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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze96.0ms (1.1%)

Memory

-14.0MiB live, 180.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (13%)

Memory

50.9MiB live, 1 611.1MiB allocated

Samples

706.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 398.0ms

ival-mult: 163.0ms (40.9% of total)

ival-div: 145.0ms (36.4% of total)

ival-add: 74.0ms (18.6% of total)

ival-true: 7.0ms (1.8% of total)

exact: 6.0ms (1.5% of total)

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

Bogosity

explain184.0ms (2.1%)

Memory

-44.4MiB live, 171.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
20	0	-	-	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
15	1	(-1.0311641369203348e-215 -1.8913721370656533e+221 2.217544980494628e+158)	-	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	0	-	-	`z`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
0	0	-	-	`(*.f64 z z)`
0	0	-	-	`y`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	20	0
`/.f64`	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	16	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	57
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	61
↳	`(*.f64 z z)`	overflow	61

Confusion

	Predicted +	Predicted -
+	31	0
-	5	220

Precision

0.8611111111111112

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	31	0	0
-	5	0	220

Precision?

0.8611111111111112

Recall?

1.0

Freqs

test

number	freq
0	220
1	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-add: 12.0ms (43.5% of total)

ival-div: 7.0ms (25.4% of total)

ival-mult: 7.0ms (25.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess208.0ms (2.3%)

Memory

18.9MiB live, 108.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.7%	(/.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)

simplify77.0ms (0.9%)

Memory

-22.8MiB live, 36.8MiB 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

localize22.0ms (0.2%)

Memory

25.5MiB live, 25.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) (*.f64 z z))
accuracy	0.0	(*.f64 z z)
accuracy	2.3513497009671336	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
accuracy	5.482338086245868	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

16.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

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

ival-div: 3.0ms (37% of total)

ival-mult: 3.0ms (37% of total)

ival-add: 1.0ms (12.3% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.3%)

Memory

-28.0MiB live, 16.2MiB 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
18.0ms	x	@	0	((+ 1 (* z z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* z z))
2.0ms	y	@	inf	((+ 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))

simplify120.0ms (1.3%)

Memory

-7.8MiB live, 180.9MiB 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)

rewrite215.0ms (2.4%)

Memory

-3.1MiB live, 385.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 350

Calls

Call 1

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

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

eval46.0ms (0.5%)

Memory: 38.8MiB live, 128.3MiB allocated
Compiler: Compiled 9 958 to 1 322 computations (86.7% saved)

prune18.0ms (0.2%)

Memory

0.4MiB live, 54.4MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	351	14	365
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	352	14	366

Accuracy

95.8%

Counts

366 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.9%	(pow.f64 (.f64 (.f64 (fma.f64 y (.f64 z z) y) x) (.f64 (fma.f64 y (*.f64 z z) y) x)) #s(literal -1/2 binary64))
	87.7%	(/.f64 (pow.f64 (fma.f64 y (*.f64 z z) y) #s(literal -1 binary64)) x)
	87.4%	(/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
▶	91.7%	(/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)
▶	91.7%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
	91.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	45.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
	68.9%	(*.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)))
▶	52.6%	#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))
	40.6%	#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)))
	40.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x))) (*.f64 z z)))
	87.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)))
	45.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))

Compiler

Compiled 510 to 364 computations (28.6% saved)

simplify198.0ms (2.2%)

Memory

8.6MiB live, 193.0MiB 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	(.f64 (.f64 (fma.f64 y (.f64 z z) y) x) (.f64 (fma.f64 y (*.f64 z z) y) x))
cost-diff	0	(pow.f64 (.f64 (.f64 (fma.f64 y (.f64 z z) y) x) (.f64 (fma.f64 y (*.f64 z z) y) x)) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
cost-diff	1	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
cost-diff	0	(fma.f64 (neg.f64 z) z #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y)
cost-diff	0	(/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x)
cost-diff	0	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
cost-diff	0	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
cost-diff	0	(fma.f64 z z #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)
cost-diff	0	(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64))
cost-diff	0	(/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	199
0	53	196
1	104	196
2	269	196
3	1158	196
4	4083	196
0	8241	196

Stop Event

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

Calls

Call 1

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

localize216.0ms (2.4%)

Memory

-28.5MiB live, 198.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.22332001953688405	(.f64 (.f64 (fma.f64 y (.f64 z z) y) x) (.f64 (fma.f64 y (*.f64 z z) y) x))
accuracy	2.3474434509671336	(fma.f64 y (*.f64 z z) y)
accuracy	5.186264179664474	(.f64 (fma.f64 y (.f64 z z) y) x)
accuracy	13.792096279646946	(pow.f64 (.f64 (.f64 (fma.f64 y (.f64 z z) y) x) (.f64 (fma.f64 y (*.f64 z z) y) x)) #s(literal -1/2 binary64))
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.0	(neg.f64 y)
accuracy	0.7293297224090414	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
accuracy	7.696163130411334	(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))
accuracy	0.0	(neg.f64 z)
accuracy	0.1875	(/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x)
accuracy	5.9325868964428325	(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y)
accuracy	30.17684597076595	#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	0.2421875	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy	26.31252397913492	#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	0.3794936935511714	(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64))
accuracy	0.7293297224090414	(/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)
accuracy	7.376737141439567	(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)

Samples

172.0ms

256×

valid

Compiler

Compiled 201 to 32 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-div: 68.0ms (52.9% of total)

ival-mult: 32.0ms (24.9% of total)

ival-pow: 14.0ms (10.9% of total)

ival-add: 9.0ms (7% of total)

ival-neg: 4.0ms (3.1% of total)

exact: 1.0ms (0.8% of total)

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

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

series114.0ms (1.3%)

Memory

53.1MiB live, 138.6MiB allocated

Counts

20 → 74

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
50.0ms	y	@	inf	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (pow (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) -1/2) (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (neg z) (neg y))
14.0ms	x	@	0	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (pow (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) -1/2) (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (neg z) (neg y))
9.0ms	y	@	-inf	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (pow (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) -1/2) (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (neg z) (neg y))
8.0ms	x	@	inf	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (pow (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) -1/2) (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (neg z) (neg y))
8.0ms	x	@	-inf	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (pow (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) -1/2) (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (neg z) (neg y))

simplify344.0ms (3.9%)

Memory

-59.1MiB live, 390.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	899
1	412	872
2	1388	811
3	5890	811
0	8299	779

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 72

Calls

Call 1

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

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

rewrite140.0ms (1.6%)

Memory

28.7MiB live, 311.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	171
0	53	151
1	190	151
2	1193	148
0	8896	148

Stop Event

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

Counts

20 → 1 047

Calls

Call 1

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

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

eval263.0ms (2.9%)

Memory: -0.1MiB live, 337.1MiB allocated
Compiler: Compiled 25 037 to 3 092 computations (87.7% saved)

prune115.0ms (1.3%)

Memory

-24.5MiB live, 68.5MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	923	13	936
Fresh	5	4	9
Picked	4	1	5
Done	0	0	0
Total	932	18	950

Accuracy

95.8%

Counts

950 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.3%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ (* z z) 1) (*.f64 z z))) (neg.f64 y))
▶	91.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	45.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
	49.4%	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) y)
	90.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
	87.4%	(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
	73.4%	(.f64 (pow.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) x) #s(literal -1/2 binary64)))
▶	68.9%	(*.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)))
	90.9%	#s(approx (pow (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) -1/2) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64))))
▶	49.2%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) x) y)))
	29.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (.f64 y x) (.f64 (.f64 y x) #s(literal 1 binary64))) (.f64 (.f64 y x) (*.f64 y x))))
	54.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (neg.f64 x) y)))
	58.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y))
▶	37.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 (.f64 y z) (neg.f64 z) y) (.f64 y y)) x))
✓	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))
	45.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))
▶	58.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 697 to 493 computations (29.3% saved)

simplify153.0ms (1.7%)

Memory

43.8MiB live, 139.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	223
0	65	223
1	136	220
2	404	216
3	1950	207
4	6019	207
0	8264	207

Stop Event

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

Calls

Call 1

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

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

localize175.0ms (2%)

Memory

-29.1MiB live, 164.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))
accuracy	0.2421875	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy	4.622547035602674	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))
accuracy	17.2471443067433	(*.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)))
accuracy	0.0546875	(fma.f64 (*.f64 y z) (neg.f64 z) y)
accuracy	0.1875	(/.f64 (/.f64 (fma.f64 (.f64 y z) (neg.f64 z) y) (.f64 y y)) x)
accuracy	30.17684597076595	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 (.f64 y z) (neg.f64 z) y) (.f64 y y)) x))
accuracy	32.01974796589608	(/.f64 (fma.f64 (.f64 y z) (neg.f64 z) y) (.f64 y y))
accuracy	0.3788005254140563	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) x) y))
accuracy	5.996176632931254	(.f64 (.f64 (*.f64 z z) x) y)
accuracy	8.102755406814937	(.f64 (.f64 z z) x)
accuracy	27.186177950558086	#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	0.5760309694753109	(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy	26.31252397913492	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(*.f64 y z)
accuracy	0.0546875	(fma.f64 (*.f64 y z) z y)
accuracy	5.482338086245868	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))

Samples

145.0ms

256×

valid

Compiler

Compiled 202 to 39 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-div: 67.0ms (68.8% of total)

ival-mult: 16.0ms (16.4% of total)

ival-add: 6.0ms (6.2% of total)

ival-pow: 5.0ms (5.1% of total)

ival-sub: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series102.0ms (1.1%)

Memory

19.1MiB live, 108.4MiB allocated

Counts

20 → 53

Calls

Call 1

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

Outputs
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x y))
(* x y)
(/ 1 (* x (* y (pow z 2))))
(* x (* y (pow z 2)))
(* x (pow z 2))
(/ (+ y (* -1 (* y (pow z 2)))) (* x (pow y 2)))
(* -1 (/ (- (pow z 2) 1) (* x (* y (- 1 (pow z 4))))))
(/ -1 (* x (* y (- 1 (pow z 4)))))
(/ -1 (* x y))
(/ -1 x)
(* y (+ 1 (pow z 2)))
(* y z)
(/ (+ 1 (* -1 (pow z 2))) y)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(* y (+ 1 (* -1 (pow z 2))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (/ (- (pow z 2) 1) y))
(* -1 (/ (- (pow z 2) 1) (* x y)))
(* -1 (* y (- (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)))
y
(+ y (* y (pow z 2)))
(/ 1 y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ y (* -1 (* y (pow z 2))))
(- (* -1 (/ (pow z 4) (* x y))) (/ 1 (* x y)))
(- (* (pow z 4) (- (* -1 (/ (pow z 4) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))
(- (* (pow z 4) (- (* (pow z 4) (- (* -1 (/ (pow z 4) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
1
(+ 1 (* -1 (pow z 4)))
(/ (- (/ 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))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* -1 (/ (pow z 2) (* x y)))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(* -1 (* y (pow z 2)))
(* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))
(/ 1 (* x (* y (pow z 4))))
(/ (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (pow z 4))
(/ (+ (/ 1 (* x y)) (+ (/ 1 (* x (* y (pow z 4)))) (/ 1 (* x (* y (pow z 8)))))) (pow z 4))
(/ (+ (/ 1 (* x y)) (+ (/ 1 (* x (* y (pow z 4)))) (+ (/ 1 (* x (* y (pow z 8)))) (/ 1 (* x (* y (pow z 12))))))) (pow z 4))
(* -1 (pow z 4))
(* (pow z 4) (- (/ 1 (pow z 4)) 1))

Calls

9 calls:

Time	Variable		Point	Expression
50.0ms	x	@	-inf	((/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* y 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) (/ (+ (* (* y z) (neg z)) y) (* y y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (+ (* (* y z) (neg z)) y) (* (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (+ (* z z) -1)) (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (/ (/ -1 x) y) (/ -1 x) (- 1 (pow z 4)))
13.0ms	y	@	0	((/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* y 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) (/ (+ (* (* y z) (neg z)) y) (* y y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (+ (* (* y z) (neg z)) y) (* (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (+ (* z z) -1)) (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (/ (/ -1 x) y) (/ -1 x) (- 1 (pow z 4)))
10.0ms	y	@	-inf	((/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* y 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) (/ (+ (* (* y z) (neg z)) y) (* y y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (+ (* (* y z) (neg z)) y) (* (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (+ (* z z) -1)) (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (/ (/ -1 x) y) (/ -1 x) (- 1 (pow z 4)))
7.0ms	x	@	0	((/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* y 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) (/ (+ (* (* y z) (neg z)) y) (* y y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (+ (* (* y z) (neg z)) y) (* (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (+ (* z z) -1)) (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (/ (/ -1 x) y) (/ -1 x) (- 1 (pow z 4)))
5.0ms	x	@	inf	((/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* y 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) (/ (+ (* (* y z) (neg z)) y) (* y y)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (+ (* (* y z) (neg z)) y) (* (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (+ (* z z) -1)) (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (/ (/ -1 x) y) (/ -1 x) (- 1 (pow z 4)))

simplify184.0ms (2.1%)

Memory

-40.5MiB live, 213.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	631
1	314	619
2	885	600
3	3907	577
0	8407	568

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 52

Calls

Call 1

Inputs
(/ 1 (* x (+ y (* y (pow z 2)))))
(/ 1 x)
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x y))
(* x y)
(/ 1 (* x (* y (pow z 2))))
(* x (* y (pow z 2)))
(* x (pow z 2))
(/ (+ y (* -1 (* y (pow z 2)))) (* x (pow y 2)))
(* -1 (/ (- (pow z 2) 1) (* x (* y (- 1 (pow z 4))))))
(/ -1 (* x (* y (- 1 (pow z 4)))))
(/ -1 (* x y))
(/ -1 x)
(* y (+ 1 (pow z 2)))
(* y z)
(/ (+ 1 (* -1 (pow z 2))) y)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(* y (+ 1 (* -1 (pow z 2))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(* -1 (* y (- (* -1 (pow z 2)) 1)))
(* -1 (/ (- (pow z 2) 1) y))
(* -1 (/ (- (pow z 2) 1) (* x y)))
(* -1 (* y (- (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)))
y
(+ y (* y (pow z 2)))
(/ 1 y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ y (* -1 (* y (pow z 2))))
(- (* -1 (/ (pow z 4) (* x y))) (/ 1 (* x y)))
(- (* (pow z 4) (- (* -1 (/ (pow z 4) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))
(- (* (pow z 4) (- (* (pow z 4) (- (* -1 (/ (pow z 4) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
1
(+ 1 (* -1 (pow z 4)))
(/ (- (/ 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))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ 1 (* y (pow z 2))) (/ 1 y)))
(* -1 (/ (pow z 2) (* x y)))
(* (pow z 2) (- (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x y))))
(* -1 (* y (pow z 2)))
(* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))
(/ 1 (* x (* y (pow z 4))))
(/ (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (pow z 4))
(/ (+ (/ 1 (* x y)) (+ (/ 1 (* x (* y (pow z 4)))) (/ 1 (* x (* y (pow z 8)))))) (pow z 4))
(/ (+ (/ 1 (* x y)) (+ (/ 1 (* x (* y (pow z 4)))) (+ (/ 1 (* x (* y (pow z 8)))) (/ 1 (* x (* y (pow z 12))))))) (pow z 4))
(* -1 (pow z 4))
(* (pow z 4) (- (/ 1 (pow z 4)) 1))

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

rewrite270.0ms (3%)

Memory

11.5MiB live, 334.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	185
0	65	185
1	249	182
2	1633	178
0	8700	178

Stop Event

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

Counts

20 → 752

Calls

Call 1

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

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 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal -1/2 binary64)) (pow.f64 (.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1/2 binary64))) y))
(.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1/2 binary64))) y) (/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) 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 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 z y) z y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) #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 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 y y) (.f64 (neg.f64 y) y))) (-.f64 (.f64 (*.f64 z z) y) y))
(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 (neg.f64 z) (.f64 z y) y) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(.f64 (pow.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) y))
(.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 y x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 z y) z y) #s(literal -1 binary64)))
(pow.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))) (neg.f64 (neg.f64 y)))
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) (neg.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (fma.f64 (.f64 z y) z y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 z y) z y))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 z y) z y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) y))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 z y) z y)))
(neg.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) (neg.f64 y)))
(exp.f64 (fma.f64 (log1p.f64 (.f64 z z)) #s(literal -1 binary64) (.f64 (log.f64 (*.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) #s(literal -1 binary64)))
(+.f64 (/.f64 (cosh.f64 (log.f64 (pow.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)))) y) (/.f64 (sinh.f64 (log.f64 (pow.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)))) y))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (neg.f64 z) #s(literal 1 binary64))) (/.f64 y (-.f64 (neg.f64 z) #s(literal 1 binary64))))
(*.f64 (/.f64 y (+.f64 (neg.f64 z) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (neg.f64 z) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))) (/.f64 y (-.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 y (-.f64 z #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 z #s(literal 1 binary64))) (/.f64 y (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 z #s(literal 1 binary64))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z z) y) y)) (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z z) y) y))) (.f64 (/.f64 (.f64 y y) (-.f64 (.f64 (.f64 z z) y) y)) (/.f64 (.f64 y y) (-.f64 (.f64 (.f64 z z) y) y)))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z z) y) y)) (/.f64 (.f64 y y) (-.f64 (.f64 (*.f64 z z) y) y))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 3 binary64)) (fma.f64 y (fma.f64 (neg.f64 z) (.f64 z y) y) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 3 binary64)) (fma.f64 y (fma.f64 (neg.f64 z) (.f64 z y) y) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 (neg.f64 z) (.f64 z y) y) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 (neg.f64 z) (.f64 z y) y) (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)))))) (-.f64 (.f64 (.f64 (neg.f64 z) y) z) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z z) y) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (-.f64 (.f64 (.f64 z z) y) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z z) y) y)) (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z z) y) y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 (.f64 (.f64 z z) y) y)) (/.f64 (.f64 y y) (-.f64 (.f64 (.f64 z z) y) y)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z z) y) y)) (/.f64 (.f64 y y) (-.f64 (.f64 (*.f64 z z) y) y))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))))) (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64)))) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 12 binary64)))) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64)))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 12 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (.f64 (neg.f64 z) (neg.f64 (neg.f64 z))) (.f64 (neg.f64 z) (neg.f64 (neg.f64 z))) #s(literal 1 binary64))
(fma.f64 (.f64 z (neg.f64 (neg.f64 z))) (.f64 z (neg.f64 (neg.f64 z))) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) (.f64 #s(literal 1 binary64) (neg.f64 z))) (.f64 z z) #s(literal 1 binary64))
(fma.f64 (neg.f64 (.f64 (.f64 z z) #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 z z) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (.f64 (.f64 z z) #s(literal -1 binary64))) (fabs.f64 (.f64 (.f64 z z) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal 2 binary64)) (.f64 z z) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 (neg.f64 z)) z) (.f64 (neg.f64 (neg.f64 z)) z) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)) (.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 z) z) (.f64 (neg.f64 z) z) #s(literal 1 binary64))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 z) #s(literal 1 binary64))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) z #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 z z) #s(literal -1 binary64)) (.f64 (.f64 z z) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 z z) (.f64 (.f64 z #s(literal -1 binary64)) (.f64 z #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 z z) (.f64 (.f64 (neg.f64 z) #s(literal -1 binary64)) (.f64 (neg.f64 z) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 z z) (.f64 (.f64 (neg.f64 z) #s(literal 1 binary64)) (.f64 (neg.f64 z) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 z z) (pow.f64 (.f64 (neg.f64 z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 z z) (.f64 z z) #s(literal 1 binary64))
(fma.f64 z (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 12 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (*.f64 (neg.f64 z) z)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 z)) (pow.f64 z #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 z) z) (*.f64 z z)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 4 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 12 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 8 binary64))) (pow.f64 z #s(literal 4 binary64)))))
(+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 z) z) (*.f64 z z)))
(+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))

eval237.0ms (2.7%)

Memory: 27.1MiB live, 124.3MiB allocated
Compiler: Compiled 25 088 to 2 790 computations (88.9% saved)

prune124.0ms (1.4%)

Memory

5.2MiB live, 50.1MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	789	13	802
Fresh	8	4	12
Picked	4	1	5
Done	0	1	1
Total	801	19	820

Accuracy

100.0%

Counts

820 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.8%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
	87.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (.f64 (.f64 z z) y)))
▶	45.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (* y z) z) y) (.f64 (.f64 z z) y)))
	49.4%	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) y)
	90.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
	49.6%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)))
	45.2%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))
▶	55.8%	#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 z (.f64 (*.f64 z x) y))))
	56.4%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z (*.f64 y x)))))
	55.5%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (.f64 (pow.f64 (.f64 z y) #s(literal -1 binary64)) (pow.f64 (*.f64 z x) #s(literal -1 binary64))))
	32.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (/.f64 (.f64 (neg.f64 z) y) x) (/.f64 z (.f64 y y)))))
	29.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (.f64 y x) (.f64 (.f64 y x) #s(literal 1 binary64))) (.f64 (.f64 y x) (*.f64 y x))))
	34.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) (.f64 z y) y) (.f64 (*.f64 y y) x)))
	54.5%	#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 (/ (+ (* (* y z) (neg z)) y) (* y y)) (/.f64 #s(literal 1 binary64) y)) x))
✓	58.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
▶	17.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z z))))

Compiler

Compiled 804 to 560 computations (30.3% saved)

simplify217.0ms (2.4%)

Memory

-2.8MiB live, 101.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	346
0	70	344
1	142	337
2	369	331
3	1650	316
4	4571	316
0	8048	316

Stop Event

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

Calls

Call 1

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

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

localize206.0ms (2.3%)

Memory

-14.0MiB live, 256.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	6.4586104227102	(.f64 (.f64 (*.f64 z z) y) x)
accuracy	7.769856927341159	(.f64 (.f64 z z) y)
accuracy	21.83926100712444	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z z))
accuracy	30.17684597076595	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z z))))
accuracy	0.0	(*.f64 z z)
accuracy	5.482338086245868	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (* y z) z) y) (.f64 (.f64 z z) y)))
accuracy	7.769856927341159	(.f64 (.f64 z z) y)
accuracy	31.721625556046394	#s(approx (+ (* (* y z) z) y) (.f64 (.f64 z z) y))
accuracy	0.1171875	(.f64 (.f64 z x) z)
accuracy	0.3788005254140563	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z x) z) y))
accuracy	5.996176632931254	(.f64 (.f64 (*.f64 z x) z) y)
accuracy	27.186177950558086	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z x) z) y)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.1875	(/.f64 #s(approx (/ (+ (* (* y z) (neg z)) y) (* y y)) (/.f64 #s(literal 1 binary64) y)) x)
accuracy	30.17684597076595	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (* y z) (neg z)) y) (* y y)) (/.f64 #s(literal 1 binary64) y)) x))
accuracy	30.73757778949279	#s(approx (/ (+ (* (* y z) (neg z)) y) (* y y)) (/.f64 #s(literal 1 binary64) y))
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.0	(neg.f64 (fma.f64 z z #s(literal 1 binary64)))
accuracy	0.2421875	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy	5.618374350839998	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))

Samples

108.0ms

256×

valid

Compiler

Compiled 248 to 41 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-neg: 27.0ms (36.3% of total)

ival-div: 20.0ms (26.9% of total)

ival-mult: 18.0ms (24.2% of total)

ival-add: 5.0ms (6.7% of total)

ival-pow: 3.0ms (4% of total)

ival-sub: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (0.8%)

Memory

-1.1MiB live, 102.8MiB allocated

Counts

22 → 48

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	y	@	0	((/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (/ -1 x) (neg (+ (* z z) 1)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (/ (+ (* (* y z) (neg z)) y) (* y y)) (/ 1 y) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* z x) z) y)) (* (* (* z x) z) y) (* (* z x) z) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (* (- (/ 1 (* (* (* z z) y) x)) (/ (/ 1 x) y)) (* z z)) (- (/ 1 (* (* (* z z) y) x)) (/ (/ 1 x) y)) (* z z) (* (* (* z z) y) x))
19.0ms	z	@	-inf	((/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (/ -1 x) (neg (+ (* z z) 1)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (/ (+ (* (* y z) (neg z)) y) (* y y)) (/ 1 y) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* z x) z) y)) (* (* (* z x) z) y) (* (* z x) z) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (* (- (/ 1 (* (* (* z z) y) x)) (/ (/ 1 x) y)) (* z z)) (- (/ 1 (* (* (* z z) y) x)) (/ (/ 1 x) y)) (* z z) (* (* (* z z) y) x))
4.0ms	y	@	-inf	((/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (/ -1 x) (neg (+ (* z z) 1)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (/ (+ (* (* y z) (neg z)) y) (* y y)) (/ 1 y) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* z x) z) y)) (* (* (* z x) z) y) (* (* z x) z) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (* (- (/ 1 (* (* (* z z) y) x)) (/ (/ 1 x) y)) (* z z)) (- (/ 1 (* (* (* z z) y) x)) (/ (/ 1 x) y)) (* z z) (* (* (* z z) y) x))
4.0ms	x	@	-inf	((/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (/ -1 x) (neg (+ (* z z) 1)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (/ (+ (* (* y z) (neg z)) y) (* y y)) (/ 1 y) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* z x) z) y)) (* (* (* z x) z) y) (* (* z x) z) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (* (- (/ 1 (* (* (* z z) y) x)) (/ (/ 1 x) y)) (* z z)) (- (/ 1 (* (* (* z z) y) x)) (/ (/ 1 x) y)) (* z z) (* (* (* z z) y) x))
4.0ms	x	@	0	((/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/ (/ -1 x) y) (/ -1 x) (neg (+ (* z z) 1)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (/ (+ (* (* y z) (neg z)) y) (* y y)) (/ 1 y) (/ (pow (* (+ (* z z) 1) x) -1) y) (/ 1 (* (* (* z x) z) y)) (* (* (* z x) z) y) (* (* z x) z) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (* (- (/ 1 (* (* (* z z) y) x)) (/ (/ 1 x) y)) (* z z)) (- (/ 1 (* (* (* z z) y) x)) (/ (/ 1 x) y)) (* z z) (* (* (* z z) y) x))

simplify116.0ms (1.3%)

Memory

28.3MiB live, 215.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	529
1	276	514
2	835	502
3	4058	492
0	8176	482

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

rewrite182.0ms (2%)

Memory

-11.6MiB live, 271.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	294
0	70	292
1	249	284
2	1666	256
0	8170	256

Stop Event

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

Counts

22 → 346

Calls

Call 1

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

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

eval68.0ms (0.8%)

Memory: -0.7MiB live, 176.0MiB allocated
Compiler: Compiled 15 293 to 1 900 computations (87.6% saved)

prune368.0ms (4.1%)

Memory

-65.8MiB live, 164.7MiB allocated

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	441	6	447
Fresh	3	9	12
Picked	1	4	5
Done	0	2	2
Total	445	21	466

Accuracy

100.0%

Counts

466 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.5%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (.f64 (.f64 z z) y)))
✓	45.4%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (* y z) z) y) (.f64 (.f64 z z) y)))
	90.6%	(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
	49.4%	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) y)
	90.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
	49.0%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (* y z) z) y) (.f64 (.f64 z y) z)) x))
	56.2%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 (pow.f64 (.f64 (.f64 z x) z) #s(literal -1 binary64)) y))
	49.6%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y x)))
✓	55.8%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z x) z) y)))
	55.1%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z y) (*.f64 z x))))
	55.2%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 z y)) z)))
	56.4%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z (*.f64 y x)))))
	90.6%	#s(approx (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x)))
	32.2%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (fma.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (/.f64 (.f64 (neg.f64 z) y) x) (/.f64 z (.f64 y y)))))
	29.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (.f64 (neg.f64 z) z) (.f64 y x) (.f64 (.f64 y x) #s(literal 1 binary64))) (.f64 (.f64 y x) (*.f64 y x))))
	34.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) (.f64 z y) y) (.f64 (*.f64 y y) x)))
	54.5%	#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 (/ (+ (* (* y z) (neg z)) y) (* y y)) (/.f64 #s(literal 1 binary64) y)) x))
✓	58.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
✓	17.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (/ (+ (* (* y z) (neg z)) y) (* y y)) x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z z))))

Compiler

Compiled 1 415 to 535 computations (62.2% saved)

regimes119.0ms (1.3%)

Memory

5.5MiB live, 285.4MiB allocated

Counts

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

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

Calls

8 calls:

29.0ms	x
19.0ms	z
13.0ms	(/.f64 #s(literal 1 binary64) x)
13.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
13.0ms	y

Results

Accuracy	Segments	Branch
99.1%	2	`(*.f64 z z)`
99.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.1%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
91.7%	1	`(/.f64 #s(literal 1 binary64) x)`
95.8%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
91.7%	1	`x`
95.9%	2	`y`
99.1%	2	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes76.0ms (0.8%)

Memory

15.3MiB live, 112.8MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

44.0ms	z
10.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
9.0ms	(*.f64 z z)
8.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
99.1%	2	`(*.f64 z z)`
99.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.1%	2	`z`
99.1%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes78.0ms (0.9%)

Memory

-28.6MiB live, 108.9MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

23.0ms	(*.f64 z z)
23.0ms	z
8.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
6.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
99.1%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.1%	2	`(*.f64 z z)`
99.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.1%	2	`z`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes35.0ms (0.4%)

Memory

33.8MiB live, 78.4MiB allocated

Counts

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

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 z (.f64 (*.f64 z x) y))))

Calls

4 calls:

17.0ms	z
6.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
6.0ms	(*.f64 z z)
5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
98.9%	2	`(*.f64 z z)`
98.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.9%	2	`z`
99.0%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes23.0ms (0.3%)

Memory

4.0MiB live, 51.9MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

7.0ms	z
6.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
5.0ms	(*.f64 z z)
5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
98.9%	2	`(*.f64 z z)`
98.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.9%	2	`z`
98.7%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes18.0ms (0.2%)

Memory

-10.0MiB live, 36.5MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

7.0ms	z
5.0ms	(*.f64 z z)
4.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
98.8%	2	`(*.f64 z z)`
98.8%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.8%	2	`z`

Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes30.0ms (0.3%)

Memory

-4.7MiB live, 44.2MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

16.0ms	(*.f64 z z)
5.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
5.0ms	z
4.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
98.7%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
98.7%	2	`(*.f64 z z)`
98.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.7%	2	`z`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes18.0ms (0.2%)

Memory

-9.6MiB live, 37.8MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

6.0ms	(*.f64 z z)
4.0ms	z
4.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
3.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
98.7%	2	`(*.f64 z z)`
98.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
98.7%	2	`z`
87.2%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes12.0ms (0.1%)

Memory

33.3MiB live, 33.3MiB 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 #s(approx (/ (+ (* (* y z) (neg z)) y) (* y 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(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 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x))

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

Calls

5 calls:

3.0ms	z
3.0ms	y
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
83.8%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
63.7%	3	`y`
94.6%	2	`(*.f64 z z)`
94.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
94.6%	2	`z`

Compiler

Compiled 21 to 25 computations (-19% saved)

regimes13.0ms (0.1%)

Memory

-20.4MiB live, 25.9MiB 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 #s(approx (/ (+ (* (* y z) (neg z)) y) (* y 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(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
58.8%	1	`(/.f64 #s(literal 1 binary64) x)`
58.8%	1	`x`
87.3%	2	`(*.f64 z z)`
87.3%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
87.3%	2	`z`

Compiler

Compiled 13 to 21 computations (-61.5% saved)

regimes17.0ms (0.2%)

Memory

-11.7MiB live, 33.7MiB allocated

Accuracy

Total -3.1b remaining (-11.9%)

Threshold costs -3.1b (-11.9%)

Counts

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

Calls

7 calls:

5.0ms	y
2.0ms	(/.f64 #s(literal 1 binary64) x)
2.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
2.0ms	z
2.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
58.8%	1	`(/.f64 #s(literal 1 binary64) x)`
58.8%	1	`y`
58.8%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
58.8%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
58.8%	1	`(*.f64 z z)`
58.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
58.8%	1	`z`

Compiler

Compiled 31 to 37 computations (-19.4% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.768006210023941e+302	8.677316426325634e+304

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch12.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.3382651941108984e+76	1.5479886514034331e+78

Samples

6.0ms

112×

valid

Compiler

Compiled 399 to 274 computations (31.3% saved)

Precisions

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

ival-div: 2.0ms (55.4% of total)

ival-add: 1.0ms (27.7% of total)

ival-mult: 1.0ms (27.7% 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

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.768006210023941e+302	8.677316426325634e+304

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.768006210023941e+302	8.677316426325634e+304

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch10.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.893214602927474e+79	3.5781647804393e+80

Samples

5.0ms

96×

valid

Compiler

Compiled 278 to 225 computations (19.1% saved)

Precisions

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

ival-div: 1.0ms (33.3% of total)

ival-mult: 1.0ms (33.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Memory

-26.1MiB live, 22.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0009215207056541739	0.030218925493642725

Samples

12.0ms

112×

valid

Compiler

Compiled 308 to 246 computations (20.1% saved)

Precisions

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

ival-mult: 2.0ms (54% of total)

ival-div: 1.0ms (27% of total)

ival-add: 1.0ms (27% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.768006210023941e+302	8.677316426325634e+304

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0009215207056541739	0.030218925493642725

Compiler

Compiled 343 to 267 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0009215207056541739	0.030218925493642725

Compiler

Compiled 343 to 267 computations (22.2% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0009215207056541739	0.030218925493642725

Compiler

Compiled 343 to 260 computations (24.2% saved)

simplify49.0ms (0.5%)

Memory

-7.7MiB live, 38.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	500
1	162	497
2	336	496
3	1258	496
4	4319	496

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) (/.f64 (pow.f64 (fma.f64 y (.f64 z z) y) #s(literal -1 binary64)) x) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (*.f64 z x) y)))))
(if (<=.f64 z #s(literal 84999999999999999179297299374994088452370334943378553929760049698256615112704 binary64)) #s(approx (pow (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) -1/2) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 (.f64 (neg.f64 z) z) #s(literal 1 binary64)))) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (*.f64 z x) y)))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (*.f64 z x) y)))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 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 z (.f64 (*.f64 z x) y)))))
(if (<=.f64 z #s(literal 52000000000000002909925150533673617992195009915161309500643751790915234130034688 binary64)) #s(approx (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 y x))) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (*.f64 z x) y)))))
(if (<=.f64 z #s(literal 1080863910568919/36028797018963968 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x)) #s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (*.f64 z x) y)))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))) #s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (*.f64 z x) y)))))
(if (<=.f64 z #s(literal 1080863910568919/36028797018963968 binary64)) #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 (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (*.f64 z x) y)))))
(if (<=.f64 z #s(literal 1080863910568919/36028797018963968 binary64)) #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 (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z (*.f64 y x))))))
(if (<=.f64 z #s(literal 1080863910568919/36028797018963968 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Outputs
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) (/.f64 (pow.f64 (fma.f64 y (.f64 z z) y) #s(literal -1 binary64)) x) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (*.f64 z x) y)))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) (/.f64 (pow.f64 (fma.f64 y (.f64 z z) y) #s(literal -1 binary64)) x) #s(approx (/ (/ (/ -1 x) y) (neg (+ ( z z) 1))) (pow.f64 (.f64 z (.f64 (*.f64 z x) y)) #s(literal -1 binary64))))
(if (<=.f64 z #s(literal 84999999999999999179297299374994088452370334943378553929760049698256615112704 binary64)) #s(approx (pow (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) -1/2) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 (.f64 (neg.f64 z) z) #s(literal 1 binary64)))) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (*.f64 z x) y)))))
(if (<=.f64 z #s(literal 84999999999999999179297299374994088452370334943378553929760049698256615112704 binary64)) #s(approx (pow (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) -1/2) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 (.f64 (neg.f64 z) z) #s(literal 1 binary64)))) #s(approx (/ (/ (/ -1 x) y) (neg (+ ( z z) 1))) (pow.f64 (.f64 z (.f64 (*.f64 z x) y)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (*.f64 z x) y)))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #s(approx (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (pow.f64 (.f64 z (.f64 (*.f64 z x) y)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 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 z (.f64 (*.f64 z x) y)))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 y z) z y)) #s(approx (/ (/ (/ -1 x) y) (neg (+ ( z z) 1))) (pow.f64 (.f64 z (.f64 (*.f64 z x) y)) #s(literal -1 binary64))))
(if (<=.f64 z #s(literal 52000000000000002909925150533673617992195009915161309500643751790915234130034688 binary64)) #s(approx (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (.f64 y x))) #s(approx (/ (pow ( (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (*.f64 z x) y)))))
(if (<=.f64 z #s(literal 52000000000000002909925150533673617992195009915161309500643751790915234130034688 binary64)) #s(approx (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 y x))) #s(approx (/ (/ (/ -1 x) y) (neg (+ ( z z) 1))) (pow.f64 (.f64 z (.f64 (*.f64 z x) y)) #s(literal -1 binary64))))
(if (<=.f64 z #s(literal 1080863910568919/36028797018963968 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x)) #s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (*.f64 z x) y)))))
(if (<=.f64 z #s(literal 1080863910568919/36028797018963968 binary64)) #s(approx (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x)) #s(approx (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (pow.f64 (.f64 z (.f64 (*.f64 z x) y)) #s(literal -1 binary64))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))) #s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (*.f64 z x) y)))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) #s(approx (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (pow.f64 (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1 binary64))) #s(approx (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (pow.f64 (.f64 z (.f64 (*.f64 z x) y)) #s(literal -1 binary64))))
(if (<=.f64 z #s(literal 1080863910568919/36028797018963968 binary64)) #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 (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 (*.f64 z x) y)))))
(if (<=.f64 z #s(literal 1080863910568919/36028797018963968 binary64)) #s(approx (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (pow.f64 y #s(literal -1 binary64))) x)) #s(approx (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (pow.f64 (.f64 z (.f64 (*.f64 z x) y)) #s(literal -1 binary64))))
(if (<=.f64 z #s(literal 1080863910568919/36028797018963968 binary64)) #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 (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z (*.f64 y x))))))
(if (<=.f64 z #s(literal 1080863910568919/36028797018963968 binary64)) #s(approx (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (pow.f64 y #s(literal -1 binary64))) x)) #s(approx (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (pow.f64 (.f64 z (.f64 z (*.f64 y x))) #s(literal -1 binary64))))
(if (<=.f64 z #s(literal 1080863910568919/36028797018963968 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))))
(if (<=.f64 z #s(literal 1080863910568919/36028797018963968 binary64)) #s(approx (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (pow.f64 y #s(literal -1 binary64))) x)) #s(approx (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (pow.f64 (.f64 (.f64 (*.f64 z z) y) x) #s(literal -1 binary64))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ (/ -1 x) y) (neg (+ (* z z) 1))) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))

soundness1.9s (20.8%)

Memory

31.8MiB live, 1 213.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	14	29
1	58	29
2	376	29
3	3126	29
0	8640	26
0	40	185
0	65	185
1	249	182
2	1633	178
0	8700	178
0	152	899
1	412	872
2	1388	811
3	5890	811
0	8299	779
0	106	529
1	276	514
2	835	502
3	4058	492
0	8176	482
0	32	171
0	53	151
1	190	151
2	1193	148
0	8896	148
0	52	227
1	131	219
2	414	207
3	1898	197
4	7530	197
0	8068	190

Stop Event

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

Compiler

Compiled 1 079 to 539 computations (50% saved)

preprocess498.0ms (5.6%)

Memory: -19.4MiB live, 691.9MiB allocated
Remove: (abs z)
Compiler: Compiled 2 336 to 994 computations (57.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze96.0ms (1.1%)

sample1.2s (13%)

explain184.0ms (2.1%)

preprocess208.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify77.0ms (0.9%)

localize22.0ms (0.2%)

series27.0ms (0.3%)

simplify120.0ms (1.3%)

rewrite215.0ms (2.4%)

eval46.0ms (0.5%)

prune18.0ms (0.2%)

simplify198.0ms (2.2%)

localize216.0ms (2.4%)

series114.0ms (1.3%)

simplify344.0ms (3.9%)

rewrite140.0ms (1.6%)

eval263.0ms (2.9%)

prune115.0ms (1.3%)

simplify153.0ms (1.7%)

localize175.0ms (2%)

series102.0ms (1.1%)

simplify184.0ms (2.1%)

rewrite270.0ms (3%)

eval237.0ms (2.7%)

prune124.0ms (1.4%)

simplify217.0ms (2.4%)

localize206.0ms (2.3%)

series67.0ms (0.8%)

simplify116.0ms (1.3%)

rewrite182.0ms (2%)

eval68.0ms (0.8%)

prune368.0ms (4.1%)

regimes119.0ms (1.3%)

regimes76.0ms (0.8%)

regimes78.0ms (0.9%)

regimes35.0ms (0.4%)

regimes23.0ms (0.3%)

regimes18.0ms (0.2%)

regimes30.0ms (0.3%)

regimes18.0ms (0.2%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify49.0ms (0.5%)

soundness1.9s (20.8%)

preprocess498.0ms (5.6%)

end0.0ms (0%)

Profiling