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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (17.7%)

Memory

0.9MiB live, 2 037.2MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 812.0ms

ival-sin: 369.0ms (45.5% of total)

ival-cos: 215.0ms (26.5% of total)

ival-mult: 171.0ms (21.1% of total)

ival-add: 45.0ms (5.5% of total)

ival-true: 7.0ms (0.9% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain140.0ms (1.7%)

Memory

-11.8MiB live, 383.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

78.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-cos: 34.0ms (59.8% of total)

ival-sin: 11.0ms (19.3% of total)

ival-mult: 8.0ms (14.1% of total)

ival-add: 2.0ms (3.5% of total)

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

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

preprocess185.0ms (2.2%)

Memory

16.1MiB live, 246.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify155.0ms (1.9%)

Memory

16.2MiB live, 163.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize68.0ms (0.8%)

Memory

-27.0MiB live, 61.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 y)
accuracy	0.01171875	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
accuracy	0.125	(*.f64 x (sin.f64 y))
accuracy	0.13671875	(*.f64 z (cos.f64 y))

Samples

62.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-cos: 38.0ms (71.4% of total)

ival-sin: 10.0ms (18.8% of total)

ival-mult: 4.0ms (7.5% of total)

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

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

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

series9.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Counts

5 → 28

Calls

Call 1

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

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

Calls

9 calls:

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

simplify213.0ms (2.5%)

Memory

13.7MiB live, 200.0MiB allocated

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))

rewrite383.0ms (4.6%)

Memory

-46.3MiB live, 311.6MiB allocated

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)))

eval66.0ms (0.8%)

Memory: 24.8MiB live, 113.1MiB allocated
Compiler: Compiled 7 595 to 796 computations (89.5% saved)

prune62.0ms (0.7%)

Memory

-24.7MiB live, 78.9MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	276	17	293
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	277	17	294

Accuracy

99.9%

Counts

294 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(fma.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3/2 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)))) (/.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)))))
	30.0%	(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)))))
	38.1%	(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)))))
	38.0%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
	40.8%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
	40.1%	(fma.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x))
	58.0%	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
▶	46.2%	(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 (sin.f64 y) x (*.f64 (cos.f64 y) z))
▶	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	60.1%	(/.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))))
▶	99.7%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) (.f64 #s(literal 1 binary64) (cos.f64 y))))))))
▶	76.9%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	52.1%	#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))
	52.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
▶	53.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	59.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))

Compiler

Compiled 820 to 452 computations (44.9% saved)

simplify126.0ms (1.5%)

Memory

19.5MiB live, 167.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	3	(.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (cos.f64 y)))
cost-diff	3	(*.f64 #s(literal 0 binary64) (sin.f64 y))
cost-diff	6	(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
cost-diff	7	(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) (.f64 #s(literal 1 binary64) (cos.f64 y))))))
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	(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 x (sin.f64 y))
cost-diff	1	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
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	39	332
0	68	160
1	159	160
2	354	160
3	1085	160
4	4173	160
0	8248	159

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

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

localize159.0ms (1.9%)

Memory

-26.5MiB live, 165.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) (.f64 #s(literal 1 binary64) (cos.f64 y))))))
accuracy	0.1015625	(pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64))
accuracy	0.15757753907376806	(pow.f64 (cos.f64 y) #s(literal 3 binary64))
accuracy	0.16539003907376804	(pow.f64 (sin.f64 y) #s(literal 3 binary64))
accuracy	0.01953125	(sqrt.f64 (*.f64 (cos.f64 y) z))
accuracy	0.0546875	(*.f64 (cos.f64 y) z)
accuracy	0.07421875	(*.f64 (sin.f64 y) x)
accuracy	0.11947250976844202	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
accuracy	0.0078125	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
accuracy	0.0546875	(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
accuracy	0.07421875	(*.f64 x (sin.f64 y))
accuracy	13.436297239878433	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 y x z)
accuracy	14.410623478675271	#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	0.02734375	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy	0.07421875	(*.f64 (sin.f64 y) x)

Samples

64.0ms	119×	0	valid
44.0ms	137×	0	invalid

Compiler

Compiled 330 to 37 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 15.0ms (26.4% of total)

ival-add: 12.0ms (21.1% of total)

ival-cos: 7.0ms (12.3% of total)

ival-pow: 7.0ms (12.3% of total)

ival-sin: 6.0ms (10.6% of total)

ival-pow2: 5.0ms (8.8% of total)

ival-div: 2.0ms (3.5% of total)

ival-sqrt: 2.0ms (3.5% of total)

ival-sub: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

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

series17.0ms (0.2%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

20 → 56

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

Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
z
(+ z (* x y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x y)
(* x (+ y (/ z x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(+ 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)))))))))
(+ 1 (* -3/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2)))
0
(pow y 3)
(* (pow y 3) (+ 1 (* -1/2 (pow y 2))))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2))))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2))))
(+ 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)))
(cos y)
(sin y)
(* y (+ x (/ z y)))
(sqrt (* z (cos y)))
(pow (cos y) 3)
(pow (sin y) 3)
(pow (cos y) 2)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x y) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -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
3.0ms	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))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (* (cos y) z) (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (cos y) (pow (sin y) 3) (pow (cos y) 3) (pow (* 1 (cos y)) 2))
2.0ms	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))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (* (cos y) z) (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (cos y) (pow (sin y) 3) (pow (cos y) 3) (pow (* 1 (cos y)) 2))
2.0ms	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))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (* (cos y) z) (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (cos y) (pow (sin y) 3) (pow (cos y) 3) (pow (* 1 (cos y)) 2))
2.0ms	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))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (* (cos y) z) (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (cos y) (pow (sin y) 3) (pow (cos y) 3) (pow (* 1 (cos y)) 2))
1.0ms	x	@	-inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (* (cos y) z) (/ (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (+ (pow (* 0 (sin y)) 2) (- (pow (* 1 (cos y)) 2) (* (* 0 (sin y)) (* 1 (cos y)))))) (+ (* (pow (sin y) 3) 0) (* 1 (pow (cos y) 3))) (* 0 (sin y)) (* (* 0 (sin y)) (* 1 (cos y))) (cos y) (pow (sin y) 3) (pow (cos y) 3) (pow (* 1 (cos y)) 2))

simplify312.0ms (3.7%)

Memory

14.4MiB live, 249.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	597
1	801	578
2	2874	569
3	6524	569
0	8324	519

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 54

Calls

Call 1

Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
z
(+ z (* x y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x y)
(* x (+ y (/ z x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(+ 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)))))))))
(+ 1 (* -3/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2)))
0
(pow y 3)
(* (pow y 3) (+ 1 (* -1/2 (pow y 2))))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2))))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2))))
(+ 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)))
(cos y)
(sin y)
(* y (+ x (/ z y)))
(sqrt (* z (cos y)))
(pow (cos y) 3)
(pow (sin y) 3)
(pow (cos y) 2)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x y) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -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)
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* x y)
(*.f64 x y)
(* x (+ y (/ z x)))
(*.f64 (+.f64 (/.f64 z x) y) x)
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(*.f64 (+.f64 (/.f64 z x) y) x)
(+ 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 (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))
(* 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 (.f64 #s(literal -1/5040 binary64) x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (fma.f64 (.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (.f64 x y))
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 (pow.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 #s(literal -1/720 binary64) (.f64 y y) #s(literal 1/24 binary64))) (.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))
(sqrt z)
(sqrt.f64 z)
(+ (sqrt z) (* -1/4 (* (pow y 2) (sqrt z))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) #s(literal 1 binary64)) (sqrt.f64 z))
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* 1/2 (* (* (pow y 2) (- (* 1/24 z) (* 1/16 z))) (sqrt (/ 1 z)))))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) z) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (.f64 #s(literal -1/4 binary64) (sqrt.f64 z))) (.f64 y y) (sqrt.f64 z))
(+ (sqrt z) (* (pow y 2) (+ (* -1/4 (sqrt z)) (* (pow y 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (- (* 1/24 z) (* 1/16 z)))) (* 1/2 (* (* (pow y 2) (- (* -1/720 z) (* -1/4 (- (* 1/24 z) (* 1/16 z))))) (sqrt (/ 1 z)))))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 z #s(literal -19/2880 binary64)) y) y (.f64 #s(literal -1/48 binary64) z))) (.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64)) (sqrt.f64 z)))
(+ 1 (* -3/2 (pow y 2)))
(fma.f64 #s(literal -3/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 7/8 (pow y 2)) 3/2)))
(fma.f64 (-.f64 (.f64 #s(literal 7/8 binary64) (.f64 y y)) #s(literal 3/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/8 (* -61/240 (pow y 2)))) 3/2)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -61/240 binary64) (-.f64 (.f64 #s(literal 7/8 binary64) (.f64 y y)) #s(literal 3/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
0
#s(literal 0 binary64)
(pow y 3)
(pow.f64 y #s(literal 3 binary64))
(* (pow y 3) (+ 1 (* -1/2 (pow y 2))))
(.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* 13/120 (pow y 2)) 1/2))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 13/120 binary64) (.f64 y y)) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 13/120 (* -41/3024 (pow y 2)))) 1/2))))
(.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -41/3024 binary64) (-.f64 (.f64 #s(literal 13/120 binary64) (.f64 y y)) #s(literal 1/2 binary64))) (.f64 y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(+ 1 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1)))
(fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 y y)) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -2/45 binary64) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 y y)) #s(literal 1 binary64))) (*.f64 y y) #s(literal 1 binary64))
(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 (cos y) 3)
(pow.f64 (cos.f64 y) #s(literal 3 binary64))
(pow (sin y) 3)
(pow.f64 (sin.f64 y) #s(literal 3 binary64))
(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)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 (*.f64 z x) (/.f64 y z) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(.f64 (neg.f64 z) (-.f64 (.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(*.f64 (cos.f64 y) z)
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* (sqrt (* z (cos y))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 (cos.f64 y) z))

rewrite320.0ms (3.8%)

Memory

9.8MiB live, 540.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	158
0	64	95
1	299	95
2	1797	95
0	8366	94

Stop Event

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

Counts

20 → 2 064

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

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

eval547.0ms (6.6%)

Memory: -9.9MiB live, 1 160.0MiB allocated
Compiler: Compiled 119 940 to 12 482 computations (89.6% saved)

prune79.0ms (0.9%)

Memory

59.4MiB live, 277.6MiB allocated

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	2 804	16	2 820
Fresh	7	5	12
Picked	2	3	5
Done	0	0	0
Total	2 813	24	2 837

Accuracy

100.0%

Counts

2 837 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.8%	(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z (*.f64 (sin.f64 y) x))
	30.0%	(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)))))
	99.7%	(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) z (*.f64 (sin.f64 y) x))
	99.7%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) z (.f64 (sin.f64 y) x))
	99.7%	(fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) z (.f64 (sin.f64 y) x))
	38.0%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
	40.8%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
▶	58.0%	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
✓	46.2%	(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 (sin.f64 y) x (*.f64 (cos.f64 y) z))
	76.9%	(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	76.9%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
	91.0%	#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))
	59.6%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z))
▶	52.1%	#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))
	52.2%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
▶	87.6%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
	23.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y)))
✓	53.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	43.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
	40.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
	51.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 (neg.f64 z) (-.f64 (.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))))
▶	19.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

Compiler

Compiled 861 to 576 computations (33.1% saved)

simplify201.0ms (2.4%)

Memory

-39.0MiB live, 138.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	204
0	56	192
1	99	192
2	214	192
3	542	192
4	1328	192
5	3241	190
6	5390	190
0	8121	188

Stop Event

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

Calls

Call 1

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

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

localize172.0ms (2.1%)

Memory

-14.6MiB live, 125.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(*.f64 (cos.f64 y) z)
accuracy	0.0703125	(*.f64 (sin.f64 y) x)
accuracy	0.109375	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
accuracy	3.040258830143957	(sqrt.f64 (*.f64 (sin.f64 y) x))
accuracy	0.0	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
accuracy	0.0625	(/.f64 (cos.f64 y) x)
accuracy	0.09765625	(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
accuracy	3.3700852134092787	(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
accuracy	0.02734375	(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) z)) y x)
accuracy	0.03125	(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	0.0859375	(fma.f64 #s(literal -1/6 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) z))
accuracy	17.49162831636466	#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	14.224411187759722	#s(approx (+ (* y x) z) (*.f64 x y))
accuracy	16.937461913309683	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
accuracy	0.0	(sin.f64 y)
accuracy	0.0	(cos.f64 y)
accuracy	0.03515625	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
accuracy	0.06640625	(*.f64 (cos.f64 y) z)

Samples

75.0ms	124×	0	invalid
36.0ms	132×	0	valid

Compiler

Compiled 176 to 33 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 63.0ms (68.6% of total)

ival-add: 10.0ms (10.9% of total)

ival-sin: 6.0ms (6.5% of total)

ival-cos: 5.0ms (5.4% of total)

const: 4.0ms (4.4% of total)

ival-div: 2.0ms (2.2% of total)

ival-sqrt: 2.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.5%)

Memory

-1.0MiB live, 44.9MiB allocated

Counts

18 → 99

Calls

Call 1

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

Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
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)))
(/ (* z (cos y)) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/ (cos y) x)
(sqrt (* x (sin y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* 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)))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2)))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
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 (* (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)))
x
(+ x (* -1/2 (* y z)))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(/ z x)
(+ y (/ z x))
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))
(/ 1 x)
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(sqrt (* x y))
(+ (sqrt (* x y)) (* -1/12 (sqrt (* x (pow y 5)))))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* 1/240 (sqrt (* x (pow y 3)))))))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ x y))) (* 1/240 (sqrt (/ x y))))))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(cos y)
(* y (+ x (/ z y)))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* y (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))

Calls

9 calls:

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

simplify343.0ms (4.1%)

Memory

35.8MiB live, 263.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	326	1197
1	1205	1142
2	4649	1131
0	8227	1028

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 96

Calls

Call 1

Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
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)))
(/ (* z (cos y)) x)
(/ (+ (* x (sin y)) (* z (cos y))) x)
(/ (cos y) x)
(sqrt (* x (sin y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* 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)))
(sin y)
(+ (sin y) (/ (* z (cos y)) x))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
(* -1 (* x (* (sin y) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (* z (cos y)) x)) (* (sin y) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (sin y))) (pow (sqrt -1) 2)))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
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 (* (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)))
x
(+ x (* -1/2 (* y z)))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(/ z x)
(+ y (/ z x))
(+ (* y (+ 1 (* -1/2 (/ (* y z) x)))) (/ z x))
(+ (* y (+ 1 (* y (+ (* -1/2 (/ z x)) (* -1/6 y))))) (/ z x))
(/ 1 x)
(+ (* -1/2 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) x)) (* 1/2 (/ 1 x)))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) x)) (* 1/24 (/ 1 x)))) (* 1/2 (/ 1 x)))) (/ 1 x))
(sqrt (* x y))
(+ (sqrt (* x y)) (* -1/12 (sqrt (* x (pow y 5)))))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* 1/240 (sqrt (* x (pow y 3)))))))
(+ (sqrt (* x y)) (* (pow y 3) (+ (* -1/12 (sqrt (/ x y))) (* (pow y 2) (+ (* -1/288 (sqrt (/ x y))) (* 1/240 (sqrt (/ x y))))))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(cos y)
(* y (+ x (/ z y)))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* y (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (* -1/2 (pow y 2))))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(* z (+ (/ (cos y) x) (/ (sin y) z)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))

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

rewrite300.0ms (3.6%)

Memory

-1.2MiB live, 300.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	170
0	56	160
1	205	160
2	1351	160
0	8366	158

Stop Event

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

Counts

18 → 578

Calls

Call 1

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

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

eval120.0ms (1.4%)

Memory: -18.5MiB live, 210.1MiB allocated
Compiler: Compiled 24 608 to 2 320 computations (90.6% saved)

prune39.0ms (0.5%)

Memory

17.2MiB live, 108.8MiB allocated

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	677	18	695
Fresh	5	11	16
Picked	2	3	5
Done	0	3	3
Total	684	35	719

Accuracy

100.0%

Counts

719 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.6%	(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x (*.f64 (cos.f64 y) z))
▶	76.8%	(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z (*.f64 (sin.f64 y) x))
▶	99.7%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) z (.f64 (sin.f64 y) x))
	38.0%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
	40.8%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
	46.2%	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
✓	46.2%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
	49.8%	(fma.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 z (cos.f64 y)))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	76.9%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
	42.3%	#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x))
	91.0%	#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))
▶	59.6%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z))
	52.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
▶	52.5%	#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))
	87.6%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (.f64 (/.f64 (cos.f64 y) x) z) x (.f64 x (sin.f64 y))))
	46.7%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x)) y z))
	35.7%	#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))
	35.4%	#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))
	61.9%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))
	48.8%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) x) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))))
✓	87.6%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
	46.4%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 z x))) x))
	47.6%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x))
	31.9%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (/.f64 z x)) x))
	47.0%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (+.f64 y (/.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z) x))) x))
▶	35.4%	#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z)))
	19.5%	#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (neg.f64 y) x) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1 binary64)))))
	23.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y)))
✓	53.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	43.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
	40.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
	51.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 (neg.f64 z) (-.f64 (.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)))))
✓	19.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

Compiler

Compiled 1 534 to 1 020 computations (33.5% saved)

simplify240.0ms (2.9%)

Memory

-23.6MiB live, 265.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 y)
cost-diff	0	(sqrt.f64 (cos.f64 y))
cost-diff	0	(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z (*.f64 (sin.f64 y) x))
cost-diff	3	(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z))
cost-diff	0	#s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 x y)))
cost-diff	0	(fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 x y))) y x)
cost-diff	0	(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)
cost-diff	0	#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))
cost-diff	0	(.f64 (.f64 y y) z)
cost-diff	0	(fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z))
cost-diff	0	#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) z (.f64 (sin.f64 y) x))
cost-diff	7	(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	283
0	70	270
1	129	267
2	328	253
3	1014	253
4	3720	253
0	8221	243

Stop Event

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

Calls

Call 1

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

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

localize155.0ms (1.9%)

Memory

25.4MiB live, 271.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z (*.f64 (sin.f64 y) x))
accuracy	0.03125	(sqrt.f64 (cos.f64 y))
accuracy	0.046875	(*.f64 (sin.f64 y) x)
accuracy	0.08431625976844201	(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
accuracy	0.0	(cos.f64 y)
accuracy	0.02734375	(*.f64 (cos.f64 y) z)
accuracy	10.88531828850295	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z))
accuracy	0.015625	(fma.f64 #s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 x y))) y x)
accuracy	0.125	(.f64 #s(literal -1/6 binary64) (.f64 x y))
accuracy	8.098482592754005	#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))
accuracy	10.42951108486921	#s(approx (+ (* -1/6 (* x y)) (* -1/2 z)) (.f64 #s(literal -1/6 binary64) (.f64 x y)))
accuracy	0.0	(*.f64 y y)
accuracy	1.790309538754514	(.f64 (.f64 y y) z)
accuracy	8.098482592754005	#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z)))
accuracy	10.686839427570808	#s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z))
accuracy	0.03125	(pow.f64 (cos.f64 y) #s(literal -1 binary64))
accuracy	0.046875	(*.f64 (sin.f64 y) x)
accuracy	0.0546875	(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64)))
accuracy	0.06640625	(pow.f64 (cos.f64 y) #s(literal 2 binary64))

Samples

77.0ms	164×	0	invalid
56.0ms	92×	0	valid

Compiler

Compiled 210 to 38 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-add: 39.0ms (34.9% of total)

ival-mult: 20.0ms (17.9% of total)

ival-cos: 17.0ms (15.2% of total)

ival-pow: 16.0ms (14.3% of total)

ival-sin: 6.0ms (5.4% of total)

ival-pow2: 5.0ms (4.5% of total)

ival-sqrt: 4.0ms (3.6% of total)

const: 4.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory

-38.2MiB live, 107.5MiB allocated

Counts

21 → 84

Calls

Call 1

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

Outputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos 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)))
(* x (sin y))
(* -1/6 (* x y))
(* x (+ (sin y) (/ (* z (cos y)) 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)))))
(* x (+ (* -1/2 (/ z x)) (* -1/6 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ 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)))
(* (pow y 2) z)
x
(+ x (* -1/2 (* y z)))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(+ 1 (* -1/4 (pow y 2)))
(+ 1 (* (pow y 2) (- (* -1/96 (pow y 2)) 1/4)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -19/5760 (pow y 2)) 1/96)) 1/4)))
(* 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) (+ 1/2 (* 5/24 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))
(pow y 2)
(cos y)
(pow (cos y) 2)
(* -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))))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* -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)))
(sqrt (cos y))
(/ 1 (cos y))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(* 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 (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2)))))

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	z	@	0	((* (pow (cos y) 2) (pow (cos y) -1)) (+ (* (* (pow (cos y) 2) (pow (cos y) -1)) z) (* (sin y) x)) (pow (cos y) 2) (cos y) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (* (* y y) z) -1/2) z) (* (* y y) z) (+ (* (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)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (cos y) z) (pow (sqrt (cos y)) 2) (+ (* (pow (sqrt (cos y)) 2) z) (* (sin y) x)) (sqrt (cos y)) (* (sin y) x) (pow (cos y) -1) (* y y) (* -1/6 (* x y)))
5.0ms	x	@	inf	((* (pow (cos y) 2) (pow (cos y) -1)) (+ (* (* (pow (cos y) 2) (pow (cos y) -1)) z) (* (sin y) x)) (pow (cos y) 2) (cos y) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (* (* y y) z) -1/2) z) (* (* y y) z) (+ (* (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)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (cos y) z) (pow (sqrt (cos y)) 2) (+ (* (pow (sqrt (cos y)) 2) z) (* (sin y) x)) (sqrt (cos y)) (* (sin y) x) (pow (cos y) -1) (* y y) (* -1/6 (* x y)))
3.0ms	z	@	-inf	((* (pow (cos y) 2) (pow (cos y) -1)) (+ (* (* (pow (cos y) 2) (pow (cos y) -1)) z) (* (sin y) x)) (pow (cos y) 2) (cos y) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (* (* y y) z) -1/2) z) (* (* y y) z) (+ (* (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)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (cos y) z) (pow (sqrt (cos y)) 2) (+ (* (pow (sqrt (cos y)) 2) z) (* (sin y) x)) (sqrt (cos y)) (* (sin y) x) (pow (cos y) -1) (* y y) (* -1/6 (* x y)))
3.0ms	y	@	inf	((* (pow (cos y) 2) (pow (cos y) -1)) (+ (* (* (pow (cos y) 2) (pow (cos y) -1)) z) (* (sin y) x)) (pow (cos y) 2) (cos y) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (* (* y y) z) -1/2) z) (* (* y y) z) (+ (* (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)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (cos y) z) (pow (sqrt (cos y)) 2) (+ (* (pow (sqrt (cos y)) 2) z) (* (sin y) x)) (sqrt (cos y)) (* (sin y) x) (pow (cos y) -1) (* y y) (* -1/6 (* x y)))
2.0ms	y	@	-inf	((* (pow (cos y) 2) (pow (cos y) -1)) (+ (* (* (pow (cos y) 2) (pow (cos y) -1)) z) (* (sin y) x)) (pow (cos y) 2) (cos y) (+ (* (cos y) z) (* (sin y) x)) (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (+ (* (* (* y y) z) -1/2) z) (* (* y y) z) (+ (* (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)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (* (cos y) z) (pow (sqrt (cos y)) 2) (+ (* (pow (sqrt (cos y)) 2) z) (* (sin y) x)) (sqrt (cos y)) (* (sin y) x) (pow (cos y) -1) (* y y) (* -1/6 (* x y)))

simplify371.0ms (4.4%)

Memory

15.8MiB live, 339.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	287	1023
1	1030	983
2	3976	970
0	8908	876

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

Inputs
(* z (cos y))
(+ (* x (sin y)) (* z (cos 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)))
(* x (sin y))
(* -1/6 (* x y))
(* x (+ (sin y) (/ (* z (cos y)) 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)))))
(* x (+ (* -1/2 (/ z x)) (* -1/6 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))
(* -1 (* x (+ (* 1/6 y) (* 1/2 (/ z x)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ 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)))
(* (pow y 2) z)
x
(+ x (* -1/2 (* y z)))
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(+ 1 (* -1/4 (pow y 2)))
(+ 1 (* (pow y 2) (- (* -1/96 (pow y 2)) 1/4)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -19/5760 (pow y 2)) 1/96)) 1/4)))
(* 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) (+ 1/2 (* 5/24 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))
(pow y 2)
(cos y)
(pow (cos y) 2)
(* -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))))))
(* -1/2 (* (pow y 2) z))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(* -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)))
(sqrt (cos y))
(/ 1 (cos y))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))
(* -1 (* y (+ (* 1/6 x) (* 1/2 (/ z y)))))
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(* 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 (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(* -1 (* z (* (cos y) (pow (sqrt -1) 2))))
(* -1 (* z (+ (* -1 (/ (* x (sin y)) z)) (* (cos y) (pow (sqrt -1) 2)))))

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))
(+ z (* -1/2 (* (pow y 2) z)))
(fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z)
(+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (.f64 (.f64 x y) #s(literal -1/6 binary64))) y x) y z)
(* -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 -1/2 binary64) z (.f64 (.f64 x y) #s(literal -1/6 binary64))) y x)
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(+ (* -1/2 z) (* -1/6 (* x y)))
(fma.f64 #s(literal -1/2 binary64) z (.f64 (.f64 x y) #s(literal -1/6 binary64)))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1/6 (* x y))
(.f64 (.f64 x y) #s(literal -1/6 binary64))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 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 (.f64 y y) #s(literal -1/6 binary64) #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 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) x)
(* 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 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 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 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal -1 binary64)) z) 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)
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))
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 -1/2 binary64) z (.f64 (.f64 x y) #s(literal -1/6 binary64))) y x) 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))
(* (pow y 2) z)
(.f64 (.f64 y y) z)
x
(+ x (* -1/2 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x)
(+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (.f64 (.f64 x y) #s(literal -1/6 binary64))) y x)
(+ 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)
(+ 1 (* -1/4 (pow y 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* -1/96 (pow y 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal -1/96 binary64) (.f64 y y)) #s(literal 1/4 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (- (* -19/5760 (pow y 2)) 1/96)) 1/4)))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -19/5760 binary64) (.f64 y y)) #s(literal 1/96 binary64)) y) y) #s(literal 1/4 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(* 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))
(+ 1 (* 1/2 (pow y 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* 5/24 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 5/24 binary64) (.f64 y y) #s(literal 1/2 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/2 (* (pow y 2) (+ 5/24 (* 61/720 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/720 binary64) (.f64 y y) #s(literal 5/24 binary64)) (.f64 y y) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(cos y)
(cos.f64 y)
(pow (cos y) 2)
(pow.f64 (cos.f64 y) #s(literal 2 binary64))
(* -1/6 (* x (pow y 3)))
(.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)
(* (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)))
(* -1/2 (* (pow y 2) z))
(.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64))
(* (pow y 2) (+ (* -1/2 z) (/ z (pow y 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (/.f64 z y) y)) y) y)
(* -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)
(sqrt (cos y))
(sqrt.f64 (cos.f64 y))
(/ 1 (cos y))
(/.f64 #s(literal 1 binary64) (cos.f64 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 (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)))
(* -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)
(+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (.f64 (.f64 x y) #s(literal -1/6 binary64))) y x) y z)
(* z (+ 1 (* -1/2 (pow y 2))))
(fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z)
(+ x (* -1/6 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (.f64 (.f64 x y) #s(literal -1/6 binary64))) y x)
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) 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 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z)) z)
(* z (- (* -1/6 (/ (* x y) z)) 1/2))
(.f64 (-.f64 (.f64 (*.f64 y (/.f64 x z)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) z)
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
(* -1 (* z (- (* 1/2 (pow y 2)) 1)))
(.f64 (neg.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))
(.f64 (neg.f64 z) (-.f64 (/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) (neg.f64 z)) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* -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 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z)) z)
(* -1 (* z (+ 1/2 (* 1/6 (/ (* x y) z)))))
(.f64 (fma.f64 (.f64 y (/.f64 x z)) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) 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)

rewrite376.0ms (4.5%)

Memory

39.9MiB live, 272.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	250
0	70	227
1	254	220
2	1763	220
0	9169	210

Stop Event

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

Counts

21 → 1 019

Calls

Call 1

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

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

eval216.0ms (2.6%)

Memory: 11.8MiB live, 153.7MiB allocated
Compiler: Compiled 21 329 to 2 318 computations (89.1% saved)

prune94.0ms (1.1%)

Memory

-30.7MiB live, 103.3MiB allocated

Pruning

38 alts after pruning (30 fresh and 8 done)

	Pruned	Kept	Total
New	666	12	678
Fresh	6	18	24
Picked	2	3	5
Done	1	5	6
Total	675	38	713

Accuracy

100.0%

Counts

713 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.6%	(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x (*.f64 (cos.f64 y) z))
✓	76.8%	(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z (*.f64 (sin.f64 y) x))
	59.5%	(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z #s(approx (* (sin y) x) (*.f64 x y)))
	38.0%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
	46.2%	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
	49.8%	(fma.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 z (cos.f64 y)))
✓	99.8%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
✓	99.8%	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	76.9%	(fma.f64 #s(approx (* (pow (cos y) 2) (pow (cos y) -1)) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
	52.2%	#s(approx (+ (* (* (pow (cos y) 2) (pow (cos y) -1)) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
	91.0%	#s(approx (+ (* (* (pow (cos y) 2) (pow (cos y) -1)) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
	42.3%	#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x))
	23.2%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
	59.3%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (/.f64 (.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) (.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 2 binary64) (cos.f64 y))))
	59.5%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 z (pow.f64 (cos.f64 y) #s(literal -1 binary64)))))
	19.1%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (.f64 (sqrt.f64 (.f64 (*.f64 z (cos.f64 y)) (cos.f64 y))) (sqrt.f64 z)))
✓	59.6%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z))
	35.3%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (cos y) 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)))
	35.9%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
✓	52.5%	#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))
	87.6%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (.f64 (/.f64 (cos.f64 y) x) z) x (.f64 x (sin.f64 y))))
	46.7%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x)) y z))
	35.7%	#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))
	35.4%	#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))
	61.9%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))
	48.8%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) x) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))))
✓	87.6%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
	47.6%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x))
	31.9%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (/.f64 z x)) x))
	47.0%	#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (+.f64 y (/.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z) x))) x))
	19.5%	#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (neg.f64 y) x) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1 binary64)))))
	14.6%	#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) #s(approx (+ (* (* (* y y) z) -1/2) z) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (/.f64 z y) y)) y) y))))
	2.8%	#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) #s(approx (+ (* (* (* y y) z) -1/2) z) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))))
	23.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y)))
✓	53.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	43.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
	40.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
✓	19.5%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

Compiler

Compiled 2 597 to 958 computations (63.1% saved)

regimes78.0ms (0.9%)

Memory

9.2MiB live, 200.9MiB allocated

Counts

64 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) #s(approx (+ (* (* (* y y) z) -1/2) z) (.f64 (.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))))
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z)))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (/.f64 z x)) x))
#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 (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z))
#s(approx (+ (* (* (pow (cos y) 2) (pow (cos y) -1)) z) (* (sin y) x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y)))
#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 (+ (* 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 (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 (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) (.f64 (.f64 (neg.f64 y) x) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 y y)) #s(literal 1 binary64)))))
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (cos y) z) (fma.f64 (.f64 z (fma.f64 #s(literal 1/24 binary64) (.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 (neg.f64 z) (-.f64 (.f64 (/.f64 (neg.f64 y) z) x) #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))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y)))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (+.f64 y (/.f64 (fma.f64 (.f64 (.f64 y y) z) #s(literal -1/2 binary64) z) x))) x))
#s(approx (+ (* (cos y) z) (* (sin y) x)) #s(approx (+ (* (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) y) z) #s(approx (+ (* (* (* y y) z) -1/2) z) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) z (/.f64 (/.f64 z y) y)) y) y))))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 #s(approx (+ (* (+ (* -1/6 (* x y)) (* -1/2 z)) y) x) (.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x)) y z))
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (cos y) 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)))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 z x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (/.f64 z x))) 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 (cos.f64 y) z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x))
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
(fma.f64 #s(approx (* (pow (cos y) 2) (pow (cos y) -1)) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (/.f64 (*.f64 (cos.f64 y) z) x)) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64)))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
#s(approx (+ (* (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 (+ (* (* (pow (cos y) 2) (pow (cos y) -1)) z) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z #s(approx (* (sin y) x) (*.f64 x y)))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (fma.f64 (.f64 (/.f64 (cos.f64 y) x) z) x (.f64 x (sin.f64 y))))
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (.f64 (sqrt.f64 (.f64 (*.f64 z (cos.f64 y)) (cos.f64 y))) (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z))
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) z (*.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)) x (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 z (cos.f64 y)))
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (/.f64 (.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) (.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 2 binary64) (cos.f64 y))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
(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))
(fma.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (*.f64 (sin.f64 y) x))
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 z (pow.f64 (cos.f64 y) #s(literal -1 binary64)))))
(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal -1 binary64))) z (.f64 (sin.f64 y) x))
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 9 binary64)) (pow.f64 (cos.f64 y) #s(literal 8 binary64))) z (*.f64 (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))))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (/.f64 (cos.f64 y) x) z) (sin.f64 y))))
(fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) z (.f64 (sin.f64 y) x))
#s(approx (+ (* (cos y) z) (* (sin y) x)) (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (cos.f64 y) x) z) #s(literal 3 binary64))) x) (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) (.f64 (/.f64 (cos.f64 y) x) z)) (pow.f64 (.f64 (/.f64 (cos.f64 y) x) z) #s(literal 2 binary64)))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) (.f64 #s(literal 1 binary64) (cos.f64 y))))))))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3/2 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)))) (/.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:

21.0ms	y
19.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
18.0ms	x
15.0ms	z

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)

regimes40.0ms (0.5%)

Memory

5.1MiB live, 105.3MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

11.0ms	y
10.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
9.0ms	z
9.0ms	x

Results

Accuracy	Segments	Branch
81.1%	2	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
87.8%	3	`x`
81.5%	3	`y`
88.0%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes57.0ms (0.7%)

Memory

25.9MiB live, 118.9MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

30.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
9.0ms	z
8.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
80.6%	5	`y`
68.2%	5	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
75.6%	3	`x`
78.1%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes92.0ms (1.1%)

Memory

-57.3MiB live, 55.0MiB allocated

Counts

27 → 3

Calls

Call 1

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

2 calls:

67.0ms	z
24.0ms	y

Results

Accuracy	Segments	Branch
76.3%	3	`y`
69.9%	3	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes33.0ms (0.4%)

Memory

2.5MiB live, 95.5MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
9.0ms	x
7.0ms	y
7.0ms	z

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
19.5%	1	`x`
19.5%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
19.5%	1	`z`
19.5%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch33.0ms (0.4%)

Memory

17.7MiB live, 70.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.8957580264738096e+78	1.38690276623747e+80
16.0ms	-1.1799808147584453e+104	-5.3799217620454456e+101

Samples

22.0ms

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 (35% of total)

ival-cos: 4.0ms (28% of total)

ival-mult: 3.0ms (21% of total)

ival-add: 1.0ms (7% of total)

ival-assert: 1.0ms (7% of total)

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

bsearch30.0ms (0.4%)

Memory

-10.4MiB live, 36.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.322089514151449e-35	1.4634830038487587e-35
26.0ms	-9.429096992894582e-132	-5.935248392756256e-134

Samples

23.0ms

128×

valid

Compiler

Compiled 292 to 222 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-add: 11.0ms (57.9% of total)

ival-cos: 3.0ms (15.8% of total)

ival-sin: 3.0ms (15.8% of total)

ival-mult: 2.0ms (10.5% of total)

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

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

bsearch56.0ms (0.7%)

Memory

-23.1MiB live, 68.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.516974387022452e-12	8.188144720392599e-10
39.0ms	-0.0036986594462887446	-8.654663872837167e-7

Samples

41.0ms

240×

valid

Compiler

Compiled 582 to 449 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 3.0ms (30.6% of total)

ival-sin: 3.0ms (30.6% of total)

ival-cos: 2.0ms (20.4% of total)

ival-add: 1.0ms (10.2% of total)

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

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

simplify54.0ms (0.6%)

Memory

19.9MiB live, 68.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	158
1	93	158
2	144	158
3	246	158
4	454	158
5	996	158
6	2500	158
7	6900	158

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -860000000000000017561824138844987662117953350146332012806007848070593176910277590707766989194103095296 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 47999999999999997116684714174693658545207391266039499597488225662574524786278400 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 z #s(literal -7352342185704225/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 315684353663475/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ ( (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (.f64 (sin.f64 y) x)) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -8416326983629983/2305843009213693952 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 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))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

Outputs
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -860000000000000017561824138844987662117953350146332012806007848070593176910277590707766989194103095296 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 47999999999999997116684714174693658545207391266039499597488225662574524786278400 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (or (<=.f64 z #s(literal -860000000000000017561824138844987662117953350146332012806007848070593176910277590707766989194103095296 binary64)) (not (<=.f64 z #s(literal 47999999999999997116684714174693658545207391266039499597488225662574524786278400 binary64)))) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (.f64 (cos.f64 y) z)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 (sin.f64 y) x)))
(if (<=.f64 z #s(literal -7352342185704225/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 315684353663475/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (+ ( (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (.f64 (sin.f64 y) x)) #s(approx (+ ( x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (or (<=.f64 z #s(literal -7352342185704225/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (not (<=.f64 z #s(literal 315684353663475/23384026197294446691258957323460528314494920687616 binary64)))) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (.f64 (cos.f64 y) z)) #s(approx (+ ( (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (*.f64 (sin.f64 y) x)))
(if (<=.f64 y #s(literal -8416326983629983/2305843009213693952 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 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 -8416326983629983/2305843009213693952 binary64)) (not (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 binary64)))) #s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (.f64 (cos.f64 y) z)) #s(approx (+ ( (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) (fma.f64 y x z))
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))
#s(approx (+ (* (sqrt (* (sin y) x)) (sqrt (* (sin y) x))) (* (cos y) z)) #s(approx (+ (* y x) z) (*.f64 x y)))

soundness811.0ms (9.7%)

Memory

13.5MiB live, 763.6MiB allocated

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
0	8	21
0	13	21
1	39	21
2	251	21
3	2629	21
0	8333	20
0	224	597
1	801	578
2	2874	569
3	6524	569
0	8324	519
0	326	1197
1	1205	1142
2	4649	1131
0	8227	1028

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×	iter limit
1×	node limit

Compiler

Compiled 356 to 141 computations (60.4% saved)

preprocess45.0ms (0.5%)

Memory: 1.2MiB live, 93.0MiB allocated
Compiler: Compiled 432 to 128 computations (70.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (17.7%)

explain140.0ms (1.7%)

preprocess185.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify155.0ms (1.9%)

localize68.0ms (0.8%)

series9.0ms (0.1%)

simplify213.0ms (2.5%)

rewrite383.0ms (4.6%)

eval66.0ms (0.8%)

prune62.0ms (0.7%)

simplify126.0ms (1.5%)

localize159.0ms (1.9%)

series17.0ms (0.2%)

simplify312.0ms (3.7%)

rewrite320.0ms (3.8%)

eval547.0ms (6.6%)

prune79.0ms (0.9%)

simplify201.0ms (2.4%)

localize172.0ms (2.1%)

series46.0ms (0.5%)

simplify343.0ms (4.1%)

rewrite300.0ms (3.6%)

eval120.0ms (1.4%)

prune39.0ms (0.5%)

simplify240.0ms (2.9%)

localize155.0ms (1.9%)

series31.0ms (0.4%)

simplify371.0ms (4.4%)

rewrite376.0ms (4.5%)

eval216.0ms (2.6%)

prune94.0ms (1.1%)

regimes78.0ms (0.9%)

regimes40.0ms (0.5%)

regimes57.0ms (0.7%)

regimes92.0ms (1.1%)

regimes33.0ms (0.4%)

regimes5.0ms (0.1%)

bsearch33.0ms (0.4%)

bsearch30.0ms (0.4%)

bsearch56.0ms (0.7%)

simplify54.0ms (0.6%)

soundness811.0ms (9.7%)

preprocess45.0ms (0.5%)

end0.0ms (0%)

Profiling