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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze87.0ms (0.9%)

Memory

1.6MiB live, 195.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (12.9%)

Memory

41.0MiB live, 1 702.7MiB allocated

Samples

729.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 443.0ms

ival-div: 222.0ms (50.1% of total)

ival-mult: 158.0ms (35.6% of total)

ival-add: 46.0ms (10.4% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.1% of total)

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

adjust: 3.0ms (0.7% of total)

Bogosity

explain182.0ms (2%)

Memory

-21.0MiB live, 164.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
21	-	-	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
9	-	-	`(.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	21	0
↳	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	overflow	66
↳	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`	overflow	51
↳	`(*.f64 z z)`	overflow	51
`*.f64`	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`	*no**	9	0

Confusion

	Predicted +	Predicted -
+	26	0
-	4	226

Precision

0.8666666666666667

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	26	0	0
-	4	0	226

Precision?

0.8666666666666667

Recall?

1.0

Freqs

test

number	freq
0	226
1	30

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

82.0ms

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: 7.0ms (39.3% of total)

ival-mult: 7.0ms (39.3% of total)

ival-add: 2.0ms (11.2% 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)

preprocess237.0ms (2.5%)

Memory

16.6MiB live, 102.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.6%	(/.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)

simplify50.0ms (0.5%)

Memory

4.0MiB live, 47.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (0.5%)

Memory

-30.7MiB live, 37.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) (*.f64 z z))
accuracy	0.0	(*.f64 z z)
accuracy	0.7430101917026358	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
accuracy	6.604804512039189	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))

Samples

36.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-add: 12.0ms (62% of total)

ival-div: 3.0ms (15.5% of total)

ival-mult: 3.0ms (15.5% 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

30.7MiB live, 30.7MiB allocated

Counts

5 → 19

Calls

Call 1

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

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

Calls

9 calls:

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

simplify199.0ms (2.1%)

Memory

-15.2MiB live, 214.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 18

Calls

Call 1

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

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

rewrite188.0ms (2%)

Memory

28.9MiB live, 312.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 350

Calls

Call 1

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

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

eval121.0ms (1.3%)

Memory: -61.6MiB live, 203.4MiB allocated
Compiler: Compiled 9 958 to 1 322 computations (86.7% saved)

prune16.0ms (0.2%)

Memory

32.5MiB live, 32.4MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	347	18	365
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	348	18	366

Accuracy

94.3%

Counts

366 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.4%	(pow.f64 (pow.f64 (.f64 (fma.f64 y (.f64 z z) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	66.9%	(pow.f64 (.f64 (.f64 (fma.f64 y (.f64 z z) y) x) (.f64 (fma.f64 y (*.f64 z z) y) x)) #s(literal -1/2 binary64))
	88.5%	(/.f64 (pow.f64 (fma.f64 y (*.f64 z z) y) #s(literal -1 binary64)) x)
▶	92.9%	(/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)
	92.9%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
	88.6%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 z z) y y))
	89.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
	26.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 y)) (.f64 z z)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 y)) (.f64 z z)) (.f64 (neg.f64 (neg.f64 y)) (.f64 z z))) (.f64 y (.f64 (neg.f64 (neg.f64 y)) (.f64 z z)))))))
	85.9%	(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 z #s(literal 4 binary64))))))
▶	45.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
	88.5%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
	21.4%	(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 (fma.f64 y (.f64 z z) y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
	42.6%	(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 y (.f64 z z) y) #s(literal 2 binary64))) (fma.f64 y (*.f64 z z) y))
	54.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
▶	61.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
▶	37.7%	#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)))
▶	38.0%	#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)))
	45.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x)))

Compiler

Compiled 684 to 456 computations (33.3% saved)

simplify128.0ms (1.4%)

Memory

7.5MiB live, 100.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	348
0	55	343
1	103	343
2	249	343
3	789	343
4	2692	343
5	4948	343
6	5946	343
7	6835	343
8	7880	343
0	8130	343

Stop Event

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

Calls

Call 1

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

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

localize215.0ms (2.3%)

Memory

1.6MiB live, 181.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	7.0565391104211015	(.f64 (.f64 (*.f64 z z) y) x)
accuracy	8.250265422828484	(.f64 (.f64 z z) y)
accuracy	13.746093750000002	(-.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)))
accuracy	28.16619010581157	#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)))
accuracy	6.140242217464059	(/.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	7.0565391104211015	(.f64 (.f64 (*.f64 z z) y) x)
accuracy	8.250265422828484	(.f64 (.f64 z z) y)
accuracy	33.95411231332853	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 z z) y) x))) (.f64 z z)))
accuracy	0.0	(*.f64 z z)
accuracy	6.604804512039189	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
accuracy	8.250265422828484	(.f64 (.f64 z z) y)
accuracy	33.17938559612253	#s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.22265625	(/.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy	24.274579486656418	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
accuracy	0.0	(fma.f64 z z #s(literal 1 binary64))
accuracy	0.7695992798549864	(pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64))
accuracy	1.2715462015147256	(/.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) y)
accuracy	4.2891551269561115	(*.f64 (fma.f64 z z #s(literal 1 binary64)) x)

Samples

177.0ms

256×

valid

Compiler

Compiled 290 to 30 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 41.0ms (57.5% of total)

ival-div: 16.0ms (22.4% of total)

ival-pow: 6.0ms (8.4% of total)

ival-add: 4.0ms (5.6% of total)

ival-sub: 3.0ms (4.2% of total)

exact: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

series88.0ms (0.9%)

Memory

-35.7MiB live, 66.9MiB allocated

Counts

19 → 64

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	x	@	-inf	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y (+ 1 (* z z))) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (+ (/ 1 (pow z 4)) 1) (* y x)) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (+ (/ 1 (pow z 4)) 1) (* y x)) (/ 1 (* (* (* z z) y) x))) (/ (+ (/ 1 (pow z 4)) 1) (* y x)) (* z z) (* (* (* z z) y) x))
14.0ms	z	@	inf	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y (+ 1 (* z z))) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (+ (/ 1 (pow z 4)) 1) (* y x)) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (+ (/ 1 (pow z 4)) 1) (* y x)) (/ 1 (* (* (* z z) y) x))) (/ (+ (/ 1 (pow z 4)) 1) (* y x)) (* z z) (* (* (* z z) y) x))
11.0ms	x	@	0	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y (+ 1 (* z z))) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (+ (/ 1 (pow z 4)) 1) (* y x)) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (+ (/ 1 (pow z 4)) 1) (* y x)) (/ 1 (* (* (* z z) y) x))) (/ (+ (/ 1 (pow z 4)) 1) (* y x)) (* z z) (* (* (* z z) y) x))
9.0ms	y	@	0	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y (+ 1 (* z z))) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (+ (/ 1 (pow z 4)) 1) (* y x)) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (+ (/ 1 (pow z 4)) 1) (* y x)) (/ 1 (* (* (* z z) y) x))) (/ (+ (/ 1 (pow z 4)) 1) (* y x)) (* z z) (* (* (* z z) y) x))
5.0ms	y	@	-inf	((/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (* (+ (* z z) 1) x) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ 1 x) y) (/ 1 x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (* y (+ 1 (* z z))) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ (+ (/ 1 (pow z 4)) 1) (* y x)) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ (+ (/ 1 (pow z 4)) 1) (* y x)) (/ 1 (* (* (* z z) y) x))) (/ (+ (/ 1 (pow z 4)) 1) (* y x)) (* z z) (* (* (* z z) y) x))

simplify337.0ms (3.6%)

Memory

34.2MiB live, 426.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	926
1	381	884
2	1164	842
3	5522	838
0	9234	820

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 62

Calls

Call 1

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

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

rewrite242.0ms (2.6%)

Memory

-37.9MiB live, 343.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	257
0	55	244
1	215	238
2	1663	208
0	8287	208

Stop Event

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

Counts

19 → 622

Calls

Call 1

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

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

eval197.0ms (2.1%)

Memory: 53.2MiB live, 229.9MiB allocated
Compiler: Compiled 32 204 to 3 305 computations (89.7% saved)

prune86.0ms (0.9%)

Memory

-14.4MiB live, 61.7MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	822	11	833
Fresh	6	7	13
Picked	3	2	5
Done	0	0	0
Total	831	20	851

Accuracy

100.0%

Counts

851 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.4%	(pow.f64 (pow.f64 (.f64 (fma.f64 y (.f64 z z) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	66.9%	(pow.f64 (.f64 (.f64 (fma.f64 y (.f64 z z) y) x) (.f64 (fma.f64 y (*.f64 z z) y) x)) #s(literal -1/2 binary64))
	92.9%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 z z #s(literal 1 binary64))) (neg.f64 y))
▶	92.9%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
	26.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 y)) (.f64 z z)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 y)) (.f64 z z)) (.f64 (neg.f64 (neg.f64 y)) (.f64 z z))) (.f64 y (.f64 (neg.f64 (neg.f64 y)) (.f64 z z)))))))
✓	45.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
	46.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 y z) z)))
	42.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (sqrt.f64 (pow.f64 z #s(literal 4 binary64))) y)))
▶	49.5%	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) y)
	88.5%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
	45.1%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx ( y (+ 1 (* z z))) (.f64 (.f64 z z) y)) x))
	21.4%	(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 (fma.f64 y (.f64 z z) y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
	42.6%	(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 y (.f64 z z) y) #s(literal 2 binary64))) (fma.f64 y (*.f64 z z) y))
	54.7%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
▶	46.4%	#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))
✓	61.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
▶	37.7%	#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)))
	13.5%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y)) y) (.f64 (.f64 (.f64 (.f64 (.f64 z z) y) x) y) (*.f64 z z))))
▶	62.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
	44.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(approx (/ (- (/ (/ 1 x) y) (/ 1 (* (* (* z z) y) x))) (* z z)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) z)) z)))

Compiler

Compiled 846 to 550 computations (35% saved)

simplify314.0ms (3.4%)

Memory

33.1MiB live, 134.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	288
0	59	285
1	117	285
2	279	285
3	862	285
4	2686	285
5	4777	285
6	5241	285
7	6131	285
8	6131	285
9	6131	285
10	7011	285
11	7336	285
12	7465	285
13	7705	285
14	7945	285
15	7945	285
16	7945	285
17	7945	285
0	8698	285

Stop Event

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

Calls

Call 1

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

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

localize161.0ms (1.7%)

Memory

-26.1MiB live, 167.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.5458093843458076	(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (*.f64 y x)) z) z)
accuracy	2.4083178163075956	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (*.f64 y x)) z)
accuracy	8.108526084749835	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (*.f64 y x))
accuracy	33.95411231332853	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (*.f64 y x)) z) z))
accuracy	6.140242217464059	(/.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))
accuracy	7.0565391104211015	(.f64 (.f64 (*.f64 z z) y) x)
accuracy	8.250265422828484	(.f64 (.f64 z z) y)
accuracy	33.95411231332853	#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)))
accuracy	0.8281930298549864	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))
accuracy	1.2715462015147256	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) y)
accuracy	5.494529980409552	(.f64 (.f64 z z) x)
accuracy	32.66322431354569	#s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)))
accuracy	0.0	(*.f64 y x)
accuracy	0.3650299555921782	(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy	24.274579486656418	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy	0.0	(fma.f64 z z #s(literal 1 binary64))
accuracy	0.7695992798549864	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
accuracy	1.2715462015147256	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
accuracy	4.2891551269561115	(*.f64 x (fma.f64 z z #s(literal 1 binary64)))

Samples

86.0ms

256×

valid

Compiler

Compiled 240 to 34 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 17.0ms (42.7% of total)

ival-mult: 12.0ms (30.2% of total)

ival-pow: 5.0ms (12.6% of total)

ival-add: 2.0ms (5% of total)

ival-sub: 2.0ms (5% 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)

series76.0ms (0.8%)

Memory

6.7MiB live, 53.0MiB allocated

Counts

20 → 51

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
35.0ms	y	@	0	((/ (/ 1 (* x (+ (* z z) 1))) y) (/ 1 (* x (+ (* z z) 1))) (* x (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (/ 1 (* (* z z) x)) (* (* z z) x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ 1 (* y x)) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ 1 (* y x)) (/ 1 (* (* (* z z) y) x))) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/ (/ (- 1 (pow z -2)) (* y x)) z) (/ (- 1 (pow z -2)) (* y x)) (* (* z z) y) (* (* (* z z) y) x))
10.0ms	z	@	0	((/ (/ 1 (* x (+ (* z z) 1))) y) (/ 1 (* x (+ (* z z) 1))) (* x (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (/ 1 (* (* z z) x)) (* (* z z) x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ 1 (* y x)) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ 1 (* y x)) (/ 1 (* (* (* z z) y) x))) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/ (/ (- 1 (pow z -2)) (* y x)) z) (/ (- 1 (pow z -2)) (* y x)) (* (* z z) y) (* (* (* z z) y) x))
6.0ms	x	@	-inf	((/ (/ 1 (* x (+ (* z z) 1))) y) (/ 1 (* x (+ (* z z) 1))) (* x (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (/ 1 (* (* z z) x)) (* (* z z) x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ 1 (* y x)) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ 1 (* y x)) (/ 1 (* (* (* z z) y) x))) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/ (/ (- 1 (pow z -2)) (* y x)) z) (/ (- 1 (pow z -2)) (* y x)) (* (* z z) y) (* (* (* z z) y) x))
5.0ms	x	@	0	((/ (/ 1 (* x (+ (* z z) 1))) y) (/ 1 (* x (+ (* z z) 1))) (* x (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (/ 1 (* (* z z) x)) (* (* z z) x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ 1 (* y x)) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ 1 (* y x)) (/ 1 (* (* (* z z) y) x))) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/ (/ (- 1 (pow z -2)) (* y x)) z) (/ (- 1 (pow z -2)) (* y x)) (* (* z z) y) (* (* (* z z) y) x))
5.0ms	y	@	-inf	((/ (/ 1 (* x (+ (* z z) 1))) y) (/ 1 (* x (+ (* z z) 1))) (* x (+ (* z z) 1)) (+ (* z z) 1) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 (* y x)) (* y x) (/ (pow (* (+ (* z z) 1) x) -1) y) (pow (* (+ (* z z) 1) x) -1) (/ 1 (* (* z z) x)) (* (* z z) x) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (- (/ 1 (* y x)) (/ 1 (* (* (* z z) y) x))) (* z z)) (- (/ 1 (* y x)) (/ 1 (* (* (* z z) y) x))) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/ (/ (- 1 (pow z -2)) (* y x)) z) (/ (- 1 (pow z -2)) (* y x)) (* (* z z) y) (* (* (* z z) y) x))

simplify164.0ms (1.8%)

Memory

27.3MiB live, 162.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	666
1	312	620
2	852	594
3	3810	588
0	8535	578

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

Calls

Call 1

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

rewrite280.0ms (3%)

Memory

-13.8MiB live, 313.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	234
0	59	249
1	217	207
2	1486	207
0	8698	207

Stop Event

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

Counts

20 → 1 326

Calls

Call 1

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

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

eval176.0ms (1.9%)

Memory: -6.1MiB live, 243.2MiB allocated
Compiler: Compiled 32 736 to 3 958 computations (87.9% saved)

prune33.0ms (0.4%)

Memory

-15.7MiB live, 77.2MiB allocated

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	922	11	933
Fresh	5	8	13
Picked	3	2	5
Done	0	2	2
Total	930	23	953

Accuracy

100.0%

Counts

953 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.9%	(pow.f64 (.f64 (.f64 (fma.f64 y (.f64 z z) y) x) (.f64 (fma.f64 y (*.f64 z z) y) x)) #s(literal -1/2 binary64))
	26.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 y)) (.f64 z z)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 y)) (.f64 z z)) (.f64 (neg.f64 (neg.f64 y)) (.f64 z z))) (.f64 y (.f64 (neg.f64 (neg.f64 y)) (.f64 z z)))))))
✓	45.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
▶	46.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 y z) z)))
	42.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (sqrt.f64 (pow.f64 z #s(literal 4 binary64))) y)))
	49.5%	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 z) z))) y)
✓	49.5%	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))) y)
	53.8%	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) z))) y)
	54.4%	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z))) y)
	88.5%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
▶	45.1%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx ( y (+ 1 (* z z))) (.f64 (.f64 z z) y)) x))
▶	92.9%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))) y))
	21.4%	(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 (fma.f64 y (.f64 z z) y) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
	54.7%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
	44.3%	#s(approx (/ (/ 1 (* x (+ (* z z) 1))) y) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) x) z) (.f64 y z)))
	62.0%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	46.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) y) (*.f64 z x)) z))
	46.7%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (.f64 (.f64 y x) z)) z))
✓	61.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
	57.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (/ (- 1 (pow z -2)) (* y x)) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z)) z))
▶	44.3%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (/ (- 1 (pow z -2)) (* y x)) z) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) z))) z))
✓	62.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
	51.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (sqrt.f64 (pow.f64 (*.f64 y x) #s(literal -2 binary64))))

Compiler

Compiled 948 to 654 computations (31% saved)

simplify658.0ms (7.1%)

Memory

-53.9MiB live, 276.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	352
0	70	346
1	148	346
2	417	345
3	1716	345
4	5029	341
0	8707	341

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (1.2%)

Memory

-6.7MiB live, 179.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1953125	(.f64 (.f64 (fma.f64 y (.f64 z z) y) x) (.f64 (fma.f64 y (*.f64 z z) y) x))
accuracy	0.7391039417026358	(fma.f64 y (*.f64 z z) y)
accuracy	6.288987152151794	(.f64 (fma.f64 y (.f64 z z) y) x)
accuracy	18.707433395668396	(pow.f64 (.f64 (.f64 (fma.f64 y (.f64 z z) y) x) (.f64 (fma.f64 y (*.f64 z z) y) x)) #s(literal -1/2 binary64))
accuracy	0.8281930298549864	(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x))
accuracy	5.494529980409552	(.f64 (.f64 z z) x)
accuracy	6.182387387135348	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) z))
accuracy	33.95411231332853	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (/ (- 1 (pow z -2)) (* y x)) z) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 y) z))) z))
accuracy	0.0	(*.f64 y z)
accuracy	0.12890625	(.f64 (.f64 y z) z)
accuracy	6.604804512039189	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 y z) z)))
accuracy	33.17938559612253	#s(approx (* y (+ 1 (* z z))) (.f64 (.f64 y z) z))
accuracy	0.36510656377560835	(/.f64 #s(literal 1 binary64) (.f64 #s(approx ( y (+ 1 (* z z))) (.f64 (.f64 z z) y)) x))
accuracy	6.288987152151794	(.f64 #s(approx ( y (+ 1 (* z z))) (.f64 (.f64 z z) y)) x)
accuracy	8.250265422828484	(.f64 (.f64 z z) y)
accuracy	33.17938559612253	#s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y))
accuracy	0.0	(neg.f64 x)
accuracy	0.36510656377560835	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))) y))
accuracy	1.603060924474141	(.f64 (.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))) y)
accuracy	4.2891551269561115	(*.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64)))

Samples

88.0ms

256×

valid

Compiler

Compiled 269 to 41 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 34.0ms (51.3% of total)

ival-div: 15.0ms (22.6% of total)

ival-pow: 9.0ms (13.6% of total)

ival-add: 3.0ms (4.5% of total)

ival-sub: 2.0ms (3% of total)

ival-neg: 2.0ms (3% of total)

exact: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

series92.0ms (1%)

Memory

12.8MiB live, 111.4MiB allocated

Counts

23 → 59

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
49.0ms	x	@	inf	((/ -1 (* (* (neg x) (+ (* z z) 1)) y)) (* (* (neg x) (+ (* z z) 1)) y) (* (neg x) (+ (* z z) 1)) (neg x) (/ 1 (* (* y (+ 1 (* z z))) x)) (* (* y (+ 1 (* z z))) x) (* y (+ 1 (* z z))) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* y z) z) (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* (neg y) z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/ (/ (- 1 (pow z -2)) (* y x)) z) (pow (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) -1/2) (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* y z) (* (* z z) x) (/ 1 (* (* z z) x)))
9.0ms	y	@	inf	((/ -1 (* (* (neg x) (+ (* z z) 1)) y)) (* (* (neg x) (+ (* z z) 1)) y) (* (neg x) (+ (* z z) 1)) (neg x) (/ 1 (* (* y (+ 1 (* z z))) x)) (* (* y (+ 1 (* z z))) x) (* y (+ 1 (* z z))) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* y z) z) (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* (neg y) z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/ (/ (- 1 (pow z -2)) (* y x)) z) (pow (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) -1/2) (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* y z) (* (* z z) x) (/ 1 (* (* z z) x)))
6.0ms	y	@	-inf	((/ -1 (* (* (neg x) (+ (* z z) 1)) y)) (* (* (neg x) (+ (* z z) 1)) y) (* (neg x) (+ (* z z) 1)) (neg x) (/ 1 (* (* y (+ 1 (* z z))) x)) (* (* y (+ 1 (* z z))) x) (* y (+ 1 (* z z))) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* y z) z) (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* (neg y) z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/ (/ (- 1 (pow z -2)) (* y x)) z) (pow (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) -1/2) (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* y z) (* (* z z) x) (/ 1 (* (* z z) x)))
6.0ms	x	@	0	((/ -1 (* (* (neg x) (+ (* z z) 1)) y)) (* (* (neg x) (+ (* z z) 1)) y) (* (neg x) (+ (* z z) 1)) (neg x) (/ 1 (* (* y (+ 1 (* z z))) x)) (* (* y (+ 1 (* z z))) x) (* y (+ 1 (* z z))) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* y z) z) (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* (neg y) z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/ (/ (- 1 (pow z -2)) (* y x)) z) (pow (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) -1/2) (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* y z) (* (* z z) x) (/ 1 (* (* z z) x)))
5.0ms	x	@	-inf	((/ -1 (* (* (neg x) (+ (* z z) 1)) y)) (* (* (neg x) (+ (* z z) 1)) y) (* (neg x) (+ (* z z) 1)) (neg x) (/ 1 (* (* y (+ 1 (* z z))) x)) (* (* y (+ 1 (* z z))) x) (* y (+ 1 (* z z))) (* (* z z) y) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (* (* y z) z) (/ (- (/ 1 (* (* z z) x)) (/ 1 x)) (* (neg y) z)) (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ (/ (/ (- 1 (pow z -2)) (* y x)) z) z) (/ (/ (- 1 (pow z -2)) (* y x)) z) (pow (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) -1/2) (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) (* (+ (* y (* z z)) y) x) (+ (* y (* z z)) y) (* y z) (* (* z z) x) (/ 1 (* (* z z) x)))

simplify146.0ms (1.6%)

Memory

-1.6MiB live, 181.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	733
1	415	707
2	1511	670
3	6159	662
0	8418	642

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

Calls

Call 1

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

rewrite212.0ms (2.3%)

Memory

4.6MiB live, 328.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	298
0	70	277
1	255	257
2	1744	257
0	8500	257

Stop Event

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

Counts

23 → 649

Calls

Call 1

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

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

eval181.0ms (1.9%)

Memory: 5.3MiB live, 244.4MiB allocated
Compiler: Compiled 23 285 to 3 000 computations (87.1% saved)

prune32.0ms (0.3%)

Memory

1.1MiB live, 92.4MiB allocated

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	735	8	743
Fresh	6	8	14
Picked	2	3	5
Done	1	3	4
Total	744	22	766

Accuracy

100.0%

Counts

766 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.2%	(pow.f64 (.f64 (.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1/2 binary64))
	48.3%	(pow.f64 #s(approx (* (* (+ (* y (* z z)) y) x) (* (+ (* y (* z z)) y) x)) (.f64 (.f64 (*.f64 y y) x) x)) #s(literal -1/2 binary64))
	26.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 y)) (.f64 z z)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 y)) (.f64 z z)) (.f64 (neg.f64 (neg.f64 y)) (.f64 z z))) (.f64 y (.f64 (neg.f64 (neg.f64 y)) (.f64 z z)))))))
✓	45.1%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 z z) y)))
✓	46.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (.f64 (.f64 y z) z)))
	42.3%	(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) (*.f64 (sqrt.f64 (pow.f64 z #s(literal 4 binary64))) y)))
	92.9%	(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 x)))
	49.5%	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 z) z))) y)
	53.8%	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) z))) y)
	54.4%	(/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z))) y)
	88.5%	(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
✓	45.1%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx ( y (+ 1 (* z z))) (.f64 (.f64 z z) y)) x))
	46.3%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx ( y (+ 1 (* z z))) (.f64 (.f64 y z) z)) x))
✓	92.9%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))) y))
	53.5%	(/.f64 #s(literal -1 binary64) (.f64 #s(approx ( (neg x) (+ (* z z) 1)) (.f64 (.f64 (neg.f64 z) x) z)) y))
	57.8%	(/.f64 #s(literal -1 binary64) #s(approx (* (* (neg x) (+ (* z z) 1)) y) (.f64 (.f64 (*.f64 (neg.f64 x) y) z) z)))
	69.5%	(.f64 (pow.f64 (.f64 (.f64 (.f64 y (fma.f64 z z #s(literal 1 binary64))) x) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64)))
	54.7%	#s(approx (/ (pow (* (+ (* z z) 1) x) -1) y) (/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) y) x))
✓	61.9%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
	57.4%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (/ (- 1 (pow z -2)) (* y x)) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z)) z))
	46.8%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (/ (- 1 (pow z -2)) (* y x)) z) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) y) (.f64 z x))) z))
✓	62.1%	#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Compiler

Compiled 1 513 to 554 computations (63.4% saved)

regimes109.0ms (1.2%)

Memory

16.9MiB live, 204.4MiB allocated

Counts

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

Outputs

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

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

Calls

8 calls:

22.0ms	z
14.0ms	(/.f64 #s(literal 1 binary64) x)
13.0ms	x
12.0ms	y
12.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
99.7%	2	`(*.f64 z z)`
99.7%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
99.7%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
92.9%	1	`(/.f64 #s(literal 1 binary64) x)`
97.4%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
92.9%	1	`x`
94.9%	2	`y`
99.7%	2	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes26.0ms (0.3%)

Memory

0.0MiB live, 51.8MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

8.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
6.0ms	z
5.0ms	(*.f64 z z)
5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
97.4%	2	`(*.f64 z z)`
97.4%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.4%	2	`z`
97.4%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes30.0ms (0.3%)

Memory

-34.5MiB live, 57.6MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
97.2%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
97.2%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
97.2%	2	`(*.f64 z z)`
97.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.2%	2	`z`

Compiler

Compiled 27 to 29 computations (-7.4% saved)

regimes20.0ms (0.2%)

Memory

40.4MiB live, 40.4MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.2%	2	`(*.f64 z z)`
97.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.2%	2	`z`
97.2%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes22.0ms (0.2%)

Memory

-0.5MiB live, 42.7MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.2%	2	`(*.f64 z z)`
97.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.2%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
97.2%	2	`z`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes22.0ms (0.2%)

Memory

-10.0MiB live, 40.8MiB allocated

Counts

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

Outputs

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

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

Calls

5 calls:

9.0ms	z
3.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
3.0ms	(*.f64 z z)
3.0ms	(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))
3.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
97.1%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
97.1%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
97.1%	2	`(*.f64 z z)`
97.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
97.1%	2	`z`

Compiler

Compiled 27 to 29 computations (-7.4% saved)

regimes16.0ms (0.2%)

Memory

-23.6MiB live, 21.2MiB allocated

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

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

Calls

4 calls:

8.0ms	(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))
3.0ms	z
2.0ms	(*.f64 z z)
2.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
97.1%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
96.9%	2	`(*.f64 z z)`
96.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
96.9%	2	`z`

Compiler

Compiled 16 to 20 computations (-25% saved)

regimes22.0ms (0.2%)

Memory

-3.2MiB live, 41.7MiB allocated

Counts

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes16.0ms (0.2%)

Memory

38.0MiB live, 38.0MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
62.1%	1	`x`
65.2%	2	`y`
89.0%	2	`(*.f64 z z)`
89.0%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
78.9%	2	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
62.1%	1	`(/.f64 #s(literal 1 binary64) x)`
73.7%	2	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
89.0%	2	`z`

Compiler

Compiled 32 to 40 computations (-25% saved)

regimes9.0ms (0.1%)

Memory

-33.3MiB live, 11.9MiB allocated

Counts

3 → 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 (/.f64 #s(literal 1 binary64) x) y))

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

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

Calls

3 calls:

6.0ms	(*.f64 z z)
1.0ms	z
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 z z))

Results

Accuracy	Segments	Branch
87.9%	2	`(*.f64 z z)`
87.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
87.9%	2	`z`

Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes9.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated

Accuracy

Total -0.2b remaining (-0.8%)

Threshold costs -0.2b (-0.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
62.1%	1	`x`
62.1%	1	`y`
62.1%	1	`(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))))`
62.1%	1	`(.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))`
62.1%	1	`(*.f64 z z)`
62.1%	1	`(+.f64 #s(literal 1 binary64) (*.f64 z z))`
62.1%	1	`z`

Compiler

Compiled 29 to 35 computations (-20.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.597500609418511e+305	+inf

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch21.0ms (0.2%)

Memory

-30.8MiB live, 31.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	6.627648243478072e+132	4.021073413718392e+135

Samples

14.0ms

128×

valid

Compiler

Compiled 358 to 271 computations (24.3% saved)

Precisions

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

ival-div: 2.0ms (48% of total)

ival-mult: 2.0ms (48% of total)

ival-add: 1.0ms (24% 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)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.597500609418511e+305	+inf

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.597500609418511e+305	+inf

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch14.0ms (0.1%)

Memory

25.4MiB live, 25.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.3547533900747554e+128	6.627648243478072e+132

Samples

7.0ms

128×

valid

Compiler

Compiled 254 to 231 computations (9.1% saved)

Precisions

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

ival-div: 2.0ms (48.5% of total)

ival-mult: 2.0ms (48.5% of total)

ival-add: 1.0ms (24.3% 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)

bsearch38.0ms (0.4%)

Memory

-28.3MiB live, 16.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
36.0ms	1.4397264493033316e+125	3.3547533900747554e+128

Samples

7.0ms

128×

valid

Compiler

Compiled 270 to 239 computations (11.5% saved)

Precisions

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

ival-div: 2.0ms (48.7% of total)

ival-mult: 2.0ms (48.7% of total)

ival-add: 1.0ms (24.3% 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)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.597500609418511e+305	+inf

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch15.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.000618432074864086	1635.3834728923655

Samples

8.0ms

144×

valid

Compiler

Compiled 320 to 267 computations (16.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (42.2% of total)

ival-mult: 2.0ms (42.2% of total)

ival-add: 1.0ms (21.1% 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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.000618432074864086	1635.3834728923655

Compiler

Compiled 356 to 285 computations (19.9% saved)

simplify120.0ms (1.3%)

Memory

-16.4MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	93	404
1	153	404
2	348	404
3	909	402
4	2094	400
5	2838	400
6	3291	400
7	3494	400
8	3516	400
9	3564	400
10	3596	400
11	3672	400
12	3680	400
13	3680	400
14	3680	400
15	4136	400
16	4744	400
17	4814	400
18	4814	400

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (/ (- 1 (pow z -2)) (* y x)) z) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) y) (.f64 z x))) z)))
(if (<=.f64 z #s(literal 3999999999999999847318763367259759453796941345107140605781616493820401616222622762704766840658378241474809158322128284365245045534621696 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) y) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(approx (/ (/ (- 1 (pow z -2)) (* y x)) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z)) z)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) z))) y))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 z z) y y)) (/.f64 #s(approx (pow ( (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) z))) y))
(if (<=.f64 z #s(literal 1949999999999999858001336915961879780509910942013462092367801139743297841710795067218010141057542636265785690805384197772851281920 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))) y)) (/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) z))) y))
(if (<=.f64 z #s(literal 330000000000000005568319844367767044194946542338045782187768563121106374495869378747442229623387782836705570394796118450192252928 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))) y)) (/.f64 #s(literal -1 binary64) #s(approx (* (* (neg x) (+ (* z z) 1)) y) (.f64 (.f64 (*.f64 (neg.f64 x) y) z) z))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x)) (/.f64 #s(literal -1 binary64) #s(approx (* (* (neg x) (+ (* z z) 1)) y) (.f64 (.f64 (*.f64 (neg.f64 x) y) z) z))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx ( y (+ 1 (* z z))) (.f64 (.f64 y z) z)) x)))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))

Outputs
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (/ (- 1 (pow z -2)) (* y x)) z) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))) y) (.f64 z x))) z)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(approx (/ (/ (- 1 (pow z -2)) (* y x)) z) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z z) #s(literal -1 binary64))) y) (.f64 z x))) z)))
(if (<=.f64 z #s(literal 3999999999999999847318763367259759453796941345107140605781616493820401616222622762704766840658378241474809158322128284365245045534621696 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 z z #s(literal 1 binary64)))) y) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(approx (/ (/ (- 1 (pow z -2)) (* y x)) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) z)) z)))
(if (<=.f64 z #s(literal 3999999999999999847318763367259759453796941345107140605781616493820401616222622762704766840658378241474809158322128284365245045534621696 binary64)) (/.f64 (pow.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) y) #s(approx (/ (/ 1 x) ( y (+ 1 (* z z)))) (/.f64 #s(approx (/ (/ (- 1 (pow z -2)) (* y x)) z) (/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y) z)) z)))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) z))) y))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z)))) (/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (pow.f64 (.f64 (.f64 z x) z) #s(literal -1 binary64))) y))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 z z) y y)) (/.f64 #s(approx (pow ( (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) z))) y))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 z z) y y)) (/.f64 #s(approx (pow ( (+ (* z z) 1) x) -1) (pow.f64 (.f64 (.f64 z x) z) #s(literal -1 binary64))) y))
(if (<=.f64 z #s(literal 1949999999999999858001336915961879780509910942013462092367801139743297841710795067218010141057542636265785690805384197772851281920 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))) y)) (/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (/.f64 #s(literal 1 binary64) (.f64 (.f64 z x) z))) y))
(if (<=.f64 z #s(literal 1949999999999999858001336915961879780509910942013462092367801139743297841710795067218010141057542636265785690805384197772851281920 binary64)) (pow.f64 (.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) y) #s(literal -1 binary64)) (/.f64 #s(approx (pow (* (+ (* z z) 1) x) -1) (pow.f64 (.f64 (.f64 z x) z) #s(literal -1 binary64))) y))
(if (<=.f64 z #s(literal 330000000000000005568319844367767044194946542338045782187768563121106374495869378747442229623387782836705570394796118450192252928 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) (fma.f64 z z #s(literal 1 binary64))) y)) (/.f64 #s(literal -1 binary64) #s(approx (* (* (neg x) (+ (* z z) 1)) y) (.f64 (.f64 (*.f64 (neg.f64 x) y) z) z))))
(if (<=.f64 z #s(literal 330000000000000005568319844367767044194946542338045782187768563121106374495869378747442229623387782836705570394796118450192252928 binary64)) (pow.f64 (.f64 (.f64 x (fma.f64 z z #s(literal 1 binary64))) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (* (neg x) (+ (* z z) 1)) y) (.f64 (.f64 (*.f64 (neg.f64 x) y) z) z))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x)) (/.f64 #s(literal -1 binary64) #s(approx (* (* (neg x) (+ (* z z) 1)) y) (.f64 (.f64 (*.f64 (neg.f64 x) y) z) z))))
(if (<=.f64 (.f64 y (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 1000000000000000017216064596736454828831087825013238982328892017892380671244575047987920451875459594568606138861698291060311049225532948520696938805711440650122628514669428460356992624968028329550689224175284346730060716088829214255439694630119794546505512415617982143262670862918816362862119154749127262208 binary64)) (pow.f64 (.f64 (fma.f64 y (.f64 z z) y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (* (* (neg x) (+ (* z z) 1)) y) (.f64 (.f64 (*.f64 (neg.f64 x) y) z) z))))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y (.f64 z z) y) x))
(pow.f64 (.f64 (fma.f64 y (.f64 z z) y) x) #s(literal -1 binary64))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (/.f64 #s(literal 1 binary64) (.f64 #s(approx ( y (+ 1 (* z z))) (.f64 (.f64 y z) z)) x)))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) y)) (pow.f64 (.f64 #s(approx ( y (+ 1 (* z z))) (.f64 (.f64 y z) z)) x) #s(literal -1 binary64)))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 z z) y) x))))
(if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) y)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (.f64 (.f64 (*.f64 z z) y) x) #s(literal -1 binary64))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))

derivations1.6s (16.9%)

Memory

51.8MiB live, 1 292.0MiB allocated

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
0	9	29
0	14	29
1	58	29
2	376	29
3	3126	29
0	8640	26
0	135	733
1	415	707
2	1511	670
3	6159	662
0	8418	642
0	35	257
0	55	244
1	215	238
2	1663	208
0	8287	208
0	38	234
0	59	249
1	217	207
2	1486	207
0	8698	207
0	134	926
1	381	884
2	1164	842
3	5522	838
0	9234	820
0	45	298
0	70	277
1	255	257
2	1744	257
0	8500	257
0	116	666
1	312	620
2	852	594
3	3810	588
0	8535	578

Stop Event

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

Compiler

Compiled 402 to 94 computations (76.6% saved)

preprocess966.0ms (10.4%)

Memory: -43.9MiB live, 871.8MiB allocated
Remove: (abs z)
Compiler: Compiled 3 452 to 1 630 computations (52.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze87.0ms (0.9%)

sample1.2s (12.9%)

explain182.0ms (2%)

preprocess237.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify50.0ms (0.5%)

localize42.0ms (0.5%)

series11.0ms (0.1%)

simplify199.0ms (2.1%)

rewrite188.0ms (2%)

eval121.0ms (1.3%)

prune16.0ms (0.2%)

simplify128.0ms (1.4%)

localize215.0ms (2.3%)

series88.0ms (0.9%)

simplify337.0ms (3.6%)

rewrite242.0ms (2.6%)

eval197.0ms (2.1%)

prune86.0ms (0.9%)

simplify314.0ms (3.4%)

localize161.0ms (1.7%)

series76.0ms (0.8%)

simplify164.0ms (1.8%)

rewrite280.0ms (3%)

eval176.0ms (1.9%)

prune33.0ms (0.4%)

simplify658.0ms (7.1%)

localize112.0ms (1.2%)

series92.0ms (1%)

simplify146.0ms (1.6%)

rewrite212.0ms (2.3%)

eval181.0ms (1.9%)

prune32.0ms (0.3%)

regimes109.0ms (1.2%)

regimes26.0ms (0.3%)

regimes30.0ms (0.3%)

regimes20.0ms (0.2%)

regimes22.0ms (0.2%)

regimes22.0ms (0.2%)

regimes16.0ms (0.2%)

regimes22.0ms (0.2%)

regimes16.0ms (0.2%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch21.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.1%)

bsearch38.0ms (0.4%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

simplify120.0ms (1.3%)

derivations1.6s (16.9%)

preprocess966.0ms (10.4%)

end0.0ms (0%)

Profiling