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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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)

sample871.0ms (17.9%)

Memory

269.4MiB live, 269.4MiB allocated

Samples

643.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 470.0ms

ival-sin: 178.0ms (37.9% of total)

ival-cos: 147.0ms (31.3% of total)

ival-mult: 102.0ms (21.7% of total)

ival-add: 33.0ms (7% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain110.0ms (2.3%)

Memory

54.1MiB live, 54.1MiB 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

43.0ms

512×

valid

Compiler

Compiled 109 to 44 computations (59.6% saved)

Precisions

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

ival-cos: 9.0ms (32.2% of total)

ival-sin: 9.0ms (32.2% of total)

ival-mult: 6.0ms (21.5% of total)

ival-add: 2.0ms (7.2% of total)

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

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

preprocess42.0ms (0.9%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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)))

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

localize27.0ms (0.5%)

Memory

9.8MiB live, 9.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 y)
accuracy	0.00390625	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
accuracy	0.07421875	(*.f64 z (cos.f64 y))
accuracy	0.08984375	(*.f64 x (sin.f64 y))

Samples

21.0ms

256×

valid

Compiler

Compiled 50 to 18 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sin: 5.0ms (36.8% of total)

ival-cos: 4.0ms (29.4% of total)

ival-mult: 3.0ms (22.1% of total)

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

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

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

series8.0ms (0.2%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

5 → 28

Calls

Call 1

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

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

Calls

9 calls:

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

simplify129.0ms (2.6%)

Memory

34.1MiB live, 34.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	288
1	344	284
2	981	274
3	2645	268
4	4662	268
5	6960	268
0	8192	233

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 26

Calls

Call 1

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

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

rewrite149.0ms (3.1%)

Memory

58.3MiB live, 58.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8391	20

Stop Event

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

Counts

5 → 177

Calls

Call 1

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

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

eval19.0ms (0.4%)

Memory: 17.1MiB live, 17.1MiB allocated
Compiler: Compiled 7 735 to 575 computations (92.6% saved)

prune9.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	188	11	199
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	189	11	200

Accuracy

100.0%

Counts

200 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
▶	99.9%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	38.4%	(/.f64 (pow.f64 (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
▶	59.2%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
	59.8%	(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))
	38.6%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x)) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))))
▶	77.3%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
▶	57.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
	57.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
▶	58.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	67.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))

Compiler

Compiled 494 to 300 computations (39.3% saved)

simplify98.0ms (2%)

Memory

29.2MiB live, 29.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))
cost-diff	0	(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
cost-diff	40320	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
cost-diff	0	(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
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 #s(approx (cos y) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x)
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
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 (sin.f64 y) x)
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	245
0	65	224
1	97	224
2	163	224
3	380	224
4	915	224
5	2861	224
6	6362	224
0	8049	223

Stop Event

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

Calls

Call 1

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

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

localize91.0ms (1.9%)

Memory

39.2MiB live, 39.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.1739201638908477	(pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))
accuracy	0.21941376953688402	(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
accuracy	2.347641800811441	(-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)))
accuracy	25.75749292923742	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
accuracy	0.00390625	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
accuracy	0.07421875	(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
accuracy	0.08984375	(*.f64 x (sin.f64 y))
accuracy	24.626941502786497	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.015625	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)
accuracy	0.01953125	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x)
accuracy	0.14453125	(fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z))
accuracy	27.028314970849618	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
accuracy	0	(fma.f64 y x z)
accuracy	26.321162256703953	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy	0	(sin.f64 y)
accuracy	0	(cos.f64 y)
accuracy	0.03125	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy	0.08984375	(*.f64 (sin.f64 y) x)

Samples

68.0ms

256×

valid

Compiler

Compiled 477 to 74 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 14.0ms (28% of total)

ival-add: 7.0ms (14% of total)

ival-pow: 7.0ms (14% of total)

ival-cos: 5.0ms (10% of total)

ival-sin: 4.0ms (8% of total)

const: 4.0ms (8% of total)

ival-pow2: 4.0ms (8% of total)

ival-div: 2.0ms (4% of total)

ival-sub: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

series40.0ms (0.8%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

21 → 148

Calls

Call 1

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

Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
z
(+ z (* x y))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))
(* -1/2 z)
(+ (* -1/2 z) (* -1/6 (* x y)))
(/ -1 (* z (cos y)))
(- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3)))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(* -1 (* z (cos y)))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(* -1 (* (pow z 2) (pow (cos y) 2)))
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))
(* (pow x 2) (pow (sin y) 2))
(/ -1 (* (pow z 2) (pow (cos y) 2)))
(- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 4) (pow (cos y) 4)))) (/ 1 (* (pow z 2) (pow (cos y) 2))))
(- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (sin y) 4)) (* (pow z 6) (pow (cos y) 6)))) (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4))))) (/ 1 (* (pow z 2) (pow (cos y) 2))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (sin y) 6)) (* (pow z 8) (pow (cos y) 8)))) (/ (pow (sin y) 4) (* (pow z 6) (pow (cos y) 6))))) (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4))))) (/ 1 (* (pow z 2) (pow (cos y) 2))))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x y)
(* x (+ y (/ z x)))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))
(* -1/6 (* x y))
(* x (+ (* -1/2 (/ z x)) (* -1/6 y)))
(/ 1 (* x (sin y)))
(/ (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x)
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x))))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(/ 1 (* (pow x 2) (pow (sin y) 2)))
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2))
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* 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)))))))
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))))
x
(+ x (* -1/2 (* y z)))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(+ 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 (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(+ 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))))
(/ -1 z)
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(- (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3)))) z))))) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(* -1 z)
(+ (* -1 z) (* x y))
(+ (* -1 z) (* y (+ x (* 1/2 (* y z)))))
(+ (* -1 z) (* y (+ x (* y (+ (* -1/6 (* x y)) (* 1/2 z))))))
(* -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) (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)))
(/ -1 (pow z 2))
(- (* -1 (* (pow y 2) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2)))
(- (* (pow y 2) (- (* (pow y 2) (- (* 1/3 (/ 1 (pow z 2))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))))) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2)))
(- (* (pow y 2) (- (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* -1 (/ (* (- (* 1/3 (/ 1 (pow z 2))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2)))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))) (+ (* 2/45 (/ 1 (pow z 2))) (+ (* 2/45 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow z 2))))))) (* 1/3 (/ 1 (pow z 2)))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))))) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2)))
(cos y)
(sin y)
(* y (+ x (/ z y)))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* y (+ (* -1/2 (/ z y)) (* -1/6 x)))
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y))))
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y))))
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(+ (/ 1 (* (pow x 2) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 4) (pow (sin y) 4))))
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 4)) (* (pow x 6) (pow (sin y) 6))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2))))
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 6)) (* (pow x 8) (pow (sin y) 8))) (* -1 (/ (pow (cos y) 4) (* (pow x 6) (pow (sin y) 6)))))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z)
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))) (+ (/ 1 (pow (cos y) 2)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 6) (pow (sin y) 6)) (* (pow z 6) (pow (cos y) 8)))) (+ (/ 1 (pow (cos y) 2)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))))) (pow z 2))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* -1 (/ (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (cos y) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1))
5.0ms	x	@	0	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (cos y) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1))
4.0ms	y	@	inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (cos y) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1))
4.0ms	y	@	-inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (cos y) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1))
4.0ms	x	@	inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (+ (* -1/6 (* y x)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (+ (* (neg z) (cos y)) (* (sin y) x)) (neg z) (cos y) (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) (pow (* (sin y) x) 2) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1))

simplify132.0ms (2.7%)

Memory

44.7MiB live, 44.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	656	3143
1	2188	3028
2	7785	3022
0	8163	2830

Stop Event

1×	iter limit
1×	node limit

Counts

148 → 145

Calls

Call 1

Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
z
(+ z (* x y))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))
(* -1/2 z)
(+ (* -1/2 z) (* -1/6 (* x y)))
(/ -1 (* z (cos y)))
(- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3)))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(* -1 (* z (cos y)))
(+ (* -1 (* z (cos y))) (* x (sin y)))
(* -1 (* (pow z 2) (pow (cos y) 2)))
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2)))
(* (pow x 2) (pow (sin y) 2))
(/ -1 (* (pow z 2) (pow (cos y) 2)))
(- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 4) (pow (cos y) 4)))) (/ 1 (* (pow z 2) (pow (cos y) 2))))
(- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (sin y) 4)) (* (pow z 6) (pow (cos y) 6)))) (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4))))) (/ 1 (* (pow z 2) (pow (cos y) 2))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) (pow (sin y) 6)) (* (pow z 8) (pow (cos y) 8)))) (/ (pow (sin y) 4) (* (pow z 6) (pow (cos y) 6))))) (/ (pow (sin y) 2) (* (pow z 4) (pow (cos y) 4))))) (/ 1 (* (pow z 2) (pow (cos y) 2))))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x y)
(* x (+ y (/ z x)))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))
(* -1/6 (* x y))
(* x (+ (* -1/2 (/ z x)) (* -1/6 y)))
(/ 1 (* x (sin y)))
(/ (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x)
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x))))
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2)))
(/ 1 (* (pow x 2) (pow (sin y) 2)))
(/ (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4))))) (pow x 2))
(/ (- (+ (/ 1 (pow (sin y) 2)) (/ (* (pow z 6) (pow (cos y) 6)) (* (pow x 6) (pow (sin y) 8)))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 4)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 4) (pow (sin y) 6)))))) (pow x 2))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x))
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x))))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* 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)))))))
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))))
x
(+ x (* -1/2 (* y z)))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(+ 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 (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x))))
(+ 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))))
(/ -1 z)
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(- (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3)))) z))))) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(* -1 z)
(+ (* -1 z) (* x y))
(+ (* -1 z) (* y (+ x (* 1/2 (* y z)))))
(+ (* -1 z) (* y (+ x (* y (+ (* -1/6 (* x y)) (* 1/2 z))))))
(* -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) (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)))
(/ -1 (pow z 2))
(- (* -1 (* (pow y 2) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2)))
(- (* (pow y 2) (- (* (pow y 2) (- (* 1/3 (/ 1 (pow z 2))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))))) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2)))
(- (* (pow y 2) (- (* (pow y 2) (- (+ (* -1 (* (pow y 2) (+ (* -1 (/ (* (- (* 1/3 (/ 1 (pow z 2))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2)))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))) (+ (* 2/45 (/ 1 (pow z 2))) (+ (* 2/45 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow z 2))))))) (* 1/3 (/ 1 (pow z 2)))) (+ (* -1/3 (/ (pow x 2) (pow z 4))) (/ (* (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2))))) (+ (/ 1 (pow z 2)) (/ (pow x 2) (pow z 4))))) (/ 1 (pow z 2)))
(cos y)
(sin y)
(* y (+ x (/ z y)))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* y (+ (* -1/2 (/ z y)) (* -1/6 x)))
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (+ (* -1 (* z (cos y))) (* x (sin y))))
(/ 1 (+ (* -1 (* z (cos y))) (* x (sin y))))
(/ 1 (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(+ (/ 1 (* x (sin y))) (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (cos y) (* (pow x 2) (pow (sin y) 2)))))) (/ 1 (* x (sin y))))
(+ (* -1 (* (pow z 2) (pow (cos y) 2))) (* (pow x 2) (pow (sin y) 2)))
(+ (/ 1 (* (pow x 2) (pow (sin y) 2))) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 4) (pow (sin y) 4))))
(+ (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 4)) (* (pow x 6) (pow (sin y) 6))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2))))
(+ (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow z 2) (pow (cos y) 6)) (* (pow x 8) (pow (sin y) 8))) (* -1 (/ (pow (cos y) 4) (* (pow x 6) (pow (sin y) 6)))))) (* -1 (/ (pow (cos y) 2) (* (pow x 4) (pow (sin y) 4)))))) (/ 1 (* (pow x 2) (pow (sin y) 2))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(/ (- (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (+ (/ 1 (cos y)) (+ (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))))) z)
(* z (+ (* -1 (cos y)) (/ (* x (sin y)) z)))
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2)))
(/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4)))) (/ 1 (pow (cos y) 2))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))) (+ (/ 1 (pow (cos y) 2)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))))) (pow z 2))
(/ (- (* -1 (/ (* (pow x 6) (pow (sin y) 6)) (* (pow z 6) (pow (cos y) 8)))) (+ (/ 1 (pow (cos y) 2)) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 4))) (/ (* (pow x 4) (pow (sin y) 4)) (* (pow z 4) (pow (cos y) 6)))))) (pow z 2))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* -1 (/ (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (* z (+ (cos y) (* -1 (/ (* x (sin y)) z)))))

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

rewrite149.0ms (3%)

Memory

69.3MiB live, 69.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	199
0	65	178
1	246	178
2	1631	178
0	8689	177

Stop Event

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

Counts

21 → 732

Calls

Call 1

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

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

eval108.0ms (2.2%)

Memory: 73.9MiB live, 73.9MiB allocated
Compiler: Compiled 33 085 to 3 095 computations (90.6% saved)

prune45.0ms (0.9%)

Memory

40.2MiB live, 40.2MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	771	24	795
Fresh	5	1	6
Picked	2	3	5
Done	0	0	0
Total	778	28	806

Accuracy

100.0%

Counts

806 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
	50.8%	(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
▶	45.5%	(fma.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (.f64 x (sin.f64 y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
✓	99.9%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	77.3%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
	38.0%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow ( (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))))
	19.9%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow ( (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))))
	24.2%	(/.f64 #s(approx (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) x))) (pow.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
	77.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))))
	29.6%	#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (.f64 (neg.f64 x) x) z))) y x) y z))
▶	92.4%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
	85.4%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
	67.2%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z))
✓	57.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
	58.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 x y))) y x) y z))
	49.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (fma.f64 (.f64 (/.f64 z x) y) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x)) y z))
▶	58.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) x)) y z))
	43.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
	43.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (.f64 z y) #s(literal -1/2 binary64))) y z))
✓	58.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	58.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
	43.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z)))
	16.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (neg.f64 x) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
▶	50.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) y (/.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z) (neg.f64 x))))))
	56.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 x y) z) z z)))
	56.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))))
	51.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
▶	16.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

Compiler

Compiled 1 484 to 995 computations (33% saved)

simplify90.0ms (1.8%)

Memory

21.8MiB live, 21.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 x (sin.f64 y))
cost-diff	0	(sqrt.f64 (*.f64 x (sin.f64 y)))
cost-diff	8320	(fma.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (.f64 x (sin.f64 y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) y (/.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z) (neg.f64 x)))))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) y (/.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z) (neg.f64 x))))))
cost-diff	128	(/.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z) (neg.f64 x))
cost-diff	7424	(.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) y (/.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z) (neg.f64 x))))
cost-diff	0	(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) x))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) x)) y z)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) x)) y 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	(/.f64 (sin.f64 y) z)
cost-diff	0	(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
cost-diff	0	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
cost-diff	704	(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	400
0	83	394
1	139	394
2	259	394
3	674	387
4	1960	379
5	4438	376
0	8041	344

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (2.8%)

Memory

46.8MiB live, 46.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(*.f64 x (sin.f64 y))
accuracy	0.06640625	(fma.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (.f64 x (sin.f64 y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
accuracy	4.638864289832201	(sqrt.f64 (*.f64 x (sin.f64 y)))
accuracy	9.731820336853136	#s(approx (cos y) #s(literal 1 binary64))
accuracy	1.8007729933208234	(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) y (/.f64 (fma.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64) z) (neg.f64 x)))
accuracy	2.7223685336805348	(.f64 (.f64 y y) z)
accuracy	3.2863626496966445	(.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) y (/.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z) (neg.f64 x))))
accuracy	10.47135015707089	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) y (/.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z) (neg.f64 x))))))
accuracy	0.21320815793065012	(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy	1.1982912060132835	(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) x)
accuracy	10.47135015707089	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) x)) y z))
accuracy	11.531180707883594	#s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) x))
accuracy	0	(*.f64 x y)
accuracy	10.367589299846715	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
accuracy	19.891810368825894	#s(approx (+ (* y x) z) (*.f64 x y))
accuracy	0	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
accuracy	0.03515625	(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
accuracy	0.046875	(/.f64 (sin.f64 y) z)
accuracy	1.938405165505257	(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)

Samples

53.0ms	134×	0	invalid
47.0ms	122×	0	valid

Compiler

Compiled 678 to 105 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 34.0ms (45.4% of total)

ival-add: 15.0ms (20% of total)

const: 8.0ms (10.7% of total)

ival-cos: 6.0ms (8% of total)

ival-sin: 5.0ms (6.7% of total)

ival-div: 4.0ms (5.3% of total)

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

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series48.0ms (1%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

23 → 120

Calls

Call 1

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

Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
z
(+ z (* x y))
(* x y)
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))
(* x (+ 1 (* -1/6 (pow y 2))))
(+ z (+ (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) (* -1/2 (* (pow y 2) z))))
(* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))
(sqrt (* x (sin y)))
(* x (sin y))
(/ (+ (* -1 (+ z (* -1/2 (* (pow y 2) z)))) (* x (* y (- (* 1/6 (pow y 2)) 1)))) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ y (/ z x)))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* x (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(* y (- (* 1/6 (pow y 2)) 1))
(+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2)))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
x
(+ x (* -1/2 (* y z)))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1 (/ z x))
(+ (* -1 (/ z x)) (* 1/2 (/ (* (pow y 2) z) x)))
(sqrt (* x y))
(+ (sqrt (* x y)) (* -1/12 (sqrt (* x (pow y 5)))))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* 1/240 (sqrt (* x (pow y 3)))))))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ x y))) (* 1/240 (sqrt (/ 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)))))))
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))))
(+ 1 (* -1/6 (pow y 2)))
(* (pow y 2) z)
(+ (* -1 y) (* -1 (/ z x)))
(+ (* -1 (/ z x)) (* y (- (* 1/2 (/ (* y z) x)) 1)))
(+ (* -1 (/ z x)) (* y (- (* y (+ (* 1/6 y) (* 1/2 (/ z 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)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (sin y) z)
(* y (+ x (/ z y)))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* 1/2 (/ (* (pow y 2) z) x))
(* (pow y 2) (+ (* -1 (/ z (* x (pow y 2)))) (* 1/2 (/ z x))))
(sin y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ z (* x y)))))
(* (pow y 3) (- (+ 1/6 (* 1/2 (/ z (* x y)))) (/ 1 (pow y 2))))
(* (pow y 3) (- (+ 1/6 (+ (* -1 (/ z (* x (pow y 3)))) (* 1/2 (/ z (* x y))))) (/ 1 (pow y 2))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))
(* -1 (* (pow y 3) (- (* -1/2 (/ z (* x y))) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* 1/2 (/ z x)) (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 (/ (+ 1 (/ z (* x y))) y)) (* 1/2 (/ z x))) y)) 1/6)))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(+ (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) (* z (+ 1 (* -1/2 (pow y 2)))))
(* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x))
(+ (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)) (* y (- (* 1/6 (pow y 2)) 1)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (+ 1 (+ (* -1 (/ (* x (* y (- (* 1/6 (pow y 2)) 1))) z)) (* -1/2 (pow y 2)))))
(* z (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) x)) (/ (* y (- (* 1/6 (pow y 2)) 1)) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (- (+ (* 1/2 (pow y 2)) (/ (* x (* y (- (* 1/6 (pow y 2)) 1))) z)) 1)))
(/ (* z (- (* 1/2 (pow y 2)) 1)) x)
(* -1 (* z (+ (* -1 (/ (* y (- (* 1/6 (pow y 2)) 1)) z)) (* -1 (/ (- (* 1/2 (pow y 2)) 1) x)))))

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (cos y) z) (* (sin y) x)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (* (+ (* -1/6 (* y y)) 1) x) (* (neg x) (+ (* (+ (* 1/6 (* y y)) -1) y) (/ (+ (* (* (* y y) z) -1/2) z) (neg x)))) (/ (+ (* (* (* y y) z) -1/2) z) (neg x)) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (sqrt (* x (sin y))) (sqrt (* x (sin y)))) (* (cos y) z)) (sqrt (* x (sin y))) (* x (sin y)) (sin y) (+ (* -1/6 (* y y)) 1) (* (* y y) z) (+ (* (+ (* 1/6 (* y y)) -1) y) (/ (+ (* (* (* y y) z) -1/2) z) (neg x))) (cos y))
5.0ms	x	@	-inf	((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (cos y) z) (* (sin y) x)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (* (+ (* -1/6 (* y y)) 1) x) (* (neg x) (+ (* (+ (* 1/6 (* y y)) -1) y) (/ (+ (* (* (* y y) z) -1/2) z) (neg x)))) (/ (+ (* (* (* y y) z) -1/2) z) (neg x)) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (sqrt (* x (sin y))) (sqrt (* x (sin y)))) (* (cos y) z)) (sqrt (* x (sin y))) (* x (sin y)) (sin y) (+ (* -1/6 (* y y)) 1) (* (* y y) z) (+ (* (+ (* 1/6 (* y y)) -1) y) (/ (+ (* (* (* y y) z) -1/2) z) (neg x))) (cos y))
5.0ms	z	@	-inf	((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (cos y) z) (* (sin y) x)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (* (+ (* -1/6 (* y y)) 1) x) (* (neg x) (+ (* (+ (* 1/6 (* y y)) -1) y) (/ (+ (* (* (* y y) z) -1/2) z) (neg x)))) (/ (+ (* (* (* y y) z) -1/2) z) (neg x)) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (sqrt (* x (sin y))) (sqrt (* x (sin y)))) (* (cos y) z)) (sqrt (* x (sin y))) (* x (sin y)) (sin y) (+ (* -1/6 (* y y)) 1) (* (* y y) z) (+ (* (+ (* 1/6 (* y y)) -1) y) (/ (+ (* (* (* y y) z) -1/2) z) (neg x))) (cos y))
5.0ms	x	@	inf	((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (cos y) z) (* (sin y) x)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (* (+ (* -1/6 (* y y)) 1) x) (* (neg x) (+ (* (+ (* 1/6 (* y y)) -1) y) (/ (+ (* (* (* y y) z) -1/2) z) (neg x)))) (/ (+ (* (* (* y y) z) -1/2) z) (neg x)) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (sqrt (* x (sin y))) (sqrt (* x (sin y)))) (* (cos y) z)) (sqrt (* x (sin y))) (* x (sin y)) (sin y) (+ (* -1/6 (* y y)) 1) (* (* y y) z) (+ (* (+ (* 1/6 (* y y)) -1) y) (/ (+ (* (* (* y y) z) -1/2) z) (neg x))) (cos y))
4.0ms	y	@	inf	((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (cos y) z) (* (sin y) x)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (* (+ (* -1/6 (* y y)) 1) x) (* (neg x) (+ (* (+ (* 1/6 (* y y)) -1) y) (/ (+ (* (* (* y y) z) -1/2) z) (neg x)))) (/ (+ (* (* (* y y) z) -1/2) z) (neg x)) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (+ (* (sqrt (* x (sin y))) (sqrt (* x (sin y)))) (* (cos y) z)) (sqrt (* x (sin y))) (* x (sin y)) (sin y) (+ (* -1/6 (* y y)) 1) (* (* y y) z) (+ (* (+ (* 1/6 (* y y)) -1) y) (/ (+ (* (* (* y y) z) -1/2) z) (neg x))) (cos y))

simplify171.0ms (3.5%)

Memory

53.0MiB live, 53.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	1596
1	1248	1514
2	3906	1469
0	8172	1330

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 117

Calls

Call 1

Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
z
(+ z (* x y))
(* x y)
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))
(* x (+ 1 (* -1/6 (pow y 2))))
(+ z (+ (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) (* -1/2 (* (pow y 2) z))))
(* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x))
(sqrt (* x (sin y)))
(* x (sin y))
(/ (+ (* -1 (+ z (* -1/2 (* (pow y 2) z)))) (* x (* y (- (* 1/6 (pow y 2)) 1)))) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ y (/ z x)))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* x (+ (* -1 (* y (- (* 1/6 (pow y 2)) 1))) (+ (* -1/2 (/ (* (pow y 2) z) x)) (/ z x))))
(* y (- (* 1/6 (pow y 2)) 1))
(+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2)))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
x
(+ x (* -1/2 (* y z)))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1 (/ z x))
(+ (* -1 (/ z x)) (* 1/2 (/ (* (pow y 2) z) x)))
(sqrt (* x y))
(+ (sqrt (* x y)) (* -1/12 (sqrt (* x (pow y 5)))))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* 1/240 (sqrt (* x (pow y 3)))))))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ x y))) (* 1/240 (sqrt (/ 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)))))))
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))))
(+ 1 (* -1/6 (pow y 2)))
(* (pow y 2) z)
(+ (* -1 y) (* -1 (/ z x)))
(+ (* -1 (/ z x)) (* y (- (* 1/2 (/ (* y z) x)) 1)))
(+ (* -1 (/ z x)) (* y (- (* y (+ (* 1/6 y) (* 1/2 (/ z 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)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (sin y) z)
(* y (+ x (/ z y)))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* 1/2 (/ (* (pow y 2) z) x))
(* (pow y 2) (+ (* -1 (/ z (* x (pow y 2)))) (* 1/2 (/ z x))))
(sin y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* 1/6 (pow y 3))
(* (pow y 3) (+ 1/6 (* 1/2 (/ z (* x y)))))
(* (pow y 3) (- (+ 1/6 (* 1/2 (/ z (* x y)))) (/ 1 (pow y 2))))
(* (pow y 3) (- (+ 1/6 (+ (* -1 (/ z (* x (pow y 3)))) (* 1/2 (/ z (* x y))))) (/ 1 (pow y 2))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))
(* -1 (* (pow y 3) (- (* -1/2 (/ z (* x y))) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* 1/2 (/ z x)) (/ 1 y)) y)) 1/6)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ (* -1 (/ (+ 1 (/ z (* x y))) y)) (* 1/2 (/ z x))) y)) 1/6)))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(+ (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1)))) (* z (+ 1 (* -1/2 (pow y 2)))))
(* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x))
(+ (* -1 (/ (* z (+ 1 (* -1/2 (pow y 2)))) x)) (* y (- (* 1/6 (pow y 2)) 1)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (+ 1 (+ (* -1 (/ (* x (* y (- (* 1/6 (pow y 2)) 1))) z)) (* -1/2 (pow y 2)))))
(* z (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) x)) (/ (* y (- (* 1/6 (pow y 2)) 1)) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (- (+ (* 1/2 (pow y 2)) (/ (* x (* y (- (* 1/6 (pow y 2)) 1))) z)) 1)))
(/ (* z (- (* 1/2 (pow y 2)) 1)) x)
(* -1 (* z (+ (* -1 (/ (* y (- (* 1/6 (pow y 2)) 1)) z)) (* -1 (/ (- (* 1/2 (pow y 2)) 1) x)))))

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

rewrite202.0ms (4.1%)

Memory

73.3MiB live, 73.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	348
0	83	342
1	319	342
2	2413	342
0	9805	320

Stop Event

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

Counts

23 → 570

Calls

Call 1

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

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

eval107.0ms (2.2%)

Memory: 67.1MiB live, 67.1MiB allocated
Compiler: Compiled 38 544 to 3 375 computations (91.2% saved)

prune52.0ms (1.1%)

Memory

42.4MiB live, 42.4MiB allocated

Pruning

33 alts after pruning (29 fresh and 4 done)

	Pruned	Kept	Total
New	744	14	758
Fresh	5	15	20
Picked	3	2	5
Done	1	2	3
Total	753	33	786

Accuracy

100.0%

Counts

786 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
	24.8%	(fma.f64 (sqrt.f64 (.f64 (.f64 x (sin.f64 y)) x)) (sqrt.f64 (sin.f64 y)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
▶	50.8%	(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
✓	45.5%	(fma.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (.f64 x (sin.f64 y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
✓	99.9%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	77.3%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
	38.0%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow ( (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z))))
	19.9%	(/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(approx (pow (- (pow ( (sin y) x) 2) (pow (* (cos y) z) 2)) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))))
	77.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))))
	29.6%	#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (.f64 (neg.f64 x) x) z))) y x) y z))
	85.4%	#s(approx (+ (* (sqrt (* x (sin y))) (sqrt (* x (sin y)))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
	34.3%	#s(approx (+ (* (sqrt (* x (sin y))) (sqrt (* x (sin y)))) (* (cos y) z)) (*.f64 (sin.f64 y) x))
	81.8%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
	75.7%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
▶	92.4%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y))) x (cos.f64 y)) z))
	82.2%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z))
▶	67.2%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z))
	56.4%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
	26.8%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z))
▶	45.3%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
	58.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 x y))) y x) y z))
	50.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (fma.f64 y (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)) y z))
	43.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
	43.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (.f64 z y) #s(literal -1/2 binary64))) y z))
✓	58.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	58.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
	43.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z)))
	50.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 x (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z))) (.f64 (.f64 (neg.f64 x) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
▶	16.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (neg.f64 x) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
	50.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) y #s(approx (/ (+ (* (* (* y y) z) -1/2) z) (neg x)) (/.f64 (neg.f64 z) x))))))
	50.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (neg.f64 x) #s(approx (+ ( (+ (* 1/6 (* y y)) -1) y) (/ (+ (* (* (* y y) z) -1/2) z) (neg x))) (fma.f64 (/.f64 z x) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 y))))))
	51.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
✓	16.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

Compiler

Compiled 1 918 to 1 239 computations (35.4% saved)

simplify95.0ms (1.9%)

Memory

21.4MiB live, 21.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 z (cos.f64 y))
cost-diff	0	(sqrt.f64 (*.f64 z (cos.f64 y)))
cost-diff	8320	(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (neg.f64 x) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (neg.f64 x) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
cost-diff	0	#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)
cost-diff	0	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
cost-diff	0	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y))) x (cos.f64 y))
cost-diff	0	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y))) x (cos.f64 y)) z))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y)))
cost-diff	704	(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y))) x (cos.f64 y)) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	266
0	74	263
1	120	259
2	227	250
3	716	241
4	1853	241
5	3213	241
6	6802	241
0	8511	225

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (2.4%)

Memory

40.8MiB live, 40.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(sqrt.f64 (*.f64 z (cos.f64 y)))
accuracy	0.046875	(*.f64 z (cos.f64 y))
accuracy	0.0546875	(*.f64 x (sin.f64 y))
accuracy	0.174160009768442	(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
accuracy	0	(cos.f64 y)
accuracy	0.046875	(*.f64 (cos.f64 y) z)
accuracy	12.296214516191785	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z))
accuracy	0.03515625	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
accuracy	0.26620753430309574	(.f64 (.f64 (neg.f64 x) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
accuracy	12.94761666211021	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (neg.f64 x) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
accuracy	16.754005798623062	#s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (neg.f64 x) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
accuracy	0	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
accuracy	3.3565368723538547	(.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)
accuracy	18.190341723015603	#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64))
accuracy	0.03515625	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y))) x (cos.f64 y))
accuracy	0.0546875	(/.f64 z (sin.f64 y))
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y)))
accuracy	3.3565368723538547	(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y))) x (cos.f64 y)) z)

Samples

46.0ms	131×	0	valid
44.0ms	125×	0	invalid

Compiler

Compiled 461 to 94 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 29.0ms (42.7% of total)

ival-add: 11.0ms (16.2% of total)

const: 7.0ms (10.3% of total)

ival-cos: 6.0ms (8.8% of total)

ival-div: 5.0ms (7.4% of total)

ival-sin: 5.0ms (7.4% of total)

ival-sqrt: 2.0ms (2.9% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series30.0ms (0.6%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

21 → 74

Calls

Call 1

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

Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* x y))
(* -1 x)
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x 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))))))
(+ 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)))
(sqrt z)
(+ (sqrt z) (* -1/4 (* (pow y 2) (sqrt z))))
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* 1/2 (* (* (pow y 2) (- (* 1/24 z) (* 1/16 z))) (sqrt (/ 1 z)))))))
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* 1/24 z) (* 1/16 z)))) (* 1/2 (* (* (pow y 2) (- (* -1/720 z) (* -1/4 (- (* 1/24 z) (* 1/16 z))))) (sqrt (/ 1 z)))))))))
(/ z y)
(/ (+ z (* 1/6 (* (pow y 2) z))) y)
(/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
-1
(- (* 1/6 (pow y 2)) 1)
(* 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)))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (sin y) z)
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(sqrt (* z (cos y)))
(/ z (sin y))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	((* (+ (* (/ 1 (/ z (sin y))) x) (cos y)) z) (/ 1 (/ z (sin y))) (+ (* (cos y) z) (* (sin y) x)) (+ (* (/ 1 (/ z (sin y))) x) (cos y)) (+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (neg x) y) (neg x) (+ (* (cos y) z) (* (sin y) x)) (* (cos y) z) (cos y) (+ (* (sqrt (* z (cos y))) (sqrt (* z (cos y)))) (* x (sin y))) (sqrt (* z (cos y))) (* z (cos y)) (/ z (sin y)) (* (* (neg x) y) (+ (* 1/6 (* y y)) -1)) (+ (* 1/6 (* y y)) -1) (* x (sin y)))
3.0ms	x	@	0	((* (+ (* (/ 1 (/ z (sin y))) x) (cos y)) z) (/ 1 (/ z (sin y))) (+ (* (cos y) z) (* (sin y) x)) (+ (* (/ 1 (/ z (sin y))) x) (cos y)) (+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (neg x) y) (neg x) (+ (* (cos y) z) (* (sin y) x)) (* (cos y) z) (cos y) (+ (* (sqrt (* z (cos y))) (sqrt (* z (cos y)))) (* x (sin y))) (sqrt (* z (cos y))) (* z (cos y)) (/ z (sin y)) (* (* (neg x) y) (+ (* 1/6 (* y y)) -1)) (+ (* 1/6 (* y y)) -1) (* x (sin y)))
3.0ms	y	@	inf	((* (+ (* (/ 1 (/ z (sin y))) x) (cos y)) z) (/ 1 (/ z (sin y))) (+ (* (cos y) z) (* (sin y) x)) (+ (* (/ 1 (/ z (sin y))) x) (cos y)) (+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (neg x) y) (neg x) (+ (* (cos y) z) (* (sin y) x)) (* (cos y) z) (cos y) (+ (* (sqrt (* z (cos y))) (sqrt (* z (cos y)))) (* x (sin y))) (sqrt (* z (cos y))) (* z (cos y)) (/ z (sin y)) (* (* (neg x) y) (+ (* 1/6 (* y y)) -1)) (+ (* 1/6 (* y y)) -1) (* x (sin y)))
3.0ms	x	@	inf	((* (+ (* (/ 1 (/ z (sin y))) x) (cos y)) z) (/ 1 (/ z (sin y))) (+ (* (cos y) z) (* (sin y) x)) (+ (* (/ 1 (/ z (sin y))) x) (cos y)) (+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (neg x) y) (neg x) (+ (* (cos y) z) (* (sin y) x)) (* (cos y) z) (cos y) (+ (* (sqrt (* z (cos y))) (sqrt (* z (cos y)))) (* x (sin y))) (sqrt (* z (cos y))) (* z (cos y)) (/ z (sin y)) (* (* (neg x) y) (+ (* 1/6 (* y y)) -1)) (+ (* 1/6 (* y y)) -1) (* x (sin y)))
3.0ms	x	@	-inf	((* (+ (* (/ 1 (/ z (sin y))) x) (cos y)) z) (/ 1 (/ z (sin y))) (+ (* (cos y) z) (* (sin y) x)) (+ (* (/ 1 (/ z (sin y))) x) (cos y)) (+ (* (cos y) z) (* (sin y) x)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (* (neg x) y) (neg x) (+ (* (cos y) z) (* (sin y) x)) (* (cos y) z) (cos y) (+ (* (sqrt (* z (cos y))) (sqrt (* z (cos y)))) (* x (sin y))) (sqrt (* z (cos y))) (* z (cos y)) (/ z (sin y)) (* (* (neg x) y) (+ (* 1/6 (* y y)) -1)) (+ (* 1/6 (* y y)) -1) (* x (sin y)))

simplify161.0ms (3.3%)

Memory

46.0MiB live, 46.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	952
1	932	905
2	3134	879
3	7437	875
0	8169	793

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 73

Calls

Call 1

Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(+ z (* -1/2 (* (pow y 2) z)))
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(* -1 (* x y))
(* -1 x)
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(/ y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
1
(+ 1 (/ (* x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x 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))))))
(+ 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)))
(sqrt z)
(+ (sqrt z) (* -1/4 (* (pow y 2) (sqrt z))))
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* 1/2 (* (* (pow y 2) (- (* 1/24 z) (* 1/16 z))) (sqrt (/ 1 z)))))))
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* 1/24 z) (* 1/16 z)))) (* 1/2 (* (* (pow y 2) (- (* -1/720 z) (* -1/4 (- (* 1/24 z) (* 1/16 z))))) (sqrt (/ 1 z)))))))))
(/ z y)
(/ (+ z (* 1/6 (* (pow y 2) z))) y)
(/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
-1
(- (* 1/6 (pow y 2)) 1)
(* 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)))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (sin y) z)
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(sqrt (* z (cos y)))
(/ z (sin y))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))

Outputs
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z)
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) z)) y x) y z)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 y))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(/ (* x (sin y)) z)
(*.f64 (/.f64 (sin.f64 y) z) x)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) x)
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) (/.f64 z x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(*.f64 (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)) x)
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64)) (/.f64 z (neg.f64 x)) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) y)) (neg.f64 x))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) z)) y x) y z)
(/ y z)
(/.f64 y z)
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal -1/6 binary64) (/.f64 y z))
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (/.f64 y z))
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (.f64 y y) z) (fma.f64 (.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 y z))
1
#s(literal 1 binary64)
(+ 1 (/ (* x y) z))
(fma.f64 (/.f64 y z) x #s(literal 1 binary64))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 x z) #s(literal -1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (.f64 z (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64))) (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z))
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) (.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(sqrt z)
(sqrt.f64 z)
(+ (sqrt z) (* -1/4 (* (pow y 2) (sqrt z))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 1 binary64)) (sqrt.f64 z))
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* 1/2 (* (* (pow y 2) (- (* 1/24 z) (* 1/16 z))) (sqrt (/ 1 z)))))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) z) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 z))) (.f64 y y) (sqrt.f64 z))
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* 1/24 z) (* 1/16 z)))) (* 1/2 (* (* (pow y 2) (- (* -1/720 z) (* -1/4 (- (* 1/24 z) (* 1/16 z))))) (sqrt (/ 1 z)))))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 z #s(literal -19/2880 binary64)) y) y (.f64 #s(literal -1/48 binary64) z))) (.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 z)))
(/ z y)
(/.f64 z y)
(/ (+ z (* 1/6 (* (pow y 2) z))) y)
(/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) z z) y)
(/ (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/.f64 (-.f64 z (.f64 (.f64 y y) (.f64 z (fma.f64 #s(literal -7/360 binary64) (.f64 y y) #s(literal -1/6 binary64))))) y)
(/ (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) y)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 z #s(literal -31/15120 binary64)) y) (neg.f64 y) (.f64 #s(literal 7/360 binary64) z)) (.f64 y y) (.f64 #s(literal 1/6 binary64) z)) (.f64 y y) z) y)
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
-1
#s(literal -1 binary64)
(- (* 1/6 (pow y 2)) 1)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 (fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (.f64 y y) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -1/5040 binary64) x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (.f64 x y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(/ (sin y) z)
(/.f64 (sin.f64 y) z)
(* -1/6 (* x (pow y 3)))
(.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/6 binary64))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) x)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (.f64 y y)))) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) x (+.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 x (.f64 y y))))) (pow.f64 y #s(literal 3 binary64)))
(sqrt (* z (cos y)))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(/ z (sin y))
(/.f64 z (sin.f64 y))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (.f64 y y))) (pow.f64 y #s(literal 3 binary64)))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* (pow y 2) (- 1/6 (/ 1 (pow y 2))))
(.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) x)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 x y)) (neg.f64 y)))) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (+.f64 (/.f64 z y) x) y)) (neg.f64 y))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 x (.f64 y y))) (pow.f64 y #s(literal 3 binary64)))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z)
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 x y) #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) z)) y x) y z)
(* z (+ 1 (* -1/2 (pow y 2))))
(fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z)
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x z) (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y y))) z)
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(.f64 (neg.f64 z) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) (/.f64 x (neg.f64 z)) (fma.f64 #s(literal 1/2 binary64) (.f64 y y) #s(literal -1 binary64))))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (cos.f64 y) z))

rewrite162.0ms (3.3%)

Memory

56.4MiB live, 56.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	240
0	74	223
1	256	223
2	1531	223
0	8489	212

Stop Event

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

Counts

21 → 501

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (pow.f64 (-.f64 (.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z) (pow.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 z (-.f64 (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (pow.f64 (-.f64 (.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) #s(literal -1 binary64)))
(.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 x (/.f64 (sin.f64 y) z))) (.f64 z (.f64 x (/.f64 (sin.f64 y) z)))) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (.f64 z (.f64 x (/.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) z)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))) (-.f64 (.f64 (cos.f64 y) z) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (.f64 (.f64 z (.f64 x (/.f64 (sin.f64 y) z))) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))) (-.f64 (.f64 (cos.f64 y) z) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z) (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z) (.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (.f64 x (/.f64 (sin.f64 y) z))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (.f64 z (.f64 x (/.f64 (sin.f64 y) z))) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))) (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (.f64 (.f64 z (.f64 x (/.f64 (sin.f64 y) z))) (.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z)) (.f64 (.f64 (cos.f64 y) z) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 x (/.f64 (sin.f64 y) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z (.f64 x (/.f64 (sin.f64 y) z))) (.f64 z (.f64 x (/.f64 (sin.f64 y) z)))) (.f64 (.f64 (cos.f64 y) z) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 z (-.f64 (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (neg.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))
(/.f64 (.f64 z (-.f64 (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))
(/.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))
(/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)) (.f64 z (-.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))))))
(fma.f64 (fabs.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) z) z))) (fabs.f64 (sqrt.f64 (cos.f64 y))) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (fabs.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) z) z))) (fabs.f64 (sqrt.f64 (cos.f64 y))) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (fabs.f64 (sqrt.f64 z)) (fabs.f64 (sqrt.f64 (.f64 (cos.f64 y) (.f64 (cos.f64 y) z)))) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (fabs.f64 (sqrt.f64 z)) (fabs.f64 (sqrt.f64 (.f64 (cos.f64 y) (.f64 (cos.f64 y) z)))) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 z) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (fabs.f64 (cos.f64 y)) (fabs.f64 z) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (fabs.f64 z) (fabs.f64 (cos.f64 y)) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (fabs.f64 z) (fabs.f64 (cos.f64 y)) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) z) (cos.f64 y))) (sqrt.f64 z) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) z) (cos.f64 y))) (sqrt.f64 z) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3/2 binary64))) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 1/4 binary64)) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3/2 binary64))) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 1/4 binary64)) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
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(+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 y y) #s(literal 1/6 binary64)))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) x))

eval82.0ms (1.7%)

Memory: 52.6MiB live, 52.6MiB allocated
Compiler: Compiled 20 054 to 2 224 computations (88.9% saved)

prune51.0ms (1%)

Memory

39.9MiB live, 39.9MiB allocated

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	595	11	606
Fresh	8	16	24
Picked	2	3	5
Done	0	4	4
Total	605	34	639

Accuracy

100.0%

Counts

639 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 (sin.f64 y) x)))))
	50.8%	(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
✓	45.5%	(fma.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (.f64 x (sin.f64 y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
✓	99.9%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	77.3%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
	77.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))))
	85.4%	#s(approx (+ (* (sqrt (* x (sin y))) (sqrt (* x (sin y)))) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
	34.3%	#s(approx (+ (* (sqrt (* x (sin y))) (sqrt (* x (sin y)))) (* (cos y) z)) (*.f64 (sin.f64 y) x))
	31.7%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))
	81.8%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
	92.3%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))))
✓	92.4%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (sin.f64 y))) x (cos.f64 y)) z))
	92.4%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (neg.f64 z) (sin.f64 y))) (cos.f64 y)) z))
	54.1%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z))
	82.2%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 (.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 y) (.f64 x (/.f64 (sin.f64 y) z))))) z))
✓	67.2%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z))
	56.4%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
	26.8%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z))
✓	45.3%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
	43.5%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (cos y) (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) z))
	16.4%	#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) (neg.f64 x))))
	43.5%	#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
	58.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 x y))) y x) y z))
	50.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (fma.f64 y (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)) y z))
	43.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
	43.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (.f64 z y) #s(literal -1/2 binary64))) y z))
✓	58.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	58.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
	50.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 x (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z))) (.f64 (.f64 (neg.f64 x) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
	7.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (/.f64 (neg.f64 (.f64 x x)) x) y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))))
	2.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (neg.f64 x) y) #s(approx (+ (* 1/6 (* y y)) -1) (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
	50.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (neg.f64 x) #s(approx (+ ( (+ (* 1/6 (* y y)) -1) y) (/ (+ (* (* (* y y) z) -1/2) z) (neg x))) (fma.f64 (/.f64 z x) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 y))))))
	51.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
✓	16.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

Compiler

Compiled 2 671 to 939 computations (64.8% saved)

regimes77.0ms (1.6%)

Memory

27.9MiB live, 27.9MiB allocated

Counts

61 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes48.0ms (1%)

Memory

18.6MiB live, 18.6MiB 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 (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (.f64 z y) #s(literal -1/2 binary64))) y z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (cos y) (fma.f64 (.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (/.f64 (*.f64 x y) z) z z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (neg.f64 x) y) #s(approx (+ (* 1/6 (* y y)) -1) (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) x)) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 x y))) y x) y z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (neg.f64 x) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))))
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) y) (neg.f64 x))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal -1 binary64)) (neg.f64 z))))
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (neg.f64 x) #s(approx (+ ( (+ (* 1/6 (* y y)) -1) y) (/ (+ (* (* (* y y) z) -1/2) z) (neg x))) (fma.f64 (/.f64 z x) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 y))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) y #s(approx (/ (+ (* (* (* y y) z) -1/2) z) (neg x)) (/.f64 (neg.f64 z) x))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (/.f64 (neg.f64 (.f64 x x)) x) y) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (fma.f64 y (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64)) x)) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) (.f64 (fma.f64 (.f64 (/.f64 z x) y) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x)) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal -1 binary64)) y (/.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z) (neg.f64 x))))))
#s(approx (/ (pow (+ (* (neg z) (cos y)) (* (sin y) x)) -1) (pow (- (pow (* (sin y) x) 2) (pow (* (cos y) z) 2)) -1)) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 x x (.f64 z z)) (neg.f64 z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (.f64 (neg.f64 x) x) z))) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 (* y x)) (* -1/2 z)) y) x) y) z) (fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 x (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z))) (.f64 (.f64 (neg.f64 x) y) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (sqrt (* x (sin y))) (sqrt (* x (sin y)))) (* (cos y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))))

Outputs

#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 (sin.f64 y) x))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
89.1%	3	`x`
83.5%	4	`y`
92.8%	3	`z`
81.2%	3	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes33.0ms (0.7%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

31 → 4

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	z
10.0ms	y
10.0ms	x

Results

Accuracy	Segments	Branch
83.3%	4	`y`
78.8%	3	`x`
81.0%	3	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes12.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
81.5%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes40.0ms (0.8%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
58.9%	1	`x`
58.9%	1	`z`
58.9%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
58.9%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB 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 (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
45.3%	1	`y`
50.1%	3	`z`
45.3%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
50.4%	3	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes8.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB 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:

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

Results

Accuracy	Segments	Branch
16.8%	1	`y`
16.8%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
16.8%	1	`z`
16.8%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch27.0ms (0.6%)

Memory

7.0MiB live, 7.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.7521538585803194e+30	2.2976479372772876e+36
6.0ms	-2892035835358384000.0	-2201295532056465200.0

Samples

17.0ms

192×

valid

Compiler

Compiled 300 to 278 computations (7.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-cos: 4.0ms (33.9% of total)

ival-sin: 4.0ms (33.9% of total)

ival-mult: 3.0ms (25.4% of total)

ival-add: 1.0ms (8.5% of total)

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

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

bsearch56.0ms (1.1%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	0.0009370032138680851	354225.9759940963
16.0ms	-0.0010204134044549623	-9.246546906620775e-10
19.0ms	-1.9408882917852085e+260	-3.460530509381184e+258

Samples

35.0ms

400×

valid

Compiler

Compiled 1 067 to 808 computations (24.3% saved)

Precisions

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

ival-sin: 8.0ms (34% of total)

ival-cos: 7.0ms (29.7% of total)

ival-mult: 6.0ms (25.5% of total)

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

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

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

bsearch3.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0009370032138680851	354225.9759940963
1.0ms	-0.0010204134044549623	-9.246546906620775e-10

Compiler

Compiled 822 to 626 computations (23.8% saved)

bsearch45.0ms (0.9%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	3.7048344956968523e+196	1.7186952167453558e+207
21.0ms	-6.039727487490424e+235	-3.82161642309328e+224

Samples

29.0ms

320×

valid

Compiler

Compiled 852 to 614 computations (27.9% saved)

Precisions

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

ival-sin: 7.0ms (35.8% of total)

ival-cos: 6.0ms (30.7% of total)

ival-mult: 5.0ms (25.6% of total)

ival-add: 2.0ms (10.2% of total)

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

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

simplify30.0ms (0.6%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	315
1	76	315

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -2300000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 62000000000000004047596507103232 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -100000000000000006533477610574617307003210399478293629775643192173126922026988747893522897194624310120140586361897943794063686207001388689898137223574581962294638641248120402340847172549022642470747494264132908839774942043776657045497009088429335535195969814528 binary64)) #s(approx (+ (* (sqrt (* x (sin y))) (sqrt (* x (sin y)))) (* (cos y) z)) (.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 208967022709991/72057594037927936 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 x y))) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 y #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 208967022709991/72057594037927936 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 x y))) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal -1479999999999999969069187301046382431686039457462634114646206853936903231668160884617009752387919977998229115902546611463203943442492964953727472265251399860321601999013609678402266498214925360504921382248248802394955535402139648 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) (if (<=.f64 x #s(literal 859999999999999976417968973658573817909695272685095753509644144659145998648803638421548114119280900607097417215551937072608397588191071646615748940909937908889870945330828361333338090442529261450243866624 binary64)) #s(approx (+ ( (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) #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 x y)))

Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(if (<=.f64 z #s(literal -2300000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 62000000000000004047596507103232 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -2300000000000000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 62000000000000004047596507103232 binary64)) (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)))))
(if (<=.f64 y #s(literal -100000000000000006533477610574617307003210399478293629775643192173126922026988747893522897194624310120140586361897943794063686207001388689898137223574581962294638641248120402340847172549022642470747494264132908839774942043776657045497009088429335535195969814528 binary64)) #s(approx (+ (* (sqrt (* x (sin y))) (sqrt (* x (sin y)))) (* (cos y) z)) (.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 208967022709991/72057594037927936 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 x y))) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 y #s(literal -100000000000000006533477610574617307003210399478293629775643192173126922026988747893522897194624310120140586361897943794063686207001388689898137223574581962294638641248120402340847172549022642470747494264132908839774942043776657045497009088429335535195969814528 binary64)) #s(approx (+ (* (sqrt (* x (sin y))) (sqrt (* x (sin y)))) (* (cos y) z)) (.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 208967022709991/72057594037927936 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 (.f64 x y) #s(literal -1/6 binary64))) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))
(if (<=.f64 y #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 208967022709991/72057594037927936 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 x y))) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 208967022709991/72057594037927936 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* y x)) (* -1/2 z)) (.f64 (.f64 x y) #s(literal -1/6 binary64))) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal -1479999999999999969069187301046382431686039457462634114646206853936903231668160884617009752387919977998229115902546611463203943442492964953727472265251399860321601999013609678402266498214925360504921382248248802394955535402139648 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) (if (<=.f64 x #s(literal 859999999999999976417968973658573817909695272685095753509644144659145998648803638421548114119280900607097417215551937072608397588191071646615748940909937908889870945330828361333338090442529261450243866624 binary64)) #s(approx (+ ( (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)) #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 x y)))

soundness908.0ms (18.6%)

Memory

7.7MiB live, 7.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	199
0	65	178
1	246	178
2	1631	178
0	8689	177
0	109	288
1	344	284
2	981	274
3	2645	268
4	4662	268
5	6960	268
0	8192	233
0	389	1596
1	1248	1514
2	3906	1469
0	8172	1330
0	656	3143
1	2188	3028
2	7785	3022
0	8163	2830
0	8	21
0	13	21
1	29	21
2	185	21
3	1836	21
0	8391	20

Stop Event

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

Compiler

Compiled 546 to 217 computations (60.3% saved)

preprocess50.0ms (1%)

Memory: 25.4MiB live, 25.4MiB allocated
Compiler: Compiled 648 to 154 computations (76.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample871.0ms (17.9%)

explain110.0ms (2.3%)

preprocess42.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize27.0ms (0.5%)

series8.0ms (0.2%)

simplify129.0ms (2.6%)

rewrite149.0ms (3.1%)

eval19.0ms (0.4%)

prune9.0ms (0.2%)

simplify98.0ms (2%)

localize91.0ms (1.9%)

series40.0ms (0.8%)

simplify132.0ms (2.7%)

rewrite149.0ms (3%)

eval108.0ms (2.2%)

prune45.0ms (0.9%)

simplify90.0ms (1.8%)

localize134.0ms (2.8%)

series48.0ms (1%)

simplify171.0ms (3.5%)

rewrite202.0ms (4.1%)

eval107.0ms (2.2%)

prune52.0ms (1.1%)

simplify95.0ms (1.9%)

localize119.0ms (2.4%)

series30.0ms (0.6%)

simplify161.0ms (3.3%)

rewrite162.0ms (3.3%)

eval82.0ms (1.7%)

prune51.0ms (1%)

regimes77.0ms (1.6%)

regimes48.0ms (1%)

regimes33.0ms (0.7%)

regimes12.0ms (0.2%)

regimes40.0ms (0.8%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

bsearch27.0ms (0.6%)

bsearch56.0ms (1.1%)

bsearch3.0ms (0.1%)

bsearch45.0ms (0.9%)

simplify30.0ms (0.6%)

soundness908.0ms (18.6%)

preprocess50.0ms (1%)

end0.0ms (0%)

Profiling