Metrics for Statistics.Distribution.CauchyLorentz:$cdensity from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze129.0ms (1.6%)

Memory

4.4MiB live, 195.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
82%	81.9%	17.9%	0.1%	0%	0%	0%	11
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (14.8%)

Memory

37.1MiB live, 1 696.8MiB allocated

Samples

734.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 381.0ms

ival-mult: 182.0ms (47.7% of total)

ival-div: 140.0ms (36.7% of total)

ival-add: 43.0ms (11.3% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain124.0ms (1.6%)

Memory

-17.1MiB live, 135.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
14	-	-	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
10	-	-	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	-	-	`z`
0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
0	-	-	`(*.f64 z z)`
0	-	-	`y`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	14	0
`/.f64`	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	10	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	63
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	60
↳	`(*.f64 z z)`	overflow	60

Confusion

	Predicted +	Predicted -
+	19	0
-	5	232

Precision

0.7916666666666666

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	19	0	0
-	5	0	232

Precision?

0.7916666666666666

Recall?

1.0

Freqs

test

number	freq
0	232
1	24

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 7.0ms (40.1% of total)

ival-mult: 7.0ms (40.1% of total)

ival-add: 3.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess213.0ms (2.7%)

Memory

21.7MiB live, 109.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	102
1	134	99
2	520	99
3	1481	99
4	2683	99
5	3501	99
6	3781	99
7	3906	99
8	3938	99
9	3938	99
10	4348	99
11	4404	99
12	4404	99
13	4404	99
14	4404	99
15	4620	99
16	4972	99
17	4972	99
18	5347	99
0	9	11
0	14	11
1	34	11
2	104	11
3	306	11
4	732	11
5	1083	11
6	1347	11
7	1645	11
8	1825	11
9	1856	11
10	1856	11
11	1856	11
0	1856	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))

Symmetry

(abs z)

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify57.0ms (0.7%)

Memory

-18.5MiB live, 40.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
cost-diff	1	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	14	33
1	34	33
2	104	33
3	306	33
4	732	33
5	1083	33
6	1347	33
7	1645	33
8	1825	33
9	1856	33
10	1856	33
11	1856	33
0	1856	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
z

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(fma.f64 z z #s(literal 1 binary64))
(*.f64 z z)
z

localize39.0ms (0.5%)

Memory

-8.1MiB live, 37.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z z)
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (*.f64 z z))
accuracy	1.2106988385869373	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
accuracy	3.684896655117523	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

33.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

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

ival-div: 18.0ms (71.9% of total)

ival-mult: 5.0ms (20% of total)

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

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

5 → 19

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 #s(literal 1 binary64) x)
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(*.f64 z z)

Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 x)
(* y (+ 1 (pow z 2)))
1
(+ 1 (pow z 2))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
y
(+ y (* y (pow z 2)))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z))
2.0ms	x	@	0	((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z))
2.0ms	x	@	-inf	((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z))
1.0ms	y	@	0	((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z))
1.0ms	y	@	-inf	((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z))

simplify147.0ms (1.9%)

Memory

8.9MiB live, 146.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	227
1	131	219
2	414	207
3	1898	197
4	7530	197
0	8068	190

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 18

Calls

Call 1

Inputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 x)
(* y (+ 1 (pow z 2)))
1
(+ 1 (pow z 2))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
y
(+ y (* y (pow z 2)))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))

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

rewrite219.0ms (2.8%)

Memory

-3.1MiB live, 321.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	14	29
1	58	29
2	376	29
3	3126	29
0	8640	26

Stop Event

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

Counts

5 → 350

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 #s(literal 1 binary64) x)
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
(*.f64 z z)

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 z #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) (-.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 z z) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -3 binary64)) (/.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))))))))
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(fma.f64 (neg.f64 y) (*.f64 z z) y)
(fma.f64 (.f64 y (.f64 z z)) #s(literal 1 binary64) y)
(fma.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (*.f64 y (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))))
(fma.f64 y (*.f64 z z) y)
(fma.f64 y #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 y)) (.f64 z z)))
(fma.f64 y #s(literal 1 binary64) (.f64 y (.f64 z z)))
(fma.f64 (*.f64 z z) (neg.f64 y) y)
(fma.f64 (*.f64 z z) y y)
(fma.f64 z (*.f64 y z) y)
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 z z)) y)
(fma.f64 #s(literal 1 binary64) y (.f64 (neg.f64 (neg.f64 y)) (.f64 z z)))
(fma.f64 #s(literal 1 binary64) y (.f64 y (.f64 z z)))
(-.f64 (/.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)) (-.f64 (.f64 y (.f64 z z)) y)) (/.f64 (.f64 y y) (-.f64 (.f64 y (*.f64 z z)) y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 3 binary64)) (fma.f64 y y (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))))))
(-.f64 (/.f64 (.f64 y y) (fma.f64 y (.f64 z z) y)) (/.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)) (fma.f64 y (*.f64 z z) y)))
(-.f64 (.f64 y (.f64 z z)) (neg.f64 y))
(-.f64 y (.f64 y (.f64 z z)))
(+.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (/.f64 (*.f64 y (pow.f64 z #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 y y) (pow.f64 (.f64 y z) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 y y) (pow.f64 (.f64 y z) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 y y) (pow.f64 (.f64 y z) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 y y) (pow.f64 (.f64 y z) #s(literal 2 binary64))))))
(+.f64 (/.f64 y (fma.f64 z z #s(literal 1 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (fma.f64 z z #s(literal 1 binary64))))
(+.f64 (/.f64 y (fma.f64 z z #s(literal 1 binary64))) (/.f64 (*.f64 y (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal 1 binary64))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))) (/.f64 (*.f64 y (pow.f64 z #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) y) (.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) y))
(+.f64 (.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64))) (.f64 y (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y (.f64 z z) y) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y (.f64 z z) y) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y (.f64 z z) y) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y (.f64 z z) y) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 y y) (fma.f64 y (.f64 z z) y)) (/.f64 (pow.f64 (.f64 y (.f64 z z)) #s(literal 2 binary64)) (fma.f64 y (*.f64 z z) y)))
(+.f64 (neg.f64 (neg.f64 y)) (.f64 y (.f64 z z)))
(+.f64 (.f64 y (.f64 z z)) y)
(+.f64 y (.f64 (neg.f64 (neg.f64 y)) (.f64 z z)))
(+.f64 y (.f64 y (.f64 z z)))
(.f64 (fabs.f64 (.f64 #s(literal -1 binary64) z)) z)
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(literal -1 binary64) z) z)
(*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal -1 binary64))
(.f64 (.f64 z z) #s(literal 1 binary64))
(*.f64 z z)
(.f64 #s(literal 1 binary64) (.f64 z z))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z))
(pow.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 z z))
(sqrt.f64 (pow.f64 z #s(literal 4 binary64)))
(fabs.f64 (*.f64 z z))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 z)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 z) #s(literal 2 binary64))))

eval102.0ms (1.3%)

Memory: -21.9MiB live, 138.2MiB allocated
Compiler: Compiled 9 958 to 1 322 computations (86.7% saved)

prune14.0ms (0.2%)

Memory

6.7MiB live, 52.5MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	352	13	365
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	352	14	366

Accuracy

97.4%

Counts

366 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)
▶	95.3%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
	94.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
▶	67.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))))
✓	92.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
	86.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))))
	52.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
	91.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
	39.5%	(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 y (.f64 z z) y) #s(literal 2 binary64))) (fma.f64 y (*.f64 z z) y))
▶	49.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
▶	56.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
	44.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x))) (.f64 z z)))
	44.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x))) (*.f64 z z)))
	52.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))

Compiler

Compiled 475 to 345 computations (27.4% saved)

simplify130.0ms (1.7%)

Memory

19.4MiB live, 208.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	201
0	54	198
1	104	198
2	262	198
3	942	198
4	3539	196
5	7872	196
0	8839	196

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
x
#s(literal -1 binary64)
y
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
(/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x)
(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y)
(fma.f64 (neg.f64 z) z #s(literal 1 binary64))
(neg.f64 z)
z
#s(literal 1 binary64)
y
x
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(neg.f64 y)
y
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64))))
y
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))
#s(literal -1 binary64)
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
(fma.f64 z z #s(literal -1 binary64))

Outputs
(/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)
(/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y)
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
x
#s(literal -1 binary64)
y
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
(/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x)
(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y)
(fma.f64 (neg.f64 z) z #s(literal 1 binary64))
(neg.f64 z)
z
#s(literal 1 binary64)
y
x
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y)
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
(neg.f64 y)
y
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))))
(/.f64 (/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) x) y) (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64))))
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))
y
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 z z #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))
(+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
(fma.f64 z z #s(literal -1 binary64))

localize131.0ms (1.7%)

Memory

14.1MiB live, 201.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))
accuracy	1.2106988385869373	(*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64))))
accuracy	3.684896655117523	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))))
accuracy	20.197708254366823	(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.0	(neg.f64 y)
accuracy	0.3364161097188569	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
accuracy	4.699213566221974	(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
accuracy	0.0	(neg.f64 z)
accuracy	1.068484634400676	(/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x)
accuracy	5.934562694164658	(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y)
accuracy	32.46706921606614	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.1796875	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy	27.75707259064259	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
accuracy	0.0	(fma.f64 z z #s(literal 1 binary64))
accuracy	0.20176163807890646	(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64))
accuracy	0.3364161097188569	(/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)
accuracy	4.521602032323433	(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)

Samples

100.0ms

256×

valid

Compiler

Compiled 201 to 33 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div: 23.0ms (47.8% of total)

ival-mult: 11.0ms (22.9% of total)

ival-add: 6.0ms (12.5% of total)

ival-pow: 5.0ms (10.4% of total)

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

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

exact: 0.0ms (0% of total)

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

series106.0ms (1.3%)

Memory

-23.8MiB live, 118.0MiB allocated

Counts

20 → 59

Calls

Call 1

Inputs
(/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(fma.f64 z z #s(literal 1 binary64))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
(/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x)
(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y)
(fma.f64 (neg.f64 z) z #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))))
(*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(neg.f64 z)
(neg.f64 y)
(+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))

Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (+ 1 (pow z 2))))
(* x (+ 1 (pow z 2)))
(/ 1 (* x y))
(/ 1 x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ -1 (* x (+ 1 (pow z 2))))
(/ -1 x)
(/ (- (pow z 2) 1) (* x (* y (- (pow z 4) 1))))
(/ (+ 1 (* -1 (pow z 2))) y)
(/ (* y (- (pow z 4) 1)) (- (pow z 2) 1))
(* -1 y)
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
x
(+ x (* x (pow z 2)))
1
(+ 1 (pow z 2))
(/ 1 y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ 1 (* -1 (pow z 2)))
(- (/ (pow z 2) x) (/ 1 x))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
y
(+ y (* y (pow z 2)))
(* -1 z)
-1
(- (pow z 4) 1)
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (pow z 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(* x (pow z 2))
(* (pow z 2) (+ x (/ x (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* -1 (/ (pow z 2) (* x y)))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* -1 (pow z 2))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(/ -1 (* x (pow z 2)))
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(pow z 4)
(* (pow z 4) (- 1 (/ 1 (pow z 4))))

Calls

9 calls:

Time	Variable		Point	Expression
47.0ms	x	@	0	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (/ (/ 1 x) (* y (/ (+ -1 (pow z 4)) (+ (* z z) -1)))) (* y (/ (+ -1 (pow z 4)) (+ (* z z) -1))) (/ (+ -1 (pow z 4)) (+ (* z z) -1)) (neg z) (neg y) (+ -1 (pow z 4)))
26.0ms	y	@	inf	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (/ (/ 1 x) (* y (/ (+ -1 (pow z 4)) (+ (* z z) -1)))) (* y (/ (+ -1 (pow z 4)) (+ (* z z) -1))) (/ (+ -1 (pow z 4)) (+ (* z z) -1)) (neg z) (neg y) (+ -1 (pow z 4)))
8.0ms	y	@	-inf	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (/ (/ 1 x) (* y (/ (+ -1 (pow z 4)) (+ (* z z) -1)))) (* y (/ (+ -1 (pow z 4)) (+ (* z z) -1))) (/ (+ -1 (pow z 4)) (+ (* z z) -1)) (neg z) (neg y) (+ -1 (pow z 4)))
8.0ms	z	@	inf	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (/ (/ 1 x) (* y (/ (+ -1 (pow z 4)) (+ (* z z) -1)))) (* y (/ (+ -1 (pow z 4)) (+ (* z z) -1))) (/ (+ -1 (pow z 4)) (+ (* z z) -1)) (neg z) (neg y) (+ -1 (pow z 4)))
4.0ms	x	@	-inf	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (/ (/ 1 x) (* y (/ (+ -1 (pow z 4)) (+ (* z z) -1)))) (* y (/ (+ -1 (pow z 4)) (+ (* z z) -1))) (/ (+ -1 (pow z 4)) (+ (* z z) -1)) (neg z) (neg y) (+ -1 (pow z 4)))

simplify162.0ms (2.1%)

Memory

6.9MiB live, 162.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	667
1	296	646
2	819	599
3	3727	593
0	8455	572

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 57

Calls

Call 1

Inputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (+ 1 (pow z 2))))
(* x (+ 1 (pow z 2)))
(/ 1 (* x y))
(/ 1 x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ -1 (* x (+ 1 (pow z 2))))
(/ -1 x)
(/ (- (pow z 2) 1) (* x (* y (- (pow z 4) 1))))
(/ (+ 1 (* -1 (pow z 2))) y)
(/ (* y (- (pow z 4) 1)) (- (pow z 2) 1))
(* -1 y)
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
x
(+ x (* x (pow z 2)))
1
(+ 1 (pow z 2))
(/ 1 y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ 1 (* -1 (pow z 2)))
(- (/ (pow z 2) x) (/ 1 x))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
y
(+ y (* y (pow z 2)))
(* -1 z)
-1
(- (pow z 4) 1)
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (pow z 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(* x (pow z 2))
(* (pow z 2) (+ x (/ x (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* -1 (/ (pow z 2) (* x y)))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* -1 (pow z 2))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(/ -1 (* x (pow z 2)))
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(pow z 4)
(* (pow z 4) (- 1 (/ 1 (pow z 4))))

Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(* x (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (pow z 2) 1) (* x (* y (- (pow z 4) 1))))
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) y) (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) x))
(/ (+ 1 (* -1 (pow z 2))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ (* y (- (pow z 4) 1)) (- (pow z 2) 1))
(*.f64 (/.f64 y (fma.f64 z z #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))
(* -1 y)
(neg.f64 y)
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) y) x) (*.f64 z z) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) (fma.f64 z z #s(literal -1 binary64))) (.f64 y x)) (.f64 z z) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x)
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(/.f64 (fma.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 z z) #s(literal 1 binary64)) x)
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(fma.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) (fma.f64 z z #s(literal -1 binary64))) x) (*.f64 z z) (/.f64 #s(literal 1 binary64) x))
x
(+ x (* x (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(+ 1 (* -1 (pow z 2)))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
(- (/ (pow z 2) x) (/ 1 x))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) x)
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))
(/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) (fma.f64 z z #s(literal -1 binary64))) x)
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
(*.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) x))
y
(+ y (* y (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(* -1 z)
(neg.f64 z)
-1
#s(literal -1 binary64)
(- (pow z 4) 1)
(-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 y x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 y x))) (.f64 z z))
(/ 1 (* x (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) (*.f64 z z))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) (*.f64 z z))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z z))) x)) (.f64 z z))
(* x (pow z 2))
(.f64 (.f64 z z) x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* -1 (/ (pow z 2) (* x y)))
(.f64 (/.f64 z (.f64 (neg.f64 y) x)) z)
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z z))
(* -1 (/ (pow z 2) y))
(*.f64 (/.f64 (neg.f64 z) y) z)
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) z) z)
(/ -1 (* x (pow z 2)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x))
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 z z))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) x)) (*.f64 z z))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z z))) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) x)) (.f64 z z))
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(* (pow z 4) (- 1 (/ 1 (pow z 4))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 z #s(literal 4 binary64)))

rewrite260.0ms (3.3%)

Memory

-24.6MiB live, 355.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	164
0	54	148
1	202	142
2	1284	139
0	9056	139

Stop Event

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

Counts

20 → 1 550

Calls

Call 1

Inputs
(/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)
(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(fma.f64 z z #s(literal 1 binary64))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
(/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x)
(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y)
(fma.f64 (neg.f64 z) z #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))))
(*.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(neg.f64 z)
(neg.f64 y)
(+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))

Outputs
(.f64 (pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 y)))
(.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (/.f64 y (fma.f64 z z #s(literal 1 binary64))) (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 z z) #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) z))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 z #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(.f64 (/.f64 (neg.f64 (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64))) y) (/.f64 (neg.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64))) y))
(.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(*.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) y) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y)) (fma.f64 z z #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)) #s(literal -1 binary64))
(pow.f64 (.f64 (neg.f64 x) (.f64 (fma.f64 z z #s(literal -1 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y))) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z z)) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z z)))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z z)) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z z)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z z)))))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 8 binary64)) (-.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 z z)))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 z z)))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64)))) (.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 z z) #s(literal -1 binary64)))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 z z) #s(literal -1 binary64)))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64)))) (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 z z) #s(literal -1 binary64))))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 (-.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 z z) #s(literal -1 binary64))))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (-.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 z z) #s(literal -1 binary64))))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 z z) #s(literal -1 binary64)))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 z z)))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (neg.f64 (-.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 z z) #s(literal -1 binary64))))))
(/.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 z z)))))
(/.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (-.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 z z) #s(literal -1 binary64)))))
(/.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) y) (fma.f64 z z #s(literal 1 binary64))))
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(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 z z #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64)))) (.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 (-.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 z z) #s(literal -1 binary64))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 z z) #s(literal -1 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 z z #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 z z)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64)))) (.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (-.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 z z) #s(literal -1 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 z z)))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 (.f64 z z) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (.f64 (fma.f64 z z #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 z z #s(literal -1 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 z z #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 z z #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))) (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 z #s(literal 12 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 12 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 z #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 12 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 12 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 z #s(literal 12 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 z (neg.f64 (neg.f64 z))) (.f64 z (neg.f64 (neg.f64 z))) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) (.f64 #s(literal 1 binary64) (neg.f64 z))) (.f64 z z) #s(literal -1 binary64))
(fma.f64 (pow.f64 (.f64 (neg.f64 z) z) #s(literal 1 binary64)) (pow.f64 (.f64 (neg.f64 z) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (.f64 (.f64 z z) #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 z z) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (.f64 (.f64 z z) #s(literal -1 binary64))) (fabs.f64 (.f64 (.f64 z z) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (.f64 (.f64 (neg.f64 z) z) (neg.f64 z))) z #s(literal -1 binary64))
(fma.f64 (fabs.f64 (.f64 (.f64 (neg.f64 z) z) z)) z #s(literal -1 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal 2 binary64)) (.f64 z z) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 (neg.f64 z) z) (neg.f64 z)) z #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 (neg.f64 z) z) z) (neg.f64 z) #s(literal -1 binary64))
(fma.f64 (.f64 (neg.f64 (neg.f64 z)) z) (.f64 (neg.f64 (neg.f64 z)) z) #s(literal -1 binary64))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z) #s(literal -1 binary64))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) z #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 z z) #s(literal -1 binary64)) (.f64 (.f64 z z) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (neg.f64 z) z) (.f64 (neg.f64 z) z) #s(literal -1 binary64))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (.f64 z (.f64 (neg.f64 z) z)) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 z z) (.f64 (.f64 z #s(literal -1 binary64)) (.f64 z #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 z z) (.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (.f64 (neg.f64 z) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 z z) (.f64 (.f64 (neg.f64 z) #s(literal 1 binary64)) (.f64 (neg.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 z z) (pow.f64 (.f64 (neg.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 z z) (.f64 z z) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 z (fabs.f64 (.f64 z (.f64 (neg.f64 z) z))) #s(literal -1 binary64))
(fma.f64 z (fabs.f64 (.f64 (neg.f64 z) (.f64 (neg.f64 z) z))) #s(literal -1 binary64))
(fma.f64 z (.f64 (neg.f64 z) (.f64 (neg.f64 z) z)) #s(literal -1 binary64))
(fma.f64 z (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 2 binary64)))
(expm1.f64 (.f64 (log.f64 (.f64 (neg.f64 z) z)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 z) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 z #s(literal 8 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 z #s(literal 12 binary64)) (+.f64 (pow.f64 z #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 8 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 z) z) (*.f64 z z)))
(+.f64 (/.f64 (pow.f64 z #s(literal 12 binary64)) (+.f64 (pow.f64 z #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal 4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal 4 binary64)))))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 z #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal 4 binary64)))))) (/.f64 (pow.f64 z #s(literal 12 binary64)) (+.f64 (pow.f64 z #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 z #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 z #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))

eval278.0ms (3.5%)

Memory: 3.7MiB live, 429.6MiB allocated
Compiler: Compiled 35 708 to 4 730 computations (86.8% saved)

prune60.0ms (0.8%)

Memory

-3.9MiB live, 95.8MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1 216	13	1 229
Fresh	6	2	8
Picked	4	1	5
Done	1	0	1
Total	1 227	16	1 243

Accuracy

97.4%

Counts

1 243 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(/.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) x) y)
▶	55.5%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ (* z z) 1) (*.f64 z z))) (neg.f64 y))
	94.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	67.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (/.f64 (fma.f64 (.f64 (*.f64 (neg.f64 z) z) (neg.f64 z)) z #s(literal -1 binary64)) (fma.f64 z z #s(literal -1 binary64)))))
	55.6%	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) y)
	93.2%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
	91.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
▶	94.8%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)))
▶	52.7%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))
	68.8%	#s(approx (/ (/ 1 x) (* y (/ (+ -1 (pow z 4)) (+ (* z z) -1)))) (/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) y) (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) x)))
	33.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 z) z) y) x (.f64 x (pow.f64 y #s(literal -1 binary64)))) (*.f64 x x)))
	29.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y x) (.f64 (neg.f64 y) (.f64 (neg.f64 z) z))) (.f64 (neg.f64 y) (*.f64 y x))))
	50.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (neg.f64 y) x)))
✓	56.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
	56.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x))
▶	56.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 589 to 433 computations (26.5% saved)

simplify93.0ms (1.2%)

Memory

33.9MiB live, 76.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	193
0	53	191
1	108	191
2	270	190
3	784	190
4	1673	190
5	2272	190
6	2601	190
7	2652	190
8	2665	190
9	2665	190
10	2665	190
11	2924	190
12	3268	190
13	3312	190
0	3312	190

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize118.0ms (1.5%)

Memory

-18.6MiB live, 174.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 y)
accuracy	0.3364161097188569	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ (* z z) 1) (*.f64 z z))) (neg.f64 y))
accuracy	4.699213566221974	(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ (* z z) 1) (*.f64 z z)))
accuracy	30.13277396210232	#s(approx (+ (* z z) 1) (*.f64 z z))
accuracy	0.0	(neg.f64 y)
accuracy	0.2785045366257788	(.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
accuracy	0.4659531863538546	(/.f64 #s(literal -1 binary64) (.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y)))
accuracy	4.521602032323433	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
accuracy	0.18194123697150816	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))
accuracy	3.6367135961607637	(.f64 (.f64 (*.f64 z z) y) x)
accuracy	7.871553235270541	(.f64 (.f64 z z) y)
accuracy	25.416968096056827	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))
accuracy	0.0	(*.f64 y x)
accuracy	0.7251422453052667	(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy	27.75707259064259	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy	0.0	(fma.f64 z z #s(literal 1 binary64))
accuracy	0.1569526560173448	(pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	0.3364161097188569	(/.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) x) y)
accuracy	4.530265893289227	(/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) x)

Samples

78.0ms

256×

valid

Compiler

Compiled 179 to 31 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 22.0ms (51.2% of total)

ival-mult: 12.0ms (27.9% of total)

ival-pow: 5.0ms (11.6% of total)

ival-add: 3.0ms (7% of total)

ival-neg: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.4%)

Memory

29.5MiB live, 73.7MiB allocated

Counts

19 → 52

Calls

Call 1

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

Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x y))
(* x y)
(/ 1 (* x (* y (pow z 2))))
(* x (* y (pow z 2)))
(* -1 (* x (* y (+ 1 (pow z 2)))))
(* x (+ 1 (pow z 2)))
(/ -1 (* x (+ 1 (pow z 2))))
(/ -1 x)
(* y (pow z 2))
(* -1 y)
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 x)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
1
(+ 1 (* -1 (pow z 2)))
(+ 1 (* (pow z 2) (- (pow z 2) 1)))
(+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)))
(+ 1 (pow z 2))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2)))))
x
(+ x (* x (pow z 2)))
(- (/ (pow z 2) x) (/ 1 x))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (pow z 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(/ 1 (pow z 2))
(/ (- 1 (/ 1 (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* -1 (* x (* y (pow z 2))))
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2)))))
(* x (pow z 2))
(* (pow z 2) (+ x (/ x (pow z 2))))
(/ -1 (* x (pow z 2)))
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	((/ (/ (pow (+ (* z z) 1) -1) x) y) (/ (pow (+ (* z z) 1) -1) x) (pow (+ (* z z) 1) -1) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* z z) y) x)) (* (* (* z z) y) x) (* (* z z) y) (/ -1 (* (* x (+ (* z z) 1)) (neg y))) (* (* x (+ (* z z) 1)) (neg y)) (* x (+ (* z z) 1)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (neg y))
3.0ms	x	@	0	((/ (/ (pow (+ (* z z) 1) -1) x) y) (/ (pow (+ (* z z) 1) -1) x) (pow (+ (* z z) 1) -1) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* z z) y) x)) (* (* (* z z) y) x) (* (* z z) y) (/ -1 (* (* x (+ (* z z) 1)) (neg y))) (* (* x (+ (* z z) 1)) (neg y)) (* x (+ (* z z) 1)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (neg y))
3.0ms	y	@	-inf	((/ (/ (pow (+ (* z z) 1) -1) x) y) (/ (pow (+ (* z z) 1) -1) x) (pow (+ (* z z) 1) -1) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* z z) y) x)) (* (* (* z z) y) x) (* (* z z) y) (/ -1 (* (* x (+ (* z z) 1)) (neg y))) (* (* x (+ (* z z) 1)) (neg y)) (* x (+ (* z z) 1)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (neg y))
3.0ms	x	@	-inf	((/ (/ (pow (+ (* z z) 1) -1) x) y) (/ (pow (+ (* z z) 1) -1) x) (pow (+ (* z z) 1) -1) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* z z) y) x)) (* (* (* z z) y) x) (* (* z z) y) (/ -1 (* (* x (+ (* z z) 1)) (neg y))) (* (* x (+ (* z z) 1)) (neg y)) (* x (+ (* z z) 1)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (neg y))
3.0ms	x	@	inf	((/ (/ (pow (+ (* z z) 1) -1) x) y) (/ (pow (+ (* z z) 1) -1) x) (pow (+ (* z z) 1) -1) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* z z) y) x)) (* (* (* z z) y) x) (* (* z z) y) (/ -1 (* (* x (+ (* z z) 1)) (neg y))) (* (* x (+ (* z z) 1)) (neg y)) (* x (+ (* z z) 1)) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (neg y))

simplify147.0ms (1.9%)

Memory

-33.5MiB live, 271.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	655
1	319	634
2	994	579
3	4826	577
0	8137	566

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 51

Calls

Call 1

Inputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x y))
(* x y)
(/ 1 (* x (* y (pow z 2))))
(* x (* y (pow z 2)))
(* -1 (* x (* y (+ 1 (pow z 2)))))
(* x (+ 1 (pow z 2)))
(/ -1 (* x (+ 1 (pow z 2))))
(/ -1 x)
(* y (pow z 2))
(* -1 y)
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 x)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
1
(+ 1 (* -1 (pow z 2)))
(+ 1 (* (pow z 2) (- (pow z 2) 1)))
(+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)))
(+ 1 (pow z 2))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2)))))
x
(+ x (* x (pow z 2)))
(- (/ (pow z 2) x) (/ 1 x))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (pow z 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(/ 1 (pow z 2))
(/ (- 1 (/ 1 (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* -1 (* x (* y (pow z 2))))
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2)))))
(* x (pow z 2))
(* (pow z 2) (+ x (/ x (pow z 2))))
(/ -1 (* x (pow z 2)))
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))

Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(* x y)
(*.f64 y x)
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))
(* x (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) x)
(* -1 (* x (* y (+ 1 (pow z 2)))))
(.f64 (.f64 x (fma.f64 (neg.f64 z) z #s(literal -1 binary64))) y)
(* x (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(/ -1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(* -1 y)
(neg.f64 y)
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 (.f64 z z) (pow.f64 z #s(literal 4 binary64))) (.f64 y x)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (-.f64 (/.f64 (-.f64 (.f64 z z) (pow.f64 z #s(literal 4 binary64))) (.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z z) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x)
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 z z) (pow.f64 z #s(literal 4 binary64))) x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(fma.f64 (-.f64 (/.f64 (-.f64 (.f64 z z) (pow.f64 z #s(literal 4 binary64))) x) (/.f64 #s(literal 1 binary64) x)) (.f64 z z) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow z 2)))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
(+ 1 (* (pow z 2) (- (pow z 2) 1)))
(fma.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 z z) #s(literal 1 binary64))
(+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)))
(fma.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1 binary64) (fma.f64 z z #s(literal -1 binary64))) (*.f64 z z) #s(literal 1 binary64))
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2)))))
(.f64 (.f64 x (fma.f64 (neg.f64 z) z #s(literal -1 binary64))) y)
x
(+ x (* x (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(- (/ (pow z 2) x) (/ 1 x))
(-.f64 (/.f64 (*.f64 z z) x) (/.f64 #s(literal 1 binary64) x))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))
(-.f64 (/.f64 (-.f64 (*.f64 z z) (pow.f64 z #s(literal 4 binary64))) x) (/.f64 #s(literal 1 binary64) x))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
(.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 z z) x) (/.f64 #s(literal 1 binary64) x)))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 y x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 y x))) (.f64 z z))
(/ 1 (* x (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) (*.f64 z z))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 z z) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 4 binary64))))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z z))) x)) (.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ (- 1 (/ 1 (pow z 2))) (pow z 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) z) z)
(/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 1 binary64))) (.f64 z z))
(/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* -1 (* x (* y (pow z 2))))
(.f64 (.f64 (*.f64 (neg.f64 z) x) y) z)
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2)))))
(.f64 (.f64 x (fma.f64 (neg.f64 z) z #s(literal -1 binary64))) y)
(* x (pow z 2))
(.f64 (.f64 z z) x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(/ -1 (* x (pow z 2)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x))
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 z z))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 z z) x)))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z z))) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) x)) (.f64 z z))

rewrite182.0ms (2.3%)

Memory

-9.9MiB live, 227.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	160
0	53	158
1	176	157
2	933	153
0	8068	153

Stop Event

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

Counts

19 → 970

Calls

Call 1

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

Outputs
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (.f64 x x) (pow.f64 z #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (.f64 x (fma.f64 z z #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (*.f64 z z) x)))))
(.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) z #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 z z #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 (neg.f64 z) z #s(literal -1 binary64)) (pow.f64 z #s(literal 4 binary64))))
(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (.f64 y y) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)))) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))
(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z z) y) (-.f64 (.f64 (.f64 z z) y) y) (.f64 y y)))
(.f64 (.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (+.f64 (neg.f64 z) #s(literal 1 binary64))) (-.f64 (neg.f64 z) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) z)) (-.f64 z #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (.f64 y x) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (.f64 y x) #s(literal -1/2 binary64))) (.f64 (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (.f64 y x) #s(literal -1/2 binary64))) (.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (.f64 (fma.f64 (.f64 z z) x x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (fma.f64 (*.f64 z z) x x) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) y))
(*.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 y)) (/.f64 (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) y))
(*.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) y) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) y) (/.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) x) (/.f64 (fma.f64 z z #s(literal 1 binary64)) y))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) y) (/.f64 (fma.f64 z z #s(literal -1 binary64)) x))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x) (/.f64 (fma.f64 z z #s(literal -1 binary64)) y))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)) y) (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)) x) (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) y))
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) y) (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) y) (/.f64 (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) x))
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) x) (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) x) (/.f64 (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) y))
(.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 z z) x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 z z) x x) #s(literal -1/2 binary64))) y))
(.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 z z) x x) #s(literal -1/2 binary64))) y) (/.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 z z) x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 (fma.f64 (.f64 z z) x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 z z) x x) #s(literal -1/2 binary64)) y))
(.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z z) x x)))
(.f64 (pow.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) y) x) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (pow.f64 (fma.f64 (.f64 z z) x x) #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 (fma.f64 (*.f64 z z) x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 (fma.f64 (.f64 z z) x x) #s(literal -1/2 binary64)) y) (pow.f64 (fma.f64 (*.f64 z z) x x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 y x)))
(.f64 (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 z z #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (.f64 y x)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (fma.f64 z z #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) x x)) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) y) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/4 binary64)) (/.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) y) x)))
(.f64 (pow.f64 (.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 z z) x x) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 z z) x x) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 z z) x x) #s(literal -1/2 binary64)) y)))
(.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) y) (/.f64 (.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) y))
(.f64 (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 (neg.f64 x) y)))
(.f64 (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) (.f64 y x)))
(.f64 (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) (.f64 (neg.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))
(.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 z z) x x) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 z z) x x) #s(literal -1/2 binary64)) (neg.f64 y)))
(.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 z z) x x) #s(literal -1/2 binary64))) (/.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 z z) x x) #s(literal -1/2 binary64))) y))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 z z) x x) #s(literal -1/2 binary64)) y)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 z z) x x) #s(literal -1 binary64)))
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(-.f64 x (.f64 (neg.f64 z) (.f64 x z)))
(-.f64 x (.f64 (neg.f64 x) (.f64 z z)))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 (*.f64 z z))))
(+.f64 (.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) x) (.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) x))
(+.f64 (.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64))) x) (.f64 (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(+.f64 (.f64 x (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 x (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))))
(+.f64 (.f64 x (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)))) (.f64 x (pow.f64 (fma.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 z z) x) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 z z) x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) (pow.f64 z #s(literal 4 binary64)) (.f64 x (-.f64 x (.f64 (.f64 z z) x))))))
(+.f64 (cosh.f64 (+.f64 (log.f64 x) (log1p.f64 (.f64 z z)))) (sinh.f64 (+.f64 (log.f64 x) (log1p.f64 (.f64 z z)))))
(+.f64 (.f64 (.f64 z z) x) x)
(+.f64 x (.f64 (.f64 z z) x))
(.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 #s(approx (+ ( z z) 1) (*.f64 z z)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 y)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y)))
(pow.f64 (.f64 #s(approx (+ ( z z) 1) (.f64 z z)) (.f64 y x)) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* z z) 1) (*.f64 z z))) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(approx (+ ( z z) 1) (*.f64 z z))) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* z z) 1) (*.f64 z z))) y)
(/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) (neg.f64 y)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ (* z z) 1) (*.f64 z z))) (neg.f64 y))
(/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(approx (+ ( z z) 1) (*.f64 z z)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) y))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) #s(approx (+ (* z z) 1) (*.f64 z z))) y))
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( z z) 1) (.f64 z z)) (.f64 y x)))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ (* z z) 1) (*.f64 z z))) y))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 #s(approx (+ ( z z) 1) (*.f64 z z)))))
(pow.f64 (.f64 (neg.f64 x) #s(approx (+ ( z z) 1) (*.f64 z z))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ (* z z) 1) (*.f64 z z)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (neg.f64 #s(approx (+ ( z z) 1) (*.f64 z z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (neg.f64 x) #s(approx (+ ( z z) 1) (*.f64 z z)))))
(/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ ( z z) 1) (*.f64 z z)) x))
(/.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) #s(approx (+ ( z z) 1) (*.f64 z z))))
(neg.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* z z) 1) (*.f64 z z))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))
#s(approx (+ (* z z) 1) (*.f64 z z))
(neg.f64 (neg.f64 #s(approx (+ (* z z) 1) (*.f64 z z))))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(neg.f64 y)

eval205.0ms (2.6%)

Memory: 23.2MiB live, 161.4MiB allocated
Compiler: Compiled 21 657 to 3 141 computations (85.5% saved)

prune44.0ms (0.6%)

Memory

6.0MiB live, 50.6MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	976	7	983
Fresh	2	8	10
Picked	3	2	5
Done	0	1	1
Total	981	18	999

Accuracy

100.0%

Counts

999 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
▶	55.6%	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) y)
	91.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
▶	55.7%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( z z) 1) (.f64 z z)) (.f64 y x)))
▶	98.9%	(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x z) z x) (neg.f64 y)))
	59.0%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 y z)))
✓	52.7%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))
	55.5%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) x) y)))
	54.6%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y z) z) x)))
▶	60.5%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x z) y) z)))
	59.0%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 x z))))
	68.8%	#s(approx (/ (/ 1 x) (* y (/ (+ -1 (pow z 4)) (+ (* z z) -1)))) (/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) y) (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) x)))
	33.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 z) z) y) x (.f64 x (pow.f64 y #s(literal -1 binary64)))) (*.f64 x x)))
	29.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y x) (.f64 (neg.f64 y) (.f64 (neg.f64 z) z))) (.f64 (neg.f64 y) (*.f64 y x))))
	50.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (neg.f64 y) x)))
✓	56.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
▶	56.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x))
✓	56.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 677 to 498 computations (26.4% saved)

simplify155.0ms (2%)

Memory

11.6MiB live, 55.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	244
0	59	244
1	113	237
2	278	236
3	823	236
4	1812	236
5	2623	236
6	3697	236
7	4309	236
8	4490	236
9	5253	236
0	8619	233

Stop Event

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

Calls

Call 1

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

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

localize405.0ms (5.1%)

Memory

-22.6MiB live, 130.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24863663807890649	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))
accuracy	0.3364161097188569	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) y)
accuracy	6.473357548282015	(.f64 (.f64 z z) x)
accuracy	29.705220771401798	#s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)))
accuracy	0.0	(*.f64 y x)
accuracy	0.4659531863538546	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( z z) 1) (.f64 z z)) (.f64 y x)))
accuracy	3.8925255925375866	(.f64 #s(approx (+ ( z z) 1) (.f64 z z)) (.f64 y x))
accuracy	30.13277396210232	#s(approx (+ (* z z) 1) (*.f64 z z))
accuracy	0.18194123697150816	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x z) y) z))
accuracy	1.239601391467565	(.f64 (.f64 (*.f64 x z) y) z)
accuracy	4.3737972795209865	(.f64 (.f64 x z) y)
accuracy	25.416968096056827	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x z) y) z)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) y)
accuracy	1.068484634400676	(/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x)
accuracy	32.46706921606614	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x))
accuracy	32.67942063958881	#s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y))
accuracy	0.0	(neg.f64 y)
accuracy	0.078125	(fma.f64 (*.f64 x z) z x)
accuracy	0.2785045366257788	(.f64 (fma.f64 (.f64 x z) z x) (neg.f64 y))
accuracy	0.4659531863538546	(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x z) z x) (neg.f64 y)))

Samples

289.0ms

256×

valid

Compiler

Compiled 188 to 36 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

ival-div: 138.0ms (51.6% of total)

ival-mult: 111.0ms (41.5% of total)

ival-neg: 11.0ms (4.1% of total)

ival-add: 5.0ms (1.9% of total)

ival-pow: 3.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series95.0ms (1.2%)

Memory

-22.2MiB live, 72.0MiB allocated

Counts

22 → 53

Calls

Call 1

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

Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(* -1 (* x (* y (+ 1 (pow z 2)))))
(* x (+ 1 (pow z 2)))
(* x z)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ 1 (* x (* y (pow z 2))))
(* x (* y (pow z 2)))
(* x (* y z))
(* x (* y (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (pow z 2)))
(* x (pow z 2))
(* x y)
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(* x (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* x (- (* -1 (pow z 2)) 1)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(* -1 (* y (+ x (* x (pow z 2)))))
(/ (+ 1 (* -1 (pow z 2))) y)
(/ 1 y)
(* -1 y)
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2)))))
x
(+ x (* x (pow z 2)))
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ (* x y) (* x (* y (pow z 2))))
1
(+ 1 (pow z 2))
(pow z 2)
(/ 1 x)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* -1 (* x (* y (pow z 2))))
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* -1 (/ (pow z 2) (* x y)))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	z	@	-inf	((/ -1 (* (+ (* (* x z) z) x) (neg y))) (* (+ (* (* x z) z) x) (neg y)) (+ (* (* x z) z) x) (* x z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (/ 1 y) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* x z) y) z)) (* (* (* x z) y) z) (* (* x z) y) (/ 1 (* (+ (* z z) 1) (* y x))) (* (+ (* z z) 1) (* y x)) (+ (* z z) 1) (* z z) (/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (/ 1 (* (* z z) x)) (* (* z z) x) (neg y) (* y x))
32.0ms	x	@	inf	((/ -1 (* (+ (* (* x z) z) x) (neg y))) (* (+ (* (* x z) z) x) (neg y)) (+ (* (* x z) z) x) (* x z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (/ 1 y) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* x z) y) z)) (* (* (* x z) y) z) (* (* x z) y) (/ 1 (* (+ (* z z) 1) (* y x))) (* (+ (* z z) 1) (* y x)) (+ (* z z) 1) (* z z) (/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (/ 1 (* (* z z) x)) (* (* z z) x) (neg y) (* y x))
6.0ms	x	@	-inf	((/ -1 (* (+ (* (* x z) z) x) (neg y))) (* (+ (* (* x z) z) x) (neg y)) (+ (* (* x z) z) x) (* x z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (/ 1 y) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* x z) y) z)) (* (* (* x z) y) z) (* (* x z) y) (/ 1 (* (+ (* z z) 1) (* y x))) (* (+ (* z z) 1) (* y x)) (+ (* z z) 1) (* z z) (/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (/ 1 (* (* z z) x)) (* (* z z) x) (neg y) (* y x))
5.0ms	y	@	-inf	((/ -1 (* (+ (* (* x z) z) x) (neg y))) (* (+ (* (* x z) z) x) (neg y)) (+ (* (* x z) z) x) (* x z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (/ 1 y) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* x z) y) z)) (* (* (* x z) y) z) (* (* x z) y) (/ 1 (* (+ (* z z) 1) (* y x))) (* (+ (* z z) 1) (* y x)) (+ (* z z) 1) (* z z) (/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (/ 1 (* (* z z) x)) (* (* z z) x) (neg y) (* y x))
4.0ms	x	@	0	((/ -1 (* (+ (* (* x z) z) x) (neg y))) (* (+ (* (* x z) z) x) (neg y)) (+ (* (* x z) z) x) (* x z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (/ 1 y) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* x z) y) z)) (* (* (* x z) y) z) (* (* x z) y) (/ 1 (* (+ (* z z) 1) (* y x))) (* (+ (* z z) 1) (* y x)) (+ (* z z) 1) (* z z) (/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (/ 1 (* (* z z) x)) (* (* z z) x) (neg y) (* y x))

simplify167.0ms (2.1%)

Memory

28.3MiB live, 82.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	575
1	318	564
2	957	530
3	4517	526
0	8126	513

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 52

Calls

Call 1

Inputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(* -1 (* x (* y (+ 1 (pow z 2)))))
(* x (+ 1 (pow z 2)))
(* x z)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ 1 (* x (* y (pow z 2))))
(* x (* y (pow z 2)))
(* x (* y z))
(* x (* y (+ 1 (pow z 2))))
(/ 1 (* x (+ 1 (pow z 2))))
(/ 1 (* x (pow z 2)))
(* x (pow z 2))
(* x y)
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(* x (* y (- (* -1 (pow z 2)) 1)))
(* -1 (* x (- (* -1 (pow z 2)) 1)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(* -1 (* y (+ x (* x (pow z 2)))))
(/ (+ 1 (* -1 (pow z 2))) y)
(/ 1 y)
(* -1 y)
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2)))))
x
(+ x (* x (pow z 2)))
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ (* x y) (* x (* y (pow z 2))))
1
(+ 1 (pow z 2))
(pow z 2)
(/ 1 x)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(* -1 (* x (* y (pow z 2))))
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* -1 (/ (pow z 2) (* x y)))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))

Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(* -1 (* x (* y (+ 1 (pow z 2)))))
(.f64 (.f64 (fma.f64 (neg.f64 z) z #s(literal -1 binary64)) y) x)
(* x (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(* x z)
(*.f64 z x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) y)
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))
(* x (* y (pow z 2)))
(.f64 (.f64 (*.f64 z z) y) x)
(* x (* y z))
(.f64 (.f64 y z) x)
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(/ 1 (* x (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) z))
(* x (pow z 2))
(.f64 (.f64 z x) z)
(* x y)
(*.f64 y x)
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 (neg.f64 z) z #s(literal -1 binary64)) y) x))
(* x (* y (- (* -1 (pow z 2)) 1)))
(.f64 (.f64 (fma.f64 (neg.f64 z) z #s(literal -1 binary64)) y) x)
(* -1 (* x (- (* -1 (pow z 2)) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 z) z) #s(literal 1 binary64)))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(* -1 (* y (+ x (* x (pow z 2)))))
(.f64 (.f64 (fma.f64 (neg.f64 z) z #s(literal -1 binary64)) y) x)
(/ (+ 1 (* -1 (pow z 2))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) y)
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (/.f64 (fma.f64 z z (neg.f64 (pow.f64 z #s(literal 4 binary64)))) y) x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (-.f64 (/.f64 (/.f64 (fma.f64 z z (neg.f64 (pow.f64 z #s(literal 4 binary64)))) y) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 z z) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(+ (* -1 (* x y)) (* -1 (* x (* y (pow z 2)))))
(.f64 (.f64 (fma.f64 (neg.f64 z) z #s(literal -1 binary64)) y) x)
x
(+ x (* x (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(+ (* x y) (* x (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
1
#s(literal 1 binary64)
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
(pow z 2)
(*.f64 z z)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x)
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (pow.f64 z #s(literal 4 binary64)))) x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(fma.f64 (-.f64 (/.f64 (fma.f64 z z (neg.f64 (pow.f64 z #s(literal 4 binary64)))) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 z z) (/.f64 #s(literal 1 binary64) x))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x))) (.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) y) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z z))) (.f64 y x))) (*.f64 z z))
(* -1 (* x (* y (pow z 2))))
(.f64 (.f64 (neg.f64 z) y) (*.f64 z x))
(* (pow z 2) (+ (* -1 (* x y)) (* -1 (/ (* x y) (pow z 2)))))
(.f64 (.f64 (fma.f64 (neg.f64 z) z #s(literal -1 binary64)) y) x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(* -1 (/ (pow z 2) (* x y)))
(*.f64 (/.f64 (/.f64 (neg.f64 z) x) y) z)
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 z z))
(* -1 (/ (pow z 2) y))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 z z))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) z))) (*.f64 z z))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) z))) (*.f64 z z))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z z))) x)) (.f64 z z))

rewrite192.0ms (2.4%)

Memory

-17.8MiB live, 116.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	219
0	59	219
1	199	205
2	1158	205
0	9141	198

Stop Event

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

Counts

22 → 450

Calls

Call 1

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

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

eval112.0ms (1.4%)

Memory: 30.6MiB live, 135.4MiB allocated
Compiler: Compiled 11 478 to 1 662 computations (85.5% saved)

prune33.0ms (0.4%)

Memory

2.4MiB live, 47.8MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	509	4	513
Fresh	3	7	10
Picked	1	4	5
Done	0	3	3
Total	513	18	531

Accuracy

100.0%

Counts

531 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.2%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	55.6%	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) y)
	91.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
	55.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y))
✓	55.7%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( z z) 1) (.f64 z z)) (.f64 y x)))
	98.9%	(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 z x) z x)))
	59.0%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 y z)))
✓	52.7%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))
	59.4%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y z) x) z)))
✓	60.5%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x z) y) z)))
	59.0%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) (*.f64 y z))))
	68.8%	#s(approx (/ (/ 1 x) (* y (/ (+ -1 (pow z 4)) (+ (* z z) -1)))) (/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) y) (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) x)))
	33.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 z) z) y) x (.f64 x (pow.f64 y #s(literal -1 binary64)))) (*.f64 x x)))
	29.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y x) (.f64 (neg.f64 y) (.f64 (neg.f64 z) z))) (.f64 (neg.f64 y) (*.f64 y x))))
	50.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (neg.f64 y) x)))
✓	56.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	56.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x))
✓	56.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 1 066 to 435 computations (59.2% saved)

regimes130.0ms (1.6%)

Memory

-5.6MiB live, 139.3MiB allocated

Counts

38 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 z x) z x)))

Calls

8 calls:

37.0ms	x
28.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
18.0ms	z
10.0ms	y
10.0ms	(/.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
98.9%	1	`(*.f64 z z)`
98.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.9%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.9%	1	`(/.f64 #s(literal 1 binary64) x)`
98.9%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
98.9%	1	`x`
98.9%	1	`y`
98.9%	1	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes34.0ms (0.4%)

Memory

-17.0MiB live, 77.4MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

8 calls:

6.0ms	x
5.0ms	z
4.0ms	(/.f64 #s(literal 1 binary64) x)
4.0ms	y
4.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
70.9%	5	`(/.f64 #s(literal 1 binary64) x)`
80.4%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
70.9%	5	`x`
67.1%	2	`y`
98.1%	2	`(*.f64 z z)`
98.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
83.8%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.1%	2	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	z
2.0ms	(*.f64 z z)
2.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
97.7%	2	`(*.f64 z z)`
97.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.7%	2	`z`

Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes8.0ms (0.1%)

Memory

-35.4MiB live, 14.3MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
2.0ms	z
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
91.4%	2	`(*.f64 z z)`
91.4%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
91.4%	2	`z`

Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes14.0ms (0.2%)

Memory

31.0MiB live, 31.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

2.0ms	y
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	x
2.0ms	z
2.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
56.5%	1	`(/.f64 #s(literal 1 binary64) x)`
56.5%	1	`x`
56.5%	1	`y`
56.5%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
56.5%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
56.5%	1	`(*.f64 z z)`
56.5%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
56.5%	1	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes11.0ms (0.1%)

Memory

-18.8MiB live, 28.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

8 calls:

2.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
1.0ms	(/.f64 #s(literal 1 binary64) x)
1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
56.5%	1	`(*.f64 z z)`
56.5%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
56.5%	1	`z`
56.5%	1	`x`
56.5%	1	`y`
56.5%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
56.5%	1	`(/.f64 #s(literal 1 binary64) x)`
56.5%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

24.6MiB live, 24.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

1.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) x)
1.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
56.5%	1	`(*.f64 z z)`
56.5%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
56.5%	1	`z`
56.5%	1	`x`
56.5%	1	`(/.f64 #s(literal 1 binary64) x)`
56.5%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
56.5%	1	`y`
56.5%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch23.0ms (0.3%)

Memory

-11.2MiB live, 35.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.0011732313917588507	23.247402891009155

Samples

13.0ms

128×

valid

Compiler

Compiled 318 to 263 computations (17.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (48% of total)

ival-mult: 3.0ms (36% of total)

ival-add: 1.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0011732313917588507	23.247402891009155

Compiler

Compiled 318 to 263 computations (17.3% saved)

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0011732313917588507	23.247402891009155

Compiler

Compiled 318 to 255 computations (19.8% saved)

simplify109.0ms (1.4%)

Memory

-25.0MiB live, 74.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	196
1	83	195
2	170	195
3	464	195
4	1172	195
5	1888	195
6	2537	195
7	3067	195
8	3135	195
9	3170	195
10	3281	195
11	4320	195
12	7378	195

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 z x) z x)))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) #s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x z) y) z))))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) #s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 x z)))))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Outputs
(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 z x) z x)))
(pow.f64 (.f64 y (fma.f64 (.f64 z x) z x)) #s(literal -1 binary64))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) #s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x z) y) z))))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) y)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (.f64 (.f64 (*.f64 x z) y) z) #s(literal -1 binary64))))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) #s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y z) (*.f64 x z)))))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) y)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (.f64 (.f64 y z) (*.f64 x z)) #s(literal -1 binary64))))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) y)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (.f64 (.f64 (*.f64 z z) y) x) #s(literal -1 binary64))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (pow.f64 y #s(literal -1 binary64))) x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))

soundness1.2s (15.1%)

Memory

53.6MiB live, 913.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	160
0	53	158
1	176	157
2	933	153
0	8068	153
0	119	667
1	296	646
2	819	599
3	3727	593
0	8455	572
0	9	29
0	14	29
1	58	29
2	376	29
3	3126	29
0	8640	26
0	40	219
0	59	219
1	199	205
2	1158	205
0	9141	198
0	33	164
0	54	148
1	202	142
2	1284	139
0	9056	139
0	52	227
1	131	219
2	414	207
3	1898	197
4	7530	197
0	8068	190

Stop Event

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

Compiler

Compiled 434 to 229 computations (47.2% saved)

preprocess1.0s (13%)

Memory: -90.5MiB live, 991.1MiB allocated
Remove: (abs z)
Compiler: Compiled 1 220 to 710 computations (41.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze129.0ms (1.6%)

sample1.2s (14.8%)

explain124.0ms (1.6%)

preprocess213.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify57.0ms (0.7%)

localize39.0ms (0.5%)

series11.0ms (0.1%)

simplify147.0ms (1.9%)

rewrite219.0ms (2.8%)

eval102.0ms (1.3%)

prune14.0ms (0.2%)

simplify130.0ms (1.7%)

localize131.0ms (1.7%)

series106.0ms (1.3%)

simplify162.0ms (2.1%)

rewrite260.0ms (3.3%)

eval278.0ms (3.5%)

prune60.0ms (0.8%)

simplify93.0ms (1.2%)

localize118.0ms (1.5%)

series28.0ms (0.4%)

simplify147.0ms (1.9%)

rewrite182.0ms (2.3%)

eval205.0ms (2.6%)

prune44.0ms (0.6%)

simplify155.0ms (2%)

localize405.0ms (5.1%)

series95.0ms (1.2%)

simplify167.0ms (2.1%)

rewrite192.0ms (2.4%)

eval112.0ms (1.4%)

prune33.0ms (0.4%)

regimes130.0ms (1.6%)

regimes34.0ms (0.4%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch23.0ms (0.3%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

simplify109.0ms (1.4%)

soundness1.2s (15.1%)

preprocess1.0s (13%)

end0.0ms (0%)

Profiling