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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze88.0ms (1.2%)

Memory

10.1MiB live, 95.3MiB 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 (16%)

Memory

-32.5MiB live, 1 251.6MiB allocated

Samples

773.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 457.0ms

ival-div: 228.0ms (49.9% of total)

ival-mult: 154.0ms (33.7% of total)

ival-add: 59.0ms (12.9% of total)

ival-true: 7.0ms (1.5% of total)

exact: 6.0ms (1.3% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain111.0ms (1.5%)

Memory

3.2MiB live, 162.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
17	0	-	-	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
15	1	(5.046244238105247e-299 -2480252221051.6343 3.963783881047023e+304)	-	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	0	-	-	`z`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
0	0	-	-	`(*.f64 z z)`
0	0	-	-	`y`
0	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**	17	0
`/.f64`	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	16	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	63
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	66
↳	`(*.f64 z z)`	overflow	66

Confusion

	Predicted +	Predicted -
+	25	0
-	8	223

Precision

0.7575757575757576

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	25	0	0
-	8	0	223

Precision?

0.7575757575757576

Recall?

1.0

Freqs

test

number	freq
0	223
1	33

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

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 (42.3% of total)

ival-mult: 7.0ms (42.3% of total)

ival-add: 2.0ms (12.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess229.0ms (3.1%)

Memory

17.5MiB live, 90.6MiB 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: 0.1MiB live, 0.1MiB 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
▶	88.9%	(/.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)

simplify47.0ms (0.6%)

Memory

-3.3MiB live, 33.2MiB 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

localize68.0ms (0.9%)

Memory

-6.5MiB live, 38.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) (*.f64 z z))
accuracy	0.0	(*.f64 z z)
accuracy	1.1711007419209518	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
accuracy	5.884054374882438	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

63.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 40.0ms (89.6% of total)

ival-mult: 3.0ms (6.7% of total)

ival-add: 1.0ms (2.2% 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

19.0MiB live, 19.0MiB 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))
1.0ms	x	@	-inf	((+ 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))
1.0ms	y	@	0	((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z))

simplify149.0ms (2%)

Memory

-8.8MiB live, 147.6MiB 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)

rewrite167.0ms (2.2%)

Memory

-17.2MiB live, 184.8MiB 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))))

eval42.0ms (0.6%)

Memory: 36.1MiB live, 108.7MiB allocated
Compiler: Compiled 9 958 to 1 322 computations (86.7% saved)

prune28.0ms (0.4%)

Memory

-22.3MiB live, 25.9MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	354	11	365
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	355	11	366

Accuracy

93.7%

Counts

366 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.2%	(pow.f64 (.f64 (.f64 (fma.f64 y (.f64 z z) y) x) (.f64 (fma.f64 y (*.f64 z z) y) x)) #s(literal -1/2 binary64))
	88.7%	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
▶	91.6%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
	90.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
▶	44.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
▶	88.7%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
	88.7%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 y (.f64 z z) y)))
	54.6%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
▶	60.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
▶	37.9%	#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)))
	44.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))

Compiler

Compiled 368 to 262 computations (28.8% saved)

simplify227.0ms (3.1%)

Memory

4.8MiB live, 79.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	238
0	48	235
1	97	235
2	241	233
3	725	233
4	2367	233
5	3954	233
6	4676	233
7	4714	233
8	4728	233
9	4734	233
10	4734	233
11	4879	233
12	4919	233
13	4932	233
14	4932	233
15	4932	233
16	7387	233
17	7632	233
18	7632	233
19	7754	233
20	7754	233
21	7754	233
0	8075	233

Stop Event

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

Calls

Call 1

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

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

localize135.0ms (1.8%)

Memory

-14.4MiB live, 144.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	6.900047001497827	(.f64 (.f64 (*.f64 z z) y) x)
accuracy	6.932057803190405	(/.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))
accuracy	7.811813821219621	(.f64 (.f64 z z) y)
accuracy	33.49008463577194	#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)))
accuracy	0.0	(*.f64 z z)
accuracy	5.884054374882438	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
accuracy	7.811813821219621	(.f64 (.f64 z z) y)
accuracy	33.01655971969746	#s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y))
accuracy	0.0	(*.f64 z z)
accuracy	0.47213097742155413	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
accuracy	1.1671944919209518	(fma.f64 y (*.f64 z z) y)
accuracy	5.63566408439867	(.f64 (fma.f64 y (.f64 z z) y) x)
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.21875	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy	25.37035466375557	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.0	(neg.f64 y)
accuracy	1.089930246262101	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
accuracy	7.440676122825832	(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))

Samples

95.0ms

256×

valid

Compiler

Compiled 208 to 27 computations (87% saved)

Precisions

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

ival-div: 32.0ms (68.5% of total)

ival-mult: 8.0ms (17.1% of total)

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

ival-sub: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series62.0ms (0.8%)

Memory

27.8MiB live, 65.5MiB allocated

Counts

19 → 52

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	y	@	inf	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* z z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y (+ 1 (* z z))) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (neg y) (* (* (* z z) y) x))
8.0ms	y	@	-inf	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* z z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y (+ 1 (* z z))) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (neg y) (* (* (* z z) y) x))
6.0ms	x	@	0	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* z z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y (+ 1 (* z z))) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (neg y) (* (* (* z z) y) x))
4.0ms	x	@	-inf	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* z z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y (+ 1 (* z z))) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (neg y) (* (* (* z z) y) x))
3.0ms	x	@	inf	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* z z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y (+ 1 (* z z))) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (neg y) (* (* (* z z) y) x))

simplify180.0ms (2.4%)

Memory

-3.1MiB live, 144.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	641
1	312	627
2	884	593
3	4247	590
0	8171	576

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

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

rewrite231.0ms (3.1%)

Memory

6.6MiB live, 256.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	187
0	48	184
1	178	182
2	1302	164
0	8326	164

Stop Event

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

Counts

19 → 498

Calls

Call 1

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

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

eval70.0ms (0.9%)

Memory: -4.5MiB live, 153.7MiB allocated
Compiler: Compiled 18 029 to 2 466 computations (86.3% saved)

prune56.0ms (0.7%)

Memory

-3.0MiB live, 72.5MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	606	13	619
Fresh	3	3	6
Picked	2	3	5
Done	0	0	0
Total	611	19	630

Accuracy

100.0%

Counts

630 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.2%	(pow.f64 (.f64 (.f64 (fma.f64 y (.f64 z z) y) x) (.f64 (fma.f64 y (*.f64 z z) y) x)) #s(literal -1/2 binary64))
✓	91.6%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
▶	90.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	44.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
	46.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 y z) z)))
▶	96.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (*.f64 y x)))
	94.7%	(/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 y x)) (*.f64 y x)))
	29.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 y y) (pow.f64 z #s(literal 4 binary64)) (.f64 (neg.f64 y) y)) x) (-.f64 (.f64 (*.f64 z z) y) y)))
	90.5%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))
	89.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (fma.f64 z z #s(literal 1 binary64))))
	44.3%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx ( y (+ 1 (* z z))) (.f64 (.f64 z z) y)) x))
▶	60.0%	(/.f64 #s(literal 1 binary64) #s(approx (* (+ (* y (* z z)) y) x) (*.f64 y x)))
	88.7%	(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 y (.f64 z z) y)))
▶	54.6%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
	47.0%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) y))
▶	45.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (*.f64 y x)) z) z))
✓	60.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
	44.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 z) y)) z)))
	89.7%	#s(approx (/ 1 (* (+ (* y (* z z)) y) x)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64))))

Compiler

Compiled 649 to 454 computations (30% saved)

simplify120.0ms (1.6%)

Memory

10.8MiB live, 131.6MiB 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 -2 binary64))) (*.f64 y x))
cost-diff	0	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (*.f64 y x)) z)
cost-diff	0	(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (*.f64 y x)) z) z)
cost-diff	0	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (*.f64 y x)) z) z))
cost-diff	0	(*.f64 y z)
cost-diff	0	(fma.f64 (*.f64 y z) z y)
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z 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) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* (+ (* y (* z z)) y) x) (*.f64 y x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (+ (* y (* z z)) y) x) (*.f64 y x)))
cost-diff	0	(*.f64 z x)
cost-diff	0	(*.f64 y z)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (*.f64 y x)))
cost-diff	2	(fma.f64 (.f64 y z) (.f64 z x) (*.f64 y x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	218
0	61	218
1	118	210
2	286	209
3	810	209
4	2279	209
5	4173	209
6	5313	209
7	6126	209
8	7250	209
0	8074	209

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (2.3%)

Memory

-27.1MiB live, 179.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.7870527805790853	(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (*.f64 y x)) z) z)
accuracy	2.3874683992273695	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (*.f64 y x)) z)
accuracy	7.626873844451535	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (*.f64 y x))
accuracy	33.49008463577194	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (*.f64 y x)) z) z))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(*.f64 y z)
accuracy	0.01953125	(fma.f64 (*.f64 y z) z y)
accuracy	5.884054374882438	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
accuracy	0.0	(neg.f64 z)
accuracy	0.39516991243518607	(/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x)
accuracy	6.606381222508874	(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y)
accuracy	28.933526491275796	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
accuracy	0.0	(*.f64 y x)
accuracy	0.47213097742155413	(/.f64 #s(literal 1 binary64) #s(approx (* (+ (* y (* z z)) y) x) (*.f64 y x)))
accuracy	25.37033362612056	#s(approx (* (+ (* y (* z z)) y) x) (*.f64 y x))
accuracy	0.0	(*.f64 y z)
accuracy	0.0	(*.f64 y x)
accuracy	0.47213097742155413	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (*.f64 y x)))
accuracy	1.6550781986022165	(fma.f64 (.f64 y z) (.f64 z x) (*.f64 y x))

Samples

148.0ms

256×

valid

Compiler

Compiled 195 to 41 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-div: 66.0ms (51.9% of total)

ival-add: 40.0ms (31.5% of total)

ival-mult: 14.0ms (11% of total)

ival-pow: 3.0ms (2.4% of total)

ival-neg: 2.0ms (1.6% of total)

ival-sub: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.7%)

Memory

19.6MiB live, 66.7MiB allocated

Counts

19 → 59

Calls

Call 1

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

Outputs
(* x (+ y (* y (pow z 2))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(* x z)
(* x y)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ 1 x)
(/ (- 1 (/ 1 (pow z 2))) (* x (* y (pow z 2))))
(/ (- 1 (/ 1 (pow z 2))) (* x (* y z)))
(/ (- 1 (/ 1 (pow z 2))) (* x y))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(* y (+ x (* x (pow z 2))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(* y z)
(* x (* y (+ 1 (pow z 2))))
(/ (+ 1 (* -1 (pow z 2))) y)
(* y (+ 1 (pow z 2)))
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(* -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(+ (* x y) (* x (* y (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)))
(/ 1 y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
1
(+ 1 (* -1 (pow z 2)))
y
(+ y (* y (pow z 2)))
(/ -1 (* x (* y (pow z 4))))
(/ (- (/ (pow z 2) (* x y)) (/ 1 (* x y))) (pow z 4))
(/ -1 (* x (* y (pow z 3))))
(/ (- (/ (pow z 2) (* x y)) (/ 1 (* x y))) (pow z 3))
(/ -1 (* x (* y (pow z 2))))
(/ (- (/ (pow z 2) (* x y)) (/ 1 (* x y))) (pow z 2))
(* -1 z)
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (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))
(* -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))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(/ 1 (* x (* y z)))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) z)
(- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2)))))
(* -1 (/ (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))) z))

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	z	@	0	((+ (* (* y z) (* z x)) (* y x)) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (* y z) (* z x) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (* y x) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/ (/ (- 1 (pow z -2)) (* y x)) z) (/ (- 1 (pow z -2)) (* y x)) (neg z))
8.0ms	y	@	0	((+ (* (* y z) (* z x)) (* y x)) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (* y z) (* z x) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (* y x) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/ (/ (- 1 (pow z -2)) (* y x)) z) (/ (- 1 (pow z -2)) (* y x)) (neg z))
6.0ms	y	@	-inf	((+ (* (* y z) (* z x)) (* y x)) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (* y z) (* z x) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (* y x) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/ (/ (- 1 (pow z -2)) (* y x)) z) (/ (- 1 (pow z -2)) (* y x)) (neg z))
6.0ms	x	@	-inf	((+ (* (* y z) (* z x)) (* y x)) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (* y z) (* z x) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (* y x) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/ (/ (- 1 (pow z -2)) (* y x)) z) (/ (- 1 (pow z -2)) (* y x)) (neg z))
5.0ms	x	@	0	((+ (* (* y z) (* z x)) (* y x)) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (* y z) (* z x) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (* y x) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/ (/ (- 1 (pow z -2)) (* y x)) z) (/ (- 1 (pow z -2)) (* y x)) (neg z))

simplify140.0ms (1.9%)

Memory

10.3MiB live, 87.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	628
1	324	612
2	911	604
3	3742	595
0	8208	578

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

Calls

Call 1

Inputs
(* x (+ y (* y (pow z 2))))
(/ 1 (* x (+ y (* y (pow z 2)))))
(* x z)
(* x y)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ 1 x)
(/ (- 1 (/ 1 (pow z 2))) (* x (* y (pow z 2))))
(/ (- 1 (/ 1 (pow z 2))) (* x (* y z)))
(/ (- 1 (/ 1 (pow z 2))) (* x y))
(* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))
(* y (+ x (* x (pow z 2))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(* y z)
(* x (* y (+ 1 (pow z 2))))
(/ (+ 1 (* -1 (pow z 2))) y)
(* y (+ 1 (pow z 2)))
(* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(* -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(+ (* x y) (* x (* y (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)))
(/ 1 y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
1
(+ 1 (* -1 (pow z 2)))
y
(+ y (* y (pow z 2)))
(/ -1 (* x (* y (pow z 4))))
(/ (- (/ (pow z 2) (* x y)) (/ 1 (* x y))) (pow z 4))
(/ -1 (* x (* y (pow z 3))))
(/ (- (/ (pow z 2) (* x y)) (/ 1 (* x y))) (pow z 3))
(/ -1 (* x (* y (pow z 2))))
(/ (- (/ (pow z 2) (* x y)) (/ 1 (* x y))) (pow z 2))
(* -1 z)
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (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))
(* -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))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(/ 1 (* x (* y z)))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) z)
(- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2)))))
(* -1 (/ (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))) z))

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

rewrite329.0ms (4.4%)

Memory

-9.3MiB live, 147.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	181
0	61	181
1	239	172
2	1507	172
0	8569	168

Stop Event

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

Counts

19 → 671

Calls

Call 1

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

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

eval345.0ms (4.6%)

Memory: -6.8MiB live, 73.7MiB allocated
Compiler: Compiled 20 803 to 2 629 computations (87.4% saved)

prune110.0ms (1.5%)

Memory

-7.5MiB live, 31.7MiB allocated

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	640	9	649
Fresh	5	6	11
Picked	2	3	5
Done	0	3	3
Total	647	21	668

Accuracy

100.0%

Counts

668 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.6%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
✓	90.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	44.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
▶	46.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 y z) z)))
✓	96.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (*.f64 y x)))
▶	94.7%	(/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 (.f64 x y) z) (*.f64 x y)))
	90.5%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))
▶	89.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (fma.f64 z z #s(literal 1 binary64))))
	44.3%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx ( y (+ 1 (* z z))) (.f64 (.f64 z z) y)) x))
▶	65.6%	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (.f64 (.f64 x (.f64 (+.f64 (/.f64 y (.f64 z z)) y) z)) z)))
✓	60.0%	(/.f64 #s(literal 1 binary64) #s(approx (* (+ (* y (* z z)) y) x) (*.f64 y x)))
	22.3%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (.f64 (neg.f64 x) y) (.f64 (.f64 x y) #s(literal -1 binary64))) (.f64 (.f64 x y) (*.f64 (neg.f64 x) y))))
	56.6%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (neg.f64 x) y)))
▶	60.2%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(approx (+ (* (neg z) z) 1) #s(literal 1 binary64)) y) x))
	47.0%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) y))
	19.3%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) #s(approx (/ (/ (+ (* (neg z) z) 1) y) x) (.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))))
	43.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(approx (/ (- 1 (pow z -2)) (* y x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)) z) z))
✓	60.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
	58.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (/ (- 1 (pow z -2)) (* y x)) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z)) z))
	44.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) z) (.f64 (*.f64 z y) x))))
	89.7%	#s(approx (/ 1 (* (+ (* y (* z z)) y) x)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64))))

Compiler

Compiled 834 to 582 computations (30.2% saved)

simplify184.0ms (2.5%)

Memory

12.2MiB live, 47.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (* y z) (* z x)) (* y x)) (.f64 (.f64 x (.f64 (+.f64 (/.f64 y (.f64 z z)) y) z)) z))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (.f64 (.f64 x (.f64 (+.f64 (/.f64 y (.f64 z z)) y) z)) z)))
cost-diff	2	(.f64 (.f64 x (.f64 (+.f64 (/.f64 y (.f64 z z)) y) z)) z)
cost-diff	3	(.f64 (+.f64 (/.f64 y (.f64 z z)) y) z)
cost-diff	0	(.f64 (.f64 y z) z)
cost-diff	0	#s(approx (* y (+ 1 (* z z))) (.f64 (.f64 y z) z))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 y z) z)))
cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) (fma.f64 z z #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (fma.f64 z z #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ (* (neg z) z) 1) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* (neg z) z) 1) #s(literal 1 binary64)) y)
cost-diff	0	(/.f64 (/.f64 #s(approx (+ (* (neg z) z) 1) #s(literal 1 binary64)) y) x)
cost-diff	0	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(approx (+ (* (neg z) z) 1) #s(literal 1 binary64)) y) x))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) z)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 (.f64 x y) z) (*.f64 x y)))
cost-diff	2	(fma.f64 z (.f64 (.f64 x y) z) (*.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	269
0	68	268
1	139	248
2	315	247
3	876	247
4	2555	233
5	5698	233
0	8445	231

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (1.5%)

Memory

-0.8MiB live, 37.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.3754555563135895	(.f64 (.f64 x (.f64 (+.f64 (/.f64 y (.f64 z z)) y) z)) z)
accuracy	7.493907675192247	(.f64 (+.f64 (/.f64 y (.f64 z z)) y) z)
accuracy	8.333031034521566	(/.f64 y (*.f64 z z))
accuracy	9.812339907464848	(.f64 x (.f64 (+.f64 (/.f64 y (*.f64 z z)) y) z))
accuracy	0.0	(*.f64 y z)
accuracy	0.10546875	(.f64 (.f64 y z) z)
accuracy	5.884054374882438	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 y z) z)))
accuracy	33.01655971969746	#s(approx (* y (+ 1 (* z z))) (.f64 (.f64 y z) z))
accuracy	0.0	(fma.f64 z z #s(literal 1 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	0.47213097742155413	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (fma.f64 z z #s(literal 1 binary64))))
accuracy	6.426835029361216	(.f64 (.f64 y x) (fma.f64 z z #s(literal 1 binary64)))
accuracy	0.39516991243518607	(/.f64 (/.f64 #s(approx (+ (* (neg z) z) 1) #s(literal 1 binary64)) y) x)
accuracy	6.606381222508874	(/.f64 #s(approx (+ (* (neg z) z) 1) #s(literal 1 binary64)) y)
accuracy	28.933526491275796	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(approx (+ (* (neg z) z) 1) #s(literal 1 binary64)) y) x))
accuracy	29.943547342472684	#s(approx (+ (* (neg z) z) 1) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	0.47213097742155413	(/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 (.f64 x y) z) (*.f64 x y)))
accuracy	0.6725890930425468	(fma.f64 z (.f64 (.f64 x y) z) (*.f64 x y))
accuracy	6.7435760154706355	(.f64 (.f64 x y) z)

Samples

61.0ms

256×

valid

Compiler

Compiled 218 to 41 computations (81.2% saved)

Precisions

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

ival-mult: 20.0ms (45.3% of total)

ival-div: 16.0ms (36.2% of total)

ival-add: 6.0ms (13.6% of total)

ival-neg: 2.0ms (4.5% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.5%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

23 → 59

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((+ (* z (* (* x y) z)) (* x y)) (/ 1 (+ (* z (* (* x y) z)) (* x y))) (* (* x y) z) (* x y) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ 1 (* (* y x) (+ (* z z) 1))) (* (* y x) (+ (* z z) 1)) (* y x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* y z) z) (* (+ (/ y (* z z)) y) z) (* (* x (* (+ (/ y (* z z)) y) z)) z) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (+ (* (* y z) (* z x)) (* y x)) (* y z) (* x (* (+ (/ y (* z z)) y) z)) (/ y (* z z)))
5.0ms	x	@	-inf	((+ (* z (* (* x y) z)) (* x y)) (/ 1 (+ (* z (* (* x y) z)) (* x y))) (* (* x y) z) (* x y) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ 1 (* (* y x) (+ (* z z) 1))) (* (* y x) (+ (* z z) 1)) (* y x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* y z) z) (* (+ (/ y (* z z)) y) z) (* (* x (* (+ (/ y (* z z)) y) z)) z) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (+ (* (* y z) (* z x)) (* y x)) (* y z) (* x (* (+ (/ y (* z z)) y) z)) (/ y (* z z)))
5.0ms	y	@	inf	((+ (* z (* (* x y) z)) (* x y)) (/ 1 (+ (* z (* (* x y) z)) (* x y))) (* (* x y) z) (* x y) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ 1 (* (* y x) (+ (* z z) 1))) (* (* y x) (+ (* z z) 1)) (* y x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* y z) z) (* (+ (/ y (* z z)) y) z) (* (* x (* (+ (/ y (* z z)) y) z)) z) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (+ (* (* y z) (* z x)) (* y x)) (* y z) (* x (* (+ (/ y (* z z)) y) z)) (/ y (* z z)))
4.0ms	x	@	0	((+ (* z (* (* x y) z)) (* x y)) (/ 1 (+ (* z (* (* x y) z)) (* x y))) (* (* x y) z) (* x y) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ 1 (* (* y x) (+ (* z z) 1))) (* (* y x) (+ (* z z) 1)) (* y x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* y z) z) (* (+ (/ y (* z z)) y) z) (* (* x (* (+ (/ y (* z z)) y) z)) z) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (+ (* (* y z) (* z x)) (* y x)) (* y z) (* x (* (+ (/ y (* z z)) y) z)) (/ y (* z z)))
4.0ms	x	@	inf	((+ (* z (* (* x y) z)) (* x y)) (/ 1 (+ (* z (* (* x y) z)) (* x y))) (* (* x y) z) (* x y) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ 1 (* (* y x) (+ (* z z) 1))) (* (* y x) (+ (* z z) 1)) (* y x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* y z) z) (* (+ (/ y (* z z)) y) z) (* (* x (* (+ (/ y (* z z)) y) z)) z) (/ 1 (+ (* (* y z) (* z x)) (* y x))) (+ (* (* y z) (* z x)) (* y x)) (* y z) (* x (* (+ (/ y (* z z)) y) z)) (/ y (* z z)))

simplify147.0ms (2%)

Memory

-29.5MiB live, 27.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	564
1	357	558
2	1206	548
3	3792	538
0	8142	516

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

Calls

Call 1

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

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

rewrite320.0ms (4.3%)

Memory

-6.9MiB live, 149.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	240
0	68	242
1	243	223
2	1523	219
0	8521	219

Stop Event

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

Counts

23 → 680

Calls

Call 1

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

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

eval69.0ms (0.9%)

Memory: 9.5MiB live, 123.9MiB allocated
Compiler: Compiled 13 971 to 1 912 computations (86.3% saved)

prune23.0ms (0.3%)

Memory

15.6MiB live, 59.1MiB allocated

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	483	6	489
Fresh	4	6	10
Picked	2	3	5
Done	0	6	6
Total	489	21	510

Accuracy

100.0%

Counts

510 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.6%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
✓	90.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	44.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
✓	46.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 y z) z)))
✓	96.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (*.f64 y x)))
✓	94.7%	(/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 (.f64 x y) z) (*.f64 x y)))
	46.6%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(approx (+ (* z z) 1) (*.f64 z z))))
	46.2%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx ( y (+ 1 (* z z))) (.f64 (.f64 y z) z)) x))
	97.0%	(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 x z) z x)))
	65.1%	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (.f64 (.f64 (+.f64 (/.f64 y (.f64 z z)) y) z) (.f64 x z))))
	43.6%	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (.f64 (.f64 x #s(approx (* (+ (/ y (* z z)) y) z) (/.f64 y z))) z)))
	46.8%	(/.f64 #s(literal 1 binary64) #s(approx (+ (* z (* (* x y) z)) (* x y)) (.f64 (.f64 (*.f64 z z) x) y)))
✓	60.0%	(/.f64 #s(literal 1 binary64) #s(approx (* (+ (* y (* z z)) y) x) (*.f64 y x)))
	22.3%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (.f64 (neg.f64 x) y) (.f64 (.f64 x y) #s(literal -1 binary64))) (.f64 (.f64 x y) (*.f64 (neg.f64 x) y))))
	56.6%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (neg.f64 x) y)))
✓	60.2%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(approx (+ (* (neg z) z) 1) #s(literal 1 binary64)) y) x))
	47.0%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) y))
✓	60.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
	58.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (/ (- 1 (pow z -2)) (* y x)) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z)) z))
	44.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) z) (.f64 (*.f64 z y) x))))
	89.7%	#s(approx (/ 1 (* (+ (* y (* z z)) y) x)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64))))

Compiler

Compiled 1 286 to 518 computations (59.7% saved)

regimes88.0ms (1.2%)

Memory

-19.7MiB live, 178.3MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

13.0ms	z
12.0ms	x
12.0ms	(/.f64 #s(literal 1 binary64) x)
12.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
10.0ms	y

Results

Accuracy	Segments	Branch
97.0%	1	`x`
99.2%	2	`y`
99.2%	2	`z`
97.0%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
97.0%	1	`(/.f64 #s(literal 1 binary64) x)`
97.0%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.6%	2	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes21.0ms (0.3%)

Memory

4.5MiB live, 43.0MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

11.0ms	y
9.0ms	z

Results

Accuracy	Segments	Branch
99.2%	2	`y`
99.2%	2	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes18.0ms (0.2%)

Memory

-3.2MiB live, 35.3MiB allocated

Counts

27 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	y
7.0ms	z

Results

Accuracy	Segments	Branch
99.2%	2	`y`
99.2%	2	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes25.0ms (0.3%)

Memory

1.5MiB live, 46.9MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(*.f64 z z)
6.0ms	y
5.0ms	z
4.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
97.0%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.0%	1	`(*.f64 z z)`
97.0%	1	`z`
97.0%	1	`y`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes26.0ms (0.3%)

Memory

19.1MiB live, 58.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

8 calls:

5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	y
3.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
3.0ms	z

Results

Accuracy	Segments	Branch
92.9%	3	`z`
61.9%	2	`x`
74.7%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
61.9%	2	`(/.f64 #s(literal 1 binary64) x)`
80.0%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
92.9%	3	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
92.9%	3	`(*.f64 z z)`
62.1%	2	`y`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes9.0ms (0.1%)

Memory

-21.3MiB live, 17.7MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	z
2.0ms	(*.f64 z z)
2.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
91.0%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
91.0%	2	`(*.f64 z z)`
91.0%	2	`z`

Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes6.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
88.5%	2	`z`
88.5%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
88.5%	2	`(*.f64 z z)`

Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes19.0ms (0.3%)

Memory

-32.4MiB live, 49.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

4.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
2.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
60.2%	1	`(/.f64 #s(literal 1 binary64) x)`
60.2%	1	`x`
60.2%	1	`y`
60.2%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
60.2%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
60.2%	1	`z`
60.2%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
60.2%	1	`(*.f64 z z)`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes9.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

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
1.0ms	x

Results

Accuracy	Segments	Branch
60.0%	1	`y`
60.0%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
60.0%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
60.0%	1	`(/.f64 #s(literal 1 binary64) x)`
60.0%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
60.0%	1	`(*.f64 z z)`
60.0%	1	`x`
60.0%	1	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch14.0ms (0.2%)

Memory

-15.3MiB live, 23.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.443370883082956e+207	1.000618282329203e+209

Samples

6.0ms

112×

valid

Compiler

Compiled 434 to 274 computations (36.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (29.9% of total)

ival-mult: 1.0ms (29.9% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	2.2592253050104643e+203	9.214259074109825e+205

Samples

1.0ms

16×

valid

Compiler

Compiled 51 to 42 computations (17.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	1.500398280427977e-41	6.410877362086818e-41

Samples

4.0ms

80×

valid

Compiler

Compiled 124 to 110 computations (11.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (41.7% of total)

ival-mult: 1.0ms (41.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.3%)

Memory

-31.8MiB live, 45.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	5.0895476108694886e+154	1.8441708751867375e+156
10.0ms	1.8465436622616673e-5	5.878312547166043e-5

Samples

10.0ms

192×

valid

Compiler

Compiled 470 to 351 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (34.3% of total)

ival-mult: 2.0ms (34.3% of total)

ival-add: 1.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.8465436622616673e-5	5.878312547166043e-5

Compiler

Compiled 204 to 155 computations (24% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.409723496638731e-10	3.4554558402169733e-9

Compiler

Compiled 14 to 15 computations (-7.1% saved)

simplify70.0ms (0.9%)

Memory

21.7MiB live, 62.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	88	322
1	161	316
2	333	316
3	864	316
4	2503	315
5	4688	315
6	6248	313
7	7276	311

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 76000000000000004096522048288266325439653210889426361357376937137985366304730651014759565664156399680846312666418172046088987058069774374529230139432023894232535615490142424156869175003884756647403450965950464 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 x z) z x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 z) y)) z))))
(if (<=.f64 z #s(literal 399999999999999995507643150025317790603737839318199691990013939536117044729447467377770787784002759380743682138222568981925970452302952494566101548778170495658972779864956204711492351920865703458408235008 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 x z) z x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (.f64 (.f64 x (.f64 (+.f64 (/.f64 y (.f64 z z)) y) z)) z))))
(if (<=.f64 y #s(literal 5884782876925013/196159429230833773869868419475239575503198607639501078528 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (*.f64 x z) z x))))
(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 x z) z x)))
(if (<=.f64 z #s(literal 534955578137577/9223372036854775808 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 z #s(literal 50999999999999999056049986111904021084498015878394467027916907909475736495336156894100618952643583223102593406408100293263994642779872786302493724220850176 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (* (* x y) z)) (* x y)) (.f64 (.f64 (.f64 z z) x) y))) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 y z) z)) x))))
(if (<=.f64 z #s(literal 534955578137577/9223372036854775808 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (* (* x y) z)) (* x y)) (.f64 (.f64 (*.f64 z z) x) y))))
(if (<=.f64 (.f64 z z) #s(literal 4835703278458517/9671406556917033397649408 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))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (* y (* z z)) y) x) (*.f64 y x)))

Outputs
(if (<=.f64 z #s(literal 76000000000000004096522048288266325439653210889426361357376937137985366304730651014759565664156399680846312666418172046088987058069774374529230139432023894232535615490142424156869175003884756647403450965950464 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 x z) z x))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 z) y)) z))))
(if (<=.f64 z #s(literal 76000000000000004096522048288266325439653210889426361357376937137985366304730651014759565664156399680846312666418172046088987058069774374529230139432023894232535615490142424156869175003884756647403450965950464 binary64)) (pow.f64 (.f64 y (fma.f64 (.f64 x z) z x)) #s(literal -1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 z y)) z))))
(if (<=.f64 z #s(literal 399999999999999995507643150025317790603737839318199691990013939536117044729447467377770787784002759380743682138222568981925970452302952494566101548778170495658972779864956204711492351920865703458408235008 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 x z) z x))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* y z) (* z x)) (* y x)) (.f64 (.f64 x (.f64 (+.f64 (/.f64 y (.f64 z z)) y) z)) z))))
(if (<=.f64 z #s(literal 399999999999999995507643150025317790603737839318199691990013939536117044729447467377770787784002759380743682138222568981925970452302952494566101548778170495658972779864956204711492351920865703458408235008 binary64)) (pow.f64 (.f64 y (fma.f64 (.f64 x z) z x)) #s(literal -1 binary64)) (pow.f64 #s(approx (+ (* (* y z) (* z x)) (* y x)) (.f64 (.f64 x (.f64 (+.f64 (/.f64 y (.f64 z z)) y) z)) z)) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 5884782876925013/196159429230833773869868419475239575503198607639501078528 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 z x) (.f64 y x))) (/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (*.f64 x z) z x))))
(if (<=.f64 y #s(literal 5884782876925013/196159429230833773869868419475239575503198607639501078528 binary64)) (pow.f64 (fma.f64 (.f64 y z) (.f64 z x) (.f64 y x)) #s(literal -1 binary64)) (pow.f64 (.f64 y (fma.f64 (*.f64 x z) z x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 x z) z x)))
(pow.f64 (.f64 y (fma.f64 (.f64 x z) z x)) #s(literal -1 binary64))
(if (<=.f64 z #s(literal 534955578137577/9223372036854775808 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 z #s(literal 50999999999999999056049986111904021084498015878394467027916907909475736495336156894100618952643583223102593406408100293263994642779872786302493724220850176 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (* (* x y) z)) (* x y)) (.f64 (.f64 (.f64 z z) x) y))) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 y z) z)) x))))
(if (<=.f64 z #s(literal 534955578137577/9223372036854775808 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 z #s(literal 50999999999999999056049986111904021084498015878394467027916907909475736495336156894100618952643583223102593406408100293263994642779872786302493724220850176 binary64)) (pow.f64 #s(approx (+ (* (* y z) (* z x)) (* y x)) (.f64 (.f64 (.f64 z z) x) y)) #s(literal -1 binary64)) (pow.f64 (.f64 #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 y z) z)) x) #s(literal -1 binary64))))
(if (<=.f64 z #s(literal 534955578137577/9223372036854775808 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (* (* x y) z)) (* x y)) (.f64 (.f64 (*.f64 z z) x) y))))
(if (<=.f64 z #s(literal 534955578137577/9223372036854775808 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) y)) (pow.f64 #s(approx (+ (* (* y z) (* z x)) (* y x)) (.f64 (.f64 (*.f64 z z) x) y)) #s(literal -1 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 4835703278458517/9671406556917033397649408 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 (.f64 z z) #s(literal 4835703278458517/9671406556917033397649408 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))
(/.f64 #s(literal 1 binary64) #s(approx (* (+ (* y (* z z)) y) x) (*.f64 y x)))
(pow.f64 #s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 y x)) #s(literal -1 binary64))

soundness1.5s (19.7%)

Memory

-16.6MiB live, 1 173.9MiB 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
0	113	564
1	357	558
2	1206	548
3	3792	538
0	8142	516
0	52	227
1	131	219
2	414	207
3	1898	197
4	7530	197
0	8068	190
0	40	181
0	61	181
1	239	172
2	1507	172
0	8569	168
0	30	187
0	48	184
1	178	182
2	1302	164
0	8326	164
0	115	628
1	324	612
2	911	604
3	3742	595
0	8208	578
0	46	240
0	68	242
1	243	223
2	1523	219
0	8521	219
0	115	641
1	312	627
2	884	593
3	4247	590
0	8171	576

Stop Event

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

Compiler

Compiled 1 309 to 584 computations (55.4% saved)

preprocess383.0ms (5.2%)

Memory: 46.7MiB live, 512.2MiB allocated
Compiler: Compiled 2 790 to 1 276 computations (54.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze88.0ms (1.2%)

sample1.2s (16%)

explain111.0ms (1.5%)

preprocess229.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify47.0ms (0.6%)

localize68.0ms (0.9%)

series11.0ms (0.1%)

simplify149.0ms (2%)

rewrite167.0ms (2.2%)

eval42.0ms (0.6%)

prune28.0ms (0.4%)

simplify227.0ms (3.1%)

localize135.0ms (1.8%)

series62.0ms (0.8%)

simplify180.0ms (2.4%)

rewrite231.0ms (3.1%)

eval70.0ms (0.9%)

prune56.0ms (0.7%)

simplify120.0ms (1.6%)

localize171.0ms (2.3%)

series49.0ms (0.7%)

simplify140.0ms (1.9%)

rewrite329.0ms (4.4%)

eval345.0ms (4.6%)

prune110.0ms (1.5%)

simplify184.0ms (2.5%)

localize112.0ms (1.5%)

series36.0ms (0.5%)

simplify147.0ms (2%)

rewrite320.0ms (4.3%)

eval69.0ms (0.9%)

prune23.0ms (0.3%)

regimes88.0ms (1.2%)

regimes21.0ms (0.3%)

regimes18.0ms (0.2%)

regimes25.0ms (0.3%)

regimes26.0ms (0.3%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes19.0ms (0.3%)

regimes9.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch2.0ms (0%)

bsearch8.0ms (0.1%)

bsearch23.0ms (0.3%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify70.0ms (0.9%)

soundness1.5s (19.7%)

preprocess383.0ms (5.2%)

end0.0ms (0%)

Profiling