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

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (19.3%)

Memory

14.5MiB live, 1 561.7MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 914.0ms

ival-cos: 285.0ms (31.2% of total)

ival-mult: 256.0ms (28% of total)

ival-sin: 232.0ms (25.4% of total)

ival-sub: 130.0ms (14.2% of total)

ival-true: 6.0ms (0.7% of total)

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

Bogosity

explain156.0ms (2%)

Memory

-13.6MiB live, 110.0MiB allocated

FPErrors

Click to see full error table

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

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

51.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-sin: 11.0ms (35.1% of total)

ival-cos: 10.0ms (31.9% of total)

ival-mult: 7.0ms (22.3% of total)

ival-sub: 2.0ms (6.4% of total)

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

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

preprocess146.0ms (1.9%)

Memory

1.6MiB live, 159.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	87
1	79	84
2	146	84
3	245	84
4	451	84
5	1001	84
6	2456	84
7	5377	84
0	8	9
0	13	9
1	25	9
2	41	9
3	68	9
4	106	9
5	222	9
6	554	9
7	1420	9
8	3125	9
9	6739	9
0	8177	9

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify94.0ms (1.2%)

Memory

-5.4MiB live, 70.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	13	24
1	25	24
2	41	24
3	68	24
4	106	24
5	222	24
6	554	24
7	1420	24
8	3125	24
9	6739	24
0	8177	24

Stop Event

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

Calls

Call 1

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

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

localize32.0ms (0.4%)

Memory

29.7MiB live, 66.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 y)
accuracy	0.00390625	(sin.f64 y)
accuracy	0.078125	(*.f64 x (cos.f64 y))
accuracy	0.13671875	(*.f64 z (sin.f64 y))

Samples

27.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-cos: 9.0ms (47.9% of total)

ival-sin: 5.0ms (26.6% of total)

ival-mult: 4.0ms (21.3% of total)

ival-sub: 1.0ms (5.3% of total)

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

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

series24.0ms (0.3%)

Memory

-2.0MiB live, 39.8MiB allocated

Counts

5 → 30

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	x	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	x	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	y	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	x	@	-inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	y	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))

simplify189.0ms (2.5%)

Memory

-15.1MiB live, 193.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	307
1	398	302
2	1335	290
3	3545	288
4	7283	288
0	8252	265

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 28

Calls

Call 1

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

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

rewrite152.0ms (2%)

Memory

12.2MiB live, 245.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
0	13	21
1	38	21
2	239	21
3	2445	21
0	8361	21

Stop Event

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

Counts

5 → 200

Calls

Call 1

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

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

eval41.0ms (0.5%)

Memory: -35.9MiB live, 89.3MiB allocated
Compiler: Compiled 6 411 to 738 computations (88.5% saved)

prune15.0ms (0.2%)

Memory

12.6MiB live, 50.0MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	209	15	224
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	209	16	225

Accuracy

100.0%

Counts

225 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.4%	(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))))
	59.9%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))))
	46.8%	(fma.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) (sqrt.f64 x) (.f64 (neg.f64 z) (sin.f64 y)))
▶	53.6%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
▶	37.9%	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z)))
	41.7%	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 (.f64 (.f64 (neg.f64 z) (sin.f64 y)) (sin.f64 y))) (sqrt.f64 (neg.f64 z))))
	55.7%	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (.f64 (sin.f64 y) z))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	68.0%	(-.f64 (.f64 x (cos.f64 y)) #s(approx ( z (sin y)) (*.f64 z y)))
	78.1%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	52.5%	(.f64 (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)) (.f64 (sin.f64 y) z) (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)))))
	52.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
	52.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
▶	53.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
▶	90.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (-.f64 (.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
▶	39.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))

Compiler

Compiled 635 to 394 computations (38% saved)

simplify106.0ms (1.4%)

Memory

-12.4MiB live, 148.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	203
0	52	196
1	91	196
2	158	196
3	297	196
4	505	196
5	858	196
6	1672	196
7	3374	196
8	6764	196
0	8074	196

Stop Event

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

Calls

Call 1

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

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

localize110.0ms (1.4%)

Memory

25.8MiB live, 189.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(sqrt.f64 (*.f64 (cos.f64 y) x))
accuracy	0.0234375	(*.f64 (cos.f64 y) x)
accuracy	0.0546875	(*.f64 (neg.f64 z) (sin.f64 y))
accuracy	0.078125	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0.0859375	(pow.f64 (sin.f64 y) #s(literal 2 binary64))
accuracy	0.0859375	(.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z))
accuracy	0.802445337699037	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)
accuracy	2.6494803778760083	(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z))
accuracy	0.0	(neg.f64 z)
accuracy	0.00390625	(sin.f64 y)
accuracy	0.0546875	(*.f64 (neg.f64 z) (sin.f64 y))
accuracy	11.71895168597155	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0.0	(fma.f64 (neg.f64 z) y x)
accuracy	0.0	(neg.f64 z)
accuracy	8.944535080886965	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
accuracy	0.0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (-.f64 (.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
accuracy	0.00390625	(sin.f64 y)
accuracy	0.05078125	(*.f64 (/.f64 x z) (cos.f64 y))
accuracy	2.1392922350080257	(.f64 (-.f64 (.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z)

Samples

46.0ms	184×	0	invalid
19.0ms	72×	0	valid

Compiler

Compiled 183 to 29 computations (84.2% saved)

Precisions

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

ival-mult: 14.0ms (29.8% of total)

ival-sin: 6.0ms (12.8% of total)

ival-cos: 6.0ms (12.8% of total)

ival-sqrt: 4.0ms (8.5% of total)

ival-neg: 4.0ms (8.5% of total)

ival-div: 3.0ms (6.4% of total)

ival-sub: 3.0ms (6.4% of total)

ival-add: 2.0ms (4.3% of total)

ival-pow2: 2.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory

-20.0MiB live, 60.5MiB allocated

Counts

20 → 85

Calls

Call 1

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

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

Calls

9 calls:

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

simplify251.0ms (3.3%)

Memory

6.4MiB live, 201.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	996
1	1132	951
2	4275	930
0	8521	866

Stop Event

1×	iter limit
1×	node limit

Counts

85 → 83

Calls

Call 1

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

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

rewrite281.0ms (3.7%)

Memory

-10.3MiB live, 186.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	164
0	52	160
1	177	152
2	1078	143
0	9811	138

Stop Event

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

Counts

20 → 916

Calls

Call 1

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

Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (-.f64 (.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)) z))
(.f64 (-.f64 (.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)) z)
(.f64 z (-.f64 (.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z)) (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 z (-.f64 (pow.f64 (.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(/.f64 (neg.f64 (.f64 z (-.f64 (pow.f64 (.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64))))
(/.f64 (.f64 z (-.f64 (pow.f64 (.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))
(/.f64 (.f64 z (-.f64 (pow.f64 (.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64))))
(neg.f64 (.f64 (-.f64 (.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)) (neg.f64 z)))
(neg.f64 (.f64 (neg.f64 z) (-.f64 (.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) (/.f64 (pow.f64 (.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))) (.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))
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eval199.0ms (2.6%)

Memory: 10.4MiB live, 129.8MiB allocated
Compiler: Compiled 21 317 to 2 456 computations (88.5% saved)

prune87.0ms (1.1%)

Memory

17.8MiB live, 55.9MiB allocated

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	880	19	899
Fresh	5	5	10
Picked	2	3	5
Done	0	1	1
Total	887	28	915

Accuracy

100.0%

Counts

915 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.9%	(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)) x (*.f64 (sin.f64 y) z))
	33.4%	(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))))
	59.9%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))))
	32.8%	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) z))
	33.4%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
	71.1%	(-.f64 (.f64 x (cos.f64 y)) (.f64 (pow.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
▶	39.9%	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) (sqrt.f64 (neg.f64 z))))
	55.7%	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (.f64 (sin.f64 y) z))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	90.5%	#s(approx (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) z)) (sqrt z))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z))
	52.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x))
	52.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
▶	29.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)))
✓	53.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	49.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)))))
▶	93.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
✓	90.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (-.f64 (.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
	16.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (sqrt.f64 z) (sin.f64 y)) (neg.f64 (sqrt.f64 z))))
	16.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (neg.f64 (*.f64 (sqrt.f64 z) (sin.f64 y))) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))))
	19.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
✓	39.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	46.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (fma.f64 (-.f64 (.f64 (.f64 (/.f64 x z) #s(literal -1/2 binary64)) y) #s(literal 1 binary64)) y (/.f64 x z))) z))
	34.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
▶	90.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x)) z))
	42.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y)))
▶	16.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
	15.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) y)))
	62.1%	#s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))

Compiler

Compiled 1 192 to 772 computations (35.2% saved)

simplify119.0ms (1.6%)

Memory

-2.7MiB live, 42.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	43	310
0	69	300
1	114	300
2	230	300
3	612	300
4	1526	300
5	2966	296
6	4114	288
7	5786	288
0	8039	288

Stop Event

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

Calls

Call 1

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

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

localize165.0ms (2.2%)

Memory

-5.9MiB live, 68.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0625	(pow.f64 (sin.f64 y) #s(literal 2 binary64))
accuracy	0.09994125976844201	(.f64 (sqrt.f64 (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
accuracy	1.7814368540079113	(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z))
accuracy	2.296009692674302	(sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 z)))
accuracy	0.03515625	(/.f64 (cos.f64 y) z)
accuracy	0.0390625	(/.f64 (sin.f64 y) x)
accuracy	0.07421875	(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x)
accuracy	0.9842145805383751	(.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) x)) z)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	(neg.f64 z)
accuracy	0.078125	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y))
accuracy	8.29812172719431	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)))
accuracy	0.0	(*.f64 (neg.f64 y) z)
accuracy	0.0	(neg.f64 y)
accuracy	8.29812172719431	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
accuracy	9.263560400467492	#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))
accuracy	0.0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x))
accuracy	0.01953125	(fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y))
accuracy	0.0390625	(/.f64 (sin.f64 y) x)
accuracy	1.2126792957010157	(*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)

Samples

66.0ms	72×	0	valid
50.0ms	184×	0	invalid

Compiler

Compiled 228 to 36 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-sin: 45.0ms (49.7% of total)

ival-mult: 17.0ms (18.8% of total)

ival-cos: 6.0ms (6.6% of total)

ival-div: 5.0ms (5.5% of total)

ival-sub: 4.0ms (4.4% of total)

ival-sqrt: 4.0ms (4.4% of total)

ival-add: 3.0ms (3.3% of total)

ival-pow2: 2.0ms (2.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series72.0ms (0.9%)

Memory

0.3MiB live, 36.9MiB allocated

Counts

25 → 99

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	z	@	0	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) (- (* x (cos y)) (* z (sin y))) (sqrt x) (* (neg z) y) (* (- (/ (cos y) z) (/ (sin y) x)) x) (- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) (neg z))) (sqrt (neg z)))) (* x (cos y)) (cos y) (* (sqrt (* (pow (sin y) 2) (neg z))) (sqrt (neg z))) (/ (sin y) x) (/ (cos y) z) (sqrt (* (pow (sin y) 2) (neg z))) (* (pow (sin y) 2) (neg z)) (pow (sin y) 2))
10.0ms	y	@	inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) (- (* x (cos y)) (* z (sin y))) (sqrt x) (* (neg z) y) (* (- (/ (cos y) z) (/ (sin y) x)) x) (- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) (neg z))) (sqrt (neg z)))) (* x (cos y)) (cos y) (* (sqrt (* (pow (sin y) 2) (neg z))) (sqrt (neg z))) (/ (sin y) x) (/ (cos y) z) (sqrt (* (pow (sin y) 2) (neg z))) (* (pow (sin y) 2) (neg z)) (pow (sin y) 2))
5.0ms	y	@	-inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) (- (* x (cos y)) (* z (sin y))) (sqrt x) (* (neg z) y) (* (- (/ (cos y) z) (/ (sin y) x)) x) (- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) (neg z))) (sqrt (neg z)))) (* x (cos y)) (cos y) (* (sqrt (* (pow (sin y) 2) (neg z))) (sqrt (neg z))) (/ (sin y) x) (/ (cos y) z) (sqrt (* (pow (sin y) 2) (neg z))) (* (pow (sin y) 2) (neg z)) (pow (sin y) 2))
4.0ms	z	@	inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) (- (* x (cos y)) (* z (sin y))) (sqrt x) (* (neg z) y) (* (- (/ (cos y) z) (/ (sin y) x)) x) (- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) (neg z))) (sqrt (neg z)))) (* x (cos y)) (cos y) (* (sqrt (* (pow (sin y) 2) (neg z))) (sqrt (neg z))) (/ (sin y) x) (/ (cos y) z) (sqrt (* (pow (sin y) 2) (neg z))) (* (pow (sin y) 2) (neg z)) (pow (sin y) 2))
4.0ms	x	@	-inf	((* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) (/ (sin y) x)) (cos y)) (neg z) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) (- (* x (cos y)) (* z (sin y))) (sqrt x) (* (neg z) y) (* (- (/ (cos y) z) (/ (sin y) x)) x) (- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) (neg z))) (sqrt (neg z)))) (* x (cos y)) (cos y) (* (sqrt (* (pow (sin y) 2) (neg z))) (sqrt (neg z))) (/ (sin y) x) (/ (cos y) z) (sqrt (* (pow (sin y) 2) (neg z))) (* (pow (sin y) 2) (neg z)) (pow (sin y) 2))

simplify208.0ms (2.7%)

Memory

17.1MiB live, 222.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	1197
1	1146	1077
2	4417	1053
0	8523	990

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 98

Calls

Call 1

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

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

rewrite205.0ms (2.7%)

Memory

-13.8MiB live, 148.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	265
0	69	253
1	218	249
2	1538	238
0	9161	234

Stop Event

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

Counts

25 → 355

Calls

Call 1

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

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

eval183.0ms (2.4%)

Memory: -12.2MiB live, 100.9MiB allocated
Compiler: Compiled 16 145 to 2 206 computations (86.3% saved)

prune80.0ms (1%)

Memory

-8.9MiB live, 77.1MiB allocated

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	526	14	540
Fresh	5	14	19
Picked	3	2	5
Done	0	4	4
Total	534	34	568

Accuracy

100.0%

Counts

568 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.9%	(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)) x (*.f64 (sin.f64 y) z))
	33.4%	(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))))
	59.9%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))))
	32.8%	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) z))
	33.4%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
	55.7%	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (.f64 (sin.f64 y) z))))
▶	41.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 (fabs.f64 (*.f64 (sqrt.f64 (neg.f64 z)) (sin.f64 y))) (fabs.f64 (sqrt.f64 (neg.f64 z)))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	40.5%	#s(approx (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) (neg z))) (sqrt (neg z)))) (fma.f64 y z x))
	52.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
	21.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 z z)) y)))
✓	29.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)))
	8.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 z) y)))
✓	53.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	49.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)))))
	16.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (*.f64 (neg.f64 y) z) x))
	33.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y z))) (/.f64 (.f64 (.f64 y z) (.f64 (neg.f64 y) z)) (+.f64 x (.f64 y z)))))
	49.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (cos.f64 y)) x))
✓	90.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (-.f64 (.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
	16.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (sqrt.f64 z) (sin.f64 y)) (neg.f64 (sqrt.f64 z))))
	16.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (neg.f64 (*.f64 (sqrt.f64 z) (sin.f64 y))) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))))
	19.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
✓	39.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	41.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (/.f64 (.f64 (fma.f64 (fabs.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) x) (*.f64 x z))) z))
	34.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
	58.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x))) x)) z))
▶	71.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (sin.f64 y) x)) x)) z))
	45.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
▶	33.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
	62.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
▶	41.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) x))
▶	42.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y)))
✓	16.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
	15.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) y)))

Compiler

Compiled 1 498 to 956 computations (36.2% saved)

simplify103.0ms (1.4%)

Memory

22.6MiB live, 139.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	1	(fabs.f64 (sqrt.f64 (neg.f64 z)))
cost-diff	2	(-.f64 (.f64 x (cos.f64 y)) (.f64 (fabs.f64 (*.f64 (sqrt.f64 (neg.f64 z)) (sin.f64 y))) (fabs.f64 (sqrt.f64 (neg.f64 z)))))
cost-diff	5	(.f64 (fabs.f64 (.f64 (sqrt.f64 (neg.f64 z)) (sin.f64 y))) (fabs.f64 (sqrt.f64 (neg.f64 z))))
cost-diff	0	(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))
cost-diff	0	#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)))
cost-diff	0	(.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
cost-diff	0	#s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y)))
cost-diff	1	(fma.f64 #s(literal -1 binary64) z (/.f64 x y))
cost-diff	2	(*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y)
cost-diff	0	#s(approx (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) x))
cost-diff	0	(*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (sin.f64 y) x)) x)
cost-diff	0	#s(approx (- (* (/ x z) (cos y)) (sin y)) (*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (sin.f64 y) x)) x))
cost-diff	0	(.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (sin.f64 y) x)) x)) z)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (sin.f64 y) x)) x)) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	382
0	76	369
1	127	350
2	296	349
3	966	349
4	3175	349
5	4692	343
6	5326	343
7	7662	343
0	8045	342

Stop Event

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

Calls

Call 1

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

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

localize102.0ms (1.3%)

Memory

16.7MiB live, 214.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 y)
accuracy	0.0234375	(*.f64 x (cos.f64 y))
accuracy	0.08203125	(*.f64 (sqrt.f64 (neg.f64 z)) (sin.f64 y))
accuracy	0.09994125976844201	(.f64 (fabs.f64 (.f64 (sqrt.f64 (neg.f64 z)) (sin.f64 y))) (fabs.f64 (sqrt.f64 (neg.f64 z))))
accuracy	0.0390625	(/.f64 (sin.f64 y) x)
accuracy	0.6349855550144053	(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))
accuracy	1.2126792957010157	(.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)
accuracy	10.299674060867769	#s(approx (+ (* (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)))
accuracy	0.0	#s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y))
accuracy	0.00390625	(fma.f64 #s(literal -1 binary64) z (/.f64 x y))
accuracy	1.8755488185940716	(*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y)
accuracy	8.29812172719431	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 #s(literal -1 binary64) z (/.f64 x y)) y)))
accuracy	8.289002298672955	#s(approx (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) x)
accuracy	8.29812172719431	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) x))
accuracy	0.0390625	(/.f64 (sin.f64 y) x)
accuracy	0.07421875	(*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (sin.f64 y) x)) x)
accuracy	0.9842145805383751	(.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (sin.f64 y) x)) x)) z)
accuracy	7.884157556415125	#s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z))

Samples

55.0ms	184×	0	invalid
23.0ms	72×	0	valid

Compiler

Compiled 237 to 40 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 19.0ms (32.7% of total)

ival-div: 9.0ms (15.5% of total)

ival-cos: 6.0ms (10.3% of total)

ival-sqrt: 6.0ms (10.3% of total)

ival-sin: 5.0ms (8.6% of total)

ival-add: 4.0ms (6.9% of total)

ival-sub: 4.0ms (6.9% of total)

ival-fabs: 2.0ms (3.4% 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)

series34.0ms (0.4%)

Memory

-7.2MiB live, 70.0MiB allocated

Counts

22 → 91

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (- (/ (cos y) z) (/ (sin y) x)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) (* (+ (* -1 z) (/ x y)) y) (+ (* -1 z) (/ x y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (* (neg z) (/ (sin y) x)) (* (fabs (* (sqrt (neg z)) (sin y))) (fabs (sqrt (neg z)))) (- (* x (cos y)) (* (fabs (* (sqrt (neg z)) (sin y))) (fabs (sqrt (neg z))))) (fabs (sqrt (neg z))) (* x (cos y)) (/ (cos y) z) (/ (sin y) x) (* (sqrt (neg z)) (sin y)) (cos y))
5.0ms	x	@	0	((- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (- (/ (cos y) z) (/ (sin y) x)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) (* (+ (* -1 z) (/ x y)) y) (+ (* -1 z) (/ x y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (* (neg z) (/ (sin y) x)) (* (fabs (* (sqrt (neg z)) (sin y))) (fabs (sqrt (neg z)))) (- (* x (cos y)) (* (fabs (* (sqrt (neg z)) (sin y))) (fabs (sqrt (neg z))))) (fabs (sqrt (neg z))) (* x (cos y)) (/ (cos y) z) (/ (sin y) x) (* (sqrt (neg z)) (sin y)) (cos y))
3.0ms	x	@	-inf	((- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (- (/ (cos y) z) (/ (sin y) x)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) (* (+ (* -1 z) (/ x y)) y) (+ (* -1 z) (/ x y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (* (neg z) (/ (sin y) x)) (* (fabs (* (sqrt (neg z)) (sin y))) (fabs (sqrt (neg z)))) (- (* x (cos y)) (* (fabs (* (sqrt (neg z)) (sin y))) (fabs (sqrt (neg z))))) (fabs (sqrt (neg z))) (* x (cos y)) (/ (cos y) z) (/ (sin y) x) (* (sqrt (neg z)) (sin y)) (cos y))
3.0ms	z	@	inf	((- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (- (/ (cos y) z) (/ (sin y) x)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) (* (+ (* -1 z) (/ x y)) y) (+ (* -1 z) (/ x y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (* (neg z) (/ (sin y) x)) (* (fabs (* (sqrt (neg z)) (sin y))) (fabs (sqrt (neg z)))) (- (* x (cos y)) (* (fabs (* (sqrt (neg z)) (sin y))) (fabs (sqrt (neg z))))) (fabs (sqrt (neg z))) (* x (cos y)) (/ (cos y) z) (/ (sin y) x) (* (sqrt (neg z)) (sin y)) (cos y))
3.0ms	y	@	inf	((- (* x (cos y)) (* z (sin y))) (* (- (* (/ x z) (cos y)) (sin y)) z) (- (* (/ x z) (cos y)) (sin y)) (* (- (/ (cos y) z) (/ (sin y) x)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) (* (+ (* -1 z) (/ x y)) y) (+ (* -1 z) (/ x y)) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (- (* x (cos y)) (* z (sin y))) (* (+ (* (neg z) (/ (sin y) x)) (cos y)) x) (+ (* (neg z) (/ (sin y) x)) (cos y)) (* (neg z) (/ (sin y) x)) (* (fabs (* (sqrt (neg z)) (sin y))) (fabs (sqrt (neg z)))) (- (* x (cos y)) (* (fabs (* (sqrt (neg z)) (sin y))) (fabs (sqrt (neg z))))) (fabs (sqrt (neg z))) (* x (cos y)) (/ (cos y) z) (/ (sin y) x) (* (sqrt (neg z)) (sin y)) (cos y))

simplify189.0ms (2.5%)

Memory

13.0MiB live, 212.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	273	1149
1	992	1117
2	3619	998
0	8757	948

Stop Event

1×	iter limit
1×	node limit

Counts

91 → 90

Calls

Call 1

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

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

rewrite151.0ms (2%)

Memory

-14.4MiB live, 182.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	324
0	76	310
1	244	292
2	1744	285
0	9039	281

Stop Event

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

Counts

22 → 290

Calls

Call 1

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

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

eval81.0ms (1.1%)

Memory: -6.9MiB live, 113.0MiB allocated
Compiler: Compiled 10 846 to 1 543 computations (85.8% saved)

prune34.0ms (0.4%)

Memory

17.8MiB live, 94.0MiB allocated

Pruning

38 alts after pruning (29 fresh and 9 done)

	Pruned	Kept	Total
New	369	11	380
Fresh	5	18	23
Picked	2	3	5
Done	0	6	6
Total	376	38	414

Accuracy

100.0%

Counts

414 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.9%	(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)) x (*.f64 (sin.f64 y) z))
	33.4%	(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (.f64 x x) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))))
	59.9%	(fma.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x))))
	32.8%	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (sin.f64 y) z))
	33.4%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z))
	55.7%	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (.f64 (sin.f64 y) z))))
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
	40.5%	#s(approx (- (* x (cos y)) (* (sqrt (* (pow (sin y) 2) (neg z))) (sqrt (neg z)))) (fma.f64 y z x))
	12.4%	#s(approx (- (* x (cos y)) (* (fabs (* (sqrt (neg z)) (sin y))) (fabs (sqrt (neg z))))) (.f64 (neg.f64 (sqrt.f64 (neg.f64 z))) (.f64 (fabs.f64 (sin.f64 y)) (sqrt.f64 (neg.f64 z)))))
	52.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y (neg.f64 z)) y x))
	21.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 z z)) y)))
✓	29.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)))
	8.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 z) y)))
✓	53.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	49.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) z) (fma.f64 (sin.f64 y) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) (/.f64 x z)) #s(literal 2 binary64)))))
	16.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 (*.f64 (neg.f64 y) z) x))
	33.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y z))) (/.f64 (.f64 (.f64 y z) (.f64 (neg.f64 y) z)) (+.f64 x (.f64 y z)))))
✓	90.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (-.f64 (.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
	16.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (sqrt.f64 z) (sin.f64 y)) (neg.f64 (sqrt.f64 z))))
	16.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (.f64 (neg.f64 (*.f64 (sqrt.f64 z) (sin.f64 y))) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))))
✓	39.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	41.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (/.f64 (.f64 (fma.f64 (fabs.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) x) (*.f64 x z))) z))
	34.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (/.f64 x z)) z))
	52.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (*.f64 (/.f64 (cos.f64 y) z) x)) z))
	39.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))) x)) z))
✓	71.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (sin.f64 y) x)) x)) z))
	47.4%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (- ( (/ x z) (cos y)) (sin y)) (*.f64 (-.f64 #s(approx (/ (cos y) z) (/.f64 #s(literal 1 binary64) z)) #s(approx (/ (sin y) x) (/.f64 y x))) x)) z))
	17.5%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) z) (sqrt.f64 x))) (sqrt.f64 x))) x))
✓	33.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
	62.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) (cos.f64 y)) x))
	9.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (neg z) (/ (sin y) x)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (*.f64 (/.f64 (neg.f64 z) x) y))) x))
✓	41.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) x))
	13.8%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 (sqrt.f64 z) (sqrt.f64 z) (/.f64 x y)) y)))
	23.7%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y) (neg.f64 z)) y)))
✓	16.0%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
	35.8%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (.f64 #s(approx (+ ( -1 z) (/ x y)) (fma.f64 (/.f64 (neg.f64 z) x) x (/.f64 x y))) y)))
	29.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (.f64 #s(approx (+ ( -1 z) (/ x y)) (/.f64 x y)) y)))
	15.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (.f64 (.f64 z (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) y)))

Compiler

Compiled 2 465 to 934 computations (62.1% saved)

regimes72.0ms (0.9%)

Memory

-4.0MiB live, 124.9MiB allocated

Counts

60 → 1

Calls

Call 1

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

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Calls

4 calls:

20.0ms	z
17.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
17.0ms	y
15.0ms	x

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes67.0ms (0.9%)

Memory

-21.9MiB live, 52.0MiB allocated

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

34.0ms	x
13.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
9.0ms	z
9.0ms	y

Results

Accuracy	Segments	Branch
87.7%	3	`x`
78.1%	1	`y`
86.3%	3	`z`
78.1%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.1%)

Memory

11.0MiB live, 10.9MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
87.7%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes35.0ms (0.5%)

Memory

5.8MiB live, 47.7MiB allocated

Counts

26 → 5

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	y
7.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
7.0ms	x
7.0ms	z

Results

Accuracy	Segments	Branch
62.1%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
82.1%	5	`y`
78.4%	3	`z`
74.4%	3	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes63.0ms (0.8%)

Memory

-13.3MiB live, 24.1MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

54.0ms	z
7.0ms	y

Results

Accuracy	Segments	Branch
69.9%	3	`z`
75.3%	3	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes40.0ms (0.5%)

Memory

31.7MiB live, 31.7MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
53.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
53.9%	1	`z`
53.9%	1	`x`
53.9%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory

-21.6MiB live, 16.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
41.0%	1	`x`
41.0%	1	`y`
46.7%	3	`z`
41.0%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Accuracy

Total -0.7b remaining (-1.8%)

Threshold costs -0.7b (-1.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
41.0%	1	`y`
41.0%	1	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

bsearch43.0ms (0.6%)

Memory

20.2MiB live, 56.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.3169588163178217e+146	2.2259417264363765e+161
21.0ms	-4.4256291908003786e+56	-1.2151443068379696e+54

Samples

29.0ms

288×

valid

Compiler

Compiled 516 to 442 computations (14.3% saved)

Precisions

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

ival-cos: 7.0ms (38.1% of total)

ival-sin: 6.0ms (32.6% of total)

ival-mult: 4.0ms (21.8% of total)

ival-sub: 1.0ms (5.4% of total)

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

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

bsearch23.0ms (0.3%)

Memory

-22.4MiB live, 22.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.171380748557166e+163	1.0895643160875876e+167
6.0ms	-4.4256291908003786e+56	-1.2151443068379696e+54

Samples

10.0ms

128×

valid

Compiler

Compiled 540 to 430 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 2.0ms (27.9% of total)

ival-mult: 2.0ms (27.9% of total)

ival-sin: 2.0ms (27.9% of total)

ival-sub: 1.0ms (14% of total)

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

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

bsearch92.0ms (1.2%)

Memory

2.5MiB live, 161.6MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
22.0ms	2.975828879065242e+119	1.2962807809887523e+122
17.0ms	2.205290139321469e-20	2.5104263531807043e-12
20.0ms	-59770816692.62278	-2.345785170491123e-7
28.0ms	-2.9628057405518086e+104	-3.7238156296028835e+93

Samples

59.0ms

592×

valid

Compiler

Compiled 1 571 to 1 145 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-cos: 17.0ms (38.5% of total)

ival-sin: 13.0ms (29.4% of total)

ival-mult: 8.0ms (18.1% of total)

ival-sub: 5.0ms (11.3% of total)

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

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

bsearch3.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.205290139321469e-20	2.5104263531807043e-12
1.0ms	-59770816692.62278	-2.345785170491123e-7

Compiler

Compiled 905 to 641 computations (29.2% saved)

bsearch76.0ms (1%)

Memory

-27.9MiB live, 49.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.2935969010911556e+109	5.846057295275092e+111
57.0ms	-2.645768043741573e+119	-4.568652404454799e+117

Samples

63.0ms

240×

valid

Compiler

Compiled 657 to 494 computations (24.8% saved)

Precisions

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

ival-cos: 5.0ms (36% of total)

ival-sin: 4.0ms (28.8% of total)

ival-mult: 3.0ms (21.6% of total)

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

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

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

simplify80.0ms (1.1%)

Memory

11.3MiB live, 49.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	314
1	146	314
2	230	314
3	358	314
4	474	314
5	741	314
6	1476	314
7	3065	314
8	7498	314

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -389999999999999994463769864173057971381382129188155162624 binary64)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 155000000000000010785508106775509408068028325680097729114257078894416775453367114073034633625408569629983040857602886866312957129929615455629082624 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (-.f64 (.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))))
(if (<=.f64 x #s(literal -389999999999999994463769864173057971381382129188155162624 binary64)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 2199999999999999901629913390138986965408222110464157132865369672097074391298523725360850019938174674095101349612356610218954889226443610677943302972637862926418444288 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) #s(approx (+ ( (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))))
(if (<=.f64 y #s(literal -4050000000000000089297154176169821810841733149574174954217275286243412318767850829409166498463744 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal -1224979098644775/36028797018963968 binary64)) #s(approx (+ ( (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 6189700196426901/2475880078570760549798248448 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y) z) y x)) (if (<=.f64 y #s(literal 6000000000000000453395464081883084992718054982903786308273137163054915422161782199519455631701156656033294728617883860992 binary64)) #s(approx (+ ( (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (.f64 (cos.f64 y) x)) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))))
(if (<=.f64 y #s(literal -1224979098644775/36028797018963968 binary64)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 6189700196426901/2475880078570760549798248448 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (+ ( (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(if (<=.f64 z #s(literal -19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (.f64 (neg.f64 y) z))) (if (<=.f64 z #s(literal 3700000000000000254080646983751046770134342136206721846916967204406139825437424021724660714504606158514475237376 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) x))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -389999999999999994463769864173057971381382129188155162624 binary64)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 155000000000000010785508106775509408068028325680097729114257078894416775453367114073034633625408569629983040857602886866312957129929615455629082624 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (-.f64 (.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))))
(if (<=.f64 x #s(literal -389999999999999994463769864173057971381382129188155162624 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 155000000000000010785508106775509408068028325680097729114257078894416775453367114073034633625408569629983040857602886866312957129929615455629082624 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) (-.f64 (.f64 x (cos.f64 y)) #s(approx (* z (sin y)) (*.f64 z y)))))
(if (<=.f64 x #s(literal -389999999999999994463769864173057971381382129188155162624 binary64)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 2199999999999999901629913390138986965408222110464157132865369672097074391298523725360850019938174674095101349612356610218954889226443610677943302972637862926418444288 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) #s(approx (+ ( (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))))
(if (or (<=.f64 x #s(literal -389999999999999994463769864173057971381382129188155162624 binary64)) (not (<=.f64 x #s(literal 2199999999999999901629913390138986965408222110464157132865369672097074391298523725360850019938174674095101349612356610218954889226443610677943302972637862926418444288 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))
(if (<=.f64 y #s(literal -4050000000000000089297154176169821810841733149574174954217275286243412318767850829409166498463744 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal -1224979098644775/36028797018963968 binary64)) #s(approx (+ ( (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 6189700196426901/2475880078570760549798248448 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y) z) y x)) (if (<=.f64 y #s(literal 6000000000000000453395464081883084992718054982903786308273137163054915422161782199519455631701156656033294728617883860992 binary64)) #s(approx (+ ( (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (.f64 (cos.f64 y) x)) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))))
(if (<=.f64 y #s(literal -4050000000000000089297154176169821810841733149574174954217275286243412318767850829409166498463744 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal -1224979098644775/36028797018963968 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 6189700196426901/2475880078570760549798248448 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y) z) y x)) (if (<=.f64 y #s(literal 6000000000000000453395464081883084992718054982903786308273137163054915422161782199519455631701156656033294728617883860992 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (- ( x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))))
(if (<=.f64 y #s(literal -1224979098644775/36028797018963968 binary64)) #s(approx (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 6189700196426901/2475880078570760549798248448 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (+ ( (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (*.f64 (cos.f64 y) x))))
(if (or (<=.f64 y #s(literal -1224979098644775/36028797018963968 binary64)) (not (<=.f64 y #s(literal 6189700196426901/2475880078570760549798248448 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (cos.f64 y) x)) #s(approx (- ( x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(if (<=.f64 z #s(literal -19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (.f64 (neg.f64 y) z))) (if (<=.f64 z #s(literal 3700000000000000254080646983751046770134342136206721846916967204406139825437424021724660714504606158514475237376 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))))
(if (or (<=.f64 z #s(literal -19999999999999999331299997886547518366483030189726856989175506568457504104549882393640764156980535349390222311028686848 binary64)) (not (<=.f64 z #s(literal 3700000000000000254080646983751046770134342136206721846916967204406139825437424021724660714504606158514475237376 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) (.f64 (neg.f64 y) z))) #s(approx (- ( x (cos y)) (* z (sin y))) #s(approx (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) x)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (sqrt x) (sqrt x)) (* (neg z) y)) x))

soundness1.4s (18.2%)

Memory

39.1MiB live, 624.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	164
0	52	160
1	177	152
2	1078	143
0	9811	138
0	112	307
1	398	302
2	1335	290
3	3545	288
4	7283	288
0	8252	265
0	316	1197
1	1146	1077
2	4417	1053
0	8523	990
0	309	996
1	1132	951
2	4275	930
0	8521	866
0	8	21
0	13	21
1	38	21
2	239	21
3	2445	21
0	8361	21

Stop Event

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

Compiler

Compiled 554 to 253 computations (54.3% saved)

preprocess511.0ms (6.7%)

Memory: -13.3MiB live, 121.6MiB allocated
Compiler: Compiled 676 to 174 computations (74.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (19.3%)

explain156.0ms (2%)

preprocess146.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify94.0ms (1.2%)

localize32.0ms (0.4%)

series24.0ms (0.3%)

simplify189.0ms (2.5%)

rewrite152.0ms (2%)

eval41.0ms (0.5%)

prune15.0ms (0.2%)

simplify106.0ms (1.4%)

localize110.0ms (1.4%)

series34.0ms (0.4%)

simplify251.0ms (3.3%)

rewrite281.0ms (3.7%)

eval199.0ms (2.6%)

prune87.0ms (1.1%)

simplify119.0ms (1.6%)

localize165.0ms (2.2%)

series72.0ms (0.9%)

simplify208.0ms (2.7%)

rewrite205.0ms (2.7%)

eval183.0ms (2.4%)

prune80.0ms (1%)

simplify103.0ms (1.4%)

localize102.0ms (1.3%)

series34.0ms (0.4%)

simplify189.0ms (2.5%)

rewrite151.0ms (2%)

eval81.0ms (1.1%)

prune34.0ms (0.4%)

regimes72.0ms (0.9%)

regimes67.0ms (0.9%)

regimes9.0ms (0.1%)

regimes35.0ms (0.5%)

regimes63.0ms (0.8%)

regimes40.0ms (0.5%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

bsearch43.0ms (0.6%)

bsearch23.0ms (0.3%)

bsearch92.0ms (1.2%)

bsearch3.0ms (0%)

bsearch76.0ms (1%)

simplify80.0ms (1.1%)

soundness1.4s (18.2%)

preprocess511.0ms (6.7%)

end0.0ms (0%)

Profiling