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

0.4MiB live, 0.4MiB 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)

sample1.6s (19.4%)

Memory

17.1MiB live, 2 012.7MiB allocated; 458ms collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 970.0ms

ival-sin: 399.0ms (41.2% of total)

ival-cos: 302.0ms (31.2% of total)

ival-mult: 132.0ms (13.6% of total)

ival-add: 124.0ms (12.8% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 4.0ms (0.4% of total)

adjust: 3.0ms (0.3% of total)

Bogosity

explain202.0ms (2.4%)

Memory

-19.7MiB live, 179.8MiB allocated; 24ms 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

99.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-sin: 26.0ms (55.1% of total)

ival-cos: 11.0ms (23.3% of total)

ival-mult: 7.0ms (14.8% of total)

ival-add: 2.0ms (4.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess232.0ms (2.8%)

Memory

26.6MiB live, 257.8MiB allocated; 25ms 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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify232.0ms (2.8%)

Memory

-16.1MiB live, 182.0MiB allocated; 23ms 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)

localize85.0ms (1%)

Memory

-33.3MiB live, 66.2MiB allocated; 13ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(cos.f64 y)
accuracy	0.0078125	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
accuracy	0.09375	(*.f64 z (cos.f64 y))
accuracy	0.11328125	(*.f64 x (sin.f64 y))

Samples

45.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sin: 27.0ms (73.9% of total)

ival-cos: 5.0ms (13.7% of total)

ival-mult: 4.0ms (11% of total)

ival-add: 1.0ms (2.7% of total)

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

adjust: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms 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
2.0ms	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	@	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))

simplify177.0ms (2.1%)

Memory

22.6MiB live, 208.1MiB allocated; 41ms 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))

rewrite223.0ms (2.7%)

Memory

5.4MiB live, 324.5MiB allocated; 54ms 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)))

eval147.0ms (1.8%)

Memory: -13.3MiB live, 201.1MiB allocated; 73ms collecting garbage
Compiler: Compiled 7 595 to 796 computations (89.5% saved)

prune22.0ms (0.3%)

Memory

-19.2MiB live, 79.2MiB allocated; 11ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	278	15	293
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	279	15	294

Accuracy

99.9%

Counts

294 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.6%	(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)))))
	36.9%	(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)))))
	40.5%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
	26.8%	(fma.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
	55.7%	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
▶	47.0%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
▶	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
▶	54.8%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
	60.7%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (fma.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))))))))
	78.1%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	51.7%	(.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)))))
	53.4%	#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))
	53.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
▶	54.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
▶	60.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))

Compiler

Compiled 834 to 408 computations (51.1% saved)

simplify285.0ms (3.4%)

Memory

22.7MiB live, 435.3MiB allocated; 101ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))
cost-diff	15	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	(sqrt.f64 (*.f64 (cos.f64 y) z))
cost-diff	7	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
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	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) x)
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	177
0	43	153
1	80	153
2	184	153
3	581	153
4	1781	153
5	5188	153
0	8250	153

Stop Event

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

Calls

Call 1

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

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

localize178.0ms (2.1%)

Memory

-14.5MiB live, 232.5MiB allocated; 58ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
accuracy	0.1328125	(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
accuracy	1.3554625574906176	(-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))
accuracy	13.616924553071645	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
accuracy	0.01953125	(sqrt.f64 (*.f64 (cos.f64 y) z))
accuracy	0.05078125	(*.f64 (cos.f64 y) z)
accuracy	0.05859375	(*.f64 (sin.f64 y) x)
accuracy	0.15234375	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
accuracy	0.0	(cos.f64 y)
accuracy	0.05078125	(*.f64 (cos.f64 y) z)
accuracy	13.066612424053162	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
accuracy	0.0	(fma.f64 y x z)
accuracy	14.60579627519349	#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	0.0234375	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy	0.05859375	(*.f64 (sin.f64 y) x)

Samples

73.0ms	121×	0	valid
31.0ms	135×	0	invalid

Compiler

Compiled 174 to 26 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 10.0ms (24.8% of total)

ival-cos: 9.0ms (22.3% of total)

ival-add: 5.0ms (12.4% of total)

ival-sin: 5.0ms (12.4% of total)

ival-pow2: 5.0ms (12.4% of total)

ival-div: 2.0ms (5% of total)

ival-sqrt: 2.0ms (5% of total)

ival-sub: 1.0ms (2.5% of total)

ival-neg: 1.0ms (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)

series68.0ms (0.8%)

Memory

-2.1MiB live, 98.8MiB allocated; 10ms collecting garbage

Counts

14 → 63

Calls

Call 1

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

Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
z
(+ z (* x y))
(* (pow z 2) (pow (cos y) 2))
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2)))
(* (pow x 2) (pow (sin y) 2))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x y)
(* x (+ y (/ z x)))
(* -1 (* (pow x 2) (pow (sin y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -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 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ 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))))))
(sqrt z)
(+ (sqrt z) (* -1/4 (* (pow y 2) (sqrt z))))
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* 1/2 (* (* (pow y 2) (- (* 1/24 z) (* 1/16 z))) (sqrt (/ 1 z)))))))
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* 1/24 z) (* 1/16 z)))) (* 1/2 (* (* (pow y 2) (- (* -1/720 z) (* -1/4 (- (* 1/24 z) (* 1/16 z))))) (sqrt (/ 1 z)))))))))
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(pow z 2)
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(cos y)
(sin y)
(* y (+ x (/ z y)))
(sqrt (* z (cos y)))
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y))))
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x y) z)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 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
38.0ms	y	@	0	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))
6.0ms	z	@	-inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))
5.0ms	y	@	-inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))
4.0ms	x	@	0	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))
4.0ms	y	@	inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))

simplify193.0ms (2.3%)

Memory

39.9MiB live, 176.9MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	932
1	989	895
2	3835	875
0	8494	804

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 61

Calls

Call 1

Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
z
(+ z (* x y))
(* (pow z 2) (pow (cos y) 2))
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2)))
(* (pow x 2) (pow (sin y) 2))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x y)
(* x (+ y (/ z x)))
(* -1 (* (pow x 2) (pow (sin y) 2)))
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -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 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ 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))))))
(sqrt z)
(+ (sqrt z) (* -1/4 (* (pow y 2) (sqrt z))))
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* 1/2 (* (* (pow y 2) (- (* 1/24 z) (* 1/16 z))) (sqrt (/ 1 z)))))))
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* 1/24 z) (* 1/16 z)))) (* 1/2 (* (* (pow y 2) (- (* -1/720 z) (* -1/4 (- (* 1/24 z) (* 1/16 z))))) (sqrt (/ 1 z)))))))))
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(pow z 2)
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(cos y)
(sin y)
(* y (+ x (/ z y)))
(sqrt (* z (cos y)))
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y))))
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x y) z)))
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))

Outputs
(* z (cos y))
(*.f64 (cos.f64 y) z)
(+ (* x (sin y)) (* z (cos y)))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
z
(+ z (* x y))
(fma.f64 x y z)
(* (pow z 2) (pow (cos y) 2))
(.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2)))
(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x) (.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))
(* (pow x 2) (pow (sin y) 2))
(.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) 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 (* (pow x 2) (pow (sin y) 2)))
(.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2)))
(.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) x) (/.f64 z x)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (.f64 x 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)
(+ 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 (* -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 (-.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))
(* 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 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (*.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 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal 1/120 binary64) x)) y) y (.f64 #s(literal -1/6 binary64) x)) (.f64 x y))
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)) (-.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)) 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 (fma.f64 (.f64 (.f64 z (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64))) y) y (.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)
(sqrt z)
(sqrt.f64 z)
(+ (sqrt z) (* -1/4 (* (pow y 2) (sqrt z))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 1 binary64)) (sqrt.f64 z))
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* 1/2 (* (* (pow y 2) (- (* 1/24 z) (* 1/16 z))) (sqrt (/ 1 z)))))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) z) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 z))) (.f64 y y) (sqrt.f64 z))
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* 1/24 z) (* 1/16 z)))) (* 1/2 (* (* (pow y 2) (- (* -1/720 z) (* -1/4 (- (* 1/24 z) (* 1/16 z))))) (sqrt (/ 1 z)))))))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 1 binary64)) (sqrt.f64 z) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/48 binary64) z (.f64 (fma.f64 #s(literal -1/720 binary64) z (.f64 (neg.f64 z) #s(literal 1/192 binary64))) (*.f64 y y)))) #s(literal 1/2 binary64))))
(+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) z))) y x) y z)
(+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))
(fma.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 x x (.f64 (neg.f64 x) x)) z))) (neg.f64 (/.f64 x z)) (.f64 #s(literal -1/3 binary64) x)) y z)) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) z))) y x) y z)
(pow z 2)
(*.f64 z z)
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))
(fma.f64 (neg.f64 (fma.f64 z z (.f64 x x))) (.f64 y y) (*.f64 z z))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 x x))) (.f64 y y) (neg.f64 (fma.f64 z z (.f64 x x)))) (.f64 y y) (.f64 z z))
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2/45 binary64) (fma.f64 z z (.f64 x x))) (.f64 y y) (.f64 #s(literal 1/3 binary64) (fma.f64 z z (.f64 x x)))) (.f64 y y) (neg.f64 (fma.f64 z z (.f64 x x)))) (.f64 y y) (*.f64 z z))
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))
(.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (.f64 z z))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))
(fma.f64 (.f64 (.f64 z z) (fma.f64 #s(literal 1/3 binary64) (.f64 y y) #s(literal -1 binary64))) (.f64 y y) (*.f64 z z))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))
(fma.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (.f64 z z) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 z z) (fma.f64 #s(literal -2/45 binary64) (*.f64 y y) #s(literal 1/3 binary64)))))
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 y y) x) x)
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2)))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/3 binary64) (.f64 x x)) y) y)
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2)))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 2/45 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x x))) y) y (.f64 x x)) (*.f64 y y))
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2)))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 (.f64 (.f64 y y) x) x) (.f64 #s(literal 2/45 binary64) (.f64 x x))) y) y (.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 y y) (.f64 x x)) (.f64 y y))
(cos y)
(cos.f64 y)
(sin y)
(sin.f64 y)
(* y (+ x (/ z y)))
(*.f64 (+.f64 (/.f64 z y) x) y)
(sqrt (* z (cos y)))
(sqrt.f64 (*.f64 (cos.f64 y) z))
(/ (- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) (+ (* -1 (* x (sin y))) (* z (cos y))))
(/.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 (cos.f64 y) z)))
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2)))
(fma.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x) (.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))
(* -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)
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2)))
(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) z) (/.f64 x (neg.f64 z)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 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 (-.f64 (.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)) (neg.f64 z))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) #s(literal 1 binary64))

rewrite296.0ms (3.6%)

Memory

-32.2MiB live, 397.6MiB allocated; 88ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	120
0	43	96
1	170	96
2	1109	93
0	9559	93

Stop Event

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

Counts

14 → 1 649

Calls

Call 1

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

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

eval314.0ms (3.8%)

Memory: 21.4MiB live, 580.7MiB allocated; 65ms collecting garbage
Compiler: Compiled 45 349 to 3 413 computations (92.5% saved)

prune41.0ms (0.5%)

Memory

39.9MiB live, 133.6MiB allocated; 4ms collecting garbage

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	1 365	25	1 390
Fresh	9	1	10
Picked	2	3	5
Done	0	0	0
Total	1 376	29	1 405

Accuracy

100.0%

Counts

1 405 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.6%	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x x) (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y)))))
	48.3%	(fma.f64 (/.f64 (.f64 (.f64 x (sin.f64 y)) x) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
	26.8%	(fma.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
	55.7%	(fma.f64 (cos.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
	40.5%	(fma.f64 (cos.f64 y) z (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64))) x))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	78.1%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
	20.6%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (exp.f64 (.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))))
	27.0%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) #s(approx (pow ( (sin y) x) 2) (.f64 (.f64 (.f64 y y) x) x))) (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))))
	21.4%	(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
▶	29.1%	(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
▶	96.0%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
▶	53.4%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (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))
	53.3%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
	10.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 x y)))
	24.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y)))
✓	54.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	26.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))
	31.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 (-.f64 (.f64 z z) (.f64 (.f64 (neg.f64 y) x) (.f64 (neg.f64 y) x))) (+.f64 z (*.f64 (neg.f64 y) x))))
▶	2.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 z) (cos.f64 y)))
	28.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64))))
✓	60.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
	37.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (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))) z))
	37.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (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))
	36.9%	#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))
	38.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	47.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
▶	19.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
	37.1%	#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 1 272 to 818 computations (35.7% saved)

simplify163.0ms (2%)

Memory

-28.8MiB live, 223.8MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	279
0	73	272
1	133	266
2	300	266
3	867	266
4	2601	266
5	6644	266
0	8261	260

Stop Event

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

Calls

Call 1

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

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

localize156.0ms (1.9%)

Memory

13.8MiB live, 196.5MiB allocated; 31ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)
accuracy	0.125	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	12.247715859453827	#s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))
accuracy	13.616924553071645	(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
accuracy	0.0	(neg.f64 z)
accuracy	0.0	(cos.f64 y)
accuracy	0.05078125	(*.f64 (neg.f64 z) (cos.f64 y))
accuracy	29.515152818320395	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 z) (cos.f64 y)))
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) z)) y x)
accuracy	0.01953125	(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)
accuracy	0.09375	(fma.f64 #s(literal -1/6 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) z))
accuracy	14.84309597266635	#s(approx (+ (* (cos y) z) (* (sin y) x)) (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))
accuracy	0.0	(*.f64 x y)
accuracy	12.957300669123676	#s(approx (+ (* y x) z) (*.f64 x y))
accuracy	14.60579627519349	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
accuracy	0.0	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
accuracy	0.04296875	(/.f64 (sin.f64 y) z)
accuracy	0.0546875	(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
accuracy	1.0271666995440702	(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)

Samples

69.0ms	135×	0	invalid
63.0ms	121×	0	valid

Compiler

Compiled 227 to 45 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 25.0ms (25.2% of total)

ival-div: 20.0ms (20.2% of total)

ival-pow2: 14.0ms (14.1% of total)

ival-add: 10.0ms (10.1% of total)

ival-sqrt: 10.0ms (10.1% of total)

ival-sin: 6.0ms (6.1% of total)

ival-cos: 6.0ms (6.1% of total)

const: 4.0ms (4% of total)

ival-neg: 2.0ms (2% of total)

ival-sub: 1.0ms (1% 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)

series53.0ms (0.6%)

Memory

5.9MiB live, 90.7MiB allocated; 30ms collecting garbage

Counts

20 → 112

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	z	@	0	((+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (+ (* (/ (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) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* (neg z) (cos y)) (neg z) (cos y) (* (* (pow (cos y) 2) z) z) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (pow (cos y) 2) z) (pow (cos y) 2))
12.0ms	x	@	-inf	((+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (+ (* (/ (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) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* (neg z) (cos y)) (neg z) (cos y) (* (* (pow (cos y) 2) z) z) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (pow (cos y) 2) z) (pow (cos y) 2))
5.0ms	y	@	-inf	((+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (+ (* (/ (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) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* (neg z) (cos y)) (neg z) (cos y) (* (* (pow (cos y) 2) z) z) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (pow (cos y) 2) z) (pow (cos y) 2))
4.0ms	z	@	-inf	((+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (+ (* (/ (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) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* (neg z) (cos y)) (neg z) (cos y) (* (* (pow (cos y) 2) z) z) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (pow (cos y) 2) z) (pow (cos y) 2))
4.0ms	y	@	inf	((+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (+ (* (/ (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) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (+ (* -1/6 (* x y)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* (neg z) (cos y)) (neg z) (cos y) (* (* (pow (cos y) 2) z) z) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* (pow (cos y) 2) z) (pow (cos y) 2))

simplify276.0ms (3.3%)

Memory

-45.6MiB live, 322.1MiB allocated; 102ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	392	1513
1	1394	1439
2	5398	1415
0	8292	1297

Stop Event

1×	iter limit
1×	node limit

Counts

112 → 110

Calls

Call 1

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

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

rewrite198.0ms (2.4%)

Memory

31.3MiB live, 309.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	233
0	73	226
1	274	220
2	1822	218
0	8548	212

Stop Event

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

Counts

20 → 365

Calls

Call 1

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

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

eval80.0ms (1%)

Memory: 10.2MiB live, 202.7MiB allocated; 20ms collecting garbage
Compiler: Compiled 20 984 to 2 371 computations (88.7% saved)

prune87.0ms (1.1%)

Memory

-41.3MiB live, 106.0MiB allocated; 14ms collecting garbage

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	556	18	574
Fresh	8	13	21
Picked	3	2	5
Done	0	3	3
Total	567	36	603

Accuracy

100.0%

Counts

603 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.6%	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x x) (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y)))))
	48.3%	(fma.f64 (/.f64 (.f64 (.f64 x (sin.f64 y)) x) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
▶	55.7%	(fma.f64 (cos.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
	40.5%	(fma.f64 (cos.f64 y) z (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64))) x))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	78.1%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
	29.1%	(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 (cos.f64 y) z)))
	21.4%	(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
	29.0%	(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z)) (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))))
	84.5%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (sqrt.f64 #s(literal 2 binary64)))) z))
	84.5%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (sin.f64 (acos.f64 (sin.f64 y)))) z))
✓	96.0%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
▶	87.4%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
	38.1%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)) z))
	38.9%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
▶	41.9%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 x (sin.f64 y)))
	51.8%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (/.f64 y z) #s(literal 1/2 binary64)) (neg.f64 z))) y x) y z))
	53.5%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 x y))) y x) y z))
	53.5%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64)) x)) y z))
	36.9%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
	36.9%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (.f64 (.f64 z y) #s(literal -1/2 binary64))) y z))
	10.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 x y)))
	24.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y)))
✓	54.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	26.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))
	13.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 z) (/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (sqrt.f64 #s(literal 2 binary64)))))
	13.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 z) (sin.f64 (acos.f64 (neg.f64 (sin.f64 y))))))
	28.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64))))
✓	60.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
	37.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (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))) z))
	37.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (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))
✓	19.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
	2.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (neg z) (cos y)) (fma.f64 (.f64 z (fma.f64 #s(literal -1/24 binary64) (.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) (neg.f64 z))))
	2.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (neg z) (cos y)) (.f64 z (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal -1 binary64)))))
▶	4.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (neg z) (cos y)) (neg.f64 z)))
▶	37.1%	#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 1 776 to 1 143 computations (35.6% saved)

simplify357.0ms (4.3%)

Memory

17.6MiB live, 350.4MiB allocated; 61ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (*.f64 x (sin.f64 y)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
cost-diff	3	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 x (sin.f64 y))
cost-diff	0	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 x (sin.f64 y)))
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	(neg.f64 z)
cost-diff	0	#s(approx (* (neg z) (cos y)) (neg.f64 z))
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (neg z) (cos y)) (neg.f64 z)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))
cost-diff	0	(*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)
cost-diff	0	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	228
0	57	211
1	110	204
2	277	204
3	840	204
4	2763	204
5	5739	204
0	8140	204

Stop Event

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

Calls

Call 1

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

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

localize168.0ms (2%)

Memory

9.0MiB live, 254.2MiB allocated; 14ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 (cos.f64 y) z (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64)))
accuracy	0.0390625	(*.f64 x (sin.f64 y))
accuracy	0.06640625	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) #s(literal 2 binary64))
accuracy	1.2273899502963965	(sqrt.f64 (*.f64 x (sin.f64 y)))
accuracy	0.0	(sin.f64 y)
accuracy	0.0390625	(*.f64 x (sin.f64 y))
accuracy	7.883273619164541	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 x (sin.f64 y)))
accuracy	0.01953125	(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))
accuracy	0.7036045758923031	(.f64 z (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64)))
accuracy	7.592033484050505	#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	7.611129504426181	#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	0.0	(neg.f64 z)
accuracy	7.122435379663581	#s(approx (* (neg z) (cos y)) (neg.f64 z))
accuracy	15.75124721348537	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (neg z) (cos y)) (neg.f64 z)))
accuracy	0.0	(cos.f64 y)
accuracy	0.0	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
accuracy	0.760522462159881	(*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z)
accuracy	2.133331958988556	(fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y))

Samples

120.0ms	192×	0	invalid
16.0ms	64×	0	valid

Compiler

Compiled 176 to 33 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-pow2: 23.0ms (26% of total)

ival-mult: 17.0ms (19.2% of total)

ival-cos: 17.0ms (19.2% of total)

ival-add: 16.0ms (18.1% of total)

ival-sin: 5.0ms (5.6% of total)

const: 4.0ms (4.5% of total)

ival-sqrt: 3.0ms (3.4% of total)

ival-div: 2.0ms (2.3% of total)

ival-neg: 1.0ms (1.1% 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)

series41.0ms (0.5%)

Memory

-36.2MiB live, 62.9MiB allocated; 6ms collecting garbage

Counts

18 → 65

Calls

Call 1

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

Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(* x (sin y))
(sqrt (* x (sin y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2)))
z
(+ z (* x 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))))
(* -1 z)
(+ (* -1 z) (* 1/2 (* (pow y 2) z)))
(+ (* -1 z) (* (pow y 2) (+ (* -1/24 (* (pow y 2) z)) (* 1/2 z))))
(+ (* -1 z) (* (pow y 2) (+ (* 1/2 z) (* (pow y 2) (+ (* -1/24 z) (* 1/720 (* (pow y 2) 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)))
(* 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)))))))
(+ 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))
(+ (sqrt (* x y)) (* -1/12 (sqrt (* x (pow y 5)))))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* 1/240 (sqrt (* x (pow y 3)))))))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ x y))) (* 1/240 (sqrt (/ x y))))))))
-1/2
(- (* 1/24 (pow y 2)) 1/2)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(sin y)
(* -1 (* z (cos 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)))
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(/ (+ (* 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))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	((+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (+ (* (sin y) (/ x z)) (cos y)) z) (+ (* (sin y) (/ x z)) (cos y)) (sin y) (+ (* x (sin y)) (* z (cos y))) (* (neg z) (cos y)) (neg z) (+ (* 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)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* x (sin y)) (pow (sqrt (* x (sin y))) 2) (+ (* (cos y) z) (pow (sqrt (* x (sin y))) 2)) (cos y) (sqrt (* x (sin y))) (+ (* 1/24 (* y y)) -1/2))
9.0ms	z	@	-inf	((+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (+ (* (sin y) (/ x z)) (cos y)) z) (+ (* (sin y) (/ x z)) (cos y)) (sin y) (+ (* x (sin y)) (* z (cos y))) (* (neg z) (cos y)) (neg z) (+ (* 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)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* x (sin y)) (pow (sqrt (* x (sin y))) 2) (+ (* (cos y) z) (pow (sqrt (* x (sin y))) 2)) (cos y) (sqrt (* x (sin y))) (+ (* 1/24 (* y y)) -1/2))
3.0ms	z	@	inf	((+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (+ (* (sin y) (/ x z)) (cos y)) z) (+ (* (sin y) (/ x z)) (cos y)) (sin y) (+ (* x (sin y)) (* z (cos y))) (* (neg z) (cos y)) (neg z) (+ (* 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)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* x (sin y)) (pow (sqrt (* x (sin y))) 2) (+ (* (cos y) z) (pow (sqrt (* x (sin y))) 2)) (cos y) (sqrt (* x (sin y))) (+ (* 1/24 (* y y)) -1/2))
2.0ms	z	@	0	((+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (+ (* (sin y) (/ x z)) (cos y)) z) (+ (* (sin y) (/ x z)) (cos y)) (sin y) (+ (* x (sin y)) (* z (cos y))) (* (neg z) (cos y)) (neg z) (+ (* 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)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* x (sin y)) (pow (sqrt (* x (sin y))) 2) (+ (* (cos y) z) (pow (sqrt (* x (sin y))) 2)) (cos y) (sqrt (* x (sin y))) (+ (* 1/24 (* y y)) -1/2))
2.0ms	y	@	inf	((+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (+ (* (sin y) (/ x z)) (cos y)) z) (+ (* (sin y) (/ x z)) (cos y)) (sin y) (+ (* x (sin y)) (* z (cos y))) (* (neg z) (cos y)) (neg z) (+ (* 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)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* x (sin y)) (pow (sqrt (* x (sin y))) 2) (+ (* (cos y) z) (pow (sqrt (* x (sin y))) 2)) (cos y) (sqrt (* x (sin y))) (+ (* 1/24 (* y y)) -1/2))

simplify209.0ms (2.5%)

Memory

20.9MiB live, 213.8MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	689
1	767	664
2	2783	649
3	6123	645
0	8071	588

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 63

Calls

Call 1

Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(+ (cos y) (/ (* x (sin y)) z))
(* x (sin y))
(sqrt (* x (sin y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(/ (* x (sin y)) z)
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2)))
z
(+ z (* x 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))))
(* -1 z)
(+ (* -1 z) (* 1/2 (* (pow y 2) z)))
(+ (* -1 z) (* (pow y 2) (+ (* -1/24 (* (pow y 2) z)) (* 1/2 z))))
(+ (* -1 z) (* (pow y 2) (+ (* 1/2 z) (* (pow y 2) (+ (* -1/24 z) (* 1/720 (* (pow y 2) 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)))
(* 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)))))))
(+ 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))
(+ (sqrt (* x y)) (* -1/12 (sqrt (* x (pow y 5)))))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* 1/240 (sqrt (* x (pow y 3)))))))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ x y))) (* 1/240 (sqrt (/ x y))))))))
-1/2
(- (* 1/24 (pow y 2)) 1/2)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(sin y)
(* -1 (* z (cos 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)))
(* 1/24 (pow y 2))
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2)))))
(/ (+ (* 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))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1)))

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

rewrite228.0ms (2.8%)

Memory

10.7MiB live, 140.4MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	198
0	57	180
1	214	174
2	1372	172
0	8446	172

Stop Event

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

Counts

18 → 574

Calls

Call 1

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

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

eval150.0ms (1.8%)

Memory: -1.2MiB live, 150.6MiB allocated; 12ms collecting garbage
Compiler: Compiled 24 446 to 2 475 computations (89.9% saved)

prune103.0ms (1.2%)

Memory

-29.7MiB live, 69.3MiB allocated; 9ms collecting garbage

Pruning

41 alts after pruning (33 fresh and 8 done)

	Pruned	Kept	Total
New	678	10	688
Fresh	3	23	26
Picked	2	3	5
Done	0	5	5
Total	683	41	724

Accuracy

100.0%

Counts

724 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.6%	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x x) (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y)))))
	48.3%	(fma.f64 (/.f64 (.f64 (.f64 x (sin.f64 y)) x) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))))
	55.5%	(fma.f64 (cos.f64 y) z (pow.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	78.1%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
	29.1%	(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (sin.f64 y) (.f64 (cos.f64 y) z)))
	21.4%	(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
	29.0%	(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) z) z)) (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))))
	20.6%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) #s(literal 2 binary64)))
	84.5%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (sqrt.f64 #s(literal 2 binary64)))) z))
	84.5%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (sin.f64 (acos.f64 (sin.f64 y)))) z))
✓	96.0%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
✓	87.4%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
	16.7%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3/2 binary64)))))
	38.1%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 x (sin.f64 y)) z)) z))
	38.9%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) #s(literal 1 binary64)) z))
	16.6%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 x (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))))
✓	41.9%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 x (sin.f64 y)))
	19.0%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* x (sin y)) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)))
	51.8%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (/.f64 y z) #s(literal 1/2 binary64)) (neg.f64 z))) y x) y z))
	53.5%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 x y))) y x) y z))
	36.9%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))) y z))
	36.9%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (.f64 (.f64 z y) #s(literal -1/2 binary64))) y z))
	10.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 x y)))
	24.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y)))
✓	54.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	26.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))
	13.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 z) (/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (sqrt.f64 #s(literal 2 binary64)))))
	13.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (neg.f64 z) (sin.f64 (acos.f64 (neg.f64 (sin.f64 y))))))
	28.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64))))
✓	60.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))
	37.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (cos y) (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))) z))
✓	19.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
	2.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (neg z) (cos y)) (fma.f64 (.f64 z (fma.f64 #s(literal -1/24 binary64) (.f64 y y) #s(literal 1/2 binary64))) (*.f64 y y) (neg.f64 z))))
	2.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (neg z) (cos y)) (.f64 z (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/24 binary64) (*.f64 y y) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
	2.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (neg z) (cos y)) (.f64 z (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal -1 binary64)))))
✓	4.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (neg z) (cos y)) (neg.f64 z)))
	37.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.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) z)))
	37.1%	#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)))
	36.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (.f64 z #s(approx (+ ( 1/24 (* y y)) -1/2) (.f64 #s(literal 1/24 binary64) (.f64 y y)))) (*.f64 y y) z)))
	37.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (.f64 z (fma.f64 (.f64 y y) (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))

Compiler

Compiled 2 927 to 1 051 computations (64.1% saved)

regimes122.0ms (1.5%)

Memory

23.4MiB live, 115.2MiB allocated; 5ms collecting garbage

Counts

69 → 1

Calls

Call 1

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

Calls

4 calls:

44.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
40.0ms	x
17.0ms	z
17.0ms	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)

regimes61.0ms (0.7%)

Memory

-9.9MiB live, 84.5MiB allocated; 11ms collecting garbage

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

24.0ms	y
15.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
9.0ms	x
9.0ms	z

Results

Accuracy	Segments	Branch
79.9%	2	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
90.7%	3	`x`
83.9%	4	`y`
89.8%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes70.0ms (0.8%)

Memory

1.1MiB live, 92.9MiB allocated; 5ms collecting garbage

Counts

33 → 4

Calls

Call 1

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

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

Calls

4 calls:

36.0ms	z
15.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
9.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
65.9%	3	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
80.7%	4	`y`
76.5%	3	`z`
75.8%	3	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Counts

31 → 3

Calls

Call 1

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

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
76.7%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes57.0ms (0.7%)

Memory

-6.3MiB live, 41.1MiB allocated; 1ms collecting garbage

Counts

30 → 1

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	x
8.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
8.0ms	y
8.0ms	z

Results

Accuracy	Segments	Branch
54.5%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
54.5%	1	`x`
54.5%	1	`z`
54.5%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes8.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

#s(approx (+ (* 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	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
38.9%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
45.4%	3	`x`
44.2%	3	`z`
38.9%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
19.4%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
19.4%	1	`y`
19.4%	1	`z`
19.4%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes29.0ms (0.4%)

Memory

-48.1MiB live, 10.6MiB allocated; 9ms 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 (* (neg z) (cos y)) (neg.f64 z)))

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

Calls

4 calls:

25.0ms	x
1.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
4.6%	1	`x`
4.6%	1	`y`
4.6%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
4.6%	1	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch31.0ms (0.4%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	107.19024929161112	3071.512685979141
14.0ms	-9.171518581970333e-167	-3.8967106733623575e-168

Samples

19.0ms

224×

valid

Compiler

Compiled 348 to 322 computations (7.5% saved)

Precisions

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

ival-sin: 5.0ms (36.3% of total)

ival-cos: 4.0ms (29.1% of total)

ival-mult: 3.0ms (21.8% of total)

ival-add: 1.0ms (7.3% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch77.0ms (0.9%)

Memory

18.5MiB live, 65.0MiB allocated; 4ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	4.538944309142322e+143	3.814132028470734e+145
43.0ms	5.458959299601265e-14	5.137258307722735e-9
13.0ms	-0.011099329202963006	-4.753134815228082e-7

Samples

58.0ms

384×

valid

Compiler

Compiled 881 to 656 computations (25.5% saved)

Precisions

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

ival-sin: 7.0ms (35.6% of total)

ival-cos: 6.0ms (30.5% of total)

ival-mult: 5.0ms (25.4% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch36.0ms (0.4%)

Memory

-4.9MiB live, 41.8MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	12002352273173.633	26234706659489130.0
4.0ms	-0.011099329202963006	-4.753134815228082e-7

Samples

27.0ms

160×

valid

Compiler

Compiled 620 to 478 computations (22.9% saved)

Precisions

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

ival-sin: 5.0ms (42.3% of total)

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

ival-mult: 2.0ms (16.9% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch23.0ms (0.3%)

Memory

-4.3MiB live, 42.3MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.3284191272157228e+209	2.4912724279681354e+209
13.0ms	-4.366868837522039e+156	-5.437146814478647e+155

Samples

15.0ms

160×

valid

Compiler

Compiled 362 to 284 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 5.0ms (43.8% of total)

ival-sin: 4.0ms (35.1% of total)

ival-mult: 2.0ms (17.5% of total)

ival-add: 1.0ms (8.8% of total)

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

adjust: 0.0ms (0% of total)

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

simplify65.0ms (0.8%)

Memory

-6.8MiB live, 43.1MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	256
1	119	256
2	167	256
3	249	256
4	389	256
5	733	256
6	1644	256
7	3660	256
8	7048	256

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 x #s(literal -2987651209594315/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 (sin.f64 y) x)) (if (<=.f64 x #s(literal 320 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 (sin.f64 y) x))))
(if (<=.f64 y #s(literal -5188146770730811/576460752303423488 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 6165521680034609/1208925819614629174706176 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (.f64 z y) #s(literal -1/2 binary64) x) y z)) (if (<=.f64 y #s(literal 6999999999999999646342458862904951330907945967972580917982303287726054162329222642735748183957778738910220639410709919269701836926060853081407488 binary64)) #s(approx (+ ( (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (.f64 x (sin.f64 y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 y #s(literal -3170534137668829/288230376151711744 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 12200000000000 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 -1049999999999999906312575017652278713823614770771119801744973652776969600603676472654249553513801593870388538438046808176699047134356423136740942156218236928 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) (if (<=.f64 x #s(literal 134999999999999995270294118348380397448932399079135444797370856104158399148685977725493525301653113891206446664370700927546728133164974716101383217739942448300790054562189336983926365177255949089797729356349440 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)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (neg z) (cos y)) (neg.f64 z)))

Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 x #s(literal -2987651209594315/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 (sin.f64 y) x)) (if (<=.f64 x #s(literal 320 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 (sin.f64 y) x))))
(if (or (<=.f64 x #s(literal -2987651209594315/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (not (<=.f64 x #s(literal 320 binary64)))) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 (sin.f64 y) x)) #s(approx (+ ( (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)))
(if (<=.f64 y #s(literal -5188146770730811/576460752303423488 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 6165521680034609/1208925819614629174706176 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (.f64 z y) #s(literal -1/2 binary64) x) y z)) (if (<=.f64 y #s(literal 6999999999999999646342458862904951330907945967972580917982303287726054162329222642735748183957778738910220639410709919269701836926060853081407488 binary64)) #s(approx (+ ( (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (.f64 x (sin.f64 y))) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 y #s(literal -5188146770730811/576460752303423488 binary64)) #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 6165521680034609/1208925819614629174706176 binary64)) #s(approx (+ ( (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (fma.f64 (fma.f64 (.f64 z y) #s(literal -1/2 binary64) x) y z)) (if (<=.f64 y #s(literal 6999999999999999646342458862904951330907945967972580917982303287726054162329222642735748183957778738910220639410709919269701836926060853081407488 binary64)) #s(approx (+ ( (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (.f64 x (sin.f64 y))) #s(approx (+ ( (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 y #s(literal -3170534137668829/288230376151711744 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 12200000000000 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 -3170534137668829/288230376151711744 binary64)) (not (<=.f64 y #s(literal 12200000000000 binary64)))) #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (.f64 (cos.f64 y) z)) #s(approx (+ ( (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (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))
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (fma.f64 y x z))
(if (<=.f64 x #s(literal -1049999999999999906312575017652278713823614770771119801744973652776969600603676472654249553513801593870388538438046808176699047134356423136740942156218236928 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) (if (<=.f64 x #s(literal 134999999999999995270294118348380397448932399079135444797370856104158399148685977725493525301653113891206446664370700927546728133164974716101383217739942448300790054562189336983926365177255949089797729356349440 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 -1049999999999999906312575017652278713823614770771119801744973652776969600603676472654249553513801593870388538438046808176699047134356423136740942156218236928 binary64)) (not (<=.f64 x #s(literal 134999999999999995270294118348380397448932399079135444797370856104158399148685977725493525301653113891206446664370700927546728133164974716101383217739942448300790054562189336983926365177255949089797729356349440 binary64)))) #s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (+ (* y x) z) (.f64 x y))) #s(approx (+ ( (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.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 (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (neg z) (cos y)) (neg.f64 z)))
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (neg z) (cos y)) (neg.f64 z)))

derivations1.0s (12.3%)

Memory

37.1MiB live, 1 010.5MiB allocated; 184ms 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	26	120
0	43	96
1	170	96
2	1109	93
0	9559	93
0	109	288
1	417	284
2	1479	274
3	3945	272
4	7797	272
0	8009	241
0	392	1513
1	1394	1439
2	5398	1415
0	8292	1297
0	274	932
1	989	895
2	3835	875
0	8494	804

Stop Event

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

Compiler

Compiled 340 to 77 computations (77.4% saved)

preprocess83.0ms (1%)

Memory: 21.6MiB live, 165.3MiB allocated; 39ms collecting garbage
Compiler: Compiled 698 to 170 computations (75.6% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (19.4%)

explain202.0ms (2.4%)

preprocess232.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify232.0ms (2.8%)

localize85.0ms (1%)

series10.0ms (0.1%)

simplify177.0ms (2.1%)

rewrite223.0ms (2.7%)

eval147.0ms (1.8%)

prune22.0ms (0.3%)

simplify285.0ms (3.4%)

localize178.0ms (2.1%)

series68.0ms (0.8%)

simplify193.0ms (2.3%)

rewrite296.0ms (3.6%)

eval314.0ms (3.8%)

prune41.0ms (0.5%)

simplify163.0ms (2%)

localize156.0ms (1.9%)

series53.0ms (0.6%)

simplify276.0ms (3.3%)

rewrite198.0ms (2.4%)

eval80.0ms (1%)

prune87.0ms (1.1%)

simplify357.0ms (4.3%)

localize168.0ms (2%)

series41.0ms (0.5%)

simplify209.0ms (2.5%)

rewrite228.0ms (2.8%)

eval150.0ms (1.8%)

prune103.0ms (1.2%)

regimes122.0ms (1.5%)

regimes61.0ms (0.7%)

regimes70.0ms (0.8%)

regimes10.0ms (0.1%)

regimes57.0ms (0.7%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes29.0ms (0.4%)

bsearch31.0ms (0.4%)

bsearch77.0ms (0.9%)

bsearch36.0ms (0.4%)

bsearch23.0ms (0.3%)

simplify65.0ms (0.8%)

derivations1.0s (12.3%)

preprocess83.0ms (1%)

end0.0ms (0%)

Profiling