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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (15.2%)

Memory

21.1MiB live, 1 492.3MiB allocated

Samples

904.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 562.0ms

ival-sin: 205.0ms (36.5% of total)

ival-cos: 164.0ms (29.2% of total)

ival-mult: 144.0ms (25.6% of total)

ival-add: 39.0ms (6.9% of total)

ival-true: 7.0ms (1.2% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain106.0ms (1.3%)

Memory

-8.1MiB live, 187.8MiB 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

50.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-cos: 10.0ms (30.2% of total)

ival-sin: 10.0ms (30.2% of total)

ival-mult: 7.0ms (21.1% of total)

ival-add: 6.0ms (18.1% of total)

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

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

preprocess225.0ms (2.9%)

Memory

23.4MiB live, 262.8MiB 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: 0.2MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

simplify184.0ms (2.3%)

Memory

24.3MiB live, 185.4MiB 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)

localize89.0ms (1.1%)

Memory

-30.4MiB live, 128.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 y)
accuracy	0.0078125	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
accuracy	0.09375	(*.f64 z (cos.f64 y))
accuracy	0.09765625	(*.f64 x (sin.f64 y))

Samples

75.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-sin: 6.0ms (37.3% of total)

ival-cos: 5.0ms (31% of total)

ival-mult: 4.0ms (24.8% of total)

ival-add: 1.0ms (6.2% of total)

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

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

series9.0ms (0.1%)

Memory

27.5MiB live, 27.5MiB 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))

simplify197.0ms (2.5%)

Memory

34.6MiB live, 256.8MiB 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))

rewrite349.0ms (4.4%)

Memory

-50.1MiB live, 297.7MiB 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)))

eval63.0ms (0.8%)

Memory: 32.9MiB live, 77.7MiB allocated
Compiler: Compiled 7 595 to 796 computations (89.5% saved)

prune22.0ms (0.3%)

Memory

-5.6MiB live, 47.0MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	274	19	293
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	275	19	294

Accuracy

99.9%

Counts

294 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.9%	(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)))))
	41.0%	(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)))))
	30.5%	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.f64 (cos.f64 y) z) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (cos.f64 y) z (.f64 (neg.f64 x) (sin.f64 y))) (.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))))
	41.6%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
	34.8%	(fma.f64 (sqrt.f64 (.f64 (.f64 (sin.f64 y) x) x)) (sqrt.f64 (sin.f64 y)) (*.f64 (cos.f64 y) z))
	31.9%	(fma.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
	55.6%	(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
▶	45.5%	(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))
	21.2%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (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))))
	20.9%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (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)))))
▶	62.8%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
	80.3%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))
▶	79.9%	(+.f64 (.f64 x (sin.f64 y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	57.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
	57.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
▶	57.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	58.6%	#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))

Compiler

Compiled 904 to 502 computations (44.5% saved)

simplify141.0ms (1.8%)

Memory

10.6MiB live, 242.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))
cost-diff	15	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 (cos.f64 y) z)
cost-diff	0	(sqrt.f64 (*.f64 (cos.f64 y) z))
cost-diff	7	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
cost-diff	0	(*.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	(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	30	186
0	51	163
1	100	163
2	221	163
3	664	163
4	1986	163
5	5682	163
0	8307	162

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (1.8%)

Memory

-16.0MiB live, 272.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.06869125976844201	(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))
accuracy	0.10613251953688403	(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))
accuracy	1.2968708716604118	(-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64)))
accuracy	10.807677428172916	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
accuracy	0.03125	(sqrt.f64 (*.f64 (cos.f64 y) z))
accuracy	0.0390625	(*.f64 (cos.f64 y) z)
accuracy	0.046875	(*.f64 (sin.f64 y) x)
accuracy	0.125	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (*.f64 (sin.f64 y) x))
accuracy	0.0	(sin.f64 y)
accuracy	0.0390625	(*.f64 z #s(approx (cos y) #s(literal 1 binary64)))
accuracy	0.046875	(*.f64 x (sin.f64 y))
accuracy	12.288957213253976	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 y x z)
accuracy	12.97571929585669	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
accuracy	0.0	(sin.f64 y)
accuracy	0.0	(cos.f64 y)
accuracy	0.0234375	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
accuracy	0.0390625	(*.f64 (cos.f64 y) z)

Samples

76.0ms	139×	0	invalid
42.0ms	117×	0	valid

Compiler

Compiled 182 to 27 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 30.0ms (51.1% of total)

ival-add: 7.0ms (11.9% of total)

ival-sin: 6.0ms (10.2% of total)

ival-cos: 5.0ms (8.5% of total)

ival-pow2: 5.0ms (8.5% of total)

ival-div: 2.0ms (3.4% of total)

ival-sqrt: 2.0ms (3.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series69.0ms (0.9%)

Memory

-13.0MiB live, 80.5MiB allocated

Counts

17 → 63

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	y	@	0	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (cos y) (* (sin y) x) (pow (* (sin y) x) 2))
15.0ms	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 (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)) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (cos y) (* (sin y) x) (pow (* (sin y) x) 2))
5.0ms	y	@	-inf	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (cos y) (* (sin y) x) (pow (* (sin y) x) 2))
4.0ms	x	@	0	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (cos y) (* (sin y) x) (pow (* (sin y) x) 2))
4.0ms	y	@	inf	((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (* z (cos y)) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (sqrt (* (cos y) z)) (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (pow (* (cos y) z) 2) (cos y) (* (sin y) x) (pow (* (sin y) x) 2))

simplify190.0ms (2.4%)

Memory

12.4MiB live, 247.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	932
1	989	895
2	3830	875
0	8488	804

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 61

Calls

Call 1

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

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

rewrite304.0ms (3.8%)

Memory

-1.1MiB live, 429.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	131
0	51	108
1	212	108
2	1300	105
0	9107	104

Stop Event

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

Counts

17 → 1 782

Calls

Call 1

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

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

eval215.0ms (2.7%)

Memory: 17.5MiB live, 384.2MiB allocated
Compiler: Compiled 51 047 to 3 543 computations (93.1% saved)

prune64.0ms (0.8%)

Memory

25.0MiB live, 126.7MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1 388	21	1 409
Fresh	11	3	14
Picked	3	2	5
Done	0	0	0
Total	1 402	26	1 428

Accuracy

100.0%

Counts

1 428 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.6%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
▶	31.9%	(fma.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
	45.5%	(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))
	43.1%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64))))
✓	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))
	79.9%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
	52.5%	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (neg.f64 z)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (neg.f64 (neg.f64 z)) #s(approx (cos y) #s(literal 1 binary64))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (neg.f64 (neg.f64 z)) #s(approx (cos y) #s(literal 1 binary64)))))
	23.8%	(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
	34.7%	(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
	46.3%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) #s(literal 2 binary64)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
▶	57.8%	(+.f64 #s(approx (* x (sin y)) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x) y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	40.0%	(.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (.f64 (neg.f64 x) (sin.f64 y)) (fma.f64 (cos.f64 y) z (.f64 x (sin.f64 y))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))))
	32.6%	#s(approx (/ (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (+ (* (cos y) z) (* (neg x) (sin y)))) (fma.f64 (fma.f64 (-.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) z))) y x) y z))
	93.4%	#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))
	58.6%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z))
	57.3%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x y) (.f64 #s(literal -1/2 binary64) z)) y x) y z))
	57.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
▶	89.4%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
	12.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (*.f64 x y)))
	25.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y)))
✓	57.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	50.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
	55.4%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 (-.f64 (.f64 (/.f64 (neg.f64 y) z) x) #s(literal 1 binary64)) (neg.f64 z))))
	51.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z x) y) x)))
▶	21.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

Compiler

Compiled 1 110 to 729 computations (34.3% saved)

simplify194.0ms (2.4%)

Memory

-28.9MiB live, 214.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 z) (cos.f64 y))
cost-diff	0	(.f64 (.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))
cost-diff	0	(sqrt.f64 (.f64 (.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y)))
cost-diff	0	(fma.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
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 (+ (* (sin y) x) (* (cos y) z)) (*.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 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
cost-diff	0	#s(approx (* x (sin y)) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))
cost-diff	1	(+.f64 #s(approx (* x (sin y)) (.f64 (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x) y)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
cost-diff	2	(.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)
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	(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	40	234
0	67	230
1	116	230
2	254	230
3	677	227
4	1666	225
5	3117	225
6	5704	225
0	8208	219

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

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

localize162.0ms (2.1%)

Memory

-15.6MiB live, 322.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(*.f64 (sin.f64 y) x)
accuracy	0.0625	(*.f64 (neg.f64 z) (cos.f64 y))
accuracy	0.09375	(fma.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
accuracy	0.1015625	(.f64 (.f64 (neg.f64 z) (cos.f64 y)) (cos.f64 y))
accuracy	0.0	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x))
accuracy	0.078125	(/.f64 (cos.f64 y) x)
accuracy	0.08984375	(fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))
accuracy	3.098625856741587	(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x)
accuracy	0.22786881178117066	(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
accuracy	4.308446042367402	(.f64 (.f64 y y) x)
accuracy	14.200178594922324	#s(approx (cos y) #s(literal 1 binary64))
accuracy	15.460631559999069	#s(approx (* x (sin y)) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))
accuracy	0.0	(*.f64 x y)
accuracy	15.19213856430573	#s(approx (+ (* y x) z) (*.f64 x y))
accuracy	15.33893734386883	#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	0.0390625	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
accuracy	0.05078125	(*.f64 (sin.f64 y) x)

Samples

92.0ms	111×	0	invalid
45.0ms	145×	0	valid

Compiler

Compiled 189 to 35 computations (81.5% saved)

Precisions

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

ival-mult: 63.0ms (68.2% of total)

ival-add: 8.0ms (8.7% of total)

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

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

const: 4.0ms (4.3% of total)

ival-sqrt: 3.0ms (3.2% of total)

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

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series121.0ms (1.5%)

Memory

24.8MiB live, 115.2MiB allocated

Counts

21 → 82

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

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

Calls

9 calls:

Time	Variable		Point	Expression
83.0ms	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 y) (* (+ (* (* (* y y) x) -1/6) x) y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (sqrt (* (* (neg z) (cos y)) (cos y))) (* (* (neg z) (cos y)) (cos y)) (* (neg z) (cos y)) (cos y) (* (* y y) x))
10.0ms	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 y) (* (+ (* (* (* y y) x) -1/6) x) y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (sqrt (* (* (neg z) (cos y)) (cos y))) (* (* (neg z) (cos y)) (cos y)) (* (neg z) (cos y)) (cos y) (* (* y y) x))
7.0ms	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 y) (* (+ (* (* (* y y) x) -1/6) x) y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (sqrt (* (* (neg z) (cos y)) (cos y))) (* (* (neg z) (cos y)) (cos y)) (* (neg z) (cos y)) (cos y) (* (* y y) x))
4.0ms	x	@	-inf	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (* (+ (* (* (* y y) x) -1/6) x) y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (sqrt (* (* (neg z) (cos y)) (cos y))) (* (* (neg z) (cos y)) (cos y)) (* (neg z) (cos y)) (cos y) (* (* y y) x))
4.0ms	x	@	0	((+ (* (cos y) z) (* (sin y) x)) (cos y) (* (sin y) x) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* x y) (* (+ (* (* (* y y) x) -1/6) x) y) (+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (+ (* (/ (cos y) x) z) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (/ (cos y) x) z) (sin y)) (/ (cos y) x) (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (sqrt (* (* (neg z) (cos y)) (cos y))) (* (* (neg z) (cos y)) (cos y)) (* (neg z) (cos y)) (cos y) (* (* y y) x))

simplify238.0ms (3%)

Memory

13.7MiB live, 264.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	940
1	1004	848
2	3812	821
0	8122	758

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 79

Calls

Call 1

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

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

rewrite237.0ms (3%)

Memory

4.9MiB live, 311.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	192
0	67	190
1	225	183
2	1421	179
0	8387	176

Stop Event

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

Counts

21 → 485

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

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

eval148.0ms (1.9%)

Memory: -28.7MiB live, 266.8MiB allocated
Compiler: Compiled 23 489 to 2 292 computations (90.2% saved)

prune34.0ms (0.4%)

Memory

12.3MiB live, 100.0MiB allocated

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	617	11	628
Fresh	7	12	19
Picked	3	2	5
Done	0	2	2
Total	627	27	654

Accuracy

100.0%

Counts

654 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.8%	(fma.f64 (.f64 (sqrt.f64 (neg.f64 z)) (fabs.f64 (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (.f64 (sin.f64 y) x))
▶	41.6%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
	31.9%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (.f64 (sin.f64 y) x))
	27.6%	(fma.f64 (sqrt.f64 #s(approx (* (* (neg z) (cos y)) (cos y)) (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
	45.5%	(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))
	43.1%	(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64))))
✓	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))
	79.9%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
	57.8%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* x (sin y)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x) x) y)))
	52.5%	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (neg.f64 z)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (neg.f64 (neg.f64 z)) #s(approx (cos y) #s(literal 1 binary64))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (neg.f64 (neg.f64 z)) #s(approx (cos y) #s(literal 1 binary64)))))
	23.8%	(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
	34.7%	(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
	46.3%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) #s(literal 2 binary64)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
▶	4.8%	#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg.f64 z))
▶	93.4%	#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))
	58.6%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z))
	57.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z))
	61.6%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.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))))
	49.6%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.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)))))
▶	89.5%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
	33.4%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (/.f64 z x)) x))
	43.0%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (sin.f64 y)) x))
▶	25.1%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y)))
✓	57.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	50.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
✓	21.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

Compiler

Compiled 1 081 to 717 computations (33.7% saved)

simplify123.0ms (1.6%)

Memory

-4.6MiB live, 156.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (sin.f64 y) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
cost-diff	0	(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x))
cost-diff	0	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
cost-diff	0	(cos.f64 y)
cost-diff	0	(fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y))
cost-diff	0	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
cost-diff	2	(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)
cost-diff	0	(*.f64 x y)
cost-diff	0	(sqrt.f64 z)
cost-diff	0	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y)))
cost-diff	4	(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg.f64 z))
cost-diff	0	(/.f64 (sin.f64 y) z)
cost-diff	0	(fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y))
cost-diff	0	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))
cost-diff	2	(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	207
0	71	194
1	127	194
2	309	194
3	877	194
4	2414	194
5	5192	190
0	8239	180

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (2.1%)

Memory

-13.2MiB live, 375.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	(sin.f64 y)
accuracy	0.0	(cos.f64 y)
accuracy	0.0	(*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x)
accuracy	0.0	(sin.f64 y)
accuracy	0.0	(cos.f64 y)
accuracy	0.0	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
accuracy	0.0	(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y)))
accuracy	0.0	(neg.f64 z)
accuracy	0.0	#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg.f64 z))
accuracy	0.0	(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z)
accuracy	0.0	(sin.f64 y)
accuracy	0.0	(cos.f64 y)
accuracy	0.0	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z))

Samples

131.0ms

256×

invalid

Compiler

Compiled 181 to 42 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-pow2: 37.0ms (32.8% of total)

ival-mult: 25.0ms (22.2% of total)

ival-sin: 15.0ms (13.3% of total)

ival-add: 11.0ms (9.7% of total)

ival-sqrt: 9.0ms (8% of total)

ival-cos: 8.0ms (7.1% of total)

ival-div: 4.0ms (3.5% of total)

ival-neg: 3.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.4%)

Memory

18.1MiB live, 64.3MiB allocated

Counts

20 → 87

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg z) (+ (* (sqrt z) (sqrt z)) (* x y)) (+ (* x (sin y)) (* z (cos y))) (sqrt z) (* x y) (* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (cos y) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (sin y) (sqrt x))
4.0ms	x	@	-inf	((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg z) (+ (* (sqrt z) (sqrt z)) (* x y)) (+ (* x (sin y)) (* z (cos y))) (sqrt z) (* x y) (* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (cos y) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (sin y) (sqrt x))
3.0ms	z	@	-inf	((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg z) (+ (* (sqrt z) (sqrt z)) (* x y)) (+ (* x (sin y)) (* z (cos y))) (sqrt z) (* x y) (* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (cos y) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (sin y) (sqrt x))
3.0ms	y	@	inf	((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg z) (+ (* (sqrt z) (sqrt z)) (* x y)) (+ (* x (sin y)) (* z (cos y))) (sqrt z) (* x y) (* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (cos y) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (sin y) (sqrt x))
3.0ms	x	@	0	((* (+ (* (/ (sin y) z) x) (cos y)) z) (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (+ (* (/ (sin y) z) x) (cos y)) (/ (sin y) z) (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg z) (+ (* (sqrt z) (sqrt z)) (* x y)) (+ (* x (sin y)) (* z (cos y))) (sqrt z) (* x y) (* (+ (* (cos y) (/ z x)) (sin y)) x) (+ (* (sin y) x) (* (cos y) z)) (+ (* (cos y) (/ z x)) (sin y)) (cos y) (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (sqrt (* (pow (sin y) 2) x)) (* (pow (sin y) 2) x) (pow (sin y) 2) (sin y) (sqrt x))

simplify184.0ms (2.3%)

Memory

5.3MiB live, 188.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	267	896
1	1005	828
2	3657	788
0	8203	727

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 85

Calls

Call 1

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

rewrite256.0ms (3.2%)

Memory

24.6MiB live, 214.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	178
0	71	164
1	249	152
2	1685	147
0	8852	140

Stop Event

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

Counts

20 → 599

Calls

Call 1

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

Outputs
(.f64 (.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y))))
(*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z)
(*.f64 z (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z) (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z) (.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (.f64 x (/.f64 (sin.f64 y) z))) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (.f64 z (.f64 x (/.f64 (sin.f64 y) z))) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))) (-.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (.f64 (.f64 z (.f64 x (/.f64 (sin.f64 y) z))) (.f64 (cos.f64 y) z)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z)) (.f64 (.f64 (cos.f64 y) z) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 x (/.f64 (sin.f64 y) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z (.f64 x (/.f64 (sin.f64 y) z))) (.f64 z (.f64 x (/.f64 (sin.f64 y) z)))) (.f64 (.f64 (cos.f64 y) z) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z)) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (cos.f64 y) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 z (-.f64 (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
(/.f64 (neg.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 y) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64))) z) (fma.f64 (cos.f64 y) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))
(/.f64 (.f64 z (-.f64 (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y)))
(/.f64 (.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 y) (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (.f64 (sqrt.f64 z) (cos.f64 y))) (sqrt.f64 z) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (fabs.f64 (.f64 (sqrt.f64 z) (cos.f64 y))) (sqrt.f64 z) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 z))) (sqrt.f64 (.f64 (sqrt.f64 z) (cos.f64 y))) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 z))) (sqrt.f64 (.f64 (sqrt.f64 z) (cos.f64 y))) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) z) (.f64 (sqrt.f64 z) (cos.f64 y)))) (pow.f64 z #s(literal 1/4 binary64)) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) z) (.f64 (sqrt.f64 z) (cos.f64 y)))) (pow.f64 z #s(literal 1/4 binary64)) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) z) z)) (sqrt.f64 (cos.f64 y)) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 z) (cos.f64 y))) (sqrt.f64 (.f64 (sqrt.f64 z) (.f64 (cos.f64 y) z))) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 z) (cos.f64 y))) (sqrt.f64 (.f64 (sqrt.f64 z) (.f64 (cos.f64 y) z))) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3/2 binary64))) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 1/4 binary64)) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3/2 binary64))) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 1/4 binary64)) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)) z (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)) z (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) #s(literal 1/2 binary64)) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 y) z) (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) #s(literal 1/2 binary64)) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 y) z) (.f64 (sqrt.f64 z) (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/4 binary64)) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 y) z) (.f64 (sqrt.f64 z) (cos.f64 y))) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/4 binary64)) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 y) z) z) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 y)) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 y) z) z) #s(literal 1/2 binary64)) (sqrt.f64 (cos.f64 y)) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 1/4 binary64)) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (cos.f64 y) z) #s(literal 1/4 binary64)) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (pow.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) #s(literal 1 binary64)) (sqrt.f64 z) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (pow.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) #s(literal 1 binary64)) (sqrt.f64 z) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (pow.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 z) (.f64 (cos.f64 y) z)) #s(literal 1/2 binary64)) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (pow.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 z) (.f64 (cos.f64 y) z)) #s(literal 1/2 binary64)) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (sqrt.f64 (.f64 z (.f64 (cos.f64 y) z))) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (sqrt.f64 (.f64 z (.f64 (cos.f64 y) z))) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 (.f64 z (.f64 (cos.f64 y) z))) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 (.f64 z (.f64 (cos.f64 y) z))) (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 1 binary64)) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 (.f64 z (.f64 (cos.f64 y) z))) (sqrt.f64 (cos.f64 y)) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 (.f64 z (.f64 (cos.f64 y) z))) (sqrt.f64 (cos.f64 y)) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (.f64 (neg.f64 (cos.f64 y)) (sqrt.f64 z)) (sqrt.f64 z) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (.f64 (neg.f64 (cos.f64 y)) (sqrt.f64 z)) (sqrt.f64 z) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3/2 binary64))) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3/2 binary64))) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (.f64 (.f64 (cos.f64 y) z) z)) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (.f64 (.f64 (cos.f64 y) z) z)) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (.f64 (.f64 (cos.f64 y) z) z) #s(literal 1/2 binary64)) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (.f64 (.f64 (cos.f64 y) z) z) #s(literal 1/2 binary64)) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (.f64 z (.f64 (cos.f64 y) z))) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (.f64 z (.f64 (cos.f64 y) z))) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 (cos.f64 y) z))) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 (cos.f64 y) z))) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 (cos.f64 y) z)) #s(literal 1/2 binary64)) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 (cos.f64 y) z)) #s(literal 1/2 binary64)) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (neg.f64 (cos.f64 y)) z (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (neg.f64 (cos.f64 y)) z (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (.f64 x (/.f64 (sin.f64 y) z)) z (.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 z) (fabs.f64 (.f64 (sqrt.f64 z) (cos.f64 y))) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 z) (fabs.f64 (.f64 (sqrt.f64 z) (cos.f64 y))) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 z) (pow.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) #s(literal 1 binary64)) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 z) (pow.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) #s(literal 1 binary64)) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 (cos.f64 y) z (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 (cos.f64 y) z (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 z (neg.f64 (cos.f64 y)) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 z (neg.f64 (cos.f64 y)) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(fma.f64 z (.f64 x (/.f64 (sin.f64 y) z)) (.f64 (cos.f64 y) z))
(fma.f64 z (cos.f64 y) (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z))
(fma.f64 z (cos.f64 y) (.f64 z (.f64 x (/.f64 (sin.f64 y) z))))
(+.f64 (.f64 (.f64 x (/.f64 (sin.f64 y) z)) z) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 z (.f64 x (/.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (*.f64 x (/.f64 (sin.f64 y) z)) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 z (*.f64 x (/.f64 (sin.f64 y) z))))
#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 x (/.f64 (sin.f64 y) z) (cos.f64 y)) z))
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eval239.0ms (3%)

Memory: -42.3MiB live, 250.5MiB allocated
Compiler: Compiled 23 700 to 2 562 computations (89.2% saved)

prune72.0ms (0.9%)

Memory

23.5MiB live, 116.9MiB allocated

Pruning

36 alts after pruning (29 fresh and 7 done)

	Pruned	Kept	Total
New	783	17	800
Fresh	6	12	18
Picked	2	3	5
Done	0	4	4
Total	791	36	827

Accuracy

100.0%

Counts

827 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.8%	(fma.f64 (.f64 (sqrt.f64 (neg.f64 z)) (fabs.f64 (cos.f64 y))) (sqrt.f64 (neg.f64 z)) (.f64 (sin.f64 y) x))
	43.1%	(fma.f64 (.f64 (sqrt.f64 z) (cos.f64 y)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
	52.5%	(fma.f64 (.f64 (sqrt.f64 x) (sin.f64 y)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
	31.9%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (.f64 (sin.f64 y) x))
	37.1%	(fma.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
	27.6%	(fma.f64 (sqrt.f64 #s(approx (* (* (neg z) (cos y)) (cos y)) (neg.f64 z))) (sqrt.f64 (neg.f64 z)) (*.f64 (sin.f64 y) x))
	45.5%	(fma.f64 (sin.f64 y) x (pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))
✓	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))
	79.9%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (*.f64 (sin.f64 y) x))
	57.8%	(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (* x (sin y)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x) x) y)))
	52.5%	(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (neg.f64 z)) #s(approx (cos y) #s(literal 1 binary64))) (.f64 (neg.f64 (neg.f64 z)) #s(approx (cos y) #s(literal 1 binary64))))) (-.f64 (.f64 x (sin.f64 y)) (.f64 (neg.f64 (neg.f64 z)) #s(approx (cos y) #s(literal 1 binary64)))))
	23.8%	(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (neg.f64 x))) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
	34.7%	(/.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z)) (fma.f64 (cos.f64 y) z (*.f64 (neg.f64 x) (sin.f64 y))))
	46.3%	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) #s(literal 2 binary64)) (.f64 z #s(approx (cos y) #s(literal 1 binary64))))
	43.0%	#s(approx (+ (* (sqrt (* (pow (sin y) 2) x)) (sqrt x)) (* (cos y) z)) (*.f64 (sin.f64 y) x))
	17.6%	#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))
✓	4.8%	#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) (neg.f64 z))
	39.5%	#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) z)
	80.0%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (/.f64 (sin.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z) (-.f64 (*.f64 x (/.f64 (sin.f64 y) z)) (cos.f64 y))))
	40.6%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (cos.f64 y)) z))
✓	93.4%	#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))
	89.7%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (fma.f64 (sin.f64 y) (/.f64 x z) (cos.f64 y)) z))
	58.6%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (*.f64 (cos.f64 y) z))
	51.1%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 x z)) y #s(literal 1 binary64))) z))
	36.7%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) (.f64 #s(approx (+ ( (/ (sin y) z) x) (cos y)) (/.f64 (*.f64 (sin.f64 y) x) z)) z))
	57.2%	#s(approx (+ (* (sqrt (* (cos y) z)) (sqrt (* (cos y) z))) (* (sin y) x)) #s(approx (* (+ (* (/ (sin y) z) x) (cos y)) z) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) x) y z)))
	61.6%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (.f64 (cos.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (-.f64 (/.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))))
	81.2%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 z x) (sin.f64 y)) x))
✓	89.5%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (*.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (sin.f64 y)) x))
	33.4%	#s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (/.f64 z x)) x))
	9.2%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (*.f64 x y)))
✓	57.9%	#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
	39.7%	#s(approx (+ (* x (sin y)) (* z (cos y))) (+.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 x y))) (/.f64 (.f64 (.f64 (neg.f64 x) y) (.f64 x y)) (-.f64 z (.f64 x y)))))
	50.3%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* (sqrt z) (sqrt z)) (* x y)) (fma.f64 (*.f64 z x) (/.f64 y z) z)))
✓	21.8%	#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))

Compiler

Compiled 2 516 to 862 computations (65.7% saved)

regimes155.0ms (2%)

Memory

-23.7MiB live, 120.2MiB allocated

Counts

69 → 1

Calls

Call 1

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

Calls

4 calls:

41.0ms	x
40.0ms	z
17.0ms	y
16.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes81.0ms (1%)

Memory

27.9MiB live, 70.1MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

4 calls:

53.0ms	x
9.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
9.0ms	z
8.0ms	y

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes96.0ms (1.2%)

Memory

-0.3MiB live, 67.6MiB allocated

Counts

32 → 3

Calls

Call 1

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

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

Calls

4 calls:

69.0ms	z
9.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
8.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
79.9%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
89.0%	3	`x`
82.0%	2	`y`
90.5%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes48.0ms (0.6%)

Memory

-0.4MiB live, 45.2MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

#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

4 calls:

25.0ms	z
7.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
7.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
66.8%	3	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
80.2%	3	`y`
75.0%	3	`x`
78.4%	4	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes45.0ms (0.6%)

Memory

-32.6MiB live, 12.4MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

44.0ms

Results

Accuracy	Segments	Branch
78.1%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes26.0ms (0.3%)

Memory

37.8MiB live, 37.8MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
6.0ms	y
6.0ms	z
6.0ms	x

Results

Accuracy	Segments	Branch
57.9%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
57.9%	1	`x`
57.9%	1	`z`
57.9%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes32.0ms (0.4%)

Memory

-29.8MiB live, 15.9MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

4 calls:

27.0ms	x
2.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
2.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
39.5%	1	`y`
39.5%	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`
45.8%	3	`x`
46.7%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes4.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Accuracy

Total -24.3b remaining (-62.6%)

Threshold costs -24.3b (-62.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
39.5%	1	`y`
39.5%	1	`x`
39.5%	1	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

bsearch40.0ms (0.5%)

Memory

11.1MiB live, 62.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.3317617298439026e+24	4.355526110786488e+24
30.0ms	-1.0960847668196503e+123	-3.7806968610745035e+117

Samples

29.0ms

208×

valid

Compiler

Compiled 324 to 300 computations (7.4% saved)

Precisions

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

ival-sin: 5.0ms (38.6% of total)

ival-cos: 4.0ms (30.9% of total)

ival-mult: 3.0ms (23.2% of total)

ival-add: 1.0ms (7.7% of total)

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

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

bsearch66.0ms (0.8%)

Memory

16.1MiB live, 108.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.39348620065533e-8	12.501719538523611
47.0ms	-48594780232865.23	-1.2210062504450045

Samples

36.0ms

304×

valid

Compiler

Compiled 834 to 605 computations (27.5% saved)

Precisions

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

ival-sin: 8.0ms (41.2% of total)

ival-cos: 6.0ms (30.9% of total)

ival-mult: 4.0ms (20.6% of total)

ival-add: 1.0ms (5.1% of total)

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

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

bsearch44.0ms (0.6%)

Memory

-39.9MiB live, 62.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	3.39348620065533e-8	12.501719538523611
31.0ms	-0.0009866132110741682	-2.0538610727061278e-19

Samples

25.0ms

160×

valid

Compiler

Compiled 734 to 565 computations (23% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 17.0ms (81.6% of total)

ival-sin: 2.0ms (9.6% of total)

ival-add: 1.0ms (4.8% of total)

ival-cos: 1.0ms (4.8% of total)

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

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

bsearch42.0ms (0.5%)

Memory

26.9MiB live, 74.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	8.209631608869347e-14	1.1056474657700104e-13
32.0ms	-5.858741227203668e-5	-5.376284183060754e-12

Samples

32.0ms

208×

valid

Compiler

Compiled 519 to 391 computations (24.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sin: 20.0ms (73.7% of total)

ival-cos: 4.0ms (14.7% of total)

ival-mult: 3.0ms (11.1% of total)

ival-add: 1.0ms (3.7% of total)

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

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

simplify59.0ms (0.7%)

Memory

-24.4MiB live, 69.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	248
1	116	248
2	187	248
3	359	248
4	706	248
5	1503	248
6	3750	248

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -18000000000000000070093420751234029697067411341287454726751605082006614164091624443414249095330765428714448061407952896 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 2700000000000000008388608 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y #s(literal -5/4 binary64)) #s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (sin.f64 y)) x)) (if (<=.f64 y #s(literal 7566047373982433/18014398509481984 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 (<=.f64 y #s(literal -8854437155380585/9223372036854775808 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 7566047373982433/18014398509481984 binary64)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 z #s(literal -6189700196426901/19342813113834066795298816 binary64)) #s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) z) (if (<=.f64 z #s(literal 6734393813712469/79228162514264337593543950336 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) #s(approx (+ ( (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) z)))
#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) z)

Outputs
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(if (<=.f64 z #s(literal -18000000000000000070093420751234029697067411341287454726751605082006614164091624443414249095330765428714448061407952896 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 2700000000000000008388608 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z))))
(if (or (<=.f64 z #s(literal -18000000000000000070093420751234029697067411341287454726751605082006614164091624443414249095330765428714448061407952896 binary64)) (not (<=.f64 z #s(literal 2700000000000000008388608 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z (.f64 x (sin.f64 y))))
(if (<=.f64 y #s(literal -5/4 binary64)) #s(approx (+ (* (sin y) x) (* (cos y) z)) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (sin.f64 y)) x)) (if (<=.f64 y #s(literal 7566047373982433/18014398509481984 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 (<=.f64 y #s(literal -5/4 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 #s(approx (+ ( (/ (cos y) x) z) (sin y)) (sin.f64 y)) x)) (if (<=.f64 y #s(literal 7566047373982433/18014398509481984 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 (<=.f64 y #s(literal -8854437155380585/9223372036854775808 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 7566047373982433/18014398509481984 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 -8854437155380585/9223372036854775808 binary64)) (not (<=.f64 y #s(literal 7566047373982433/18014398509481984 binary64)))) #s(approx (+ (* x (sin y)) (* z (cos y))) (.f64 (cos.f64 y) z)) #s(approx (+ ( x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 y x) (.f64 #s(literal -1/2 binary64) z)) y x) y z)))
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z))
(if (<=.f64 z #s(literal -6189700196426901/19342813113834066795298816 binary64)) #s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) z) (if (<=.f64 z #s(literal 6734393813712469/79228162514264337593543950336 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (.f64 x y))) #s(approx (+ ( (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) z)))
(if (or (<=.f64 z #s(literal -6189700196426901/19342813113834066795298816 binary64)) (not (<=.f64 z #s(literal 6734393813712469/79228162514264337593543950336 binary64)))) #s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) z) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))))
#s(approx (+ (* (sqrt (* (* (neg z) (cos y)) (cos y))) (sqrt (neg z))) (* (sin y) x)) z)

soundness1.3s (16.6%)

Memory

33.4MiB live, 1 265.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	178
0	71	164
1	249	152
2	1685	147
0	8852	140
0	30	131
0	51	108
1	212	108
2	1300	105
0	9107	104
0	274	932
1	989	895
2	3830	875
0	8488	804
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	265	940
1	1004	848
2	3812	821
0	8122	758

Stop Event

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

Compiler

Compiled 484 to 239 computations (50.6% saved)

preprocess77.0ms (1%)

Memory: 19.5MiB live, 109.5MiB allocated
Compiler: Compiled 514 to 164 computations (68.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (15.2%)

explain106.0ms (1.3%)

preprocess225.0ms (2.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify184.0ms (2.3%)

localize89.0ms (1.1%)

series9.0ms (0.1%)

simplify197.0ms (2.5%)

rewrite349.0ms (4.4%)

eval63.0ms (0.8%)

prune22.0ms (0.3%)

simplify141.0ms (1.8%)

localize140.0ms (1.8%)

series69.0ms (0.9%)

simplify190.0ms (2.4%)

rewrite304.0ms (3.8%)

eval215.0ms (2.7%)

prune64.0ms (0.8%)

simplify194.0ms (2.4%)

localize162.0ms (2.1%)

series121.0ms (1.5%)

simplify238.0ms (3%)

rewrite237.0ms (3%)

eval148.0ms (1.9%)

prune34.0ms (0.4%)

simplify123.0ms (1.6%)

localize164.0ms (2.1%)

series30.0ms (0.4%)

simplify184.0ms (2.3%)

rewrite256.0ms (3.2%)

eval239.0ms (3%)

prune72.0ms (0.9%)

regimes155.0ms (2%)

regimes81.0ms (1%)

regimes96.0ms (1.2%)

regimes48.0ms (0.6%)

regimes45.0ms (0.6%)

regimes26.0ms (0.3%)

regimes32.0ms (0.4%)

regimes4.0ms (0.1%)

bsearch40.0ms (0.5%)

bsearch66.0ms (0.8%)

bsearch44.0ms (0.6%)

bsearch42.0ms (0.5%)

simplify59.0ms (0.7%)

soundness1.3s (16.6%)

preprocess77.0ms (1%)

end0.0ms (0%)

Profiling