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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (17.2%)

Memory

97.1MiB live, 1 945.2MiB allocated; 536ms collecting garbage

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 709.0ms

ival-sin: 249.0ms (35.1% of total)

ival-mult: 222.0ms (31.3% of total)

ival-cos: 162.0ms (22.8% of total)

ival-add: 65.0ms (9.2% of total)

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

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

adjust: 2.0ms (0.3% of total)

Bogosity

explain137.0ms (1.8%)

Memory

-14.7MiB live, 225.8MiB allocated; 29ms collecting garbage

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

79.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 29.0ms (46.6% of total)

ival-sin: 20.0ms (32.2% of total)

ival-cos: 11.0ms (17.7% of total)

ival-add: 2.0ms (3.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess188.0ms (2.5%)

Memory

22.8MiB live, 206.2MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	84
1	92	81
2	188	81
3	330	81
4	632	81
5	1450	81
6	3596	81
7	6690	81
0	8	9
0	13	9
1	26	9
2	47	9
3	95	9
4	188	9
5	450	9
6	1149	9
7	2603	9
8	5293	9
0	8234	8

Stop Event

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

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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify165.0ms (2.2%)

Memory

-9.1MiB live, 189.4MiB allocated; 22ms collecting garbage

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	1	(+.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	26	24
2	47	24
3	95	24
4	188	24
5	450	24
6	1149	24
7	2603	24
8	5293	24
0	8234	23

Stop Event

1×	iter limit
1×	node limit
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)

localize55.0ms (0.7%)

Memory

6.3MiB live, 53.0MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 y)
accuracy	0.00390625	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
accuracy	0.10546875	(*.f64 z (cos.f64 y))
accuracy	0.11328125	(*.f64 x (sin.f64 y))

Samples

48.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-sin: 6.0ms (37.9% of total)

ival-cos: 5.0ms (31.6% of total)

ival-mult: 3.0ms (18.9% of total)

ival-add: 1.0ms (6.3% of total)

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

adjust: 0.0ms (0% of total)

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

series44.0ms (0.6%)

Memory

-22.3MiB live, 31.4MiB allocated; 5ms collecting garbage

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
35.0ms	y	@	-inf	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))
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	z	@	0	((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y))

simplify171.0ms (2.3%)

Memory

27.4MiB live, 154.3MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	288
1	417	284
2	1479	274
3	3945	272
4	7797	272
0	8009	241

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

rewrite210.0ms (2.8%)

Memory

-3.7MiB live, 334.1MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	39	21
2	251	21
3	2629	21
0	8333	20

Stop Event

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

Counts

5 → 271

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

eval89.0ms (1.2%)

Memory: -1.0MiB live, 197.5MiB allocated; 26ms collecting garbage
Compiler: Compiled 7 595 to 796 computations (89.5% saved)

prune49.0ms (0.6%)

Memory

4.9MiB live, 51.7MiB allocated; 2ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	279	14	293
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	280	14	294

Accuracy

99.9%

Counts

294 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.4%	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.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 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
	41.2%	(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.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)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
▶	35.4%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
	44.3%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
▶	34.2%	(fma.f64 (sqrt.f64 (.f64 (.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
	56.8%	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
▶	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
	44.3%	(+.f64 (.f64 x (sin.f64 y)) (.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z)))
	99.8%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) (.f64 #s(literal 1 binary64) (cos.f64 y))))))))
	78.4%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	50.4%	#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))
	50.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
▶	51.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
▶	57.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))

Compiler

Compiled 636 to 376 computations (40.9% saved)

simplify126.0ms (1.7%)

Memory

0.7MiB live, 191.6MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 (sin.f64 y) x)
cost-diff	0	(.f64 (.f64 (sin.f64 y) x) x)
cost-diff	0	(sqrt.f64 (.f64 (.f64 (sin.f64 y) x) x))
cost-diff	0	(fma.f64 (sqrt.f64 (.f64 (.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
cost-diff	0	(pow.f64 (sin.f64 y) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
cost-diff	0	(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x))
cost-diff	0	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 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	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	153
0	44	151
1	74	151
2	135	151
3	287	151
4	591	151
5	1241	151
6	2846	151
7	5706	151
0	8555	151

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (2%)

Memory

-1.9MiB live, 194.2MiB allocated; 16ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.02734375	(.f64 (.f64 (sin.f64 y) x) x)
accuracy	0.02734375	(*.f64 (sin.f64 y) x)
accuracy	0.02734375	(*.f64 (cos.f64 y) z)
accuracy	6.649223137739192	(sqrt.f64 (.f64 (.f64 (sin.f64 y) x) x))
accuracy	0.02734375	(*.f64 (cos.f64 y) z)
accuracy	0.08431625976844201	(pow.f64 (sin.f64 y) #s(literal 2 binary64))
accuracy	0.4672105929114714	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
accuracy	3.000095130041735	(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x))
accuracy	0.0	(cos.f64 y)
accuracy	0.02734375	(*.f64 (cos.f64 y) z)
accuracy	6.449328134298466	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
accuracy	0.0	(fma.f64 y x z)
accuracy	8.134427064307957	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy	0.0	(sin.f64 y)
accuracy	0.0	(cos.f64 y)
accuracy	0.01953125	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
accuracy	0.02734375	(*.f64 (cos.f64 y) z)

Samples

103.0ms	194×	0	invalid
34.0ms	62×	0	valid

Compiler

Compiled 149 to 27 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-sqrt: 46.0ms (38.2% of total)

ival-add: 41.0ms (34.1% of total)

ival-mult: 13.0ms (10.8% of total)

ival-sin: 10.0ms (8.3% of total)

ival-cos: 7.0ms (5.8% of total)

ival-pow2: 2.0ms (1.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series61.0ms (0.8%)

Memory

-15.3MiB live, 36.8MiB allocated; 9ms collecting garbage

Counts

15 → 65

Calls

Call 1

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

Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
z
(+ z (* x y))
(* (sqrt x) (sin y))
(* x (pow (sin y) 2))
(* x (sqrt (sin y)))
(* (pow x 2) (sin y))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x y)
(* x (+ y (/ z x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -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))))
(* -1 (* x (sin y)))
(* -1 (* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (sqrt (sin y))))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ 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)))
(* (sqrt x) y)
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2)))))
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2)))))))
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x))))))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(* x (sqrt y))
(+ (* -1/12 (* x (sqrt (pow y 5)))) (* x (sqrt y)))
(+ (* x (sqrt y)) (* (pow y 3) (+ (* -1/12 (* x (sqrt (/ 1 y)))) (* 1/240 (* x (sqrt (pow y 3)))))))
(+ (* x (sqrt y)) (* (pow y 3) (+ (* -1/12 (* x (sqrt (/ 1 y)))) (* (pow y 2) (+ (* -1/288 (* x (sqrt (/ 1 y)))) (* 1/240 (* x (sqrt (/ 1 y)))))))))
(* (pow x 2) y)
(* y (+ (* -1/6 (* (pow x 2) (pow y 2))) (pow x 2)))
(* y (+ (* (pow y 2) (+ (* -1/6 (pow x 2)) (* 1/120 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* y (+ (* (pow y 2) (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* -1/5040 (* (pow x 2) (pow y 2))) (* 1/120 (pow x 2)))))) (pow x 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)))))))
(sin y)
(cos y)
(* y (+ x (/ z y)))
(pow (sin y) 2)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x y) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))

Calls

9 calls:

Time	Variable		Point	Expression
40.0ms	x	@	inf	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (+ (* (sqrt (* (* (sin y) x) x)) (sqrt (sin y))) (* (cos y) z)) (sqrt (* (* (sin y) x) x)) (* (* (sin y) x) x) (* (sin y) x))
5.0ms	y	@	-inf	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (+ (* (sqrt (* (* (sin y) x) x)) (sqrt (sin y))) (* (cos y) z)) (sqrt (* (* (sin y) x) x)) (* (* (sin y) x) x) (* (sin y) x))
4.0ms	x	@	-inf	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (+ (* (sqrt (* (* (sin y) x) x)) (sqrt (sin y))) (* (cos y) z)) (sqrt (* (* (sin y) x) x)) (* (* (sin y) x) x) (* (sin y) x))
4.0ms	x	@	0	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (+ (* (sqrt (* (* (sin y) x) x)) (sqrt (sin y))) (* (cos y) z)) (sqrt (* (* (sin y) x) x)) (* (* (sin y) x) x) (* (sin y) x))
3.0ms	y	@	inf	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (+ (* (sqrt (* (* (sin y) x) x)) (sqrt (sin y))) (* (cos y) z)) (sqrt (* (* (sin y) x) x)) (* (* (sin y) x) x) (* (sin y) x))

simplify253.0ms (3.3%)

Memory

-8.5MiB live, 204.5MiB allocated; 132ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	759
1	984	748
2	3635	703
3	7593	703
0	8008	642

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 63

Calls

Call 1

Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
z
(+ z (* x y))
(* (sqrt x) (sin y))
(* x (pow (sin y) 2))
(* x (sqrt (sin y)))
(* (pow x 2) (sin y))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x y)
(* x (+ y (/ z x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -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))))
(* -1 (* x (sin y)))
(* -1 (* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (sqrt (sin y))))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ 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)))
(* (sqrt x) y)
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2)))))
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2)))))))
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x))))))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(* x (sqrt y))
(+ (* -1/12 (* x (sqrt (pow y 5)))) (* x (sqrt y)))
(+ (* x (sqrt y)) (* (pow y 3) (+ (* -1/12 (* x (sqrt (/ 1 y)))) (* 1/240 (* x (sqrt (pow y 3)))))))
(+ (* x (sqrt y)) (* (pow y 3) (+ (* -1/12 (* x (sqrt (/ 1 y)))) (* (pow y 2) (+ (* -1/288 (* x (sqrt (/ 1 y)))) (* 1/240 (* x (sqrt (/ 1 y)))))))))
(* (pow x 2) y)
(* y (+ (* -1/6 (* (pow x 2) (pow y 2))) (pow x 2)))
(* y (+ (* (pow y 2) (+ (* -1/6 (pow x 2)) (* 1/120 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* y (+ (* (pow y 2) (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* -1/5040 (* (pow x 2) (pow y 2))) (* 1/120 (pow x 2)))))) (pow x 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)))))))
(sin y)
(cos y)
(* y (+ x (/ z y)))
(pow (sin y) 2)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x y) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))

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))
z
(+ z (* x y))
(fma.f64 x y z)
(* (sqrt x) (sin y))
(*.f64 (sqrt.f64 x) (sin.f64 y))
(* x (pow (sin y) 2))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
(* x (sqrt (sin y)))
(*.f64 (sqrt.f64 (sin.f64 y)) x)
(* (pow x 2) (sin y))
(.f64 (.f64 (sin.f64 y) x) x)
(* 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 y)
(*.f64 x y)
(* x (+ y (/ z x)))
(*.f64 (+.f64 (/.f64 z x) 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 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(*.f64 (sin.f64 y) x)
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* (sqrt x) (* (sin y) (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) (sin.f64 y))
(* -1 (* x (sin y)))
(*.f64 (neg.f64 x) (sin.f64 y))
(* -1 (* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (neg.f64 (sin.f64 y))) x)
(* -1 (* x (sqrt (sin y))))
(*.f64 (neg.f64 x) (sqrt.f64 (sin.f64 y)))
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) 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 x y) (.f64 #s(literal -1/2 binary64) z)) y x) y z)
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)) (-.f64 (.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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #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)))))
(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))) (.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (.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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 y y)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2)))))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) y)
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/120 (* (sqrt x) (pow y 2)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (sqrt.f64 x) (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 (sqrt.f64 x) y))
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* -1/5040 (* (sqrt x) (pow y 2))) (* 1/120 (sqrt x))))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 x))) y)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 (.f64 y y) x) x) y) y)
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(.f64 (fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 2/45 binary64) y) y #s(literal -1/3 binary64))) (.f64 y y) x) (*.f64 y y))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x (fma.f64 #s(literal -1/315 binary64) (.f64 y y) #s(literal 2/45 binary64))) (fma.f64 #s(literal -1/3 binary64) (.f64 (.f64 y y) x) x)) (.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 y y)) #s(literal 1/3 binary64)) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/315 binary64) (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 y y)) #s(literal 1/3 binary64))) (*.f64 y y))
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(+ (* -1/12 (* x (sqrt (pow y 5)))) (* x (sqrt y)))
(*.f64 x (fma.f64 #s(literal -1/12 binary64) (sqrt.f64 (pow.f64 y #s(literal 5 binary64))) (sqrt.f64 y)))
(+ (* x (sqrt y)) (* (pow y 3) (+ (* -1/12 (* x (sqrt (/ 1 y)))) (* 1/240 (* x (sqrt (pow y 3)))))))
(fma.f64 (.f64 x (fma.f64 #s(literal 1/240 binary64) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal -1/12 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (pow.f64 y #s(literal 3 binary64)) (*.f64 (sqrt.f64 y) x))
(+ (* x (sqrt y)) (* (pow y 3) (+ (* -1/12 (* x (sqrt (/ 1 y)))) (* (pow y 2) (+ (* -1/288 (* x (sqrt (/ 1 y)))) (* 1/240 (* x (sqrt (/ 1 y)))))))))
(fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x) (fma.f64 #s(literal 1/1440 binary64) (.f64 y y) #s(literal -1/12 binary64))) (pow.f64 y #s(literal 3 binary64)) (.f64 (sqrt.f64 y) x))
(* (pow x 2) y)
(.f64 (.f64 x x) y)
(* y (+ (* -1/6 (* (pow x 2) (pow y 2))) (pow x 2)))
(.f64 (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 x x)) y)
(* y (+ (* (pow y 2) (+ (* -1/6 (pow x 2)) (* 1/120 (* (pow x 2) (pow y 2))))) (pow x 2)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (pow.f64 y #s(literal 3 binary64)) (.f64 (*.f64 x x) y))
(* y (+ (* (pow y 2) (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* -1/5040 (* (pow x 2) (pow y 2))) (* 1/120 (pow x 2)))))) (pow x 2)))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) (.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 x x))) y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)
(* 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 (fma.f64 (.f64 (.f64 x (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64))) y) y (.f64 #s(literal -1/6 binary64) x)) (pow.f64 y #s(literal 3 binary64)) (*.f64 x y))
(sin y)
(sin.f64 y)
(cos y)
(cos.f64 y)
(* y (+ x (/ z y)))
(*.f64 (+.f64 (/.f64 z y) x) y)
(pow (sin y) 2)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (+.f64 (/.f64 z y) x) y)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 (*.f64 z x) (/.f64 y z) 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 (/ (* x y) z)) 1)))
(.f64 (neg.f64 z) (-.f64 (.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))

rewrite289.0ms (3.8%)

Memory

7.5MiB live, 426.4MiB allocated; 93ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	111
0	44	96
1	156	94
2	916	92
3	7368	92
0	8053	92

Stop Event

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

Counts

15 → 956

Calls

Call 1

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

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

eval149.0ms (2%)

Memory: 28.9MiB live, 207.6MiB allocated; 35ms collecting garbage
Compiler: Compiled 19 984 to 2 279 computations (88.6% saved)

prune100.0ms (1.3%)

Memory

-63.8MiB live, 157.2MiB allocated; 36ms collecting garbage

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	764	20	784
Fresh	6	3	9
Picked	2	3	5
Done	0	0	0
Total	772	26	798

Accuracy

100.0%

Counts

798 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x (*.f64 (cos.f64 y) z))
	41.2%	(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.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)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
	47.4%	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (sqrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	69.8%	(fma.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (sqrt.f64 #s(literal 2 binary64))) x (.f64 (cos.f64 y) z))
	66.6%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (/.f64 (neg.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))))
	47.4%	(fma.f64 (.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
▶	44.3%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
	33.2%	(fma.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
	56.8%	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
▶	78.4%	(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	85.8%	#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
	43.8%	#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x))
	50.4%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
	50.0%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
▶	92.3%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
	28.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (-.f64 (.f64 x y) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (*.f64 x y) z))))
	23.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 x y) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (*.f64 x y) z))))
✓	51.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	57.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) (.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 y)) (.f64 #s(literal 1 binary64) (cos.f64 y))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))) z))
✓	57.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
	35.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
	37.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	44.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
▶	17.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
▶	35.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #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)))

Compiler

Compiled 1 118 to 706 computations (36.9% saved)

simplify175.0ms (2.3%)

Memory

25.5MiB live, 357.8MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	233
0	65	233
1	122	233
2	305	233
3	935	233
4	2993	233
5	6262	233
0	8211	228

Stop Event

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

Calls

Call 1

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

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

localize176.0ms (2.3%)

Memory

-17.1MiB live, 172.6MiB allocated; 21ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(*.f64 (sin.f64 y) x)
accuracy	0.08203125	(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)
accuracy	0.09212875976844201	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	0.13671875	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
accuracy	0.0	(sin.f64 y)
accuracy	0.046875	(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
accuracy	0.0625	(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)
accuracy	15.79104965510465	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.0625	(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
accuracy	3.051074283089413	(.f64 z (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)))
accuracy	14.273523892301927	#s(approx (+ (* x (sin y)) (* z (cos y))) #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)))
accuracy	16.8300935936796	#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))
accuracy	0.0	(*.f64 x y)
accuracy	15.283950010785148	#s(approx (+ (* y x) z) (*.f64 x y))
accuracy	16.620552754852184	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
accuracy	0.0	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
accuracy	0.0546875	(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
accuracy	0.06640625	(/.f64 (sin.f64 y) z)
accuracy	2.8953908496588183	(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)

Samples

70.0ms	125×	0	invalid
66.0ms	131×	0	valid

Compiler

Compiled 179 to 36 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 50.0ms (61.7% of total)

ival-add: 7.0ms (8.6% of total)

ival-sin: 7.0ms (8.6% of total)

ival-cos: 5.0ms (6.2% of total)

const: 4.0ms (4.9% of total)

ival-sqrt: 3.0ms (3.7% of total)

ival-div: 2.0ms (2.5% of total)

ival-pow2: 2.0ms (2.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series59.0ms (0.8%)

Memory

18.6MiB live, 60.9MiB allocated; 14ms collecting garbage

Counts

21 → 77

Calls

Call 1

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

Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
z
(+ z (* x y))
(* x y)
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x (+ y (/ 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 y) (* -1 (/ z x)))))
(+ 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)))
(+ 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))))))
(* -1/2 z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ 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) (* -1/2 (* (pow y 2) (sqrt z))))
(+ (sqrt z) (* (pow y 2) (+ (* -1/2 (sqrt z)) (* 1/24 (* (pow y 2) (sqrt z))))))
(+ (sqrt z) (* (pow y 2) (+ (* -1/2 (sqrt z)) (* (pow y 2) (+ (* -1/720 (* (pow y 2) (sqrt z))) (* 1/24 (sqrt z)))))))
(+ z (* -1 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
-1/2
(- (* 1/24 (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)))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (sin y) z)
(* y (+ x (/ z y)))
(* 1/24 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(* 1/24 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(sin y)
(* (sqrt z) (cos y))
(* z (pow (cos y) 2))
(pow (cos y) 2)
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* z (+ 1 (/ (* x y) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 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
35.0ms	z	@	0	((+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (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))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (sqrt (* (pow (cos y) 2) z)) (* (pow (cos y) 2) z) (pow (cos y) 2) (+ (* 1/24 (* y y)) -1/2) (* (sin y) x))
5.0ms	z	@	-inf	((+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (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))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (sqrt (* (pow (cos y) 2) z)) (* (pow (cos y) 2) z) (pow (cos y) 2) (+ (* 1/24 (* y y)) -1/2) (* (sin y) x))
4.0ms	z	@	inf	((+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (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))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (sqrt (* (pow (cos y) 2) z)) (* (pow (cos y) 2) z) (pow (cos y) 2) (+ (* 1/24 (* y y)) -1/2) (* (sin y) x))
3.0ms	y	@	inf	((+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (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))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (sqrt (* (pow (cos y) 2) z)) (* (pow (cos y) 2) z) (pow (cos y) 2) (+ (* 1/24 (* y y)) -1/2) (* (sin y) x))
3.0ms	y	@	-inf	((+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (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))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* (sqrt (* (pow (cos y) 2) z)) (sqrt z)) (* (sin y) x)) (sqrt (* (pow (cos y) 2) z)) (* (pow (cos y) 2) z) (pow (cos y) 2) (+ (* 1/24 (* y y)) -1/2) (* (sin y) x))

simplify281.0ms (3.7%)

Memory

-18.6MiB live, 219.3MiB allocated; 57ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	818
1	926	791
2	3270	766
3	7464	764
0	8943	700

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 75

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

rewrite225.0ms (3%)

Memory

21.5MiB live, 448.2MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	203
0	65	203
1	236	199
2	1525	196
0	8223	190

Stop Event

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

Counts

21 → 477

Calls

Call 1

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

Outputs
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.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)
(*.f64 z (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z) (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z) (.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)) #s(literal 3 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)) (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)) (.f64 z (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z) (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z)) (.f64 (.f64 z (cos.f64 y)) (.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)) (.f64 z (.f64 (/.f64 (sin.f64 y) z) x))) (.f64 (.f64 z (cos.f64 y)) (.f64 z (*.f64 (/.f64 (sin.f64 y) z) x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 z (-.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))))
(/.f64 (neg.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))
(/.f64 (.f64 z (-.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))
(/.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (sqrt.f64 z)) (fabs.f64 (.f64 (sqrt.f64 z) (cos.f64 y))) (.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (fabs.f64 (sqrt.f64 z)) (fabs.f64 (.f64 (sqrt.f64 z) (cos.f64 y))) (.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (fabs.f64 (.f64 (sqrt.f64 z) (cos.f64 y))) (fabs.f64 (sqrt.f64 z)) (.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (fabs.f64 (.f64 (sqrt.f64 z) (cos.f64 y))) (fabs.f64 (sqrt.f64 z)) (.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (sqrt.f64 (.f64 (.f64 z (cos.f64 y)) (sqrt.f64 z))) (sqrt.f64 (.f64 (sqrt.f64 z) (cos.f64 y))) (.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (sqrt.f64 (.f64 (.f64 z (cos.f64 y)) (sqrt.f64 z))) (sqrt.f64 (.f64 (sqrt.f64 z) (cos.f64 y))) (.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (sqrt.f64 (.f64 (.f64 z (cos.f64 y)) (.f64 (sqrt.f64 z) (cos.f64 y)))) (sqrt.f64 (sqrt.f64 z)) (.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (sqrt.f64 (.f64 (.f64 z (cos.f64 y)) (.f64 (sqrt.f64 z) (cos.f64 y)))) (sqrt.f64 (sqrt.f64 z)) (.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (sqrt.f64 (.f64 (.f64 z (cos.f64 y)) z)) (sqrt.f64 (cos.f64 y)) (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (sqrt.f64 (.f64 (.f64 z (cos.f64 y)) z)) (sqrt.f64 (cos.f64 y)) (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (sqrt.f64 (.f64 (neg.f64 z) (cos.f64 y))) (sqrt.f64 (.f64 (neg.f64 z) (cos.f64 y))) (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (sqrt.f64 (.f64 (neg.f64 z) (cos.f64 y))) (sqrt.f64 (.f64 (neg.f64 z) (cos.f64 y))) (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 z (cos.f64 y)))) (.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 z (cos.f64 y)))) (.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 z) (cos.f64 y))) (sqrt.f64 (.f64 (sqrt.f64 z) (.f64 z (cos.f64 y)))) (.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 z) (cos.f64 y))) (sqrt.f64 (.f64 (sqrt.f64 z) (.f64 z (cos.f64 y)))) (.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (pow.f64 (.f64 (.f64 z (cos.f64 y)) (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) #s(literal 1/2 binary64)) (.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (pow.f64 (.f64 (.f64 z (cos.f64 y)) (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) #s(literal 1/2 binary64)) (.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (pow.f64 (.f64 (.f64 z (cos.f64 y)) (.f64 (sqrt.f64 z) (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (pow.f64 (.f64 (.f64 z (cos.f64 y)) (.f64 (sqrt.f64 z) (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (pow.f64 (.f64 (.f64 z (cos.f64 y)) z) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 y)) (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (pow.f64 (.f64 (.f64 z (cos.f64 y)) z) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 y)) (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (pow.f64 (.f64 (neg.f64 z) (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 z) (cos.f64 y)) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (pow.f64 (.f64 (neg.f64 z) (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 z) (cos.f64 y)) #s(literal 1/2 binary64)) (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) (.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) (.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (pow.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 z) (.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) (.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (pow.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 z) (.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) (.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (.f64 z (.f64 z (cos.f64 y)))) (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (.f64 z (.f64 z (cos.f64 y)))) (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (.f64 z (.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (.f64 z (.f64 z (cos.f64 y))) #s(literal 1/2 binary64)) (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (.f64 (/.f64 (sin.f64 y) z) x) z (.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 z (.f64 (/.f64 (sin.f64 y) z) x) (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 z (cos.f64 y) (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 (cos.f64 y) z (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (cos.f64 y) z (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)))
(+.f64 (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(+.f64 (.f64 z (cos.f64 y)) (.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) (/.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))))))
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(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 y (PI.f64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) y)) y) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) y)) y) (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) y)) y) (.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) y)) y)))))
(/.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (neg.f64 (.f64 y y)) #s(literal 1/24 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (neg.f64 (.f64 y y)) #s(literal 1/24 binary64)) (.f64 (neg.f64 (.f64 y y)) #s(literal 1/24 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (*.f64 y y)) #s(literal 1/24 binary64))))))
(/.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 #s(literal -1/24 binary64) (.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 y y)) (.f64 #s(literal -1/24 binary64) (.f64 y y)) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/24 binary64) (*.f64 y y))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64))))) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64))))) (-.f64 (.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64)))))) (.f64 (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64)))) (.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64)))) #s(literal -1/8 binary64))) (.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64)))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal -1/48 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 y y) #s(literal -1/48 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 y y) #s(literal -1/48 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 y))) y #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/24 binary64) y)) y #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) (neg.f64 y)) (neg.f64 y) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 1/24 binary64) y)) #s(literal -1/2 binary64))
(fma.f64 y (*.f64 #s(literal 1/24 binary64) y) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))) (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 (*.f64 y y) #s(literal 1/24 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) y)) y))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (.f64 y y)) #s(literal 1/24 binary64)))
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/24 binary64) (.f64 y y)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 y y) #s(literal -1/48 binary64))))) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 y y) #s(literal -1/48 binary64))))))
(+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 y y) #s(literal -1/48 binary64))))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 y y) #s(literal -1/48 binary64))))))
(+.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64))))) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal -1/48 binary64))))))
(+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 y y) #s(literal -1/48 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/576 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 y y) #s(literal -1/48 binary64))))))
(+.f64 (.f64 (.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 y y) #s(literal 1/24 binary64)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))

eval125.0ms (1.7%)

Memory: 24.4MiB live, 215.1MiB allocated; 21ms collecting garbage
Compiler: Compiled 20 147 to 2 452 computations (87.8% saved)

prune103.0ms (1.4%)

Memory

-50.6MiB live, 202.3MiB allocated; 34ms collecting garbage

Pruning

37 alts after pruning (31 fresh and 6 done)

	Pruned	Kept	Total
New	537	16	553
Fresh	3	15	18
Picked	2	3	5
Done	0	3	3
Total	542	37	579

Accuracy

100.0%

Counts

579 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.2%	(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.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)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
	47.4%	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (sqrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	69.8%	(fma.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (sqrt.f64 #s(literal 2 binary64))) x (.f64 (cos.f64 y) z))
	66.6%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (/.f64 (neg.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))))
	50.8%	(fma.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
	47.4%	(fma.f64 (.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
	44.2%	(fma.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
▶	33.2%	(fma.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
	44.3%	(fma.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x))
	56.8%	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓	78.4%	(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	85.8%	#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
	43.8%	#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x))
	50.4%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
	50.0%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
	72.8%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))))
✓	92.3%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
	67.6%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 (fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (.f64 (/.f64 (sin.f64 y) z) x)) z))
▶	88.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
	45.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 x y) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z))
	45.0%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
	50.3%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
	36.4%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)) z))
▶	37.4%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
▶	28.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (-.f64 (.f64 x y) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (*.f64 x y) z))))
	23.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 x y) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (*.f64 x y) z))))
✓	51.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
✓	57.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
	35.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
	44.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
✓	17.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
	35.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (.f64 z (.f64 #s(literal 1/24 binary64) y)) y (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
	35.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) y z)))
▶	35.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
	34.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 (fabs.f64 (.f64 #s(literal 1/24 binary64) y)) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
	35.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 #s(approx (* z (+ (* 1/24 (* y y)) -1/2)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) z))) (.f64 y y) z)))

Compiler

Compiled 1 689 to 1 068 computations (36.8% saved)

simplify204.0ms (2.7%)

Memory

11.7MiB live, 240.8MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) x)
cost-diff	0	(sqrt.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) x))
cost-diff	0	(fma.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
cost-diff	1	(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (-.f64 (.f64 x y) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (*.f64 x y) z))))
cost-diff	7	(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (-.f64 (.f64 x y) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (*.f64 x y) z)))
cost-diff	0	(.f64 z (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 z (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)
cost-diff	0	#s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
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 (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))
cost-diff	0	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
cost-diff	2	(*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	351
0	89	348
1	164	338
2	411	336
3	1298	336
4	3897	334
5	7975	334
0	8156	322

Stop Event

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

Calls

Call 1

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

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

localize237.0ms (3.1%)

Memory

51.1MiB live, 327.5MiB allocated; 48ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(fma.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
accuracy	1.670750951774913	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) x)
accuracy	5.7693973829074485	(sqrt.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) x))
accuracy	7.191823943439437	(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64)))
accuracy	3.316126154672736	(/.f64 x (-.f64 (*.f64 x y) z))
accuracy	3.530995970435723	(.f64 (.f64 y y) x)
accuracy	9.42323220600401	(/.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 x y) z))
accuracy	14.570921024776196	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (-.f64 (.f64 x y) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (*.f64 x y) z))))
accuracy	0.17578125	(*.f64 #s(literal 1/24 binary64) y)
accuracy	2.137324752597862	(.f64 z (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)))
accuracy	13.618609216689379	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
accuracy	14.815104913606453	#s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z))
accuracy	0.0	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
accuracy	2.6682790736652304	(.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z)
accuracy	18.80917272417518	#s(approx (+ (* (/ (sin y) z) x) (cos y)) #s(literal 1 binary64))
accuracy	0.0	(cos.f64 y)
accuracy	0.0	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
accuracy	1.2171688309862347	(fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))
accuracy	2.6682790736652304	(*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)

Samples

73.0ms	134×	0	invalid
40.0ms	28×	2	valid
35.0ms	32×	1	valid
25.0ms	61×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 275 to 51 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 58.0ms (40% of total)

ival-cos: 19.0ms (13.1% of total)

adjust: 17.0ms (11.7% of total)

const: 14.0ms (9.7% of total)

ival-div: 13.0ms (9% of total)

ival-add: 10.0ms (6.9% of total)

ival-sin: 6.0ms (4.1% of total)

ival-sqrt: 4.0ms (2.8% of total)

ival-sub: 3.0ms (2.1% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series194.0ms (2.6%)

Memory

-38.1MiB live, 164.4MiB allocated; 49ms collecting garbage

Counts

23 → 128

Calls

Call 1

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

Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
z
(+ z (* x y))
(+ z (* x (+ y (* x (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z))))))
(* x (pow y 2))
(+ (* x (sqrt (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (cos y)))
(sqrt (* x (- 1/2 (* 1/2 (cos (* 2 y))))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(+ z (* x (+ y (/ (* x (pow y 2)) z))))
(+ z (* x (+ y (* x (+ (/ (* x (pow y 3)) (pow z 2)) (/ (pow y 2) z))))))
(* -1 (/ x z))
(* x (- (* -1 (/ (* x y) (pow z 2))) (/ 1 z)))
(* x (- (* x (- (* -1 (/ (* x (pow y 2)) (pow z 3))) (/ y (pow z 2)))) (/ 1 z)))
(* x (- (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (/ (pow y 2) (pow z 3)))) (/ y (pow z 2)))) (/ 1 z)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x y)
(* x (+ y (/ z x)))
(* x (sqrt (- 1/2 (* 1/2 (cos (* 2 y))))))
(* x (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (cos y)) x)))
(* -1 (/ (pow z 2) (* x y)))
(/ (+ (* -1 (/ (pow z 2) y)) (* -1 (/ (pow z 3) (* x (pow y 2))))) x)
(/ (+ (* -1 (/ (pow z 2) y)) (+ (* -1 (/ (pow z 3) (* x (pow y 2)))) (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))))) x)
(/ (+ (* -1 (/ (pow z 2) y)) (+ (* -1 (/ (pow z 3) (* x (pow y 2)))) (+ (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* -1 (/ (pow z 5) (* (pow x 3) (pow y 4))))))) x)
(/ 1 y)
(+ (/ 1 y) (/ z (* x (pow y 2))))
(- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* -1 (/ z (* x (pow y 2)))))
(- (+ (/ 1 y) (/ (pow z 3) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ z (* x (pow y 2)))) (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3))))))
(* -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 (pow (sqrt -1) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 y)))))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (pow (sqrt -1) 2) (sqrt (- 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* (sqrt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (/ (pow z 2) y) (/ (pow z 3) (* x (pow y 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 3) (pow y 2))) (* -1 (/ (pow z 4) (* x (pow y 3))))) x)) (/ (pow z 2) y)) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ (pow z 4) (pow y 3)) (/ (pow z 5) (* x (pow y 4)))) x)) (* -1 (/ (pow z 3) (pow y 2)))) x)) (/ (pow z 2) y)) x))
(+ (* -1 (/ (- (* -1 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (/ 1 y))
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow y 4))) (* -1 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (/ 1 y))
(+ 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
(* 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))))))
(* -1/2 z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(+ z (* y (+ x (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2)))))
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 2/45 x) (* 1/36 x)))))))))
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/315 x) (* -1/6 (- (* 2/45 x) (* 1/36 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 2/45 x) (* 1/36 x))))))))))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(+ 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)))
(* 1/24 y)
(+ z (* y (+ x (/ (* (pow x 2) y) z))))
(+ z (* y (+ x (* y (+ (/ (* (pow x 3) y) (pow z 2)) (/ (pow x 2) z))))))
(+ (* -1 (/ x z)) (* -1 (/ (* (pow x 2) y) (pow z 2))))
(+ (* -1 (/ x z)) (* y (- (* -1 (/ (* (pow x 3) y) (pow z 3))) (/ (pow x 2) (pow z 2)))))
(+ (* -1 (/ x z)) (* y (- (* y (- (* -1 (/ (* (pow x 4) y) (pow z 4))) (/ (pow x 3) (pow z 3)))) (/ (pow x 2) (pow z 2)))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(sin y)
(* 1/24 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(* 1/24 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* y (+ x (/ z y)))
(- 1/2 (* 1/2 (cos (* 2 y))))
(/ (+ (* -1 (/ (pow z 2) x)) (* -1 (/ (pow z 3) (* (pow x 2) y)))) y)
(/ (+ (* -1 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 3) (* (pow x 2) y))) (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2)))))) y)
(/ (+ (* -1 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 3) (* (pow x 2) y))) (+ (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* -1 (/ (pow z 5) (* (pow x 4) (pow y 3))))))) y)
(/ (+ 1 (/ z (* x y))) y)
(/ (- (+ 1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* -1 (/ z (* x y)))) y)
(/ (- (+ 1 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (+ (* -1 (/ z (* x y))) (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (/ (+ (/ (pow z 2) x) (/ (pow z 3) (* (pow x 2) y))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 3) (pow x 2))) (* -1 (/ (pow z 4) (* (pow x 3) y)))) y)) (/ (pow z 2) x)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ (pow z 4) (pow x 3)) (/ (pow z 5) (* (pow x 4) y))) y)) (* -1 (/ (pow z 3) (pow x 2)))) y)) (/ (pow z 2) x)) y))
(* -1 (/ (- (* -1 (/ z (* x y))) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 2) y)) (* -1 (/ z x))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* (pow x 3) y))) (/ (pow z 2) (pow x 2))) y)) (* -1 (/ z x))) y)) 1) y))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* (pow z 2) (- (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))
(* (pow z 2) (- (* z (- (* -1 (/ z (* (pow x 3) (pow y 3)))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
(* (pow z 2) (- (* z (- (* z (- (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
(+ (* z (+ (/ 1 (* x (pow y 2))) (/ z (* (pow x 2) (pow y 3))))) (/ 1 y))
(+ (* z (+ (* z (+ (/ 1 (* (pow x 2) (pow y 3))) (/ z (* (pow x 3) (pow y 4))))) (/ 1 (* x (pow y 2))))) (/ 1 y))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(* z (+ (cos y) (* (/ x z) (sqrt (- 1/2 (* 1/2 (cos (* 2 y))))))))
(* z (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))))
(* z (- (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(/ (+ (* -1 x) (* -1 (/ (* (pow x 2) y) z))) z)
(/ (- (+ (* -1 x) (* -1 (/ (* (pow x 3) (pow y 2)) (pow z 2)))) (/ (* (pow x 2) y) z)) z)
(/ (- (+ (* -1 x) (* -1 (/ (* (pow x 4) (pow y 3)) (pow z 3)))) (+ (/ (* (pow x 2) y) z) (/ (* (pow x 3) (pow y 2)) (pow z 2)))) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) z)) (* x y)) z)) 1)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (* (/ x z) (sqrt (- 1/2 (* 1/2 (cos (* 2 y))))))))))
(* -1 (* z (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) z) (* -1 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow y 3)) z)) (* (pow x 2) (pow y 2))) z)) (* -1 (* x y))) z)) 1)))
(* -1 (/ (+ x (/ (* (pow x 2) y) z)) z))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow y 2)) z)) (* (pow x 2) y)) z))) z))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow y 3)) z) (* -1 (* (pow x 3) (pow y 2)))) z)) (* (pow x 2) y)) z))) z))

Calls

9 calls:

Time	Variable		Point	Expression
81.0ms	x	@	0	((* (+ (* (sin y) (/ x z)) (cos y)) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (sin y) (/ x z)) (cos y)) (sin y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* (* 1/24 y) y) -1/2)) (* y y)) z) (* z (+ (* (* 1/24 y) y) -1/2)) (+ (* (* (* y y) x) (/ x (- (* x y) z))) (/ (* (neg z) z) (- (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (* (* y y) x) (* y y) (- 1/2 (* (cos (* 2 y)) 1/2)) (+ (* (sqrt (* (- 1/2 (* (cos (* 2 y)) 1/2)) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (- 1/2 (* (cos (* 2 y)) 1/2)) x)) (* (- 1/2 (* (cos (* 2 y)) 1/2)) x) (cos y) (* 1/24 y) (/ (* (neg z) z) (- (* x y) z)) (/ x (- (* x y) z)))
39.0ms	y	@	-inf	((* (+ (* (sin y) (/ x z)) (cos y)) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (sin y) (/ x z)) (cos y)) (sin y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* (* 1/24 y) y) -1/2)) (* y y)) z) (* z (+ (* (* 1/24 y) y) -1/2)) (+ (* (* (* y y) x) (/ x (- (* x y) z))) (/ (* (neg z) z) (- (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (* (* y y) x) (* y y) (- 1/2 (* (cos (* 2 y)) 1/2)) (+ (* (sqrt (* (- 1/2 (* (cos (* 2 y)) 1/2)) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (- 1/2 (* (cos (* 2 y)) 1/2)) x)) (* (- 1/2 (* (cos (* 2 y)) 1/2)) x) (cos y) (* 1/24 y) (/ (* (neg z) z) (- (* x y) z)) (/ x (- (* x y) z)))
38.0ms	x	@	-inf	((* (+ (* (sin y) (/ x z)) (cos y)) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (sin y) (/ x z)) (cos y)) (sin y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* (* 1/24 y) y) -1/2)) (* y y)) z) (* z (+ (* (* 1/24 y) y) -1/2)) (+ (* (* (* y y) x) (/ x (- (* x y) z))) (/ (* (neg z) z) (- (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (* (* y y) x) (* y y) (- 1/2 (* (cos (* 2 y)) 1/2)) (+ (* (sqrt (* (- 1/2 (* (cos (* 2 y)) 1/2)) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (- 1/2 (* (cos (* 2 y)) 1/2)) x)) (* (- 1/2 (* (cos (* 2 y)) 1/2)) x) (cos y) (* 1/24 y) (/ (* (neg z) z) (- (* x y) z)) (/ x (- (* x y) z)))
8.0ms	z	@	-inf	((* (+ (* (sin y) (/ x z)) (cos y)) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (sin y) (/ x z)) (cos y)) (sin y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* (* 1/24 y) y) -1/2)) (* y y)) z) (* z (+ (* (* 1/24 y) y) -1/2)) (+ (* (* (* y y) x) (/ x (- (* x y) z))) (/ (* (neg z) z) (- (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (* (* y y) x) (* y y) (- 1/2 (* (cos (* 2 y)) 1/2)) (+ (* (sqrt (* (- 1/2 (* (cos (* 2 y)) 1/2)) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (- 1/2 (* (cos (* 2 y)) 1/2)) x)) (* (- 1/2 (* (cos (* 2 y)) 1/2)) x) (cos y) (* 1/24 y) (/ (* (neg z) z) (- (* x y) z)) (/ x (- (* x y) z)))
6.0ms	y	@	inf	((* (+ (* (sin y) (/ x z)) (cos y)) z) (+ (* (sin y) x) (* (cos y) z)) (+ (* (sin y) (/ x z)) (cos y)) (sin y) (+ (* (sin y) x) (* (cos y) z)) (* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (/ (sin y) z) x) (cos y)) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* (* 1/24 y) y) -1/2)) (* y y)) z) (* z (+ (* (* 1/24 y) y) -1/2)) (+ (* (* (* y y) x) (/ x (- (* x y) z))) (/ (* (neg z) z) (- (* x y) z))) (+ (* x (sin y)) (* z (cos y))) (* (* y y) x) (* y y) (- 1/2 (* (cos (* 2 y)) 1/2)) (+ (* (sqrt (* (- 1/2 (* (cos (* 2 y)) 1/2)) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (- 1/2 (* (cos (* 2 y)) 1/2)) x)) (* (- 1/2 (* (cos (* 2 y)) 1/2)) x) (cos y) (* 1/24 y) (/ (* (neg z) z) (- (* x y) z)) (/ x (- (* x y) z)))

simplify196.0ms (2.6%)

Memory

8.7MiB live, 253.6MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	608	2261
1	2090	2104
2	7561	2064
0	8122	1946

Stop Event

1×	iter limit
1×	node limit

Counts

128 → 126

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))
(+ z (* x (+ y (* x (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z))))))
(* x (pow y 2))
(+ (* x (sqrt (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (cos y)))
(sqrt (* x (- 1/2 (* 1/2 (cos (* 2 y))))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(+ z (* x (+ y (/ (* x (pow y 2)) z))))
(+ z (* x (+ y (* x (+ (/ (* x (pow y 3)) (pow z 2)) (/ (pow y 2) z))))))
(* -1 (/ x z))
(* x (- (* -1 (/ (* x y) (pow z 2))) (/ 1 z)))
(* x (- (* x (- (* -1 (/ (* x (pow y 2)) (pow z 3))) (/ y (pow z 2)))) (/ 1 z)))
(* x (- (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (/ (pow y 2) (pow z 3)))) (/ y (pow z 2)))) (/ 1 z)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* x y)
(* x (+ y (/ z x)))
(* x (sqrt (- 1/2 (* 1/2 (cos (* 2 y))))))
(* x (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (cos y)) x)))
(* -1 (/ (pow z 2) (* x y)))
(/ (+ (* -1 (/ (pow z 2) y)) (* -1 (/ (pow z 3) (* x (pow y 2))))) x)
(/ (+ (* -1 (/ (pow z 2) y)) (+ (* -1 (/ (pow z 3) (* x (pow y 2)))) (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))))) x)
(/ (+ (* -1 (/ (pow z 2) y)) (+ (* -1 (/ (pow z 3) (* x (pow y 2)))) (+ (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* -1 (/ (pow z 5) (* (pow x 3) (pow y 4))))))) x)
(/ 1 y)
(+ (/ 1 y) (/ z (* x (pow y 2))))
(- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* -1 (/ z (* x (pow y 2)))))
(- (+ (/ 1 y) (/ (pow z 3) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ z (* x (pow y 2)))) (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3))))))
(* -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 (pow (sqrt -1) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 y)))))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (pow (sqrt -1) 2) (sqrt (- 1/2 (* 1/2 (cos (* 2 y)))))))))
(* -1 (* (sqrt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (/ (pow z 2) y) (/ (pow z 3) (* x (pow y 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 3) (pow y 2))) (* -1 (/ (pow z 4) (* x (pow y 3))))) x)) (/ (pow z 2) y)) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ (pow z 4) (pow y 3)) (/ (pow z 5) (* x (pow y 4)))) x)) (* -1 (/ (pow z 3) (pow y 2)))) x)) (/ (pow z 2) y)) x))
(+ (* -1 (/ (- (* -1 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (/ 1 y))
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow y 4))) (* -1 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (/ 1 y))
(+ 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
(* 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))))))
(* -1/2 z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(+ z (* y (+ x (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2)))))
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 2/45 x) (* 1/36 x)))))))))
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/315 x) (* -1/6 (- (* 2/45 x) (* 1/36 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 2/45 x) (* 1/36 x))))))))))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(+ 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)))
(* 1/24 y)
(+ z (* y (+ x (/ (* (pow x 2) y) z))))
(+ z (* y (+ x (* y (+ (/ (* (pow x 3) y) (pow z 2)) (/ (pow x 2) z))))))
(+ (* -1 (/ x z)) (* -1 (/ (* (pow x 2) y) (pow z 2))))
(+ (* -1 (/ x z)) (* y (- (* -1 (/ (* (pow x 3) y) (pow z 3))) (/ (pow x 2) (pow z 2)))))
(+ (* -1 (/ x z)) (* y (- (* y (- (* -1 (/ (* (pow x 4) y) (pow z 4))) (/ (pow x 3) (pow z 3)))) (/ (pow x 2) (pow z 2)))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(sin y)
(* 1/24 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(* 1/24 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(* y (+ x (/ z y)))
(- 1/2 (* 1/2 (cos (* 2 y))))
(/ (+ (* -1 (/ (pow z 2) x)) (* -1 (/ (pow z 3) (* (pow x 2) y)))) y)
(/ (+ (* -1 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 3) (* (pow x 2) y))) (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2)))))) y)
(/ (+ (* -1 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 3) (* (pow x 2) y))) (+ (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* -1 (/ (pow z 5) (* (pow x 4) (pow y 3))))))) y)
(/ (+ 1 (/ z (* x y))) y)
(/ (- (+ 1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* -1 (/ z (* x y)))) y)
(/ (- (+ 1 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (+ (* -1 (/ z (* x y))) (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (/ (+ (/ (pow z 2) x) (/ (pow z 3) (* (pow x 2) y))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 3) (pow x 2))) (* -1 (/ (pow z 4) (* (pow x 3) y)))) y)) (/ (pow z 2) x)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ (pow z 4) (pow x 3)) (/ (pow z 5) (* (pow x 4) y))) y)) (* -1 (/ (pow z 3) (pow x 2)))) y)) (/ (pow z 2) x)) y))
(* -1 (/ (- (* -1 (/ z (* x y))) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 2) y)) (* -1 (/ z x))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* (pow x 3) y))) (/ (pow z 2) (pow x 2))) y)) (* -1 (/ z x))) y)) 1) y))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(* z (- (* 1/24 (pow y 2)) 1/2))
(* (pow z 2) (- (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))
(* (pow z 2) (- (* z (- (* -1 (/ z (* (pow x 3) (pow y 3)))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
(* (pow z 2) (- (* z (- (* z (- (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
(+ (* z (+ (/ 1 (* x (pow y 2))) (/ z (* (pow x 2) (pow y 3))))) (/ 1 y))
(+ (* z (+ (* z (+ (/ 1 (* (pow x 2) (pow y 3))) (/ z (* (pow x 3) (pow y 4))))) (/ 1 (* x (pow y 2))))) (/ 1 y))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(* z (+ (cos y) (* (/ x z) (sqrt (- 1/2 (* 1/2 (cos (* 2 y))))))))
(* z (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))))
(* z (- (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(/ (+ (* -1 x) (* -1 (/ (* (pow x 2) y) z))) z)
(/ (- (+ (* -1 x) (* -1 (/ (* (pow x 3) (pow y 2)) (pow z 2)))) (/ (* (pow x 2) y) z)) z)
(/ (- (+ (* -1 x) (* -1 (/ (* (pow x 4) (pow y 3)) (pow z 3)))) (+ (/ (* (pow x 2) y) z) (/ (* (pow x 3) (pow y 2)) (pow z 2)))) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) z)) (* x y)) z)) 1)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (* (/ x z) (sqrt (- 1/2 (* 1/2 (cos (* 2 y))))))))))
(* -1 (* z (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) z) (* -1 (* x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow y 3)) z)) (* (pow x 2) (pow y 2))) z)) (* -1 (* x y))) z)) 1)))
(* -1 (/ (+ x (/ (* (pow x 2) y) z)) z))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow y 2)) z)) (* (pow x 2) y)) z))) z))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow y 3)) z) (* -1 (* (pow x 3) (pow y 2)))) z)) (* (pow x 2) y)) z))) 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))
(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)
(+ z (* x (+ y (* x (+ (* -1 (/ (pow y 2) z)) (/ (pow y 2) z))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) x y) x z)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(+ (* x (sqrt (- 1/2 (* 1/2 (cos (* 2 y)))))) (* z (cos y)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) x (.f64 (cos.f64 y) z))
(sqrt (* x (- 1/2 (* 1/2 (cos (* 2 y))))))
(sqrt.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) x))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) x)
(+ z (* x (+ y (/ (* x (pow y 2)) z))))
(fma.f64 (fma.f64 (*.f64 x (/.f64 x z)) y x) y z)
(+ z (* x (+ y (* x (+ (/ (* x (pow y 3)) (pow z 2)) (/ (pow y 2) z))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 y y (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) z)) z) x y) x z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* x (- (* -1 (/ (* x y) (pow z 2))) (/ 1 z)))
(.f64 (-.f64 (.f64 (neg.f64 x) (/.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) z)) x)
(* x (- (* x (- (* -1 (/ (* x (pow y 2)) (pow z 3))) (/ y (pow z 2)))) (/ 1 z)))
(.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (neg.f64 y) y) x) (pow.f64 z #s(literal 3 binary64))) (/.f64 y (*.f64 z z))) x) (/.f64 #s(literal 1 binary64) z)) x)
(* x (- (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (pow z 4))) (/ (pow y 2) (pow z 3)))) (/ y (pow z 2)))) (/ 1 z)))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 x) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64))))) x) (/.f64 y (.f64 z z))) x) (/.f64 #s(literal 1 binary64) z)) x)
(* 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)
(*.f64 x y)
(* x (+ y (/ z x)))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* x (sqrt (- 1/2 (* 1/2 (cos (* 2 y))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) x)
(* x (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 y))))) (/ (* z (cos y)) x)))
(.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)))) x)
(* -1 (/ (pow z 2) (* x y)))
(/.f64 (.f64 (neg.f64 z) z) (.f64 x y))
(/ (+ (* -1 (/ (pow z 2) y)) (* -1 (/ (pow z 3) (* x (pow y 2))))) x)
(/.f64 (/.f64 (fma.f64 z z (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) y)) y) (neg.f64 x))
(/ (+ (* -1 (/ (pow z 2) y)) (+ (* -1 (/ (pow z 3) (* x (pow y 2)))) (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))))) x)
(/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 z z (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) y)) y)) (/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) x) (pow.f64 y #s(literal 3 binary64)))) x)
(/ (+ (* -1 (/ (pow z 2) y)) (+ (* -1 (/ (pow z 3) (* x (pow y 2)))) (+ (* -1 (/ (pow z 4) (* (pow x 2) (pow y 3)))) (* -1 (/ (pow z 5) (* (pow x 3) (pow y 4))))))) x)
(/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 z z (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) y)) y)) (/.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) x) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (/ 1 y) (/ z (* x (pow y 2))))
(/.f64 (+.f64 (/.f64 (/.f64 z y) x) #s(literal 1 binary64)) y)
(- (+ (/ 1 y) (/ (pow z 2) (* (pow x 2) (pow y 3)))) (* -1 (/ z (* x (pow y 2)))))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 z x) x) (/.f64 z y) (/.f64 z x)) y) #s(literal 1 binary64)) y)
(- (+ (/ 1 y) (/ (pow z 3) (* (pow x 3) (pow y 4)))) (+ (* -1 (/ z (* x (pow y 2)))) (* -1 (/ (pow z 2) (* (pow x 2) (pow y 3))))))
(-.f64 (+.f64 (/.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 (fma.f64 (/.f64 (/.f64 z x) x) (/.f64 z y) (/.f64 z x)) (*.f64 y y))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(.f64 (.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(.f64 (.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) z)))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(.f64 (.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 z x) y))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (- 1/2 (* 1/2 (cos (* 2 y)))))))
(.f64 (.f64 #s(literal 1 binary64) x) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (pow (sqrt -1) 2) (sqrt (- 1/2 (* 1/2 (cos (* 2 y)))))))))
(.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 (cos.f64 y) x))))
(* -1 (* (sqrt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sqrt -1) 2)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) x)))
(* -1 (/ (+ (/ (pow z 2) y) (/ (pow z 3) (* x (pow y 2)))) x))
(/.f64 (/.f64 (fma.f64 z z (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) y)) y) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 3) (pow y 2))) (* -1 (/ (pow z 4) (* x (pow y 3))))) x)) (/ (pow z 2) y)) x))
(/.f64 (fma.f64 z (/.f64 z y) (/.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) y) (pow.f64 z #s(literal 3 binary64))) (.f64 y y))) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ (pow z 4) (pow y 3)) (/ (pow z 5) (* x (pow y 4)))) x)) (* -1 (/ (pow z 3) (pow y 2)))) x)) (/ (pow z 2) y)) x))
(/.f64 (fma.f64 z (/.f64 z y) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) x) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y))) x)) (neg.f64 x))
(+ (* -1 (/ (- (* -1 (/ (pow z 2) (* x (pow y 3)))) (/ z (pow y 2))) x)) (/ 1 y))
(fma.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (/.f64 z x) x) (/.f64 z y) (/.f64 z x)) (*.f64 y y))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow y 4))) (* -1 (/ (pow z 2) (pow y 3)))) x)) (/ z (pow y 2))) x)) (/ 1 y))
(+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 x)) (/.f64 z (*.f64 y y))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) 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 x y) (.f64 #s(literal -1/2 binary64) z)) y x) y z)
1
#s(literal 1 binary64)
(+ 1 (/ (* x y) z))
(fma.f64 (/.f64 x z) y #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 (-.f64 (.f64 (.f64 (/.f64 x z) y) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) (pow.f64 y #s(literal 3 binary64)) 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 (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(fma.f64 (.f64 z (fma.f64 (.f64 #s(literal 1/24 binary64) 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 (fma.f64 (.f64 z (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64))) (.f64 y y) (.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(.f64 z (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64)))
(+ z (* y (+ x (* y (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) y x) y z)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y y) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 y y)) #s(literal 1/3 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 y y) #s(literal 2/45 binary64)) y) y) #s(literal 1/3 binary64)) (.f64 y y) #s(literal 1 binary64)) (.f64 y y))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (+ (sqrt x) (* -1/6 (* (sqrt x) (pow y 2)))))
(.f64 (fma.f64 (.f64 (*.f64 (sqrt.f64 x) y) y) #s(literal -1/6 binary64) (sqrt.f64 x)) y)
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* 2/45 x) (* 1/36 x)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 y y) x) #s(literal 1/60 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal -1/6 binary64))) (pow.f64 y #s(literal 3 binary64)) (.f64 (sqrt.f64 x) y))
(* y (+ (sqrt x) (* (pow y 2) (+ (* -1/6 (sqrt x)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (* (pow y 2) (- (* -1/315 x) (* -1/6 (- (* 2/45 x) (* 1/36 x))))))) (* 1/2 (* (sqrt (/ 1 x)) (- (* 2/45 x) (* 1/36 x))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 (.f64 #s(literal -1/315 binary64) x) (.f64 x #s(literal -1/360 binary64))) (.f64 y y) (.f64 #s(literal 1/60 binary64) x))) (.f64 (sqrt.f64 x) #s(literal -1/6 binary64))) (pow.f64 y #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) y))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (.f64 y y)) x x) y) y)
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2/45 binary64) (.f64 y y)) x (.f64 #s(literal -1/3 binary64) x)) (.f64 y y) x) y) y)
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -1/315 binary64) (.f64 y y)) x (.f64 #s(literal 2/45 binary64) x)) y) y (.f64 #s(literal -1/3 binary64) x)) (.f64 y y) x) (.f64 y y))
(+ 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 (-.f64 (.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 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
(* 1/24 y)
(*.f64 #s(literal 1/24 binary64) y)
(+ z (* y (+ x (/ (* (pow x 2) y) z))))
(fma.f64 (fma.f64 (*.f64 x (/.f64 x z)) y x) y z)
(+ z (* y (+ x (* y (+ (/ (* (pow x 3) y) (pow z 2)) (/ (pow x 2) z))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 x x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) z)) z) y x) y z)
(+ (* -1 (/ x z)) (* -1 (/ (* (pow x 2) y) (pow z 2))))
(/.f64 (fma.f64 (*.f64 x (/.f64 x z)) y x) (neg.f64 z))
(+ (* -1 (/ x z)) (* y (- (* -1 (/ (* (pow x 3) y) (pow z 3))) (/ (pow x 2) (pow z 2)))))
(fma.f64 (-.f64 (neg.f64 (.f64 y (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (/.f64 (.f64 x (/.f64 x z)) z)) y (/.f64 (neg.f64 x) z))
(+ (* -1 (/ x z)) (* y (- (* y (- (* -1 (/ (* (pow x 4) y) (pow z 4))) (/ (pow x 3) (pow z 3)))) (/ (pow x 2) (pow z 2)))))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) y) (/.f64 (*.f64 x (/.f64 x z)) z)) y (/.f64 (neg.f64 x) z))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(sin y)
(sin.f64 y)
(* 1/24 (* (pow y 4) z))
(.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal 1/24 binary64))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(.f64 (fma.f64 #s(literal 1/24 binary64) z (.f64 #s(literal -1/2 binary64) (/.f64 z (*.f64 y y)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (.f64 y y)) (fma.f64 #s(literal 1/24 binary64) z (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (pow.f64 y #s(literal 4 binary64)))
(* 1/24 (* (pow y 2) z))
(.f64 #s(literal 1/24 binary64) (.f64 (*.f64 z y) y))
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z)))
(.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) z (.f64 #s(literal -1/2 binary64) (/.f64 z (.f64 y y)))) y) y)
(* y (+ x (/ z y)))
(*.f64 (+.f64 (/.f64 z y) x) y)
(- 1/2 (* 1/2 (cos (* 2 y))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))
(/ (+ (* -1 (/ (pow z 2) x)) (* -1 (/ (pow z 3) (* (pow x 2) y)))) y)
(/.f64 (/.f64 (fma.f64 z z (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) y)) y) (neg.f64 x))
(/ (+ (* -1 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 3) (* (pow x 2) y))) (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2)))))) y)
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 z (/.f64 z x) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) x)) y))) y)
(/ (+ (* -1 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 3) (* (pow x 2) y))) (+ (* -1 (/ (pow z 4) (* (pow x 3) (pow y 2)))) (* -1 (/ (pow z 5) (* (pow x 4) (pow y 3))))))) y)
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) x)) y) (/.f64 (*.f64 (neg.f64 z) z) x)) y)
(/ (+ 1 (/ z (* x y))) y)
(/.f64 (+.f64 (/.f64 (/.f64 z y) x) #s(literal 1 binary64)) y)
(/ (- (+ 1 (/ (pow z 2) (* (pow x 2) (pow y 2)))) (* -1 (/ z (* x y)))) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 z x) x) (/.f64 z y) (/.f64 z x)) y) #s(literal 1 binary64)) y)
(/ (- (+ 1 (/ (pow z 3) (* (pow x 3) (pow y 3)))) (+ (* -1 (/ z (* x y))) (* -1 (/ (pow z 2) (* (pow x 2) (pow y 2)))))) y)
(/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (/.f64 z y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (/.f64 z x) x) (/.f64 z y) (/.f64 z x)) (neg.f64 y))) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(*.f64 (neg.f64 y) (neg.f64 (+.f64 (/.f64 z y) x)))
(* -1 (/ (+ (/ (pow z 2) x) (/ (pow z 3) (* (pow x 2) y))) y))
(/.f64 (/.f64 (fma.f64 z z (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) y)) y) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 3) (pow x 2))) (* -1 (/ (pow z 4) (* (pow x 3) y)))) y)) (/ (pow z 2) x)) y))
(/.f64 (fma.f64 z (/.f64 z x) (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) x)) (neg.f64 y))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ (pow z 4) (pow x 3)) (/ (pow z 5) (* (pow x 4) y))) y)) (* -1 (/ (pow z 3) (pow x 2)))) y)) (/ (pow z 2) x)) y))
(/.f64 (fma.f64 z (/.f64 z x) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) x))) y)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ z (* x y))) 1) y))
(/.f64 (-.f64 (/.f64 (neg.f64 z) (*.f64 x y)) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* (pow x 2) y)) (* -1 (/ z x))) y)) 1) y))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (/.f64 z x) x) (/.f64 z y) (/.f64 z x)) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* (pow x 3) y))) (/ (pow z 2) (pow x 2))) y)) (* -1 (/ z x))) y)) 1) y))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (neg.f64 y)) (/.f64 (*.f64 z (/.f64 z x)) x)) (neg.f64 y)) (/.f64 z x)) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) z)
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 y y)) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) z)
(* z (- (* 1/24 (pow y 2)) 1/2))
(.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) z)
(* (pow z 2) (- (* -1 (/ z (* (pow x 2) (pow y 2)))) (/ 1 (* x y))))
(.f64 (-.f64 (/.f64 (/.f64 (/.f64 z x) x) (.f64 (neg.f64 y) y)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z z))
(* (pow z 2) (- (* z (- (* -1 (/ z (* (pow x 3) (pow y 3)))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
(.f64 (-.f64 (.f64 (-.f64 (/.f64 (neg.f64 z) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) y) y))) z) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z z))
(* (pow z 2) (- (* z (- (* z (- (* -1 (/ z (* (pow x 4) (pow y 4)))) (/ 1 (* (pow x 3) (pow y 3))))) (/ 1 (* (pow x 2) (pow y 2))))) (/ 1 (* x y))))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 (neg.f64 z) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) z) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) y) y))) z) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z z))
(+ (* z (+ (/ 1 (* x (pow y 2))) (/ z (* (pow x 2) (pow y 3))))) (/ 1 y))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 z x) x) (/.f64 z y) (/.f64 z x)) y) #s(literal 1 binary64)) y)
(+ (* z (+ (* z (+ (/ 1 (* (pow x 2) (pow y 3))) (/ z (* (pow x 3) (pow y 4))))) (/ 1 (* x (pow y 2))))) (/ 1 y))
(+.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 z x) x) (/.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 z y) x) #s(literal 1 binary64)) y))
(* z (+ 1 (/ (* x y) z)))
(*.f64 (fma.f64 (/.f64 x z) y #s(literal 1 binary64)) z)
(* z (+ 1 (+ (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (+ (/ (* x y) z) (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(fma.f64 (/.f64 (fma.f64 x y (/.f64 #s(literal 0 binary64) z)) z) z z)
(* z (+ (cos y) (* (/ x z) (sqrt (- 1/2 (* 1/2 (cos (* 2 y))))))))
(.f64 (fma.f64 (/.f64 x z) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y)) z)
(* z (- (+ 1 (/ (* (pow x 2) (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))))
(.f64 (+.f64 (/.f64 (.f64 (fma.f64 (*.f64 x (/.f64 x z)) y x) y) z) #s(literal 1 binary64)) z)
(* z (- (+ 1 (/ (* (pow x 3) (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 2))))))
(.f64 (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 (.f64 x (/.f64 x z)) y x) y) (neg.f64 z))) z)
(/ (+ (* -1 x) (* -1 (/ (* (pow x 2) y) z))) z)
(/.f64 (fma.f64 (*.f64 x (/.f64 x z)) y x) (neg.f64 z))
(/ (- (+ (* -1 x) (* -1 (/ (* (pow x 3) (pow y 2)) (pow z 2)))) (/ (* (pow x 2) y) z)) z)
(/.f64 (-.f64 (neg.f64 x) (.f64 (/.f64 (fma.f64 x x (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) z)) z) y)) z)
(/ (- (+ (* -1 x) (* -1 (/ (* (pow x 4) (pow y 3)) (pow z 3)))) (+ (/ (* (pow x 2) y) z) (/ (* (pow x 3) (pow y 2)) (pow z 2)))) z)
(/.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)) x)) (.f64 (/.f64 (fma.f64 x x (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) z)) z) y)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (neg.f64 z) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))
(.f64 (neg.f64 z) (-.f64 (.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(.f64 (neg.f64 z) (-.f64 (.f64 (neg.f64 x) (/.f64 y z)) #s(literal 1 binary64)))
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) (pow y 2))) (* (pow x 2) (pow y 2))) z)) (* x y)) z)) 1)))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (fma.f64 (neg.f64 y) x (/.f64 #s(literal 0 binary64) z)) z) #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (* (/ x z) (sqrt (- 1/2 (* 1/2 (cos (* 2 y))))))))))
(.f64 (neg.f64 z) (neg.f64 (fma.f64 (/.f64 x z) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) (cos.f64 y))))
(* -1 (* z (- (* -1 (/ (- (/ (* (pow x 2) (pow y 2)) z) (* -1 (* x y))) z)) 1)))
(.f64 (neg.f64 z) (-.f64 (/.f64 (.f64 (fma.f64 (*.f64 x (/.f64 x z)) y x) y) (neg.f64 z)) #s(literal 1 binary64)))
(* -1 (* z (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow y 3)) z)) (* (pow x 2) (pow y 2))) z)) (* -1 (* x y))) z)) 1)))
(.f64 (neg.f64 z) (-.f64 (/.f64 (fma.f64 x y (/.f64 (fma.f64 (.f64 (.f64 (neg.f64 x) x) y) y (/.f64 (pow.f64 (.f64 (neg.f64 x) y) #s(literal 3 binary64)) z)) (neg.f64 z))) (neg.f64 z)) #s(literal 1 binary64)))
(* -1 (/ (+ x (/ (* (pow x 2) y) z)) z))
(/.f64 (fma.f64 (*.f64 x (/.f64 x z)) y x) (neg.f64 z))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow y 2)) z)) (* (pow x 2) y)) z))) z))
(/.f64 (-.f64 x (/.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (.f64 y y) z) (.f64 (*.f64 (neg.f64 x) x) y)) z)) (neg.f64 z))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow y 3)) z) (* -1 (* (pow x 3) (pow y 2)))) z)) (* (pow x 2) y)) z))) z))
(/.f64 (-.f64 x (/.f64 (fma.f64 (.f64 (neg.f64 x) x) y (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) (neg.f64 z))) z)) (neg.f64 z))

rewrite182.0ms (2.4%)

Memory

20.0MiB live, 252.2MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	287
0	89	284
1	308	230
2	1982	227
0	8317	220

Stop Event

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

Counts

23 → 435

Calls

Call 1

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

Outputs
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(*.f64 z (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 z (-.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))))
(/.f64 (neg.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))
(/.f64 (.f64 z (-.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))
(/.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))
(fma.f64 (.f64 (/.f64 (sin.f64 y) z) x) z (.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 (cos.f64 y) z (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)))
(fma.f64 z (.f64 (/.f64 (sin.f64 y) z) x) (.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z))
(fma.f64 z (cos.f64 y) (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)))
(+.f64 (.f64 (.f64 (/.f64 (sin.f64 y) z) x) z) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 z (.f64 (/.f64 (sin.f64 y) z) x)) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (*.f64 (/.f64 (sin.f64 y) z) x) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 z (*.f64 (/.f64 (sin.f64 y) z) x)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))) (.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y)) (-.f64 (.f64 (/.f64 (sin.f64 y) z) x) (cos.f64 y))))
(/.f64 (fma.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))) (.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (.f64 (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))))
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(.f64 (fabs.f64 (.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 x))) (fabs.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 x))))
(.f64 (neg.f64 (.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 x))) (neg.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 x))))
(.f64 (.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 x)) (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 x)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
(*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) x)) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) x)) (neg.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))) (neg.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) x) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) x) (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) y (PI.f64))) #s(literal 1/2 binary64)) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) y (PI.f64))) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)))
(exp.f64 (fma.f64 (log.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64) (.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) y (PI.f64))) #s(literal 1/2 binary64)) x))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x (*.f64 (cos.f64 (fma.f64 #s(literal -2 binary64) y (PI.f64))) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
(fma.f64 (sin.f64 y) #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 y))))
(cos.f64 (neg.f64 (neg.f64 y)))
(cos.f64 (neg.f64 y))
(cos.f64 y)
(+.f64 (.f64 (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) (.f64 (cos.f64 y) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 y)) (.f64 #s(literal 0 binary64) (sin.f64 y)))
(+.f64 (.f64 (sin.f64 y) #s(literal 0 binary64)) (.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) y)
(*.f64 y #s(literal 1/24 binary64))
(.f64 (/.f64 (.f64 z z) (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 z z)))) (fma.f64 x y z))
(.f64 (/.f64 (.f64 (neg.f64 z) z) (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (fma.f64 x y z) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(.f64 (/.f64 z (-.f64 (.f64 x y) z)) (neg.f64 z))
(.f64 (neg.f64 z) (/.f64 z (-.f64 (.f64 x y) z)))
(.f64 z (/.f64 (neg.f64 z) (-.f64 (.f64 x y) z)))
(/.f64 (.f64 z z) (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x y) z)))))
(/.f64 (.f64 z z) (neg.f64 (-.f64 (.f64 x y) z)))
(/.f64 (.f64 (neg.f64 z) z) (neg.f64 (neg.f64 (-.f64 (.f64 x y) z))))
(/.f64 (.f64 (neg.f64 z) z) (-.f64 (.f64 x y) z))
(neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x y) z)))
(neg.f64 (.f64 z (/.f64 z (-.f64 (.f64 x y) z))))
(.f64 (/.f64 x (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 z z))) (fma.f64 x y z))
(.f64 (/.f64 x (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (fma.f64 x y z) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x y) z)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 (*.f64 x y) z))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 (*.f64 x y) z)))
(/.f64 x (-.f64 (*.f64 x y) z))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 (*.f64 x y) z)))
(neg.f64 (/.f64 x (neg.f64 (-.f64 (*.f64 x y) z))))

eval146.0ms (1.9%)

Memory: -19.8MiB live, 176.0MiB allocated; 40ms collecting garbage
Compiler: Compiled 20 201 to 2 518 computations (87.5% saved)

prune45.0ms (0.6%)

Memory

23.8MiB live, 114.9MiB allocated; 9ms collecting garbage

Pruning

40 alts after pruning (32 fresh and 8 done)

	Pruned	Kept	Total
New	580	9	589
Fresh	3	23	26
Picked	2	3	5
Done	1	5	6
Total	586	40	626

Accuracy

100.0%

Counts

626 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.2%	(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.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)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
	47.4%	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (sqrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	66.6%	(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (/.f64 (neg.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))))
	50.8%	(fma.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
	47.4%	(fma.f64 (.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
	44.2%	(fma.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
	19.0%	(fma.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) x)) (sqrt.f64 x) (.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) z))
	44.3%	(fma.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x))
	56.8%	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓	78.4%	(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	85.8%	#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
	43.8%	#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x))
	14.7%	#s(approx (+ (* (sqrt (* (- 1/2 (* (cos (* 2 y)) 1/2)) x)) (sqrt x)) (* (cos y) z)) (.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) x))
	50.4%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
	50.0%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
	72.8%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))))
	67.6%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 (fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (.f64 (/.f64 (sin.f64 y) z) x)) z))
✓	88.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
	45.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 x y) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z))
	45.0%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
	50.3%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (fma.f64 (/.f64 y z) x #s(literal 1 binary64))) z))
✓	37.4%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
	46.3%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (sin y) (/ x z)) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z))
	36.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (sin y) (/ x z)) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z))
	50.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (.f64 (/.f64 x (-.f64 (.f64 x y) z)) y) (.f64 x y) (.f64 (/.f64 z (-.f64 (*.f64 x y) z)) (neg.f64 z))))
	23.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 x y) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (*.f64 x y) z))))
	42.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (.f64 y (.f64 (/.f64 x (-.f64 (.f64 x y) z)) x)) (.f64 (/.f64 z (-.f64 (*.f64 x y) z)) (neg.f64 z))))
✓	51.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	27.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (.f64 (.f64 y y) x) (neg.f64 x) (.f64 z z)) (neg.f64 (-.f64 (.f64 x y) z))))
✓	57.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
	35.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
	44.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (* (* y y) x) (/ x (- (* x y) z))) (/ (* (neg z) z) (- (* x y) z))) (*.f64 (+.f64 (/.f64 z x) y) x)))
✓	17.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
	35.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (.f64 z (.f64 #s(literal 1/24 binary64) y)) y (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
	35.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) y z)))
✓	35.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
	34.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 (fabs.f64 (.f64 #s(literal 1/24 binary64) y)) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
	35.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 #s(approx (* z (+ (* (* 1/24 y) y) -1/2)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 z y) y))) (.f64 y y) z)))
	35.0%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 #s(approx (* z (+ (* 1/24 (* y y)) -1/2)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) z))) (.f64 y y) z)))

Compiler

Compiled 2 532 to 991 computations (60.9% saved)

regimes146.0ms (1.9%)

Memory

0.2MiB live, 144.9MiB allocated; 21ms collecting garbage

Counts

60 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (.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 (* (cos y) z) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) z) y z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) 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))) #s(approx (+ (* (* (* y y) x) (/ x (- (* x y) z))) (/ (* (neg z) z) (- (* x y) z))) (*.f64 (+.f64 (/.f64 z x) y) x)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (sin y) (/ x z)) (cos y)) (fma.f64 (/.f64 x z) y #s(literal 1 binary64))) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (.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 (* (cos y) z) (fma.f64 #s(approx (* z (+ (* 1/24 (* y y)) -1/2)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 y y) z))) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 #s(approx (* z (+ (* (* 1/24 y) y) -1/2)) (.f64 #s(literal 1/24 binary64) (.f64 (.f64 z y) y))) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #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))) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 (.f64 #s(literal 1/24 binary64) y) y #s(literal -1/2 binary64))) (*.f64 y 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 (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 (fabs.f64 (.f64 #s(literal 1/24 binary64) y)) y #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (.f64 z (.f64 #s(literal 1/24 binary64) y)) y (.f64 #s(literal -1/2 binary64) z)) (.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (fma.f64 (.f64 (.f64 y y) x) (neg.f64 x) (.f64 z z)) (neg.f64 (-.f64 (.f64 x y) z))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 x y) z) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) y (/.f64 x z)) y #s(literal 1 binary64))) z))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y (.f64 y (.f64 (/.f64 x (-.f64 (.f64 x y) z)) x)) (.f64 (/.f64 z (-.f64 (*.f64 x y) z)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 x y) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (*.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (.f64 (.f64 y y) x) (/.f64 x (-.f64 (.f64 x y) z)) (/.f64 (.f64 (neg.f64 z) z) (-.f64 (*.f64 x y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (.f64 (/.f64 x (-.f64 (.f64 x y) z)) y) (.f64 x y) (.f64 (/.f64 z (-.f64 (*.f64 x y) z)) (neg.f64 z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (sin y) (/ x z)) (cos y)) (*.f64 (/.f64 (sin.f64 y) z) x)) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)) z))
#s(approx (+ (* (sqrt (* (- 1/2 (* (cos (* 2 y)) 1/2)) x)) (sqrt x)) (* (cos y) z)) (.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64))) x))
(fma.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) x)) (sqrt.f64 x) (.f64 #s(approx (cos y) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) y #s(literal 1 binary64))) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
(fma.f64 (.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
(fma.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z)) (sqrt.f64 z) (*.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 1/2 binary64))) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 (.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 (fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (.f64 (/.f64 (sin.f64 y) z) x)) z))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 2 binary64) y)))) (sqrt.f64 #s(literal 2 binary64))) x (.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (sqrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))) (/.f64 (neg.f64 (pow.f64 (.f64 z (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (.f64 x (sin.f64 y)))))
#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (-.f64 (cos.f64 y) (.f64 (/.f64 (sin.f64 y) z) x)) (pow.f64 (.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) (.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (cos.f64 y)) (.f64 #s(literal 1 binary64) (cos.f64 y))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))))) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) (.f64 #s(literal 1 binary64) (cos.f64 y))))))))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.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)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.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 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))

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

Calls

4 calls:

57.0ms	y
49.0ms	x
15.0ms	z
15.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes72.0ms (0.9%)

Memory

-25.5MiB live, 74.9MiB allocated; 13ms collecting garbage

Counts

35 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

29.0ms	z
23.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
9.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
80.1%	2	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
87.6%	3	`x`
78.4%	1	`y`
88.5%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes30.0ms (0.4%)

Memory

-20.6MiB live, 26.0MiB allocated; 3ms collecting garbage

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
88.5%	3	`z`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes51.0ms (0.7%)

Memory

43.3MiB live, 90.1MiB allocated; 2ms collecting garbage

Counts

29 → 3

Calls

Call 1

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

Outputs

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

#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x))

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

Calls

4 calls:

26.0ms	x
8.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
8.0ms	y
8.0ms	z

Results

Accuracy	Segments	Branch
79.6%	5	`y`
63.1%	3	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
73.6%	3	`x`
79.9%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes55.0ms (0.7%)

Memory

-4.8MiB live, 42.3MiB allocated; 2ms collecting garbage

Counts

28 → 3

Calls

Call 1

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

Calls

3 calls:

39.0ms	z
7.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
67.5%	3	`x`
73.0%	3	`y`
68.0%	3	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes122.0ms (1.6%)

Memory

-24.7MiB live, 119.6MiB allocated; 7ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
38.0ms	z
33.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
51.3%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
51.3%	1	`x`
51.3%	1	`z`
51.3%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes39.0ms (0.5%)

Memory

-11.4MiB live, 33.7MiB allocated; 3ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Results

Accuracy	Segments	Branch
43.0%	3	`x`
37.4%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
37.4%	1	`y`
42.4%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
17.8%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
17.8%	1	`y`
17.8%	1	`z`
17.8%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch82.0ms (1.1%)

Memory

0.9MiB live, 108.7MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	9.203874605172167e+87	1.2836839894102393e+91
43.0ms	-1.9197265385389428e+30	-9.617366358916429e+26

Samples

69.0ms

256×

valid

Compiler

Compiled 412 to 382 computations (7.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-cos: 31.0ms (72.5% of total)

ival-sin: 6.0ms (14% of total)

ival-mult: 4.0ms (9.4% of total)

ival-add: 1.0ms (2.3% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.5MiB live, 4.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.203874605172167e+87	1.2836839894102393e+91
1.0ms	-1.9197265385389428e+30	-9.617366358916429e+26

Compiler

Compiled 396 to 366 computations (7.6% saved)

bsearch55.0ms (0.7%)

Memory

-5.4MiB live, 41.8MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	5.589878723733881e-90	4.477587743285312e-80
32.0ms	-1.5246038147634761e-12	-3.2001295513614053e-13

Samples

42.0ms

256×

valid

Compiler

Compiled 556 to 478 computations (14% saved)

Precisions

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

ival-sin: 6.0ms (38.1% of total)

ival-cos: 5.0ms (31.8% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

bsearch53.0ms (0.7%)

Memory

2.2MiB live, 49.4MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	343.9537376590818	1854.9690972837288
35.0ms	-2888.8290079241874	-0.001457668327942359

Samples

20.0ms

240×

valid

Compiler

Compiled 582 to 449 computations (22.9% saved)

Precisions

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

ival-sin: 5.0ms (36.2% of total)

ival-cos: 4.0ms (29% of total)

ival-mult: 3.0ms (21.7% of total)

ival-add: 1.0ms (7.2% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch51.0ms (0.7%)

Memory

11.7MiB live, 60.5MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	4.5114825249523556e+225	2.950563352316975e+242
28.0ms	-4.515345749130992e+71	-4.008795687737257e+62

Samples

26.0ms

304×

valid

Compiler

Compiled 677 to 527 computations (22.2% saved)

Precisions

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

ival-sin: 7.0ms (38.3% of total)

ival-cos: 6.0ms (32.9% of total)

ival-mult: 4.0ms (21.9% of total)

ival-add: 1.0ms (5.5% of total)

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

adjust: 0.0ms (0% of total)

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

simplify101.0ms (1.3%)

Memory

-9.8MiB live, 79.6MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	242
1	110	242
2	157	242
3	276	242
4	525	242
5	1141	242
6	2738	242
7	5637	242

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(if (<=.f64 z #s(literal -3899999999999999859406929920 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -3899999999999999859406929920 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (fma.f64 (sin.f64 y) x (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -6437288204283977/19807040628566084398385987584 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 2029768672598635/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) #s(approx (+ ( (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (.f64 (sin.f64 y) x)) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -3422735716801577/18014398509481984 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 350 binary64)) #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))) (*.f64 (cos.f64 y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 x #s(literal -339999999999999984815804307206829625576824593371778690788974276089217024 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) (if (<=.f64 x #s(literal 5399999999999999712280354776669249037059399211213441806765404535377786191684221855371777480728642860268948406092162095630904883017225472479440732110347573770167678431487131382145428696514272105200485524480990434584548584980480 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 #s(approx (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 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(if (<=.f64 z #s(literal -3899999999999999859406929920 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64)))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (or (<=.f64 z #s(literal -3899999999999999859406929920 binary64)) (not (<=.f64 z #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (+.f64 (.f64 x (sin.f64 y)) (*.f64 z #s(approx (cos y) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal -3899999999999999859406929920 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (fma.f64 (sin.f64 y) x (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (or (<=.f64 z #s(literal -3899999999999999859406929920 binary64)) (not (<=.f64 z #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (fma.f64 (sin.f64 y) x (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)))
(if (<=.f64 z #s(literal -6437288204283977/19807040628566084398385987584 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 2029768672598635/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) #s(approx (+ ( (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (.f64 (sin.f64 y) x)) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (or (<=.f64 z #s(literal -6437288204283977/19807040628566084398385987584 binary64)) (not (<=.f64 z #s(literal 2029768672598635/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) #s(approx (+ ( (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x)))
(if (<=.f64 y #s(literal -3422735716801577/18014398509481984 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 350 binary64)) #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))) (*.f64 (cos.f64 y) z))))
(if (or (<=.f64 y #s(literal -3422735716801577/18014398509481984 binary64)) (not (<=.f64 y #s(literal 350 binary64)))) #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 (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 y x z))
(if (<=.f64 x #s(literal -339999999999999984815804307206829625576824593371778690788974276089217024 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) (if (<=.f64 x #s(literal 5399999999999999712280354776669249037059399211213441806765404535377786191684221855371777480728642860268948406092162095630904883017225472479440732110347573770167678431487131382145428696514272105200485524480990434584548584980480 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))))
(if (or (<=.f64 x #s(literal -339999999999999984815804307206829625576824593371778690788974276089217024 binary64)) (not (<=.f64 x #s(literal 5399999999999999712280354776669249037059399211213441806765404535377786191684221855371777480728642860268948406092162095630904883017225472479440732110347573770167678431487131382145428696514272105200485524480990434584548584980480 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

derivations782.0ms (10.3%)

Memory

-11.6MiB live, 702.6MiB allocated; 106ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	39	21
2	251	21
3	2629	21
0	8333	20
0	109	288
1	417	284
2	1479	274
3	3945	272
4	7797	272
0	8009	241
0	259	759
1	984	748
2	3635	703
3	7593	703
0	8008	642

Stop Event

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

Compiler

Compiled 242 to 75 computations (69% saved)

preprocess51.0ms (0.7%)

Memory: -6.7MiB live, 134.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 502 to 166 computations (66.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (17.2%)

explain137.0ms (1.8%)

preprocess188.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify165.0ms (2.2%)

localize55.0ms (0.7%)

series44.0ms (0.6%)

simplify171.0ms (2.3%)

rewrite210.0ms (2.8%)

eval89.0ms (1.2%)

prune49.0ms (0.6%)

simplify126.0ms (1.7%)

localize154.0ms (2%)

series61.0ms (0.8%)

simplify253.0ms (3.3%)

rewrite289.0ms (3.8%)

eval149.0ms (2%)

prune100.0ms (1.3%)

simplify175.0ms (2.3%)

localize176.0ms (2.3%)

series59.0ms (0.8%)

simplify281.0ms (3.7%)

rewrite225.0ms (3%)

eval125.0ms (1.7%)

prune103.0ms (1.4%)

simplify204.0ms (2.7%)

localize237.0ms (3.1%)

series194.0ms (2.6%)

simplify196.0ms (2.6%)

rewrite182.0ms (2.4%)

eval146.0ms (1.9%)

prune45.0ms (0.6%)

regimes146.0ms (1.9%)

regimes72.0ms (0.9%)

regimes30.0ms (0.4%)

regimes51.0ms (0.7%)

regimes55.0ms (0.7%)

regimes122.0ms (1.6%)

regimes39.0ms (0.5%)

regimes5.0ms (0.1%)

bsearch82.0ms (1.1%)

bsearch2.0ms (0%)

bsearch55.0ms (0.7%)

bsearch53.0ms (0.7%)

bsearch51.0ms (0.7%)

simplify101.0ms (1.3%)

derivations782.0ms (10.3%)

preprocess51.0ms (0.7%)

end0.0ms (0%)

Profiling