1/4 z) (* 1/24 z)))) (* -1/2 z))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 y (neg.f64 y)) (fma.f64 z #s(literal 7/360 binary64) (.f64 z #s(literal -5/48 binary64))) (.f64 z #s(literal 5/24 binary64))) (.f64 z #s(literal 1/2 binary64))) z)
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))
(/ z (cos y))
(/.f64 z (cos.f64 y))

rewrite470.0ms (4.2%)

Memory

-5.1MiB live, 527.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 014×	`lower-*.f32`
4 994×	`lower-*.f64`
4 214×	`lower-fma.f32`
4 202×	`lower-fma.f64`
3 414×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	403
0	101	403
1	404	328
2	3186	328
0	8732	314

Stop Event

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

Counts

24 → 356

Calls

Call 1

Inputs
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))
(/.f64 (sin.f64 y) z)
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)))
#s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z))
(fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)
(*.f64 y y)
(-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z)))
(fma.f64 z #s(literal 1/24 binary64) (*.f64 #s(literal 1/4 binary64) z))
(fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (.f64 z #s(literal -1/2 binary64)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(sin.f64 y)
#s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))
(.f64 z #s(approx (+ ( (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64))))
#s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z))
(/.f64 z (cos.f64 y))

Outputs
(+.f64 (.f64 z (cos.f64 y)) (.f64 (/.f64 (sin.f64 y) z) (*.f64 x z)))
(+.f64 (.f64 (/.f64 (sin.f64 y) z) (.f64 x z)) (*.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) (.f64 x z)))
(fma.f64 z (.f64 x (/.f64 (sin.f64 y) z)) (.f64 z (cos.f64 y)))
(fma.f64 x (.f64 (/.f64 (sin.f64 y) z) z) (.f64 z (cos.f64 y)))
(fma.f64 (/.f64 (sin.f64 y) z) (.f64 x z) (.f64 z (cos.f64 y)))
(fma.f64 (cos.f64 y) z (.f64 (/.f64 (sin.f64 y) z) (.f64 x z)))
(fma.f64 (.f64 x (/.f64 (sin.f64 y) z)) z (.f64 z (cos.f64 y)))
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(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/4 binary64))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(.f64 (+.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(cos.f64 (*.f64 y #s(literal -2 binary64)))
(sin.f64 y)
#s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))
(.f64 z #s(approx (+ ( (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64))))
(.f64 #s(approx (+ ( (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64))) z)
#s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 z #s(literal 7/24 binary64) (.f64 #s(literal -1/4 binary64) z)) (.f64 z #s(literal -1/2 binary64)))) z))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 y) z)) #s(literal -1 binary64)))
(neg.f64 (/.f64 z (neg.f64 (cos.f64 y))))
(neg.f64 (/.f64 (neg.f64 z) (cos.f64 y)))
(/.f64 z (cos.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 y) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 y) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 y) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 z) (neg.f64 (cos.f64 y)))
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 (cos.f64 y))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (cos.f64 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 y)))))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (cos.f64 y)))
(pow.f64 (/.f64 (cos.f64 y) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 y) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) (cos.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 z (cos.f64 y)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z)
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))

eval166.0ms (1.5%)

Memory: 22.2MiB live, 285.2MiB allocated
Compiler: Compiled 22 118 to 1 518 computations (93.1% saved)

prune140.0ms (1.2%)

Memory

-37.3MiB live, 257.0MiB allocated

Pruning

40 alts after pruning (32 fresh and 8 done)

	Pruned	Kept	Total
New	947	14	961
Fresh	8	18	26
Picked	1	4	5
Done	0	4	4
Total	956	40	996

Accuracy

100.0%

Counts

996 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
	66.2%	(fma.f64 (cos.f64 y) z #s(approx (* x (sin y)) (*.f64 x y)))
	77.5%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
	60.2%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (fma.f64 (.f64 z (cos.f64 (.f64 y #s(literal -2 binary64)))) #s(literal 1/2 binary64) (*.f64 z #s(literal 1/2 binary64))) (cos.f64 y)))
	25.3%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) z) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))))
	26.4%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (sin.f64 y)))
	60.2%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 z (/.f64 (cos.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
✓	60.2%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 z (cos.f64 y))))
	26.0%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 y))))
	36.5%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (fma.f64 z #s(literal 7/24 binary64) (.f64 #s(literal -1/4 binary64) z)) (.f64 y y) (.f64 z #s(literal -1/2 binary64))) z)))
	23.3%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 z #s(literal 7/24 binary64)) (.f64 z #s(literal -5/24 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z #s(literal -5/24 binary64))) (.f64 #s(literal -1/4 binary64) z)) (.f64 z #s(literal -1/2 binary64))) z)))
	36.5%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/3 binary64) (neg.f64 (.f64 z #s(literal 7/24 binary64)))) (.f64 z #s(literal -1/2 binary64))) z)))
	22.1%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (/.f64 (-.f64 (.f64 (.f64 z z) #s(literal 1/9 binary64)) (.f64 (.f64 z z) #s(literal 1/576 binary64))) (fma.f64 z #s(literal 1/3 binary64) (.f64 z #s(literal 1/24 binary64))))) (*.f64 z #s(literal -1/2 binary64))) z)))
	23.0%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (/.f64 (.f64 (.f64 z #s(literal 7/24 binary64)) (.f64 z #s(literal -5/24 binary64))) (.f64 z #s(literal -5/24 binary64)))) (.f64 z #s(literal -1/2 binary64))) z)))
	36.5%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 7/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
	36.5%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 7/24 binary64)) (.f64 z #s(literal 1/4 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
	36.6%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (- (* z 1/3) (+ (* z 1/24) (* 1/4 z)))) (* z -1/2)) (*.f64 z #s(literal -1/2 binary64))) z)))
	36.8%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)))
	51.9%	#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* x (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z)))
	12.7%	#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 #s(approx (- (* 1/2 (* z (* z z))) (* z (+ (* z (neg z)) (* x x)))) (.f64 (.f64 z (.f64 z z)) #s(literal 3/2 binary64))) (.f64 z z)))) x) z))
	25.2%	#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (/.f64 (.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
	51.9%	#s(approx (+ (* (cos y) z) (* x (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z))
	85.6%	#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 z (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))))
✓	89.7%	#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
	85.7%	#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 x (fma.f64 z (/.f64 (cos.f64 y) x) (sin.f64 y))))
	40.8%	#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 x (sin.f64 y)))
✓	53.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	35.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
✓	60.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
	36.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (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)))))
✓	38.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	45.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
	38.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
	45.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
✓	17.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
	36.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 (.f64 y z) #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) y z)))
	36.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 z #s(literal -1/2 binary64))) z)))
	36.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y #s(literal 1/24 binary64)) y #s(literal -1/2 binary64))) z)))
✓	36.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)))
	2.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) #s(approx (+ (* (* y y) (* z (+ (* (* y y) 1/24) -1/2))) z) (.f64 #s(literal 1/24 binary64) (.f64 z (.f64 (.f64 y y) (*.f64 y y)))))))

Compiler

Compiled 2 290 to 703 computations (69.3% saved)

regimes124.0ms (1.1%)

Memory

25.2MiB live, 216.5MiB allocated

Counts

74 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (- (* z 1/3) (+ (* z 1/24) (* 1/4 z)))) (* z -1/2)) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) #s(approx (+ (* (* y y) (* z (+ (* (* y y) 1/24) -1/2))) z) (.f64 #s(literal 1/24 binary64) (.f64 z (.f64 (.f64 y y) (*.f64 y y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) #s(approx ( z (+ (* (* y y) 1/24) -1/2)) (.f64 #s(literal 1/24 binary64) (.f64 z (*.f64 y y)))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 (.f64 y z) #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) y z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y #s(literal 1/24 binary64)) y #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
#s(approx (+ (* (cos y) z) (* x (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z))
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#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* x (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (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)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (fma.f64 z #s(literal 7/24 binary64) (.f64 #s(literal -1/4 binary64) z)) (.f64 y y) (.f64 z #s(literal -1/2 binary64))) z)))
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#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/3 binary64) (neg.f64 (.f64 z #s(literal 7/24 binary64)))) (.f64 z #s(literal -1/2 binary64))) z)))
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#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
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(fma.f64 (cos.f64 y) z #s(approx (* x (sin y)) (*.f64 x y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
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#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 z (/.f64 (cos.f64 y) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (/.f64 (.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (/.f64 (.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64)))))))
#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (/.f64 (.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) z) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)) (cos.f64 y))))
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#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* x (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (/.f64 (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
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(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (-.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 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 (cos.f64 (+.f64 y y)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 z (.f64 z #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 y y)) (*.f64 z z))))))
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#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 y)) (/.f64 (.f64 (.f64 x (sin.f64 y)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (fma.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64))) (sin.f64 y)) (/.f64 (.f64 (.f64 (cos.f64 y) z) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 y #s(literal -2 binary64))) #s(literal -1/2 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) (.f64 x (fma.f64 z (/.f64 (.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 y #s(literal -2 binary64)))))) (.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal -2 binary64))))) (sin.f64 y)))))
(fma.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y 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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 x (-.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 (+.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 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 4 binary64))) (.f64 (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 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 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) (pow.f64 (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))))) (/.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) (fma.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.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 z (cos.f64 y)))) (.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (.f64 (.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))))))

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

Calls

4 calls:

49.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
26.0ms	z
23.0ms	x
22.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes69.0ms (0.6%)

Memory

-2.5MiB live, 114.9MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (- (* z 1/3) (+ (* z 1/24) (* 1/4 z)))) (* z -1/2)) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) #s(approx (+ (* (* y y) (* z (+ (* (* y y) 1/24) -1/2))) z) (.f64 #s(literal 1/24 binary64) (.f64 z (.f64 (.f64 y y) (*.f64 y y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) #s(approx ( z (+ (* (* y y) 1/24) -1/2)) (.f64 #s(literal 1/24 binary64) (.f64 z (*.f64 y y)))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 (.f64 y z) #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) y z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y #s(literal 1/24 binary64)) y #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
#s(approx (+ (* (cos y) z) (* x (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z))
#s(approx (+ (* (cos y) z) (* x (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* x (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (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)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (fma.f64 z #s(literal 7/24 binary64) (.f64 #s(literal -1/4 binary64) z)) (.f64 y y) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 7/24 binary64)) (.f64 z #s(literal 1/4 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 7/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/3 binary64) (neg.f64 (.f64 z #s(literal 7/24 binary64)))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (/.f64 (.f64 (.f64 z #s(literal 7/24 binary64)) (.f64 z #s(literal -5/24 binary64))) (.f64 z #s(literal -5/24 binary64)))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 z #s(literal 7/24 binary64)) (.f64 z #s(literal -5/24 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z #s(literal -5/24 binary64))) (.f64 #s(literal -1/4 binary64) z)) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 #s(approx (- (* 1/2 (* z (* z z))) (* z (+ (* z (neg z)) (* x x)))) (.f64 (.f64 z (.f64 z z)) #s(literal 3/2 binary64))) (.f64 z z)))) x) z))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (/.f64 (-.f64 (.f64 (.f64 z z) #s(literal 1/9 binary64)) (.f64 (.f64 z z) #s(literal 1/576 binary64))) (fma.f64 z #s(literal 1/3 binary64) (.f64 z #s(literal 1/24 binary64))))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z)))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 x (sin.f64 y)))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z #s(approx (* x (sin y)) (*.f64 x y)))

Outputs

(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))

#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))

(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))

Calls

4 calls:

26.0ms	y
15.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
13.0ms	x
12.0ms	z

Results

Accuracy	Segments	Branch
91.0%	3	`x`
82.5%	3	`y`
86.5%	3	`z`
80.4%	2	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes118.0ms (1%)

Memory

2.4MiB live, 115.9MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (- (* z 1/3) (+ (* z 1/24) (* 1/4 z)))) (* z -1/2)) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) #s(approx (+ (* (* y y) (* z (+ (* (* y y) 1/24) -1/2))) z) (.f64 #s(literal 1/24 binary64) (.f64 z (.f64 (.f64 y y) (*.f64 y y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) #s(approx ( z (+ (* (* y y) 1/24) -1/2)) (.f64 #s(literal 1/24 binary64) (.f64 z (*.f64 y y)))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 (.f64 y z) #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) y z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y #s(literal 1/24 binary64)) y #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
#s(approx (+ (* (cos y) z) (* x (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z))
#s(approx (+ (* (cos y) z) (* x (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* x (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (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)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (fma.f64 z #s(literal 7/24 binary64) (.f64 #s(literal -1/4 binary64) z)) (.f64 y y) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 7/24 binary64)) (.f64 z #s(literal 1/4 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 7/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/3 binary64) (neg.f64 (.f64 z #s(literal 7/24 binary64)))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (/.f64 (.f64 (.f64 z #s(literal 7/24 binary64)) (.f64 z #s(literal -5/24 binary64))) (.f64 z #s(literal -5/24 binary64)))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 z #s(literal 7/24 binary64)) (.f64 z #s(literal -5/24 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z #s(literal -5/24 binary64))) (.f64 #s(literal -1/4 binary64) z)) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 #s(approx (- (* 1/2 (* z (* z z))) (* z (+ (* z (neg z)) (* x x)))) (.f64 (.f64 z (.f64 z z)) #s(literal 3/2 binary64))) (.f64 z z)))) x) z))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (/.f64 (-.f64 (.f64 (.f64 z z) #s(literal 1/9 binary64)) (.f64 (.f64 z z) #s(literal 1/576 binary64))) (fma.f64 z #s(literal 1/3 binary64) (.f64 z #s(literal 1/24 binary64))))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z)))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))
#s(approx (+ (* (cos y) z) (* x (sin y))) (*.f64 x (sin.f64 y)))

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

Calls

4 calls:

67.0ms	y
25.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
13.0ms	x
11.0ms	z

Results

Accuracy	Segments	Branch
66.7%	4	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
82.4%	5	`y`
80.6%	3	`z`
80.1%	3	`x`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes36.0ms (0.3%)

Memory

10.9MiB live, 87.9MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (- (* z 1/3) (+ (* z 1/24) (* 1/4 z)))) (* z -1/2)) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) #s(approx (+ (* (* y y) (* z (+ (* (* y y) 1/24) -1/2))) z) (.f64 #s(literal 1/24 binary64) (.f64 z (.f64 (.f64 y y) (*.f64 y y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) #s(approx ( z (+ (* (* y y) 1/24) -1/2)) (.f64 #s(literal 1/24 binary64) (.f64 z (*.f64 y y)))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 (.f64 y z) #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) y z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y #s(literal 1/24 binary64)) y #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
#s(approx (+ (* (cos y) z) (* x (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z))
#s(approx (+ (* (cos y) z) (* x (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* x (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (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)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (fma.f64 z #s(literal 7/24 binary64) (.f64 #s(literal -1/4 binary64) z)) (.f64 y y) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 7/24 binary64)) (.f64 z #s(literal 1/4 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 7/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/3 binary64) (neg.f64 (.f64 z #s(literal 7/24 binary64)))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (/.f64 (.f64 (.f64 z #s(literal 7/24 binary64)) (.f64 z #s(literal -5/24 binary64))) (.f64 z #s(literal -5/24 binary64)))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 z #s(literal 7/24 binary64)) (.f64 z #s(literal -5/24 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z #s(literal -5/24 binary64))) (.f64 #s(literal -1/4 binary64) z)) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 #s(approx (- (* 1/2 (* z (* z z))) (* z (+ (* z (neg z)) (* x x)))) (.f64 (.f64 z (.f64 z z)) #s(literal 3/2 binary64))) (.f64 z z)))) x) z))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (/.f64 (-.f64 (.f64 (.f64 z z) #s(literal 1/9 binary64)) (.f64 (.f64 z z) #s(literal 1/576 binary64))) (fma.f64 z #s(literal 1/3 binary64) (.f64 z #s(literal 1/24 binary64))))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z)))) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))

Outputs

#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))

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

#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))

Calls

3 calls:

11.0ms	y
11.0ms	x
10.0ms	z

Results

Accuracy	Segments	Branch
75.5%	3	`y`
62.7%	3	`x`
66.1%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes50.0ms (0.4%)

Memory

-2.4MiB live, 96.4MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) #s(literal 1 binary64)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 y (.f64 y (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) #s(approx (+ ( (* y y) (- (* z 1/3) (+ (* z 1/24) (* 1/4 z)))) (* z -1/2)) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (*.f64 y #s(literal -1/2 binary64)) x) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x (+.f64 y (/.f64 z x)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y (+.f64 x (/.f64 z y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) #s(approx (+ (* (* y y) (* z (+ (* (* y y) 1/24) -1/2))) z) (.f64 #s(literal 1/24 binary64) (.f64 z (.f64 (.f64 y y) (*.f64 y y)))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) #s(approx ( z (+ (* (* y y) 1/24) -1/2)) (.f64 #s(literal 1/24 binary64) (.f64 z (*.f64 y y)))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 (.f64 y z) #s(approx (+ (* (* y y) 1/24) -1/2) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) y z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y #s(literal 1/24 binary64)) y #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 x (.f64 y #s(literal -1/6 binary64)))) x) z))
#s(approx (+ (* (cos y) z) (* x (sin y))) (fma.f64 y (fma.f64 y (fma.f64 x (.f64 y #s(literal -1/6 binary64)) (.f64 z #s(literal -1/2 binary64))) x) z))
#s(approx (+ (* (cos y) z) (* x (sin y))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (+ (* z (/ (+ (* 1/2 (cos (* y -2))) 1/2) (cos y))) (/ (* (* x (sin y)) (+ (* 1/2 (cos (* y -2))) 1/2)) (pow (cos y) 2))) (fma.f64 y (fma.f64 y (fma.f64 z #s(literal -1/2 binary64) (.f64 (.f64 x y) #s(literal -1/6 binary64))) x) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* z (cos y)) (fma.f64 (.f64 y y) (fma.f64 y (.f64 (.f64 y #s(literal 1/24 binary64)) z) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) (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)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (fma.f64 z #s(literal 7/24 binary64) (.f64 #s(literal -1/4 binary64) z)) (.f64 y y) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 7/24 binary64)) (.f64 z #s(literal 1/4 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (.f64 z #s(literal 7/24 binary64))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 z #s(literal 1/3 binary64) (neg.f64 (.f64 z #s(literal 7/24 binary64)))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (fma.f64 z #s(literal 1/24 binary64) (.f64 #s(literal 1/4 binary64) z))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y x) z) (.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (/.f64 (.f64 (.f64 z #s(literal 7/24 binary64)) (.f64 z #s(literal -5/24 binary64))) (.f64 z #s(literal -5/24 binary64)))) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 (.f64 (.f64 z #s(literal 7/24 binary64)) (.f64 z #s(literal -5/24 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z #s(literal -5/24 binary64))) (.f64 #s(literal -1/4 binary64) z)) (.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 #s(approx (- (* 1/2 (* z (* z z))) (* z (+ (* z (neg z)) (* x x)))) (.f64 (.f64 z (.f64 z z)) #s(literal 3/2 binary64))) (.f64 z z)))) x) z))
#s(approx (/ (/ 1 (- (* x (sin y)) (* z (cos y)))) (/ 1 (- (* (* x x) (- 1/2 (* 1/2 (cos (+ y y))))) (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y)))))))) #s(approx (/ (* z (+ (* 1/2 (cos (* y -2))) 1/2)) (cos y)) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (-.f64 (.f64 z #s(literal 1/3 binary64)) (/.f64 (-.f64 (.f64 (.f64 z z) #s(literal 1/9 binary64)) (.f64 (.f64 z z) #s(literal 1/576 binary64))) (fma.f64 z #s(literal 1/3 binary64) (.f64 z #s(literal 1/24 binary64))))) (*.f64 z #s(literal -1/2 binary64))) z)))
#s(approx (/ (- (pow (* x (sin y)) 4) (pow (* z (cos y)) 4)) (* (+ (* (* z z) (+ 1/2 (* 1/2 (cos (+ y y))))) (* (* x x) (- 1/2 (* 1/2 (cos (+ y y)))))) (- (* x (sin y)) (* z (cos y))))) (fma.f64 y (fma.f64 y (-.f64 (.f64 z #s(literal -2 binary64)) (-.f64 (neg.f64 (/.f64 (.f64 x x) z)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 z (.f64 z z))) (.f64 z (fma.f64 z (neg.f64 z) (.f64 x x)))) (.f64 z z)))) x) z))

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

Calls

4 calls:

16.0ms	y
11.0ms	x
10.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
10.0ms	z

Results

Accuracy	Segments	Branch
53.4%	1	`x`
53.4%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
53.4%	1	`z`
53.4%	1	`y`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory

-17.4MiB live, 22.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
38.7%	1	`y`
45.4%	3	`x`
38.7%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
45.5%	3	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0%)

Memory

18.4MiB live, 18.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
17.4%	1	`y`
17.4%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
17.4%	1	`x`
17.4%	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch37.0ms (0.3%)

Memory

-8.6MiB live, 72.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.78543684354423e-18	9.978621467386942e-15
18.0ms	-1.1767729585114989e-58	-1.0225863708991178e-65

Samples

25.0ms

272×

valid

Compiler

Compiled 372 to 252 computations (32.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 7.0ms (39.6% of total)

ival-cos: 6.0ms (33.9% of total)

ival-mult: 3.0ms (17% of total)

ival-add: 1.0ms (5.7% of total)

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

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

bsearch77.0ms (0.7%)

Memory

9.5MiB live, 48.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.5417367327868817e-66	1.468716172221672e-64
61.0ms	-4.272444130297062e-128	-3.120052986399489e-138

Samples

65.0ms

272×

valid

Compiler

Compiled 321 to 218 computations (32.1% saved)

Precisions

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

ival-mult: 46.0ms (79.2% of total)

ival-sin: 6.0ms (10.3% of total)

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

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

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

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

bsearch42.0ms (0.4%)

Memory

-13.1MiB live, 61.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.2287225423087196e-7	3378.860185238779
22.0ms	-13.506227614094588	-1.5363594875748794e-36

Samples

23.0ms

336×

valid

Compiler

Compiled 498 to 308 computations (38.2% saved)

Precisions

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

ival-mult: 4.0ms (29.7% of total)

ival-sin: 4.0ms (29.7% of total)

ival-cos: 3.0ms (22.3% of total)

ival-add: 1.0ms (7.4% of total)

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

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

bsearch33.0ms (0.3%)

Memory

14.9MiB live, 55.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.5417367327868817e-66	1.468716172221672e-64
19.0ms	-8.67679180771706e-163	-3.0723411554198225e-167

Samples

22.0ms

224×

valid

Compiler

Compiled 285 to 179 computations (37.2% saved)

Precisions

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

ival-sin: 5.0ms (37.9% of total)

ival-cos: 4.0ms (30.3% of total)

ival-mult: 3.0ms (22.7% of total)

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

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

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

simplify11.0ms (0.1%)

Memory

-18.8MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	247
1	64	247

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -8684406692798715/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 x (sin.f64 y))) (if (<=.f64 x #s(literal 4381000474388761/162259276829213363391578010288128 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 x (sin.f64 y)))))
(if (<=.f64 z #s(literal -1024323743072435/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 3912846279507389/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y #s(literal -3602879701896397/144115188075855872 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 5620492334958379/72057594037927936 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (.f64 y #s(literal -1/2 binary64)) x) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 z #s(literal -6483618076376551/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 6070840288205403/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

Outputs
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 x #s(literal -8684406692798715/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 x (sin.f64 y))) (if (<=.f64 x #s(literal 4381000474388761/162259276829213363391578010288128 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 x (sin.f64 y)))))
(if (<=.f64 x #s(literal -8684406692798715/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 x (sin.f64 y))) (if (<=.f64 x #s(literal 4381000474388761/162259276829213363391578010288128 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 x (sin.f64 y)))))
(if (<=.f64 z #s(literal -1024323743072435/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 3912846279507389/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
(if (<=.f64 z #s(literal -1024323743072435/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 3912846279507389/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -3602879701896397/144115188075855872 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 5620492334958379/72057594037927936 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 y (fma.f64 z (.f64 y #s(literal -1/2 binary64)) x) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 z #s(literal -6483618076376551/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 6070840288205403/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))))
(if (<=.f64 z #s(literal -6483618076376551/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z #s(approx (cos y) #s(literal 1 binary64)))) (if (<=.f64 z #s(literal 6070840288205403/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 y x))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 z #s(approx (cos y) #s(literal 1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))

soundness792.0ms (7%)

Memory

-6.9MiB live, 519.9MiB allocated

Rules

14 960×	`lower-fma.f64`
14 960×	`lower-fma.f32`
11 480×	`lower-fma.f64`
11 480×	`lower-fma.f32`
8 782×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	626
1	316	622
2	937	612
3	2505	606
4	4416	606
5	7325	606
0	8407	556
0	8	19
0	13	19
1	29	19
2	185	19
3	1836	19
0	8391	18
0	762	9144
1	2778	8837
0	8376	8357

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

Compiler

Compiled 255 to 121 computations (52.5% saved)

preprocess103.0ms (0.9%)

Memory: 22.9MiB live, 105.7MiB allocated
Compiler: Compiled 272 to 98 computations (64% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.2s (10.4%)

preprocess48.0ms (0.4%)

explain124.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize33.0ms (0.3%)

series7.0ms (0.1%)

simplify396.0ms (3.5%)

rewrite779.0ms (6.9%)

eval34.0ms (0.3%)

prune49.0ms (0.4%)

simplify697.0ms (6.2%)

localize322.0ms (2.8%)

series101.0ms (0.9%)

simplify536.0ms (4.7%)

rewrite578.0ms (5.1%)

eval278.0ms (2.5%)

prune549.0ms (4.9%)

simplify358.0ms (3.2%)

localize482.0ms (4.3%)

series58.0ms (0.5%)

simplify417.0ms (3.7%)

rewrite404.0ms (3.6%)

eval190.0ms (1.7%)

prune125.0ms (1.1%)

simplify365.0ms (3.2%)

localize397.0ms (3.5%)

series43.0ms (0.4%)

simplify470.0ms (4.2%)

rewrite470.0ms (4.2%)

eval166.0ms (1.5%)

prune140.0ms (1.2%)

regimes124.0ms (1.1%)

regimes69.0ms (0.6%)

regimes118.0ms (1%)

regimes36.0ms (0.3%)

regimes50.0ms (0.4%)

regimes8.0ms (0.1%)

regimes6.0ms (0%)

bsearch37.0ms (0.3%)

bsearch77.0ms (0.7%)

bsearch42.0ms (0.4%)

bsearch33.0ms (0.3%)

simplify11.0ms (0.1%)

soundness792.0ms (7%)

preprocess103.0ms (0.9%)

end0.0ms (0%)

Profiling