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

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.6s (23.1%)

Memory

17.5MiB live, 2 320.7MiB allocated; 434ms collecting garbage

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 840.0ms

ival-cos: 371.0ms (44.2% of total)

ival-sin: 215.0ms (25.6% of total)

ival-mult: 190.0ms (22.6% of total)

ival-sub: 50.0ms (6% of total)

ival-true: 7.0ms (0.8% of total)

adjust: 3.0ms (0.4% of total)

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

Bogosity

explain214.0ms (3%)

Memory

-16.0MiB live, 287.5MiB allocated; 40ms collecting garbage

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

107.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-sin: 28.0ms (56% of total)

ival-cos: 11.0ms (22% of total)

ival-mult: 8.0ms (16% of total)

ival-sub: 2.0ms (4% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess151.0ms (2.1%)

Memory

-7.8MiB live, 223.6MiB allocated; 31ms collecting garbage

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: 0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

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)

simplify101.0ms (1.4%)

Memory

28.1MiB live, 116.5MiB allocated; 11ms collecting garbage

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)

localize79.0ms (1.1%)

Memory

-13.2MiB live, 85.8MiB allocated; 19ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 y)
accuracy	0.0078125	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.0703125	(*.f64 z (sin.f64 y))
accuracy	0.10546875	(*.f64 x (cos.f64 y))

Samples

58.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sin: 13.0ms (51.7% of total)

ival-cos: 6.0ms (23.9% of total)

ival-mult: 4.0ms (15.9% of total)

ival-sub: 1.0ms (4% of total)

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

adjust: 0.0ms (0% of total)

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

series38.0ms (0.5%)

Memory

-18.5MiB live, 25.2MiB allocated; 8ms collecting garbage

Counts

4 → 25

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))

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)))))))
(cos y)
(* z (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
28.0ms	z	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
2.0ms	z	@	-inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
2.0ms	z	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
2.0ms	x	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	x	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))

simplify179.0ms (2.5%)

Memory

29.4MiB live, 259.9MiB allocated; 40ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	265
1	344	258
2	1199	252
3	4495	246
0	8267	227

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 24

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

rewrite280.0ms (3.9%)

Memory

-50.6MiB live, 308.3MiB allocated; 85ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
0	13	19
1	38	19
2	239	19
3	2445	19
0	8361	19

Stop Event

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

Counts

4 → 192

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))

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))))))))
(/.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 3 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 3 binary64)))) (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)) (+.f64 (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)) (.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)))) (/.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)))))))))
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(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))))

eval80.0ms (1.1%)

Memory: 5.3MiB live, 102.4MiB allocated; 14ms collecting garbage
Compiler: Compiled 6 250 to 698 computations (88.8% saved)

prune17.0ms (0.2%)

Memory

14.9MiB live, 60.7MiB allocated; 3ms collecting garbage

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	196	17	213
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	196	18	214

Accuracy

100.0%

Counts

214 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.6%	(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))))
	59.0%	(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))))
▶	46.0%	(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)))
	36.3%	(fma.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y)))
	47.4%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
	8.2%	(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 6 binary64))) (.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 (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)))))
▶	53.8%	(/.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 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
	36.3%	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z)) (sqrt.f64 z)))
	60.7%	(-.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)))
	67.0%	(-.f64 (.f64 x (cos.f64 y)) #s(approx ( z (sin y)) (*.f64 z y)))
▶	76.9%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
	53.9%	#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))
	53.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
▶	54.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
▶	91.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
	85.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (-.f64 (.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
	39.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))

Compiler

Compiled 713 to 460 computations (35.5% saved)

simplify171.0ms (2.4%)

Memory

0.7MiB live, 189.9MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (cos.f64 y) x)
cost-diff	0	(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))
cost-diff	11	(/.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 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
cost-diff	0	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
cost-diff	0	(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
cost-diff	0	(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))
cost-diff	0	(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)))
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	#s(approx (cos y) #s(literal 1 binary64))
cost-diff	0	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.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 (sin.f64 y) x)
cost-diff	0	(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
cost-diff	0	(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	230
0	63	230
1	111	230
2	234	230
3	635	230
4	1869	219
5	5928	219
0	8416	219

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

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

localize204.0ms (2.9%)

Memory

-6.4MiB live, 234.4MiB allocated; 48ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(*.f64 (cos.f64 y) x)
accuracy	0.11003876953688403	(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))
accuracy	1.3007771216604116	(-.f64 (pow.f64 (.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64)))
accuracy	17.292284395822264	(/.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 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
accuracy	0.0390625	(sqrt.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))
accuracy	0.07421875	(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)
accuracy	0.139003759768442	(pow.f64 (cos.f64 y) #s(literal 2 binary64))
accuracy	0.1484375	(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)))
accuracy	0.0078125	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y)))
accuracy	0.03515625	(*.f64 z (sin.f64 y))
accuracy	0.0546875	(*.f64 x #s(approx (cos y) #s(literal 1 binary64)))
accuracy	15.88428577490178	#s(approx (cos y) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 (neg.f64 z) y x)
accuracy	0.0	(neg.f64 z)
accuracy	16.821533806758662	#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 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x))
accuracy	0.0390625	(fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y))
accuracy	0.0703125	(/.f64 (sin.f64 y) x)
accuracy	3.113796253462917	(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)

Samples

97.0ms	137×	0	valid
65.0ms	119×	0	invalid

Compiler

Compiled 214 to 33 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-mult: 66.0ms (46.9% of total)

ival-pow2: 39.0ms (27.7% of total)

ival-cos: 15.0ms (10.7% of total)

ival-sin: 6.0ms (4.3% of total)

ival-add: 5.0ms (3.6% of total)

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

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

ival-sub: 2.0ms (1.4% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.8%)

Memory

16.0MiB live, 110.3MiB allocated; 30ms collecting garbage

Counts

20 → 87

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	z	@	0	((- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (neg z) (sin y))) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (* (cos y) x) 2) (* (cos y) x) (pow (* (sin y) z) 2))
11.0ms	y	@	0	((- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (neg z) (sin y))) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (* (cos y) x) 2) (* (cos y) x) (pow (* (sin y) z) 2))
6.0ms	x	@	0	((- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (neg z) (sin y))) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (* (cos y) x) 2) (* (cos y) x) (pow (* (sin y) z) 2))
5.0ms	x	@	-inf	((- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (neg z) (sin y))) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (* (cos y) x) 2) (* (cos y) x) (pow (* (sin y) z) 2))
5.0ms	y	@	inf	((- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (/ (sin y) x) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (neg z) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (+ (* (sqrt (* (pow (cos y) 2) x)) (sqrt x)) (* (neg z) (sin y))) (sqrt (* (pow (cos y) 2) x)) (* (pow (cos y) 2) x) (pow (cos y) 2) (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (pow (* (cos y) x) 2) (* (cos y) x) (pow (* (sin y) z) 2))

simplify200.0ms (2.8%)

Memory

9.8MiB live, 237.4MiB allocated; 45ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	324	1198
1	1144	1153
2	4302	1135
0	8477	1060

Stop Event

1×	iter limit
1×	node limit

Counts

87 → 86

Calls

Call 1

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

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

rewrite295.0ms (4.1%)

Memory

-8.8MiB live, 474.0MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	175
0	63	166
1	240	160
2	1529	154
0	8854	154

Stop Event

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

Counts

20 → 882

Calls

Call 1

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

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

eval299.0ms (4.2%)

Memory: 8.4MiB live, 389.2MiB allocated; 35ms collecting garbage
Compiler: Compiled 32 893 to 3 237 computations (90.2% saved)

prune50.0ms (0.7%)

Memory

1.9MiB live, 106.3MiB allocated; 6ms collecting garbage

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	877	17	894
Fresh	5	7	12
Picked	3	2	5
Done	0	1	1
Total	885	27	912

Accuracy

100.0%

Counts

912 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.0%	(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))))
	53.2%	(fma.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (.f64 (neg.f64 z) (sin.f64 y)))
	46.0%	(fma.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x)) (sqrt.f64 x) (*.f64 (neg.f64 z) (sin.f64 y)))
	36.3%	(fma.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y)))
▶	47.4%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
	76.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
✓	53.8%	(/.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 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
	53.8%	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
	53.8%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
	60.7%	(-.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)))
	53.8%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx ( z (sin y)) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
	35.8%	#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (.f64 (neg.f64 z) z)) x))) y) z) y x))
	53.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal -1/2 binary64)) z) y x))
	27.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)))
✓	54.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
	87.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
	85.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (-.f64 (.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
	39.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
▶	45.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x))
	50.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x))
▶	91.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x))
▶	31.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
	60.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
▶	40.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
	40.4%	#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)))
	18.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))

Compiler

Compiled 1 160 to 764 computations (34.1% saved)

simplify151.0ms (2.1%)

Memory

-6.6MiB live, 144.9MiB allocated; 13ms collecting garbage

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	397
0	64	390
1	106	378
2	175	378
3	337	378
4	576	378
5	953	378
6	1766	378
7	3335	378
8	6041	378
0	8381	378

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

localize177.0ms (2.5%)

Memory

-5.4MiB live, 131.9MiB allocated; 11ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(*.f64 (neg.f64 z) (sin.f64 y))
accuracy	0.01953125	(sqrt.f64 (*.f64 (cos.f64 y) x))
accuracy	0.0546875	(*.f64 (cos.f64 y) x)
accuracy	0.1328125	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0.0546875	(/.f64 (sin.f64 y) x)
accuracy	0.8989359950800088	(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))
accuracy	2.6327856205472364	(.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)
accuracy	17.955577321905903	#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x)))
accuracy	0.00390625	(fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x))
accuracy	2.131063276112265	(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
accuracy	2.6327856205472364	(.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))) x)
accuracy	12.413857201975581	#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64)))
accuracy	0.0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
accuracy	2.6327856205472364	(.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)
accuracy	18.145139957941726	#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64))
accuracy	0.0546875	(/.f64 (sin.f64 y) x)
accuracy	0.05859375	(/.f64 (cos.f64 y) z)
accuracy	0.09375	(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
accuracy	2.6327856205472364	(.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) x)

Samples

73.0ms	122×	0	valid
68.0ms	134×	0	invalid

Compiler

Compiled 252 to 31 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 59.0ms (67.8% of total)

ival-cos: 7.0ms (8% of total)

ival-div: 6.0ms (6.9% of total)

ival-sin: 6.0ms (6.9% of total)

ival-add: 5.0ms (5.7% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.8%)

Memory

-5.0MiB live, 45.8MiB allocated; 12ms collecting garbage

Counts

23 → 75

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	y	@	-inf	((- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (- (/ (cos y) z) (/ (sin y) x)) z) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (neg z) (/ (sin y) x)) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x) (cos y) (/ (cos y) z) (/ (sin y) x) (+ (* -1/2 y) (/ (neg z) x)) (* (neg z) (sin y)))
8.0ms	y	@	0	((- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (- (/ (cos y) z) (/ (sin y) x)) z) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (neg z) (/ (sin y) x)) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x) (cos y) (/ (cos y) z) (/ (sin y) x) (+ (* -1/2 y) (/ (neg z) x)) (* (neg z) (sin y)))
4.0ms	x	@	-inf	((- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (- (/ (cos y) z) (/ (sin y) x)) z) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (neg z) (/ (sin y) x)) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x) (cos y) (/ (cos y) z) (/ (sin y) x) (+ (* -1/2 y) (/ (neg z) x)) (* (neg z) (sin y)))
3.0ms	z	@	0	((- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (- (/ (cos y) z) (/ (sin y) x)) z) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (neg z) (/ (sin y) x)) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x) (cos y) (/ (cos y) z) (/ (sin y) x) (+ (* -1/2 y) (/ (neg z) x)) (* (neg z) (sin y)))
3.0ms	y	@	inf	((- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (- (/ (cos y) z) (/ (sin y) x)) z) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (* (neg z) (/ (sin y) x)) (+ (* (sqrt (* (cos y) x)) (sqrt (* (cos y) x))) (* (neg z) (sin y))) (sqrt (* (cos y) x)) (* (cos y) x) (cos y) (/ (cos y) z) (/ (sin y) x) (+ (* -1/2 y) (/ (neg z) x)) (* (neg z) (sin y)))

simplify211.0ms (2.9%)

Memory

3.0MiB live, 135.9MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	272	926
1	955	886
2	3563	845
0	8210	795

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 74

Calls

Call 1

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

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 (/ (* z (sin y)) x))
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))
(/ (+ (* -1 (* z (sin y))) (* x (cos y))) x)
(fma.f64 (/.f64 (neg.f64 (sin.f64 y)) x) z (cos.f64 y))
(* -1 (/ (* y z) x))
(*.f64 (neg.f64 y) (/.f64 z x))
(/ (+ (* -1 (* y z)) (* x (+ 1 (* -1/2 (pow y 2))))) x)
(/.f64 (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x) x)
(sqrt (* x (cos y)))
(sqrt.f64 (*.f64 (cos.f64 y) x))
(* x (cos y))
(*.f64 (cos.f64 y) x)
(/ (sin y) x)
(/.f64 (sin.f64 y) x)
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(/ (+ (* -1 z) (* -1/2 (* x y))) x)
(/.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) x)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) x) z (cos.f64 y)) x)
(cos y)
(cos.f64 y)
(+ (cos y) (* -1 (/ (* z (sin y)) x)))
(fma.f64 (/.f64 (neg.f64 (sin.f64 y)) x) z (cos.f64 y))
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* y z) x)) (* -1/2 (pow y 2))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x)) y #s(literal 1 binary64))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1 (/ z x)) (* -1/2 y))
(fma.f64 #s(literal -1/2 binary64) y (/.f64 (neg.f64 z) x))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(*.f64 (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) x) z (cos.f64 y)) x)
(* -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 (/.f64 (neg.f64 (sin.f64 y)) x) z (cos.f64 y)) x)
(* -1 (* (sqrt (* x (cos y))) (pow (sqrt -1) 2)))
(sqrt.f64 (*.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 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (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 y x) #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 z y) (.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)
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))
(* y (+ (* -1 (/ z x)) (* 1/6 (/ (* (pow y 2) z) x))))
(.f64 (.f64 (/.f64 z x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)
(* y (+ (* -1 (/ z x)) (* (pow y 2) (+ (* -1/120 (/ (* (pow y 2) z) x)) (* 1/6 (/ z x))))))
(.f64 (/.f64 (fma.f64 (.f64 z (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64))) (.f64 y y) (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 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) y)
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* -1/4 (* (sqrt x) (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/4 binary64) #s(literal 1 binary64)) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 y y)) (.f64 (.f64 #s(literal -1/48 binary64) x) #s(literal 1/2 binary64)) (.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 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/48 binary64) x (.f64 (.f64 (.f64 x #s(literal -19/2880 binary64)) y) y))) (.f64 (fma.f64 (*.f64 y y) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 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 (* (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))
(/ 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 x)
(/.f64 y x)
(* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x)))
(/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 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 (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 y x))
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z))))
(.f64 (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #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 (pow.f64 y #s(literal 4 binary64)) (.f64 z (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) y)
(* z (- (/ (cos y) z) (/ (sin y) x)))
(*.f64 (-.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)
(* -1/2 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/2 binary64))
(* (pow y 2) (- (* -1 (/ z (* x y))) 1/2))
(.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1/2 binary64)) (.f64 y y))
(* (pow y 2) (- (+ (* -1 (/ z (* x y))) (/ 1 (pow y 2))) 1/2))
(.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) z (/.f64 #s(literal 1 binary64) y)) y) #s(literal 1/2 binary64)) (.f64 y y))
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(* y (- (* -1 (/ z (* x y))) 1/2))
(*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 z) y) x) #s(literal 1/2 binary64)) y)
(* (pow y 2) (- (* -1 (/ (- (/ z x) (/ 1 y)) y)) 1/2))
(.f64 (-.f64 (/.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y)) #s(literal 1/2 binary64)) (.f64 y y))
(* -1 (* y (+ 1/2 (/ z (* x y)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z y) #s(literal -1/2 binary64)) y)
(* z (- (/ (* x (cos y)) z) (sin y)))
(.f64 (-.f64 (.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))
(.f64 (-.f64 (.f64 (/.f64 (cos.f64 y) z) x) (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)) (+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) z)
(* z (- (* -1/2 (/ y z)) (/ 1 x)))
(.f64 (-.f64 (.f64 (/.f64 y z) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) z)
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))
(.f64 (-.f64 (.f64 (/.f64 (cos.f64 y) z) x) (sin.f64 y)) z)
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))))
(.f64 (-.f64 (.f64 (/.f64 (cos.f64 y) z) x) (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 (+ (* -1 (/ (+ 1 (* -1/2 (pow y 2))) z)) (/ y x))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) z)
(* -1 (* z (+ (* 1/2 (/ y z)) (/ 1 x))))
(*.f64 (fma.f64 (/.f64 (neg.f64 y) z) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) z)

rewrite269.0ms (3.8%)

Memory

5.4MiB live, 256.7MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	350
0	64	343
1	201	331
2	1374	331
0	8518	331

Stop Event

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

Counts

23 → 283

Calls

Call 1

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

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

eval95.0ms (1.3%)

Memory: 2.8MiB live, 94.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 17 205 to 1 872 computations (89.1% saved)

prune49.0ms (0.7%)

Memory

12.5MiB live, 58.4MiB allocated; 4ms collecting garbage

Pruning

33 alts after pruning (27 fresh and 6 done)

	Pruned	Kept	Total
New	474	10	484
Fresh	2	17	19
Picked	2	3	5
Done	0	3	3
Total	478	33	511

Accuracy

100.0%

Counts

511 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.0%	(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))))
▶	53.2%	(fma.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (.f64 (neg.f64 z) (sin.f64 y)))
	36.3%	(fma.f64 (sqrt.f64 (.f64 (.f64 (cos.f64 y) x) x)) (sqrt.f64 (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y)))
✓	47.4%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
	32.2%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z)))
	76.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
✓	53.8%	(/.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 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
	53.8%	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
	53.8%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
	60.7%	(-.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)))
	53.8%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx ( z (sin y)) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
	35.8%	#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (.f64 (neg.f64 z) z)) x))) y) z) y x))
	53.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
	27.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)))
✓	54.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
▶	87.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
	85.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (-.f64 (.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
	39.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	38.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ (neg z) x)) (*.f64 #s(literal -1/2 binary64) y)) y #s(literal 1 binary64))) x))
	62.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (/.f64 (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) z) (*.f64 z x))) x))
▶	50.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x))
	62.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x))) z)) x))
	27.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x))) x))
✓	31.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
	14.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (.f64 (neg.f64 z) #s(approx (/ (sin y) x) (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y y) x)))) x))
	14.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) #s(approx (/ (sin y) x) (/.f64 y x)))) x))
▶	60.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
	2.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (.f64 (.f64 y y) #s(literal -1/2 binary64)))) x))
	9.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (.f64 (.f64 (/.f64 z x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) x))
✓	40.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
	40.4%	#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)))
▶	18.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))

Compiler

Compiled 1 566 to 989 computations (36.8% saved)

simplify123.0ms (1.7%)

Memory

0.3MiB live, 58.3MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 y)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 (sqrt.f64 x) (cos.f64 y))
cost-diff	4	(fma.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (.f64 (neg.f64 z) (sin.f64 y)))
cost-diff	0	(cos.f64 y)
cost-diff	0	#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y))
cost-diff	0	(.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
cost-diff	0	#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)))
cost-diff	0	(.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x))
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	(sin.f64 y)
cost-diff	0	(fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
cost-diff	2	(*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x)

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	39	272
0	61	264
1	105	262
2	177	262
3	311	262
4	720	262
5	2279	256
6	4295	256
7	5386	256
8	7511	256
0	8182	256

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

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

localize185.0ms (2.6%)

Memory

-33.4MiB live, 158.5MiB allocated; 20ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 y)
accuracy	0.03515625	(*.f64 (neg.f64 z) (sin.f64 y))
accuracy	0.06640625	(*.f64 (sqrt.f64 x) (cos.f64 y))
accuracy	0.1484375	(fma.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (.f64 (neg.f64 z) (sin.f64 y)))
accuracy	0.0	(cos.f64 y)
accuracy	0.0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
accuracy	3.113796253462917	(.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)
accuracy	15.73769455086494	#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y))
accuracy	0.0	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x))
accuracy	3.1091274506076148	(/.f64 (*.f64 z y) x)
accuracy	3.113796253462917	(.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x)
accuracy	15.203731260247341	#s(approx (+ (* (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)))
accuracy	0.0	(*.f64 (neg.f64 y) z)
accuracy	0.0	(neg.f64 y)
accuracy	14.996883361826978	#s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z))
accuracy	16.821533806758662	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))
accuracy	0.0	(cos.f64 y)
accuracy	0.0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
accuracy	2.170125776112265	(fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y))
accuracy	3.113796253462917	(*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x)

Samples

69.0ms	119×	0	invalid
57.0ms	137×	0	valid

Compiler

Compiled 189 to 32 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 18.0ms (26.2% of total)

ival-cos: 18.0ms (26.2% of total)

ival-neg: 12.0ms (17.4% of total)

ival-div: 5.0ms (7.3% of total)

ival-add: 5.0ms (7.3% of total)

ival-sin: 5.0ms (7.3% of total)

ival-sub: 2.0ms (2.9% of total)

ival-sqrt: 2.0ms (2.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.6%)

Memory

7.2MiB live, 54.5MiB allocated; 2ms collecting garbage

Counts

21 → 61

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	z	@	0	((* (+ (* (sin y) (/ (neg z) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (sin y) (/ (neg z) x)) (cos y)) (sin y) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos y) (+ (* (* (sqrt x) (cos y)) (sqrt x)) (* (neg z) (sin y))) (* (sqrt x) (cos y)) (sqrt x) (/ (* z y) x) (* (neg z) (sin y)))
3.0ms	x	@	-inf	((* (+ (* (sin y) (/ (neg z) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (sin y) (/ (neg z) x)) (cos y)) (sin y) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos y) (+ (* (* (sqrt x) (cos y)) (sqrt x)) (* (neg z) (sin y))) (* (sqrt x) (cos y)) (sqrt x) (/ (* z y) x) (* (neg z) (sin y)))
2.0ms	y	@	-inf	((* (+ (* (sin y) (/ (neg z) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (sin y) (/ (neg z) x)) (cos y)) (sin y) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos y) (+ (* (* (sqrt x) (cos y)) (sqrt x)) (* (neg z) (sin y))) (* (sqrt x) (cos y)) (sqrt x) (/ (* z y) x) (* (neg z) (sin y)))
2.0ms	y	@	inf	((* (+ (* (sin y) (/ (neg z) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (sin y) (/ (neg z) x)) (cos y)) (sin y) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos y) (+ (* (* (sqrt x) (cos y)) (sqrt x)) (* (neg z) (sin y))) (* (sqrt x) (cos y)) (sqrt x) (/ (* z y) x) (* (neg z) (sin y)))
2.0ms	z	@	inf	((* (+ (* (sin y) (/ (neg z) x)) (cos y)) x) (- (* x (cos y)) (* z (sin y))) (+ (* (sin y) (/ (neg z) x)) (cos y)) (sin y) (- (* x (cos y)) (* z (sin y))) (+ (* (neg z) y) x) (* (neg y) z) (neg y) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (- 1 (/ (* z y) x)) (- (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) (neg z)) (cos y)) x) (+ (* (/ (sin y) x) (neg z)) (cos y)) (cos y) (+ (* (* (sqrt x) (cos y)) (sqrt x)) (* (neg z) (sin y))) (* (sqrt x) (cos y)) (sqrt x) (/ (* z y) x) (* (neg z) (sin y)))

simplify183.0ms (2.6%)

Memory

24.8MiB live, 213.3MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	570
1	696	562
2	2335	532
3	5814	532
0	8448	505

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 59

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

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

rewrite157.0ms (2.2%)

Memory

-0.8MiB live, 276.6MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	241
0	61	235
1	188	233
2	1126	229
0	8677	229

Stop Event

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

Counts

21 → 223

Calls

Call 1

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

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

eval79.0ms (1.1%)

Memory: 12.3MiB live, 162.9MiB allocated; 21ms collecting garbage
Compiler: Compiled 11 604 to 1 219 computations (89.5% saved)

prune35.0ms (0.5%)

Memory

-4.6MiB live, 95.2MiB allocated; 9ms collecting garbage

Pruning

34 alts after pruning (23 fresh and 11 done)

	Pruned	Kept	Total
New	314	2	316
Fresh	1	21	22
Picked	0	5	5
Done	0	6	6
Total	315	34	349

Accuracy

100.0%

Counts

349 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.0%	(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))))
	37.6%	(fma.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) (*.f64 (neg.f64 z) (sin.f64 y)))
✓	53.2%	(fma.f64 (.f64 (sqrt.f64 x) (cos.f64 y)) (sqrt.f64 x) (.f64 (neg.f64 z) (sin.f64 y)))
✓	47.4%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) (*.f64 (neg.f64 z) (sin.f64 y)))
	32.2%	(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) x)) (sqrt.f64 (.f64 (cos.f64 y) x)) #s(approx (* (neg z) (sin y)) (*.f64 (neg.f64 y) z)))
	76.9%	(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
✓	53.8%	(/.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 (sin.f64 y) z (*.f64 (cos.f64 y) x)))
	53.8%	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
	53.8%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (pow.f64 (.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (.f64 (cos.f64 y) x)))
	60.7%	(-.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)))
	53.8%	(-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx ( z (sin y)) (.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)))
	35.8%	#s(approx (/ (- (pow (* (cos y) x) 2) (pow (* (sin y) z) 2)) (+ (* (sin y) z) (* (cos y) x))) (fma.f64 (-.f64 (.f64 (-.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (fma.f64 z z (.f64 (neg.f64 z) z)) x))) y) z) y x))
	53.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x))
	27.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 z) y)))
✓	54.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
✓	87.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (sin.f64 y) (/.f64 (neg.f64 z) x) (cos.f64 y)) x))
	85.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (-.f64 (.f64 (/.f64 x z) (cos.f64 y)) (sin.f64 y)) z))
	39.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
	38.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (fma.f64 #s(approx (+ (* -1/2 y) (/ (neg z) x)) (*.f64 #s(literal -1/2 binary64) y)) y #s(literal 1 binary64))) x))
	62.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (/.f64 (.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (.f64 (cos.f64 y) x)) z) (*.f64 z x))) x))
✓	50.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))) x))
	62.6%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) #s(approx (/ (sin y) x) (/.f64 y x))) z)) x))
	27.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (*.f64 (sin.f64 y) (/.f64 (neg.f64 z) x))) x))
✓	31.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x))
	14.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (.f64 (neg.f64 z) #s(approx (/ (sin y) x) (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y y) x)))) x))
	14.1%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (*.f64 (neg.f64 z) #s(approx (/ (sin y) x) (/.f64 y x)))) x))
	41.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) x))
✓	60.7%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))
	2.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) #s(approx (+ (* (+ (* -1/2 y) (/ (neg z) x)) y) 1) (.f64 (.f64 y y) #s(literal -1/2 binary64)))) x))
	9.8%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) #s(approx (* (neg z) (/ (sin y) x)) (.f64 (.f64 (/.f64 z x) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) x))
✓	40.0%	#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))
	40.4%	#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)))
✓	18.4%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (+ (* (neg z) y) x) (*.f64 (neg.f64 y) z)))

Compiler

Compiled 2 041 to 812 computations (60.2% saved)

regimes56.0ms (0.8%)

Memory

-25.5MiB live, 165.3MiB allocated; 13ms collecting garbage

Counts

47 → 1

Calls

Call 1

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

14.0ms	z
14.0ms	y
13.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
12.0ms	x

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes32.0ms (0.4%)

Memory

22.9MiB live, 114.0MiB allocated; 3ms collecting garbage

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

8.0ms	x
8.0ms	y
7.0ms	z
7.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Results

Accuracy	Segments	Branch
76.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
88.0%	3	`x`
81.2%	2	`y`
87.8%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes40.0ms (0.6%)

Memory

-18.2MiB live, 70.1MiB allocated; 19ms collecting garbage

Counts

19 → 4

Calls

Call 1

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

Calls

4 calls:

20.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
8.0ms	x
5.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
60.7%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
80.6%	4	`y`
78.2%	3	`z`
78.9%	3	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes31.0ms (0.4%)

Memory

17.0MiB live, 56.1MiB allocated; 16ms collecting garbage

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

19.0ms	z
5.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
70.3%	3	`z`
70.5%	3	`x`
76.2%	3	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes37.0ms (0.5%)

Memory

9.7MiB live, 93.2MiB allocated; 20ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	x
12.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
5.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
54.7%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
54.7%	1	`z`
54.7%	1	`x`
54.7%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.0%	1	`y`
46.1%	3	`z`
40.0%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
47.3%	3	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes3.0ms (0%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
40.0%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
40.0%	1	`z`
40.0%	1	`x`

Compiler

Compiled 11 to 14 computations (-27.3% saved)

bsearch94.0ms (1.3%)

Memory

-6.2MiB live, 91.0MiB allocated; 70ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	1.9294387021253006e+90	5.599920984535708e+93
57.0ms	-2.335404784274426e-50	-1.2264369778238458e-51

Samples

81.0ms

240×

valid

Compiler

Compiled 552 to 434 computations (21.4% saved)

Precisions

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

ival-cos: 6.0ms (38.2% of total)

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

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

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

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

adjust: 0.0ms (0% of total)

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

bsearch130.0ms (1.8%)

Memory

0.4MiB live, 187.5MiB allocated; 66ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
35.0ms	2.0585372649153855e+99	1.4918717722201006e+102
54.0ms	914.0851973127478	1920154861.462588
37.0ms	-1.7266234887178468e+28	-9439201494.425999

Samples

93.0ms

432×

valid

Compiler

Compiled 1 092 to 843 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-cos: 47.0ms (67.4% of total)

ival-sin: 14.0ms (20.1% of total)

ival-mult: 6.0ms (8.6% of total)

ival-sub: 2.0ms (2.9% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch45.0ms (0.6%)

Memory

12.0MiB live, 57.0MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.040351909801088e-17	1.4570517457503449e-5
25.0ms	-96140.8587198284	-4.5166309013323514e-14

Samples

21.0ms

320×

valid

Compiler

Compiled 812 to 594 computations (26.8% saved)

Precisions

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

ival-cos: 4.0ms (30.2% of total)

ival-mult: 4.0ms (30.2% of total)

ival-sin: 3.0ms (22.7% of total)

ival-sub: 1.0ms (7.6% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Memory

-11.2MiB live, 35.6MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.7523357033597973e-76	1.7526954735490467e-76
22.0ms	-6.509976174244232e-53	-8.307096833882317e-66

Samples

16.0ms

160×

valid

Compiler

Compiled 462 to 344 computations (25.5% saved)

Precisions

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

ival-cos: 5.0ms (42.4% of total)

ival-sin: 3.0ms (25.4% of total)

ival-mult: 2.0ms (17% of total)

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

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

adjust: 0.0ms (0% of total)

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

simplify91.0ms (1.3%)

Memory

-6.4MiB live, 96.3MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	288
1	121	282
2	167	282
3	226	282
4	292	282
5	426	282
6	778	282
7	1682	282
8	3723	282
9	7118	282

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 -3475305625062387/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 6500000000000000064842263015056843057191309720897778301765308382608701709799957206281486336 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))))
(if (<=.f64 y #s(literal -9500000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 920 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 107999999999999999386309569183196263954942444302386351038750130761109233237265223770100333601003405312 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))))
(if (<=.f64 y #s(literal -3412647653636267/4611686018427387904 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 534955578137577/36893488147419103232 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(if (<=.f64 x #s(literal -5094851926441913/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5711848877641899/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) #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))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))))
#s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -3475305625062387/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 x #s(literal 6500000000000000064842263015056843057191309720897778301765308382608701709799957206281486336 binary64)) (-.f64 (.f64 x #s(approx (cos y) #s(literal 1 binary64))) (.f64 z (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))))
(if (or (<=.f64 x #s(literal -3475305625062387/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (not (<=.f64 x #s(literal 6500000000000000064842263015056843057191309720897778301765308382608701709799957206281486336 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (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 -9500000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 y #s(literal 920 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 107999999999999999386309569183196263954942444302386351038750130761109233237265223770100333601003405312 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)))))
(if (<=.f64 y #s(literal -3412647653636267/4611686018427387904 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) (if (<=.f64 y #s(literal 534955578137577/36893488147419103232 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x))))
(if (or (<=.f64 y #s(literal -3412647653636267/4611686018427387904 binary64)) (not (<=.f64 y #s(literal 534955578137577/36893488147419103232 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) (cos.f64 y)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)))
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x))
(if (<=.f64 x #s(literal -5094851926441913/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5711848877641899/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) #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))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))))
(if (or (<=.f64 x #s(literal -5094851926441913/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (not (<=.f64 x #s(literal 5711848877641899/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)))) #s(approx (- (* x (cos y)) (* z (sin y))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) 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))) (.f64 #s(approx (+ ( (/ (sin y) x) (neg z)) (cos y)) #s(literal 1 binary64)) x))

derivations624.0ms (8.7%)

Memory

3.6MiB live, 510.6MiB allocated; 178ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	265
1	344	258
2	1199	252
3	4495	246
0	8267	227
0	324	1198
1	1144	1153
2	4302	1135
0	8477	1060

Stop Event

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

Compiler

Compiled 288 to 77 computations (73.3% saved)

preprocess55.0ms (0.8%)

Memory: 4.4MiB live, 92.9MiB allocated; 23ms collecting garbage
Compiler: Compiled 594 to 170 computations (71.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.6s (23.1%)

explain214.0ms (3%)

preprocess151.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify101.0ms (1.4%)

localize79.0ms (1.1%)

series38.0ms (0.5%)

simplify179.0ms (2.5%)

rewrite280.0ms (3.9%)

eval80.0ms (1.1%)

prune17.0ms (0.2%)

simplify171.0ms (2.4%)

localize204.0ms (2.9%)

series54.0ms (0.8%)

simplify200.0ms (2.8%)

rewrite295.0ms (4.1%)

eval299.0ms (4.2%)

prune50.0ms (0.7%)

simplify151.0ms (2.1%)

localize177.0ms (2.5%)

series56.0ms (0.8%)

simplify211.0ms (2.9%)

rewrite269.0ms (3.8%)

eval95.0ms (1.3%)

prune49.0ms (0.7%)

simplify123.0ms (1.7%)

localize185.0ms (2.6%)

series43.0ms (0.6%)

simplify183.0ms (2.6%)

rewrite157.0ms (2.2%)

eval79.0ms (1.1%)

prune35.0ms (0.5%)

regimes56.0ms (0.8%)

regimes32.0ms (0.4%)

regimes40.0ms (0.6%)

regimes31.0ms (0.4%)

regimes37.0ms (0.5%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch94.0ms (1.3%)

bsearch130.0ms (1.8%)

bsearch45.0ms (0.6%)

bsearch24.0ms (0.3%)

simplify91.0ms (1.3%)

derivations624.0ms (8.7%)

preprocess55.0ms (0.8%)

end0.0ms (0%)

Profiling