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

start0.0ms (0%)

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

analyze110.0ms (1.4%)

Memory

-2.0MiB live, 96.0MiB allocated; 33ms collecting garbage

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)

sample1.1s (13.6%)

Memory

48.0MiB live, 1 639.6MiB allocated; 318ms collecting garbage

Samples

667.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 377.0ms

ival-mult: 170.0ms (45.2% of total)

ival-div: 126.0ms (33.5% of total)

ival-add: 62.0ms (16.5% of total)

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

exact: 6.0ms (1.6% of total)

ival-assert: 4.0ms (1.1% of total)

adjust: 3.0ms (0.8% of total)

Bogosity

explain156.0ms (2%)

Memory

18.5MiB live, 208.9MiB allocated; 25ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`	n/o	14	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	63
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	61
↳	`(*.f64 z z)`	overflow	61
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	14	0

Confusion

	Predicted +	Predicted -
+	24	0
-	4	228

Precision

0.8571428571428571

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	24	0	0
-	4	0	228

Precision?

0.8571428571428571

Recall?

1.0

Freqs

test

number	freq
0	228
1	28

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms

512×

valid

Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 8.0ms (43.8% of total)

ival-mult: 7.0ms (38.3% of total)

ival-add: 3.0ms (16.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess301.0ms (3.8%)

Memory

-55.7MiB live, 75.5MiB allocated; 129ms collecting garbage

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; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.0%	(/.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)

simplify68.0ms (0.9%)

Memory

6.8MiB live, 53.9MiB allocated; 17ms collecting garbage

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

localize29.0ms (0.4%)

Memory

17.0MiB live, 57.5MiB allocated; 13ms collecting garbage

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	0.5233268660634829	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
accuracy	7.220428921776278	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

23.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 9.0ms (63% of total)

ival-div: 4.0ms (28% of total)

ival-add: 1.0ms (7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated; 0ms collecting garbage

Counts

5 → 19

Calls

Call 1

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

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

Calls

9 calls:

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

simplify168.0ms (2.1%)

Memory

-37.2MiB live, 200.8MiB allocated; 46ms collecting garbage

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)

rewrite251.0ms (3.2%)

Memory

-0.9MiB live, 287.6MiB allocated; 53ms collecting garbage

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))))))))
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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))))

eval53.0ms (0.7%)

Memory: 38.5MiB live, 81.7MiB allocated; 10ms collecting garbage
Compiler: Compiled 9 958 to 1 322 computations (86.7% saved)

prune33.0ms (0.4%)

Memory

3.7MiB live, 48.4MiB allocated; 5ms collecting garbage

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

93.8%

Counts

366 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.9%	(pow.f64 (pow.f64 (.f64 (fma.f64 y (.f64 z z) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	87.9%	(pow.f64 (.f64 (fma.f64 y (.f64 z z) y) x) #s(literal -1 binary64))
	87.8%	(/.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))))
	92.7%	(/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)
▶	92.7%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
	88.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	48.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
	87.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
▶	68.0%	(*.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)))
▶	50.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
▶	60.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
▶	39.8%	#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)))
	40.1%	#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)))
	48.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))

Compiler

Compiled 472 to 352 computations (25.4% saved)

simplify134.0ms (1.7%)

Memory

-30.7MiB live, 265.4MiB allocated; 46ms collecting garbage

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	263
0	61	260
1	122	260
2	341	258
3	1296	258
4	5789	258
0	8361	258

Stop Event

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

Calls

Call 1

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

localize111.0ms (1.4%)

Memory

-3.1MiB live, 229.1MiB allocated; 27ms collecting garbage

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	0.21484375	(/.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy	5.044561302688599	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))
accuracy	17.62083943194579	(*.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	5.804112421066871	(.f64 (.f64 z z) y)
accuracy	6.307534621675995	(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x))) (.f64 z z))
accuracy	7.381908727315483	(.f64 (.f64 (*.f64 z z) y) x)
accuracy	31.250325320794936	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x))) (.f64 z z)))
accuracy	0.0	(neg.f64 z)
accuracy	0.6111651526701954	(/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x)
accuracy	7.235323256089801	(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y)
accuracy	31.69555930430439	#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	0.21484375	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy	25.46615717941855	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.0	(neg.f64 y)
accuracy	0.43140656569082997	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
accuracy	6.752473038417216	(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64)))

Samples

68.0ms

256×

valid

Compiler

Compiled 237 to 35 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 19.0ms (46.6% of total)

ival-mult: 9.0ms (22.1% of total)

ival-add: 5.0ms (12.3% of total)

ival-pow: 3.0ms (7.4% of total)

ival-sub: 2.0ms (4.9% of total)

ival-neg: 2.0ms (4.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series65.0ms (0.8%)

Memory

20.4MiB live, 114.1MiB allocated; 31ms collecting garbage

Counts

22 → 64

Calls

Call 1

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

Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ -1 (* x (+ 1 (pow z 2))))
(/ -1 x)
(/ 1 (* x y))
(/ 1 x)
(/ (+ 1 (* -1 (pow z 2))) (* x y))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (* x (pow z 2)))
(/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) x)
(* -1 (/ (- (pow z 2) 1) (* x (* y (- 1 (pow z 4))))))
(/ -1 (* x (* y (- 1 (pow z 4)))))
(/ -1 (* x y))
(* x (* y (pow z 2)))
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 y)) (* x (pow z 2))))
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 y)) x))
(/ (+ 1 (* -1 (pow z 2))) y)
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (* y (pow z 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) y)
(* -1 y)
(* y (pow z 2))
(* -1 (/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (* y (pow z 2))))
(* -1 (/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(- (/ (pow z 2) x) (/ 1 x))
(- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))
(- (* (pow z 2) (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
1
(+ 1 (pow z 2))
(/ 1 y)
(+ (* -1 (/ (pow z 2) y)) (/ 1 y))
(+ 1 (* -1 (pow z 2)))
(/ -1 (* x (* y (pow z 4))))
(/ (- (/ (pow z 2) (* x y)) (/ 1 (* x y))) (pow z 4))
(/ -1 (* x (* y (pow z 2))))
(/ (- (/ (pow z 2) (* x y)) (/ 1 (* x y))) (pow z 2))
(- (* -1 (/ (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 z)
(+ 1 (* -1 (pow z 4)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ -1 (* x (pow z 2)))
(/ (- (/ 1 (* x (pow z 2))) (/ 1 x)) (pow z 2))
(/ (- (/ 1 (* x (pow z 2))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(/ (- (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6)))) (+ (/ 1 x) (/ 1 (* x (pow z 4))))) (pow z 2))
(pow z 2)
(* (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 y)) (/ 1 (* x (* 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
13.0ms	y	@	0	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (+ (* z z) -1)) (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (/ (/ -1 x) y) (neg y) (neg z) (* (* (* z z) y) x) (* (* z z) y) (- 1 (pow z 4)))
13.0ms	z	@	0	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (+ (* z z) -1)) (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (/ (/ -1 x) y) (neg y) (neg z) (* (* (* z z) y) x) (* (* z z) y) (- 1 (pow z 4)))
9.0ms	x	@	0	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (+ (* z z) -1)) (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (/ (/ -1 x) y) (neg y) (neg z) (* (* (* z z) y) x) (* (* z z) y) (- 1 (pow z 4)))
6.0ms	x	@	inf	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (+ (* z z) -1)) (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (/ (/ -1 x) y) (neg y) (neg z) (* (* (* z z) y) x) (* (* z z) y) (- 1 (pow z 4)))
5.0ms	y	@	-inf	((/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (+ (* (neg z) z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (+ (* z z) -1)) (/ (/ (/ -1 x) y) (- 1 (pow z 4))) (/ (/ -1 x) y) (neg y) (neg z) (* (* (* z z) y) x) (* (* z z) y) (- 1 (pow z 4)))

simplify206.0ms (2.6%)

Memory

1.5MiB live, 203.8MiB allocated; 45ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	850
1	374	830
2	1022	779
3	4522	768
0	8129	747

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 64

Calls

Call 1

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

rewrite275.0ms (3.5%)

Memory

8.1MiB live, 241.4MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	211
0	61	208
1	230	207
2	1767	189
0	8174	189

Stop Event

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

Counts

22 → 636

Calls

Call 1

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

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

eval182.0ms (2.3%)

Memory: -5.5MiB live, 273.0MiB allocated; 26ms collecting garbage
Compiler: Compiled 22 475 to 2 890 computations (87.1% saved)

prune52.0ms (0.7%)

Memory

16.0MiB live, 73.2MiB allocated; 4ms collecting garbage

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	718	13	731
Fresh	4	5	9
Picked	4	1	5
Done	0	0	0
Total	726	19	745

Accuracy

99.9%

Counts

745 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.9%	(pow.f64 (pow.f64 (.f64 (fma.f64 y (.f64 z z) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	52.8%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ (* z z) 1) (*.f64 z z))) (neg.f64 y))
	90.4%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 (neg.f64 z) z #s(literal -1 binary64)))
	88.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	48.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
▶	87.9%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
▶	92.7%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)))
	23.5%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) y) x) (.f64 z z)) (.f64 z z)))
	52.8%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) y))
	60.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
	53.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
	59.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y))
	48.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (*.f64 y x)) z) z))
✓	60.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
	39.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x))) (*.f64 z z)))
	60.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x))
	48.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))
▶	60.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
▶	48.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 y z)) (neg.f64 z))))

Compiler

Compiled 747 to 533 computations (28.6% saved)

simplify204.0ms (2.6%)

Memory

-6.4MiB live, 128.6MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	302
0	70	301
1	140	301
2	343	298
3	1082	298
4	2754	295
5	4638	295
6	5543	295
7	5795	295
8	6056	295
9	6544	295
10	7392	295
11	7492	295
12	7673	295
13	7686	295
14	7686	295
15	7686	295
16	7686	295
0	8336	295

Stop Event

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

Calls

Call 1

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

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

localize187.0ms (2.4%)

Memory

-30.2MiB live, 169.9MiB allocated; 35ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.5758825072881865	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 y z)) (neg.f64 z))
accuracy	7.669892682328132	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 y z))
accuracy	8.018446363874613	(.f64 (.f64 z z) x)
accuracy	31.250325320794936	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 y z)) (neg.f64 z))))
accuracy	0.0	(neg.f64 y)
accuracy	0.43140656569082997	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ (* z z) 1) (*.f64 z z))) (neg.f64 y))
accuracy	6.752473038417216	(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (+ (* z z) 1) (*.f64 z z)))
accuracy	30.61578383579899	#s(approx (+ (* z z) 1) (*.f64 z z))
accuracy	0.0	(*.f64 z z)
accuracy	0.21273215476030194	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
accuracy	0.5233268660634829	(fma.f64 y (*.f64 z z) y)
accuracy	7.0938789623838625	(.f64 (fma.f64 y (.f64 z z) y) x)
accuracy	0.0	(*.f64 y x)
accuracy	0.4726815354137844	(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy	25.46615717941855	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy	0.0	(neg.f64 y)
accuracy	0.21273215476030194	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y)))
accuracy	0.31034957830643556	(.f64 (.f64 (fma.f64 z z #s(literal 1 binary64)) x) (neg.f64 y))
accuracy	6.6482527898572075	(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)

Samples

156.0ms

256×

valid

Compiler

Compiled 238 to 39 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 53.0ms (64.5% of total)

ival-div: 21.0ms (25.5% of total)

ival-add: 4.0ms (4.9% of total)

ival-sub: 2.0ms (2.4% of total)

ival-neg: 2.0ms (2.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series86.0ms (1.1%)

Memory

2.1MiB live, 56.3MiB allocated; 13ms collecting garbage

Counts

21 → 64

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
42.0ms	y	@	-inf	((/ -1 (* (* (+ (* z z) 1) x) (neg y))) (* (* (+ (* z z) 1) x) (neg y)) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* z z) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (neg z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (neg y) (* (* z z) x))
13.0ms	x	@	inf	((/ -1 (* (* (+ (* z z) 1) x) (neg y))) (* (* (+ (* z z) 1) x) (neg y)) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* z z) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (neg z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (neg y) (* (* z z) x))
6.0ms	x	@	-inf	((/ -1 (* (* (+ (* z z) 1) x) (neg y))) (* (* (+ (* z z) 1) x) (neg y)) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* z z) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (neg z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (neg y) (* (* z z) x))
6.0ms	x	@	0	((/ -1 (* (* (+ (* z z) 1) x) (neg y))) (* (* (+ (* z z) 1) x) (neg y)) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* z z) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (neg z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (neg y) (* (* z z) x))
4.0ms	y	@	inf	((/ -1 (* (* (+ (* z z) 1) x) (neg y))) (* (* (+ (* z z) 1) x) (neg y)) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ 1 (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* z z) (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/ (/ -1 x) (+ (* z z) 1)) (/ -1 x) (+ (* z z) 1) (/ (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (neg z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (neg y) (* (* z z) x))

simplify229.0ms (2.9%)

Memory

9.4MiB live, 195.9MiB allocated; 56ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	746
1	407	710
2	1254	677
3	6108	672
0	8329	655

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 62

Calls

Call 1

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

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

rewrite198.0ms (2.5%)

Memory

5.1MiB live, 279.0MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	248
0	70	247
1	248	220
2	1869	216
0	8199	216

Stop Event

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

Counts

21 → 483

Calls

Call 1

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

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

eval239.0ms (3%)

Memory: -8.0MiB live, 234.6MiB allocated; 68ms collecting garbage
Compiler: Compiled 15 300 to 2 103 computations (86.3% saved)

prune25.0ms (0.3%)

Memory

29.5MiB live, 83.4MiB allocated; 5ms collecting garbage

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	508	13	521
Fresh	4	9	13
Picked	4	1	5
Done	0	1	1
Total	516	24	540

Accuracy

100.0%

Counts

540 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.4%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 (neg.f64 z) z #s(literal -1 binary64)))
▶	88.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	48.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
	50.6%	(/.f64 #s(approx (/ (/ -1 x) (+ (* z z) 1)) (/.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) x) z) z)) (neg.f64 y))
	96.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 y z)) z (*.f64 y x)))
▶	88.7%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))
	90.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
	92.7%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
	48.1%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( y (* z z)) y) (.f64 (.f64 z z) y)) x))
▶	99.3%	(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x z) z x) (neg.f64 y)))
	57.7%	(/.f64 #s(literal -1 binary64) #s(approx (* (* (+ (* z z) 1) x) (neg y)) (.f64 (.f64 (neg.f64 z) x) (*.f64 y z))))
	52.8%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) y))
	60.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	60.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
	53.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
	59.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) y))
	48.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (*.f64 y x)) z) z))
✓	60.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
▶	60.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x))
✓	60.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
	48.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 1 binary64)) z) (.f64 (*.f64 (neg.f64 z) y) x))))
▶	50.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/.f64 #s(approx (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) y) (.f64 (neg.f64 z) x))) (neg.f64 z))))
	58.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/.f64 #s(approx (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y z) x))) (neg.f64 z))))
	52.8%	#s(approx (/ -1 (* (* (+ (* z z) 1) x) (neg y))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) x) y))

Compiler

Compiled 1 028 to 694 computations (32.5% saved)

simplify167.0ms (2.1%)

Memory

-4.1MiB live, 231.2MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	51	379
0	75	381
1	149	376
2	348	365
3	1088	365
4	3152	365
5	5364	360
6	5894	352
7	6230	352
8	7130	352
0	8009	352

Stop Event

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

Calls

Call 1

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

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

localize143.0ms (1.8%)

Memory

1.9MiB live, 237.6MiB allocated; 25ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5758825072881865	(/.f64 #s(approx (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) y) (.f64 (neg.f64 z) x))) (neg.f64 z))
accuracy	0.7562597097049811	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) y) (.f64 (neg.f64 z) x))
accuracy	5.483828489983219	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y)
accuracy	31.250325320794936	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/.f64 #s(approx (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) y) (.f64 (neg.f64 z) x))) (neg.f64 z))))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(*.f64 y z)
accuracy	0.03515625	(fma.f64 (*.f64 y z) z y)
accuracy	7.220428921776278	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
accuracy	0.0	(*.f64 y z)
accuracy	0.03515625	(fma.f64 (*.f64 y z) z y)
accuracy	0.21273215476030194	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))
accuracy	7.0938789623838625	(.f64 (fma.f64 (.f64 y z) z y) x)
accuracy	0.0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.6111651526701954	(/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x)
accuracy	31.69555930430439	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x))
accuracy	32.282101590421235	#s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y))
accuracy	0.0	(neg.f64 y)
accuracy	0.08203125	(fma.f64 (*.f64 x z) z x)
accuracy	0.21273215476030194	(/.f64 #s(literal -1 binary64) (.f64 (fma.f64 (.f64 x z) z x) (neg.f64 y)))
accuracy	0.31034957830643556	(.f64 (fma.f64 (.f64 x z) z x) (neg.f64 y))

Samples

81.0ms

256×

valid

Compiler

Compiled 248 to 46 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div: 24.0ms (40.6% of total)

ival-mult: 24.0ms (40.6% of total)

ival-add: 4.0ms (6.8% of total)

ival-sub: 3.0ms (5.1% of total)

ival-neg: 2.0ms (3.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series97.0ms (1.2%)

Memory

-14.4MiB live, 135.5MiB allocated; 36ms collecting garbage

Counts

20 → 68

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	y	@	inf	((/ -1 (* (+ (* (* x z) z) x) (neg y))) (* (+ (* (* x z) z) x) (neg y)) (+ (* (* x z) z) x) (* x z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (/ 1 y) (/ 1 (* (+ (* (* y z) z) y) x)) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (/ (/ (- 1 (/ 1 (* z z))) y) (* (neg z) x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/ (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (neg z)) (neg y) (/ (- 1 (/ 1 (* z z))) y))
24.0ms	x	@	inf	((/ -1 (* (+ (* (* x z) z) x) (neg y))) (* (+ (* (* x z) z) x) (neg y)) (+ (* (* x z) z) x) (* x z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (/ 1 y) (/ 1 (* (+ (* (* y z) z) y) x)) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (/ (/ (- 1 (/ 1 (* z z))) y) (* (neg z) x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/ (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (neg z)) (neg y) (/ (- 1 (/ 1 (* z z))) y))
8.0ms	z	@	0	((/ -1 (* (+ (* (* x z) z) x) (neg y))) (* (+ (* (* x z) z) x) (neg y)) (+ (* (* x z) z) x) (* x z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (/ 1 y) (/ 1 (* (+ (* (* y z) z) y) x)) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (/ (/ (- 1 (/ 1 (* z z))) y) (* (neg z) x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/ (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (neg z)) (neg y) (/ (- 1 (/ 1 (* z z))) y))
7.0ms	x	@	-inf	((/ -1 (* (+ (* (* x z) z) x) (neg y))) (* (+ (* (* x z) z) x) (neg y)) (+ (* (* x z) z) x) (* x z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (/ 1 y) (/ 1 (* (+ (* (* y z) z) y) x)) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (/ (/ (- 1 (/ 1 (* z z))) y) (* (neg z) x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/ (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (neg z)) (neg y) (/ (- 1 (/ 1 (* z z))) y))
7.0ms	y	@	-inf	((/ -1 (* (+ (* (* x z) z) x) (neg y))) (* (+ (* (* x z) z) x) (neg y)) (+ (* (* x z) z) x) (* x z) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (+ (* (neg z) z) 1) y) x) (/ (+ (* (neg z) z) 1) y) (/ 1 y) (/ 1 (* (+ (* (* y z) z) y) x)) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (* y z) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (/ (/ (- 1 (/ 1 (* z z))) y) (* (neg z) x)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/ (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (neg z)) (neg y) (/ (- 1 (/ 1 (* z z))) y))

simplify565.0ms (7.2%)

Memory

-27.5MiB live, 312.7MiB allocated; 835ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	747
1	382	708
2	1172	695
3	5405	685
0	8316	673

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 66

Calls

Call 1

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

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

rewrite253.0ms (3.2%)

Memory

-33.1MiB live, 295.3MiB allocated; 90ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	300
0	75	300
1	292	268
2	2120	260
0	8380	257

Stop Event

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

Counts

20 → 344

Calls

Call 1

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

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

eval125.0ms (1.6%)

Memory: 9.8MiB live, 157.3MiB allocated; 59ms collecting garbage
Compiler: Compiled 12 525 to 1 528 computations (87.8% saved)

prune27.0ms (0.3%)

Memory

30.7MiB live, 75.4MiB allocated; 5ms collecting garbage

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	393	10	403
Fresh	9	8	17
Picked	2	3	5
Done	0	2	2
Total	404	23	427

Accuracy

100.0%

Counts

427 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.4%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (fma.f64 (neg.f64 z) z #s(literal -1 binary64)))
✓	88.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	48.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (* y z) z) y) (.f64 (.f64 z z) y)))
	99.3%	(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z x) z x)) (neg.f64 y))
	96.7%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 y z)) z (*.f64 y x)))
✓	88.7%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y z) z y) x))
	90.4%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 z z #s(literal 1 binary64)) (.f64 y x)))
	48.1%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (+ ( (* y z) z) y) (.f64 (.f64 z z) y)) x))
	99.3%	(/.f64 #s(literal 1 binary64) (.f64 y (fma.f64 (.f64 z x) z x)))
	59.4%	(/.f64 #s(literal 1 binary64) #s(approx (* (+ (* (* y z) z) y) x) (.f64 (.f64 (*.f64 z x) z) y)))
	57.7%	(/.f64 #s(literal -1 binary64) #s(approx (* (+ (* (* x z) z) x) (neg y)) (.f64 (.f64 (neg.f64 z) x) (*.f64 y z))))
	52.8%	#s(approx (/ (/ (/ -1 x) (+ (* z z) 1)) (neg y)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) y))
	60.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
	53.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
✓	60.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	60.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (+ (* (neg z) z) 1) y) (/.f64 #s(literal 1 binary64) y)) x))
✓	60.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
	33.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (/ (+ (* (neg z) z) 1) y) x) (.f64 (.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) y) x) z) z)))
	50.6%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) x) z) z) y)))
	48.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 1 binary64)) z) (.f64 (*.f64 (neg.f64 z) y) x))))
	58.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/.f64 #s(approx (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y z) x))) (neg.f64 z))))
	48.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/.f64 #s(approx (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) #s(approx (/ (/ (- 1 (/ 1 (* z z))) y) (* (neg z) x)) (/.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z)))) (.f64 y z)) x))) (neg.f64 z))))
	61.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/.f64 #s(approx (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* y z)) #s(approx (/ (/ (- 1 (/ 1 (* z z))) y) (* (neg z) x)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 y x) z)))) (neg.f64 z))))

Compiler

Compiled 1 816 to 626 computations (65.5% saved)

regimes140.0ms (1.8%)

Memory

-35.3MiB live, 199.0MiB allocated; 26ms collecting garbage

Counts

51 → 1

Calls

Call 1

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

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

Calls

8 calls:

29.0ms	x
20.0ms	(/.f64 #s(literal 1 binary64) x)
19.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))
18.0ms	z
12.0ms	y

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f64 z z)`
99.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.3%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.3%	1	`(/.f64 #s(literal 1 binary64) x)`
99.3%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
99.3%	1	`x`
99.3%	1	`y`
99.3%	1	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes67.0ms (0.8%)

Memory

32.2MiB live, 85.5MiB allocated; 8ms collecting garbage

Counts

25 → 1

Calls

Call 1

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

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

Calls

8 calls:

22.0ms	(/.f64 #s(literal 1 binary64) x)
7.0ms	y
6.0ms	z
6.0ms	x
6.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f64 z z)`
99.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.3%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
99.3%	1	`(/.f64 #s(literal 1 binary64) x)`
99.3%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
99.3%	1	`x`
99.3%	1	`y`
99.3%	1	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes31.0ms (0.4%)

Memory

-1.8MiB live, 44.1MiB allocated; 4ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

12.0ms	y
3.0ms	(/.f64 #s(literal 1 binary64) x)
3.0ms	z
3.0ms	x
3.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))

Results

Accuracy	Segments	Branch
98.6%	2	`(*.f64 z z)`
98.6%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
87.4%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
73.0%	4	`(/.f64 #s(literal 1 binary64) x)`
81.3%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
73.0%	4	`x`
67.3%	2	`y`
98.6%	2	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes33.0ms (0.4%)

Memory

-32.7MiB live, 13.4MiB allocated; 4ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

27.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
2.0ms	z
2.0ms	(*.f64 z z)
2.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
76.1%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
87.3%	2	`(*.f64 z z)`
87.3%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
87.3%	2	`z`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes14.0ms (0.2%)

Memory

25.3MiB live, 25.3MiB allocated; 0ms collecting garbage

Accuracy

Total -4.9b remaining (-19.4%)

Threshold costs -4.9b (-19.4%)

Counts

4 → 1

Calls

Call 1

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
60.4%	1	`y`
60.4%	1	`x`
60.4%	1	`(/.f64 #s(literal 1 binary64) x)`
60.4%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
60.4%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
60.4%	1	`(*.f64 z z)`
60.4%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
60.4%	1	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch14.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.2254712411349251	5045.276601638969

Samples

7.0ms

128×

valid

Compiler

Compiled 334 to 255 computations (23.7% saved)

Precisions

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

ival-div: 2.0ms (49.7% of total)

ival-add: 1.0ms (24.9% of total)

ival-mult: 1.0ms (24.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.2254712411349251	5045.276601638969

Compiler

Compiled 350 to 271 computations (22.6% saved)

simplify122.0ms (1.6%)

Memory

-38.3MiB live, 56.7MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	128
1	77	128
2	156	128
3	365	128
4	850	128
5	1270	128
6	1530	128
7	1796	128
8	1878	128
9	1878	128
10	1878	128
11	1878	128
12	1878	128

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations1.1s (14.4%)

Memory

26.0MiB live, 1 114.5MiB allocated; 203ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	248
0	70	247
1	248	220
2	1869	216
0	8199	216
0	9	29
0	14	29
1	58	29
2	376	29
3	3126	29
0	8640	26
0	37	211
0	61	208
1	230	207
2	1767	189
0	8174	189
0	130	747
1	382	708
2	1172	695
3	5405	685
0	8316	673
0	51	300
0	75	300
1	292	268
2	2120	260
0	8380	257
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×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 128 to 42 computations (67.2% saved)

preprocess493.0ms (6.3%)

Memory: 21.3MiB live, 632.6MiB allocated; 236ms collecting garbage
Remove: (abs z)
Compiler: Compiled 846 to 518 computations (38.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze110.0ms (1.4%)

sample1.1s (13.6%)

explain156.0ms (2%)

preprocess301.0ms (3.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify68.0ms (0.9%)

localize29.0ms (0.4%)

series11.0ms (0.1%)

simplify168.0ms (2.1%)

rewrite251.0ms (3.2%)

eval53.0ms (0.7%)

prune33.0ms (0.4%)

simplify134.0ms (1.7%)

localize111.0ms (1.4%)

series65.0ms (0.8%)

simplify206.0ms (2.6%)

rewrite275.0ms (3.5%)

eval182.0ms (2.3%)

prune52.0ms (0.7%)

simplify204.0ms (2.6%)

localize187.0ms (2.4%)

series86.0ms (1.1%)

simplify229.0ms (2.9%)

rewrite198.0ms (2.5%)

eval239.0ms (3%)

prune25.0ms (0.3%)

simplify167.0ms (2.1%)

localize143.0ms (1.8%)

series97.0ms (1.2%)

simplify565.0ms (7.2%)

rewrite253.0ms (3.2%)

eval125.0ms (1.6%)

prune27.0ms (0.3%)

regimes140.0ms (1.8%)

regimes67.0ms (0.8%)

regimes31.0ms (0.4%)

regimes33.0ms (0.4%)

regimes14.0ms (0.2%)

bsearch14.0ms (0.2%)

bsearch1.0ms (0%)

simplify122.0ms (1.6%)

derivations1.1s (14.4%)

preprocess493.0ms (6.3%)

end0.0ms (0%)

Profiling