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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze80.0ms (0.9%)

Memory

31.6MiB live, 78.3MiB 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)

sample1.3s (14.6%)

Memory

17.2MiB live, 1 725.6MiB allocated

Samples

922.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 514.0ms

ival-mult: 226.0ms (44% of total)

ival-div: 209.0ms (40.7% of total)

ival-add: 62.0ms (12.1% of total)

ival-true: 7.0ms (1.4% of total)

exact: 6.0ms (1.2% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

explain162.0ms (1.8%)

Memory

9.7MiB live, 346.1MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	10	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	72
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	66
↳	`(*.f64 z z)`	overflow	66
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	10	0

Confusion

	Predicted +	Predicted -
+	19	0
-	1	236

Precision

0.95

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	19	0	0
-	1	0	236

Precision?

0.95

Recall?

1.0

Freqs

test

number	freq
0	236
1	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions

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

ival-div: 7.0ms (33.8% of total)

ival-mult: 7.0ms (33.8% of total)

ival-add: 5.0ms (24.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess237.0ms (2.7%)

Memory

3.6MiB live, 138.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.1%	(/.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)

simplify52.0ms (0.6%)

Memory

-31.4MiB live, 35.7MiB 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

localize42.0ms (0.5%)

Memory

-8.5MiB live, 36.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z z)
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (*.f64 z z))
accuracy	0.9666906033320882	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
accuracy	4.750581943809417	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

36.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (30.7% of total)

ival-add: 3.0ms (30.7% of total)

ival-mult: 3.0ms (30.7% 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

14.5MiB live, 14.5MiB 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	@	0	((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z))
1.0ms	y	@	-inf	((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z))

simplify198.0ms (2.2%)

Memory

-0.6MiB live, 137.5MiB 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)

rewrite205.0ms (2.3%)

Memory

17.4MiB live, 210.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 350

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 z #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) (-.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 z z) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -3 binary64)) (/.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z (pow.f64 z #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 z z) #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))))

eval51.0ms (0.6%)

Memory: -12.2MiB live, 76.6MiB allocated
Compiler: Compiled 9 958 to 1 322 computations (86.7% saved)

prune12.0ms (0.1%)

Memory

29.5MiB live, 29.5MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	352	13	365
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	353	13	366

Accuracy

95.7%

Counts

366 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.7%	(pow.f64 (pow.f64 (.f64 (fma.f64 y (.f64 z z) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	90.9%	(/.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))))
▶	94.0%	(/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)
	94.0%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
	92.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
▶	91.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 y (.f64 z z)) y))
	52.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
	90.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
	90.8%	(.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)))
▶	51.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
▶	58.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
	43.5%	#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)))
	52.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))

Compiler

Compiled 396 to 300 computations (24.2% saved)

simplify193.0ms (2.2%)

Memory

-31.3MiB live, 160.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	184
0	52	180
1	90	180
2	191	180
3	526	180
4	1411	180
5	2289	180
6	2830	180
7	3007	180
8	3150	180
9	3411	180
10	4955	180
11	6305	180
0	8145	180

Stop Event

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

Calls

Call 1

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

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

localize186.0ms (2.1%)

Memory

-12.0MiB live, 199.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.27962875976844204	(pow.f64 (pow.f64 (.f64 (fma.f64 y (.f64 z z) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0.9588781033320882	(fma.f64 y (*.f64 z z) y)
accuracy	4.512566153768277	(.f64 (fma.f64 y (.f64 z z) y) x)
accuracy	21.508870973688076	(pow.f64 (.f64 (fma.f64 y (.f64 z z) y) x) #s(literal -1/2 binary64))
accuracy	0.0	(+.f64 (.f64 y (.f64 z z)) y)
accuracy	0.0	(*.f64 z z)
accuracy	4.750581943809417	(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 y (.f64 z z)) y))
accuracy	4.91222744014012	(.f64 y (.f64 z z))
accuracy	0.0	(neg.f64 z)
accuracy	1.1312271160886085	(/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x)
accuracy	6.613309871576429	(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y)
accuracy	31.138699679209115	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.15625	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy	26.330727316317997	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
accuracy	0.0	(fma.f64 z z #s(literal 1 binary64))
accuracy	0.1410896135653262	(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64))
accuracy	0.9156433066990968	(/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)
accuracy	4.27539997492174	(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)

Samples

107.0ms

256×

valid

Compiler

Compiled 183 to 30 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 10.0ms (26.8% of total)

ival-mult: 9.0ms (24.2% of total)

ival-pow: 8.0ms (21.5% of total)

ival-add: 5.0ms (13.4% of total)

ival-pow2: 3.0ms (8.1% of total)

exact: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

series113.0ms (1.3%)

Memory

-18.2MiB live, 125.3MiB allocated

Counts

20 → 71

Calls

Call 1

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

Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (+ 1 (pow z 2))))
(* x (+ 1 (pow z 2)))
(/ 1 (* x y))
(/ 1 x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(sqrt (/ 1 (* x (+ y (* y (pow z 2))))))
(* x (+ y (* y (pow z 2))))
(* -1 (/ (pow (sqrt -1) 2) (* x (+ y (* y (pow z 2))))))
(* (sqrt (/ 1 (* x (+ y (* y (pow z 2)))))) (pow (sqrt -1) 2))
(/ (+ 1 (* -1 (pow z 2))) y)
(* y (+ 1 (pow z 2)))
(* y (pow z 2))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(* x (* y (+ 1 (pow z 2))))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(* (sqrt (/ 1 (* x (* y (- (* -1 (pow z 2)) 1))))) (sqrt -1))
(* -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
x
(+ x (* x (pow z 2)))
1
(+ 1 (pow z 2))
(/ 1 y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ 1 (* -1 (pow z 2)))
y
(+ y (* y (pow z 2)))
(sqrt (/ 1 (* x y)))
(+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (pow z 2))))
(+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* x y)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (pow z 2))))))
(+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* x y)))) (* (pow z 2) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (pow z 2))) (* 3/8 (sqrt (/ 1 (* x y)))))))))
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(* -1 z)
(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) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(* x (pow z 2))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* -1 (/ (pow z 2) (* x y)))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* -1 (pow z 2))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (sqrt (/ 1 (* x y))) (/ 1 z))
(/ (+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2))))) z)
(/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4)))))) z)
(/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 6)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4))))))) z)
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* -1 (* (sqrt (/ 1 (* x y))) (/ 1 z)))
(* -1 (/ (+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2))))) z))
(* -1 (/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4)))))) z))
(* -1 (/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 6)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4))))))) z))

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (+ (* y (* z z)) y) (/ (/ 1 x) (+ (* y (* z z)) y)) (* y (* z z)) (pow (pow (* (+ (* y (* z z)) y) x) -1/2) 2) (pow (* (+ (* y (* z z)) y) x) -1/2) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (neg z) (* z z))
30.0ms	z	@	-inf	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (+ (* y (* z z)) y) (/ (/ 1 x) (+ (* y (* z z)) y)) (* y (* z z)) (pow (pow (* (+ (* y (* z z)) y) x) -1/2) 2) (pow (* (+ (* y (* z z)) y) x) -1/2) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (neg z) (* z z))
21.0ms	y	@	0	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (+ (* y (* z z)) y) (/ (/ 1 x) (+ (* y (* z z)) y)) (* y (* z z)) (pow (pow (* (+ (* y (* z z)) y) x) -1/2) 2) (pow (* (+ (* y (* z z)) y) x) -1/2) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (neg z) (* z z))
6.0ms	y	@	inf	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (+ (* y (* z z)) y) (/ (/ 1 x) (+ (* y (* z z)) y)) (* y (* z z)) (pow (pow (* (+ (* y (* z z)) y) x) -1/2) 2) (pow (* (+ (* y (* z z)) y) x) -1/2) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (neg z) (* z z))
6.0ms	x	@	-inf	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (+ (* y (* z z)) y) (/ (/ 1 x) (+ (* y (* z z)) y)) (* y (* z z)) (pow (pow (* (+ (* y (* z z)) y) x) -1/2) 2) (pow (* (+ (* y (* z z)) y) x) -1/2) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (neg z) (* z z))

simplify164.0ms (1.8%)

Memory

19.1MiB live, 159.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	995
1	456	952
2	1494	850
3	5215	846
0	8076	816

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 69

Calls

Call 1

Inputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (+ 1 (pow z 2))))
(* x (+ 1 (pow z 2)))
(/ 1 (* x y))
(/ 1 x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ 1 (* x (+ y (* y (pow z 2)))))
(sqrt (/ 1 (* x (+ y (* y (pow z 2))))))
(* x (+ y (* y (pow z 2))))
(* -1 (/ (pow (sqrt -1) 2) (* x (+ y (* y (pow z 2))))))
(* (sqrt (/ 1 (* x (+ y (* y (pow z 2)))))) (pow (sqrt -1) 2))
(/ (+ 1 (* -1 (pow z 2))) y)
(* y (+ 1 (pow z 2)))
(* y (pow z 2))
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(* x (* y (+ 1 (pow z 2))))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(* (sqrt (/ 1 (* x (* y (- (* -1 (pow z 2)) 1))))) (sqrt -1))
(* -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
x
(+ x (* x (pow z 2)))
1
(+ 1 (pow z 2))
(/ 1 y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ 1 (* -1 (pow z 2)))
y
(+ y (* y (pow z 2)))
(sqrt (/ 1 (* x y)))
(+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (pow z 2))))
(+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* x y)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (pow z 2))))))
(+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* x y)))) (* (pow z 2) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (pow z 2))) (* 3/8 (sqrt (/ 1 (* x y)))))))))
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(* -1 z)
(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) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(* x (pow z 2))
(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* -1 (/ (pow z 2) (* x y)))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* -1 (pow z 2))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (sqrt (/ 1 (* x y))) (/ 1 z))
(/ (+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2))))) z)
(/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4)))))) z)
(/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 6)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4))))))) z)
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* -1 (* (sqrt (/ 1 (* x y))) (/ 1 z)))
(* -1 (/ (+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2))))) z))
(* -1 (/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4)))))) z))
(* -1 (/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 6)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4))))))) z))

Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) y)
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))
(* x (+ 1 (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(/ 1 (* x (+ y (* y (pow z 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) y)
(sqrt (/ 1 (* x (+ y (* y (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) y))
(* x (+ y (* y (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* -1 (/ (pow (sqrt -1) 2) (* x (+ y (* y (pow z 2))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) y)
(* (sqrt (/ 1 (* x (+ y (* y (pow z 2)))))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.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)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(* y (pow z 2))
(.f64 (.f64 z z) y)
(sqrt (/ 1 (* x (* y (+ 1 (pow z 2))))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) y))
(* x (* y (+ 1 (pow z 2))))
(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(.f64 (neg.f64 y) (-.f64 (.f64 (neg.f64 z) z) #s(literal 1 binary64)))
(/ -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)))
(* (sqrt (/ 1 (* x (* y (- (* -1 (pow z 2)) 1))))) (sqrt -1))
(.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (-.f64 (.f64 (neg.f64 z) z) #s(literal 1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(.f64 (.f64 (neg.f64 y) x) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64)))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) x)
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 (/.f64 (fma.f64 z z (neg.f64 (pow.f64 z #s(literal 4 binary64)))) y) x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (-.f64 (/.f64 (/.f64 (fma.f64 z z (neg.f64 (pow.f64 z #s(literal 4 binary64)))) y) x) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z z) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x)
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 z z (neg.f64 (pow.f64 z #s(literal 4 binary64)))) x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(fma.f64 (-.f64 (/.f64 (fma.f64 z z (neg.f64 (pow.f64 z #s(literal 4 binary64)))) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 z z) (/.f64 #s(literal 1 binary64) x))
x
(+ x (* x (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(+ 1 (* -1 (pow z 2)))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
y
(+ y (* y (pow z 2)))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(sqrt (/ 1 (* x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (pow z 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z z) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* x y)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (pow z 2))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (fma.f64 #s(literal 3/8 binary64) (.f64 z z) #s(literal -1/2 binary64))) (*.f64 z z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)))
(+ (sqrt (/ 1 (* x y))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* x y)))) (* (pow z 2) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (pow z 2))) (* 3/8 (sqrt (/ 1 (* x y)))))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 z z) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (fma.f64 #s(literal -5/16 binary64) (.f64 z z) #s(literal 3/8 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)
(* -1 z)
(neg.f64 z)
(pow z 2)
(*.f64 z z)
(/ 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 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) 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) (/ 1 (* x (pow z 2)))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) (*.f64 z z))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) (*.f64 z z))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z z))) x)) (.f64 z z))
(* x (pow z 2))
(.f64 (.f64 z z) x)
(* (pow z 2) (+ x (/ x (pow z 2))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* -1 (/ (pow z 2) (* x y)))
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 z x))
(* (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 z y) (neg.f64 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) (+ y (/ y (pow z 2))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(* (sqrt (/ 1 (* x y))) (/ 1 z))
(/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z)
(/ (+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2))))) z)
(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 z z)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))) z)
(/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4)))))) z)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))) z)
(/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 6)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4))))))) z)
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 z z)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (-.f64 (/.f64 #s(literal -5/16 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 z #s(literal 4 binary64)))))) z)
(* 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)) y) x)
(* -1 (* (sqrt (/ 1 (* x y))) (/ 1 z)))
(/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (neg.f64 z))
(* -1 (/ (+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2))))) z))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 z z)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))) (neg.f64 z))
(* -1 (/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4)))))) z))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 z z))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))) (neg.f64 z))
(* -1 (/ (+ (sqrt (/ 1 (* x y))) (+ (* -1/2 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 2)))) (+ (* -5/16 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 6)))) (* 3/8 (* (sqrt (/ 1 (* x y))) (/ 1 (pow z 4))))))) z))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 z z)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (-.f64 (/.f64 #s(literal -5/16 binary64) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 z #s(literal 4 binary64)))))) (neg.f64 z))

rewrite462.0ms (5.2%)

Memory

17.0MiB live, 145.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	157
0	52	152
1	178	152
2	1059	149
0	9306	149

Stop Event

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

Counts

20 → 1 143

Calls

Call 1

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

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

eval314.0ms (3.5%)

Memory: 0.9MiB live, 189.7MiB allocated
Compiler: Compiled 18 210 to 2 612 computations (85.7% saved)

prune74.0ms (0.8%)

Memory

5.8MiB live, 119.3MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	757	15	772
Fresh	4	4	8
Picked	3	2	5
Done	0	0	0
Total	764	21	785

Accuracy

100.0%

Counts

785 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(pow.f64 (pow.f64 (fma.f64 (.f64 y z) (.f64 z x) (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	62.7%	(pow.f64 #s(approx (pow (* (+ (* y (* z z)) y) x) -1/2) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z)) #s(literal 2 binary64))
	58.5%	(pow.f64 #s(approx (pow (* (+ (* y (* z z)) y) x) -1/2) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))) #s(literal 2 binary64))
▶	98.4%	(/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y)
	92.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
✓	91.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 y (.f64 z z)) y))
▶	52.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
	55.0%	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) y)
	90.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
	92.5%	(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 (neg.f64 x) y)))
	36.5%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y (fma.f64 (pow.f64 z #s(literal 4 binary64)) y y))) (*.f64 (fma.f64 z z #s(literal -1 binary64)) y))
▶	54.9%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) x) y)))
	92.3%	#s(approx (/ (/ 1 x) (+ (* y (* z z)) y)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64))))
	36.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (/.f64 (.f64 (neg.f64 z) z) y) x (.f64 x (pow.f64 y #s(literal -1 binary64)))) (*.f64 x x)))
	27.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y x) (.f64 (neg.f64 y) (.f64 (neg.f64 z) z))) (.f64 (neg.f64 y) (*.f64 y x))))
	52.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (neg.f64 x) y)))
✓	58.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
	58.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x))
	52.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))
▶	58.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
▶	18.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (/ (+ (* (neg z) z) 1) y) x) (.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))))

Compiler

Compiled 800 to 578 computations (27.8% saved)

simplify192.0ms (2.1%)

Memory

11.1MiB live, 197.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	295
0	58	295
1	108	290
2	253	290
3	753	290
4	1793	290
5	2830	290
6	3555	290
7	3803	290
8	3899	290
9	4080	290
10	4477	274
11	5772	274
12	7335	274
0	8066	272

Stop Event

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

Calls

Call 1

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

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

localize116.0ms (1.3%)

Memory

-13.1MiB live, 222.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	5.707141831637266	(.f64 (.f64 z z) x)
accuracy	5.743430043440014	(.f64 (.f64 (*.f64 z z) x) y)
accuracy	20.569360054248925	(.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))
accuracy	31.138699679209115	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (/ (+ (* (neg z) z) 1) y) x) (.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))))
accuracy	0.0	(*.f64 z z)
accuracy	4.750581943809417	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
accuracy	4.91222744014012	(.f64 (.f64 z z) y)
accuracy	30.629993677268317	#s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y))
accuracy	0.33705114422869314	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) x) y))
accuracy	5.707141831637266	(.f64 (.f64 z z) x)
accuracy	5.743430043440014	(.f64 (.f64 (*.f64 z z) x) y)
accuracy	24.967444812800288	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) x) y)))
accuracy	0.0	(*.f64 y x)
accuracy	0.2471723609581025	(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy	26.330727316317997	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy	0.0	(*.f64 x z)
accuracy	0.0859375	(fma.f64 (*.f64 x z) z x)
accuracy	0.1410896135653262	(pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64))
accuracy	0.9156433066990968	(/.f64 (pow.f64 (fma.f64 (*.f64 x z) z x) #s(literal -1 binary64)) y)

Samples

72.0ms

256×

valid

Compiler

Compiled 221 to 35 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 23.0ms (45.3% of total)

ival-div: 15.0ms (29.5% of total)

ival-add: 5.0ms (9.8% of total)

ival-pow: 5.0ms (9.8% of total)

ival-sub: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series89.0ms (1%)

Memory

20.3MiB live, 157.5MiB allocated

Counts

20 → 50

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	z	@	0	((/ (pow (+ (* (* x z) z) x) -1) y) (pow (+ (* (* x z) z) x) -1) (+ (* (* x z) z) x) (* x z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* z z) x) y)) (* (* (* z z) x) y) (* (* z z) x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* z z) y) (- (/ 1 (* (* (* z z) x) y)) (/ (/ 1 x) y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (* (- (/ 1 (* (* (* z z) x) y)) (/ (/ 1 x) y)) (* z z)) (* z z))
10.0ms	y	@	inf	((/ (pow (+ (* (* x z) z) x) -1) y) (pow (+ (* (* x z) z) x) -1) (+ (* (* x z) z) x) (* x z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* z z) x) y)) (* (* (* z z) x) y) (* (* z z) x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* z z) y) (- (/ 1 (* (* (* z z) x) y)) (/ (/ 1 x) y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (* (- (/ 1 (* (* (* z z) x) y)) (/ (/ 1 x) y)) (* z z)) (* z z))
10.0ms	x	@	0	((/ (pow (+ (* (* x z) z) x) -1) y) (pow (+ (* (* x z) z) x) -1) (+ (* (* x z) z) x) (* x z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* z z) x) y)) (* (* (* z z) x) y) (* (* z z) x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* z z) y) (- (/ 1 (* (* (* z z) x) y)) (/ (/ 1 x) y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (* (- (/ 1 (* (* (* z z) x) y)) (/ (/ 1 x) y)) (* z z)) (* z z))
6.0ms	x	@	-inf	((/ (pow (+ (* (* x z) z) x) -1) y) (pow (+ (* (* x z) z) x) -1) (+ (* (* x z) z) x) (* x z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* z z) x) y)) (* (* (* z z) x) y) (* (* z z) x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* z z) y) (- (/ 1 (* (* (* z z) x) y)) (/ (/ 1 x) y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (* (- (/ 1 (* (* (* z z) x) y)) (/ (/ 1 x) y)) (* z z)) (* z z))
5.0ms	y	@	-inf	((/ (pow (+ (* (* x z) z) x) -1) y) (pow (+ (* (* x z) z) x) -1) (+ (* (* x z) z) x) (* x z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* z z) x) y)) (* (* (* z z) x) y) (* (* z z) x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* z z) y) (- (/ 1 (* (* (* z z) x) y)) (/ (/ 1 x) y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (* (- (/ 1 (* (* (* z z) x) y)) (/ (/ 1 x) y)) (* z z)) (* z z))

simplify162.0ms (1.8%)

Memory

-12.3MiB live, 165.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	627
1	305	611
2	811	585
3	3756	581
0	8555	572

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 48

Calls

Call 1

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

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

rewrite166.0ms (1.9%)

Memory

-0.8MiB live, 237.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	241
0	58	241
1	212	228
2	1557	208
0	8512	204

Stop Event

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

Counts

20 → 537

Calls

Call 1

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

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

eval125.0ms (1.4%)

Memory: -5.9MiB live, 135.3MiB allocated
Compiler: Compiled 24 632 to 2 859 computations (88.4% saved)

prune29.0ms (0.3%)

Memory

19.6MiB live, 67.0MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	723	11	734
Fresh	7	7	14
Picked	2	3	5
Done	0	2	2
Total	732	23	755

Accuracy

100.0%

Counts

755 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.7%	(pow.f64 #s(approx (pow (* (+ (* y (* z z)) y) x) -1/2) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) z)) #s(literal 2 binary64))
	58.5%	(pow.f64 #s(approx (pow (* (+ (* y (* z z)) y) x) -1/2) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))) #s(literal 2 binary64))
	80.2%	(/.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) y)
▶	98.4%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y)
✓	91.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 y (.f64 z z)) y))
	68.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 (+.f64 (/.f64 y (*.f64 z z)) y) z) z)))
✓	52.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
	59.4%	(/.f64 #s(approx (pow (+ (* (* x z) z) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) z))) y)
▶	90.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
	52.0%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx ( y (+ 1 (* z z))) (.f64 (.f64 z z) y)) x))
	36.5%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y (fma.f64 (pow.f64 z #s(literal 4 binary64)) y y))) (*.f64 (fma.f64 z z #s(literal -1 binary64)) y))
✓	54.9%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) x) y)))
	59.3%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z x) z) y)))
	56.9%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (*.f64 y x))))
▶	59.1%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) (*.f64 y z))))
	61.7%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z x)) z)))
	63.1%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z (*.f64 y x)))))
▶	27.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y x) (.f64 (neg.f64 y) (.f64 (neg.f64 z) z))) (.f64 (neg.f64 y) (*.f64 y x))))
	52.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (neg.f64 x) y)))
✓	58.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
▶	58.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x))
✓	58.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
	19.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (/ (+ (* (neg z) z) 1) y) x) (.f64 (/.f64 (.f64 z z) y) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) z)) (/.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 837 to 610 computations (27.1% saved)

simplify143.0ms (1.6%)

Memory

-0.8MiB live, 135.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y x) (.f64 (neg.f64 y) (.f64 (neg.f64 z) z))) (.f64 (neg.f64 y) (*.f64 y x))))
cost-diff	2	(.f64 (neg.f64 y) (.f64 (neg.f64 z) z))
cost-diff	4	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y x) (.f64 (neg.f64 y) (.f64 (neg.f64 z) z))) (.f64 (neg.f64 y) (*.f64 y x)))
cost-diff	6	(fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y x) (.f64 (neg.f64 y) (*.f64 (neg.f64 z) z)))
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 z x)
cost-diff	0	(.f64 (.f64 z x) (*.f64 y z))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) (*.f64 y z)))
cost-diff	0	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) (*.f64 y z))))
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y))
cost-diff	0	(/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x)
cost-diff	0	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x))
cost-diff	0	(*.f64 z x)
cost-diff	0	(fma.f64 (*.f64 z x) z x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	266
0	69	266
1	139	252
2	427	233
3	2408	227
4	7380	227
0	8583	226

Stop Event

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

Calls

Call 1

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

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

localize110.0ms (1.2%)

Memory

10.0MiB live, 101.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.91222744014012	(.f64 (neg.f64 y) (.f64 (neg.f64 z) z))
accuracy	12.957208299490917	(fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y x) (.f64 (neg.f64 y) (*.f64 (neg.f64 z) z)))
accuracy	19.455973368484972	(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y x) (.f64 (neg.f64 y) (.f64 (neg.f64 z) z))) (.f64 (neg.f64 y) (*.f64 y x)))
accuracy	31.138699679209115	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 y x) (.f64 (neg.f64 y) (.f64 (neg.f64 z) z))) (.f64 (neg.f64 y) (*.f64 y x))))
accuracy	0.0	(*.f64 z z)
accuracy	0.3917386442286931	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
accuracy	0.9588781033320882	(fma.f64 y (*.f64 z z) y)
accuracy	4.512566153768277	(.f64 (fma.f64 y (.f64 z z) y) x)
accuracy	0.0	(*.f64 y z)
accuracy	0.33705114422869314	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) (*.f64 y z)))
accuracy	1.8971924873367083	(.f64 (.f64 z x) (*.f64 y z))
accuracy	24.967444812800288	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) (*.f64 y z))))
accuracy	0.0	(/.f64 #s(literal 1 binary64) y)
accuracy	1.1312271160886085	(/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x)
accuracy	31.138699679209115	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x))
accuracy	32.66188458845288	#s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y))
accuracy	0.0	(*.f64 z x)
accuracy	0.0859375	(fma.f64 (*.f64 z x) z x)
accuracy	0.1410896135653262	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x))
accuracy	0.9156433066990968	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y)

Samples

79.0ms

256×

valid

Compiler

Compiled 221 to 42 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 28.0ms (45.9% of total)

ival-mult: 21.0ms (34.4% of total)

ival-add: 7.0ms (11.5% of total)

ival-pow: 2.0ms (3.3% of total)

ival-neg: 2.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series192.0ms (2.2%)

Memory

-21.2MiB live, 77.2MiB allocated

Counts

20 → 59

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
123.0ms	y	@	inf	((/ (/ 1 (+ (* (* z x) z) x)) y) (/ 1 (+ (* (* z x) z) x)) (+ (* (* z x) z) x) (* z x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (/ 1 y) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* z x) (* y z))) (* (* z x) (* y z)) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* z z) (+ (* (/ -1 x) (* y x)) (* (neg y) (* (neg z) z))) (/ (+ (* (/ -1 x) (* y x)) (* (neg y) (* (neg z) z))) (* (neg y) (* y x))) (* (neg y) (* (neg z) z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y z))
40.0ms	z	@	-inf	((/ (/ 1 (+ (* (* z x) z) x)) y) (/ 1 (+ (* (* z x) z) x)) (+ (* (* z x) z) x) (* z x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (/ 1 y) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* z x) (* y z))) (* (* z x) (* y z)) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* z z) (+ (* (/ -1 x) (* y x)) (* (neg y) (* (neg z) z))) (/ (+ (* (/ -1 x) (* y x)) (* (neg y) (* (neg z) z))) (* (neg y) (* y x))) (* (neg y) (* (neg z) z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y z))
5.0ms	y	@	-inf	((/ (/ 1 (+ (* (* z x) z) x)) y) (/ 1 (+ (* (* z x) z) x)) (+ (* (* z x) z) x) (* z x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (/ 1 y) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* z x) (* y z))) (* (* z x) (* y z)) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* z z) (+ (* (/ -1 x) (* y x)) (* (neg y) (* (neg z) z))) (/ (+ (* (/ -1 x) (* y x)) (* (neg y) (* (neg z) z))) (* (neg y) (* y x))) (* (neg y) (* (neg z) z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y z))
5.0ms	x	@	-inf	((/ (/ 1 (+ (* (* z x) z) x)) y) (/ 1 (+ (* (* z x) z) x)) (+ (* (* z x) z) x) (* z x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (/ 1 y) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* z x) (* y z))) (* (* z x) (* y z)) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* z z) (+ (* (/ -1 x) (* y x)) (* (neg y) (* (neg z) z))) (/ (+ (* (/ -1 x) (* y x)) (* (neg y) (* (neg z) z))) (* (neg y) (* y x))) (* (neg y) (* (neg z) z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y z))
4.0ms	x	@	0	((/ (/ 1 (+ (* (* z x) z) x)) y) (/ 1 (+ (* (* z x) z) x)) (+ (* (* z x) z) x) (* z x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (/ 1 y) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* z x) (* y z))) (* (* z x) (* y z)) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* z z) (+ (* (/ -1 x) (* y x)) (* (neg y) (* (neg z) z))) (/ (+ (* (/ -1 x) (* y x)) (* (neg y) (* (neg z) z))) (* (neg y) (* y x))) (* (neg y) (* (neg z) z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y z))

simplify534.0ms (6%)

Memory

-84.9MiB live, 151.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	648
1	349	628
2	1056	596
3	4895	591
0	8246	572

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 57

Calls

Call 1

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

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

rewrite176.0ms (2%)

Memory

43.6MiB live, 175.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	224
0	69	224
1	250	210
2	1727	210
0	8836	204

Stop Event

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

Counts

20 → 662

Calls

Call 1

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

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

eval110.0ms (1.2%)

Memory: -11.5MiB live, 175.5MiB allocated
Compiler: Compiled 23 638 to 2 646 computations (88.8% saved)

prune33.0ms (0.4%)

Memory

-18.9MiB live, 83.5MiB allocated

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	706	8	714
Fresh	8	5	13
Picked	1	4	5
Done	0	5	5
Total	715	22	737

Accuracy

100.0%

Counts

737 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y)
	59.4%	(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* z x) z) x) (.f64 (.f64 x z) z))) y)
✓	91.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (.f64 y (.f64 z z)) y))
✓	52.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
✓	90.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
	68.2%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( y (* z z)) y) (.f64 (.f64 (+.f64 (/.f64 y (*.f64 z z)) y) z) z)) x))
	63.5%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 (pow.f64 (.f64 (.f64 y x) z) #s(literal -1 binary64)) z))
	61.3%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64)) y) z))
✓	54.9%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) x) y)))
	59.3%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z x) z) y)))
	53.6%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y z) z) x)))
	63.1%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y x) z) z)))
	56.9%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (*.f64 y x))))
✓	59.1%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) (*.f64 y z))))
	61.7%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z x)) z)))
	52.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (neg.f64 x) y)))
✓	58.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	58.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x))
	60.6%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (+ (* (/ -1 x) (* y x)) (* (neg y) (* (neg z) z))) (neg.f64 y)) (.f64 (neg.f64 y) (.f64 y x))))
✓	58.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
	19.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (/ (+ (* (neg z) z) 1) y) x) (.f64 (/.f64 (.f64 z z) y) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) z)) (/.f64 #s(literal 1 binary64) x)))))
	40.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (+ (* (/ -1 x) (* y x)) (* (neg y) (* (neg z) z))) (* (neg y) (* y x))) (/.f64 (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) y) x) y) y)))

Compiler

Compiled 1 455 to 571 computations (60.8% saved)

regimes212.0ms (2.4%)

Memory

-8.6MiB live, 188.1MiB allocated

Counts

48 → 1

Calls

Call 1

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

Calls

8 calls:

60.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
57.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
32.0ms	(*.f64 z z)
14.0ms	y
12.0ms	(/.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
98.4%	1	`(*.f64 z z)`
98.4%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.4%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.4%	1	`(/.f64 #s(literal 1 binary64) x)`
98.4%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes53.0ms (0.6%)

Memory

15.3MiB live, 105.8MiB allocated

Counts

23 → 2

Calls

Call 1

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

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

Calls

8 calls:

8.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
7.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
6.0ms	(/.f64 #s(literal 1 binary64) x)
6.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
98.8%	2	`(*.f64 z z)`
98.8%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.5%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
94.3%	2	`(/.f64 #s(literal 1 binary64) x)`
97.0%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
94.3%	2	`x`
95.6%	2	`y`
98.8%	2	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
99.4%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes20.0ms (0.2%)

Memory

-18.8MiB live, 33.6MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

7.0ms	z
4.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
4.0ms	(*.f64 z z)
3.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
97.6%	2	`(*.f64 z z)`
97.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.6%	2	`z`
86.8%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes14.0ms (0.2%)

Memory

-15.9MiB live, 30.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
71.1%	4	`y`
84.7%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
94.4%	2	`(*.f64 z z)`
94.4%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
94.4%	2	`z`

Compiler

Compiled 21 to 25 computations (-19% saved)

regimes11.0ms (0.1%)

Memory

28.4MiB live, 28.4MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
67.3%	3	`x`
67.3%	3	`(/.f64 #s(literal 1 binary64) x)`
89.7%	2	`(*.f64 z z)`
89.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
89.7%	2	`z`

Compiler

Compiled 13 to 21 computations (-61.5% saved)

regimes12.0ms (0.1%)

Memory

-6.0MiB live, 39.6MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
69.0%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
67.9%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
69.2%	2	`(*.f64 z z)`
69.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
69.2%	2	`z`

Compiler

Compiled 27 to 29 computations (-7.4% saved)

regimes78.0ms (0.9%)

Memory

-13.8MiB live, 33.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

66.0ms	x
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	y
2.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
2.0ms	z

Results

Accuracy	Segments	Branch
58.7%	1	`(/.f64 #s(literal 1 binary64) x)`
58.7%	1	`x`
58.7%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
58.7%	1	`y`
58.7%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
58.7%	1	`z`
58.7%	1	`(*.f64 z z)`
58.7%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes10.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Accuracy

Total -0.1b remaining (-0.4%)

Threshold costs -0.1b (-0.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Results

Accuracy	Segments	Branch
58.7%	1	`z`
58.7%	1	`x`
58.7%	1	`(/.f64 #s(literal 1 binary64) x)`
58.7%	1	`(*.f64 z z)`
58.7%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
58.7%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
58.7%	1	`y`
58.7%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`

Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.406961375022933e+307	+inf

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.406961375022933e+307	+inf

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch12.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.054058582893179684	1.4861060957491994

Samples

6.0ms

112×

valid

Compiler

Compiled 308 to 246 computations (20.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (28.3% of total)

ival-add: 1.0ms (28.3% of total)

ival-mult: 1.0ms (28.3% 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

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.054058582893179684	1.4861060957491994

Compiler

Compiled 308 to 246 computations (20.1% saved)

bsearch7.0ms (0.1%)

Memory

-49.7MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.054058582893179684	1.4861060957491994

Compiler

Compiled 308 to 239 computations (22.4% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0029223303844188	3.2085113278229285

Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify78.0ms (0.9%)

Memory

22.3MiB live, 67.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	329
1	132	327
2	283	325
3	685	322
4	1848	322
5	3393	322
6	4190	322
7	4485	322
8	5389	322
9	6510	322

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y)
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 y z) z y)) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z x)) z))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x)) #s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z x)) z))))
(if (<=.f64 z #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 (neg.f64 x) y))) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z x)) z))))
(if (<=.f64 z #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 (neg.f64 x) y))) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z (*.f64 y x))))))
(if (<=.f64 z #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.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))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 2 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 (neg.f64 x) y))) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(approx (+ (* (/ -1 x) (* y x)) (* (neg y) (* (neg z) z))) (neg.f64 y)) (.f64 (neg.f64 y) (.f64 y x)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) z x)) y)
(/.f64 (pow.f64 (fma.f64 (*.f64 z x) z x) #s(literal -1 binary64)) y)
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 y z) z y)) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z x)) z))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 y z) z y)) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (pow.f64 (.f64 (.f64 y (*.f64 z x)) z) #s(literal -1 binary64))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x)) #s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z x)) z))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (pow.f64 (.f64 (fma.f64 y (.f64 z z) y) x) #s(literal -1 binary64)) #s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (pow.f64 (.f64 (.f64 y (*.f64 z x)) z) #s(literal -1 binary64))))
(if (<=.f64 z #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 (neg.f64 x) y))) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (*.f64 z x)) z))))
(if (<=.f64 z #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 (neg.f64 x) y))) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (pow.f64 (.f64 (.f64 y (*.f64 z x)) z) #s(literal -1 binary64))))
(if (<=.f64 z #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 (neg.f64 x) y))) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z (*.f64 y x))))))
(if (<=.f64 z #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 (neg.f64 x) y))) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (pow.f64 (.f64 z (.f64 z (*.f64 y x))) #s(literal -1 binary64))))
(if (<=.f64 z #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.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))))
(if (<=.f64 z #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 (neg.f64 x) y))) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (pow.f64 (.f64 (.f64 (*.f64 z z) y) x) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 2 binary64)) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 (neg.f64 x) y))) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(approx (+ (* (/ -1 x) (* y x)) (* (neg y) (* (neg z) z))) (neg.f64 y)) (.f64 (neg.f64 y) (.f64 y x)))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 2 binary64)) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (.f64 (neg.f64 x) y))) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (/.f64 #s(approx (+ (* (/ -1 x) (* y x)) (* (neg y) (* (neg z) z))) (neg.f64 y)) (.f64 (neg.f64 y) (.f64 y x)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 (pow.f64 x #s(literal -1 binary64)) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))

soundness1.6s (18.3%)

Memory

45.8MiB live, 1 213.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	157
0	52	152
1	178	152
2	1059	149
0	9306	149
0	162	995
1	456	952
2	1494	850
3	5215	846
0	8076	816
0	52	227
1	131	219
2	414	207
3	1898	197
4	7530	197
0	8068	190
0	126	648
1	349	628
2	1056	596
3	4895	591
0	8246	572
0	40	241
0	58	241
1	212	228
2	1557	208
0	8512	204
0	9	29
0	14	29
1	58	29
2	376	29
3	3126	29
0	8640	26

Stop Event

1×	fuel
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
1×	node limit
1×	iter limit

Compiler

Compiled 794 to 419 computations (47.2% saved)

preprocess747.0ms (8.4%)

Memory: 8.7MiB live, 859.8MiB allocated
Remove: (abs z)
Compiler: Compiled 3 084 to 1 714 computations (44.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze80.0ms (0.9%)

sample1.3s (14.6%)

explain162.0ms (1.8%)

preprocess237.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify52.0ms (0.6%)

localize42.0ms (0.5%)

series11.0ms (0.1%)

simplify198.0ms (2.2%)

rewrite205.0ms (2.3%)

eval51.0ms (0.6%)

prune12.0ms (0.1%)

simplify193.0ms (2.2%)

localize186.0ms (2.1%)

series113.0ms (1.3%)

simplify164.0ms (1.8%)

rewrite462.0ms (5.2%)

eval314.0ms (3.5%)

prune74.0ms (0.8%)

simplify192.0ms (2.1%)

localize116.0ms (1.3%)

series89.0ms (1%)

simplify162.0ms (1.8%)

rewrite166.0ms (1.9%)

eval125.0ms (1.4%)

prune29.0ms (0.3%)

simplify143.0ms (1.6%)

localize110.0ms (1.2%)

series192.0ms (2.2%)

simplify534.0ms (6%)

rewrite176.0ms (2%)

eval110.0ms (1.2%)

prune33.0ms (0.4%)

regimes212.0ms (2.4%)

regimes53.0ms (0.6%)

regimes7.0ms (0.1%)

regimes20.0ms (0.2%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

regimes12.0ms (0.1%)

regimes78.0ms (0.9%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch7.0ms (0.1%)

bsearch0.0ms (0%)

simplify78.0ms (0.9%)

soundness1.6s (18.3%)

preprocess747.0ms (8.4%)

end0.0ms (0%)

Profiling