Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample674.0ms (9.6%)

Memory

-0.4MiB live, 791.4MiB allocated

Samples

458.0ms	8 254×	0	valid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 255.0ms

ival-mult: 143.0ms (56.1% of total)

ival-add: 103.0ms (40.4% of total)

ival-true: 6.0ms (2.4% of total)

ival-assert: 4.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain84.0ms (1.2%)

Memory

-3.7MiB live, 121.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (*.f64 x y) x)`
-	-	`y`
-	-	`(+.f64 (+.f64 (*.f64 x y) x) y)`
-	-	`(*.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

40.0ms

512×

valid

Compiler

Compiled 62 to 24 computations (61.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 4.0ms (44.6% of total)

ival-mult: 4.0ms (44.6% of total)

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

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

preprocess74.0ms (1%)

Memory

-4.6MiB live, 30.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	51	38
2	164	35
3	570	35
4	1128	35
5	1313	35
6	1323	35
0	5	7
0	8	7
1	13	7
2	23	7
3	30	7
4	38	7
5	44	7
6	54	7
7	60	7
8	64	7
0	64	6

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)

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

Symmetry

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(+.f64 (+.f64 (*.f64 x y) x) y)
cost-diff	128	(+.f64 (*.f64 x y) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	8	17
1	13	17
2	23	17
3	30	17
4	38	17
5	44	17
6	54	17
7	60	17
8	64	17
0	64	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (*.f64 x y) x)
(*.f64 x y)
x
y

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

localize48.0ms (0.7%)

Memory

-23.9MiB live, 23.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (+.f64 (*.f64 x y) x) y)
accuracy	0.0	(*.f64 x y)
accuracy	0.0078125	(+.f64 (*.f64 x y) x)

Samples

43.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 4.0ms (60.7% of total)

ival-mult: 2.0ms (30.4% of total)

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

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

series4.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

3 → 16

Calls

Call 1

Inputs
(+.f64 (*.f64 x y) x)
(+.f64 (+.f64 (*.f64 x y) x) y)
(*.f64 x y)

Outputs
(* x (+ 1 y))
y
(+ y (* x (+ 1 y)))
(* x y)
(* x (+ 1 (+ y (/ y x))))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
x
(+ x (* x y))
(+ x (* y (+ 1 x)))
(* y (+ x (/ x y)))
(* y (+ 1 x))
(* y (+ 1 (+ x (/ x y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))

Calls

6 calls:

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

simplify225.0ms (3.2%)

Memory

3.2MiB live, 115.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	82
1	131	82
2	340	82
3	987	82
4	2291	82
5	3351	82
6	3968	82
7	4675	82
8	4890	82
9	5033	82
10	5745	82
0	8235	69

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 14

Calls

Call 1

Inputs
(* x (+ 1 y))
y
(+ y (* x (+ 1 y)))
(* x y)
(* x (+ 1 (+ y (/ y x))))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
x
(+ x (* x y))
(+ x (* y (+ 1 x)))
(* y (+ x (/ x y)))
(* y (+ 1 x))
(* y (+ 1 (+ x (/ x y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))

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

rewrite344.0ms (4.9%)

Memory

2.5MiB live, 121.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	38	15
2	332	15
3	5317	15
0	8170	13

Stop Event

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

Counts

3 → 181

Calls

Call 1

Inputs
(+.f64 (*.f64 x y) x)
(+.f64 (+.f64 (*.f64 x y) x) y)
(*.f64 x y)

Outputs
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 y x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 x (.f64 y x)) x)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x (.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 y x)) x) (-.f64 (.f64 (-.f64 x (.f64 y x)) x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (fma.f64 y x x))
(*.f64 (+.f64 #s(literal 1 binary64) y) x)
(.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x))) (pow.f64 (-.f64 x (*.f64 y x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64)) (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))))
(.f64 (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (pow.f64 (neg.f64 (-.f64 (.f64 y x) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))))
(.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (.f64 (fma.f64 y x x) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 y x x) (/.f64 (-.f64 (.f64 y x) x) (-.f64 (*.f64 y x) x)))
(.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 (-.f64 x (.f64 y x)) (.f64 x (-.f64 x (.f64 (.f64 y y) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))) (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 x (/.f64 x (-.f64 (.f64 y x) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x)))) (neg.f64 (-.f64 x (.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 y x) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))))))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (-.f64 (.f64 y x) x)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 y x) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 (-.f64 (.f64 y x) x) (.f64 x x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 (.f64 y x) x) (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (.f64 y x) x) (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x))) (-.f64 x (.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 y x)) (.f64 x (-.f64 x (.f64 (.f64 y y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (neg.f64 (-.f64 (*.f64 y x) x)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))))
(/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (-.f64 (*.f64 y x) x))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))))
(neg.f64 (neg.f64 (fma.f64 y x x)))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x x) x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (fma.f64 y x x) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 y x) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
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(fma.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x (.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 y x)) x) (-.f64 (.f64 (-.f64 x (.f64 y x)) x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))) y)
(fma.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 (fma.f64 y x x) y) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (+.f64 (fma.f64 y x x) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y)))))
(fma.f64 (/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (fma.f64 y x x) y)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(fma.f64 (+.f64 #s(literal 1 binary64) y) x y)
(fma.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (.f64 y x))
(fma.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x))) (pow.f64 (-.f64 x (.f64 y x)) #s(literal -1 binary64)) y)
(fma.f64 (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64)) (.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) y)
(fma.f64 (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) #s(literal -1 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) y)
(fma.f64 #s(literal 1 binary64) (fma.f64 y x x) y)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) #s(literal -1 binary64)) (.f64 y x))
(fma.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (pow.f64 (neg.f64 (-.f64 (*.f64 y x) x)) #s(literal -1 binary64)) y)
(fma.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) #s(literal -1 binary64)) y)
(fma.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)) y)
(fma.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) y)
(fma.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (.f64 (fma.f64 y x x) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64))) y)
(fma.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) #s(literal -1 binary64)) y)
(fma.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 (-.f64 (fma.f64 y x x) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y)))))
(fma.f64 (fma.f64 y x x) (/.f64 (-.f64 (.f64 y x) x) (-.f64 (.f64 y x) x)) y)
(fma.f64 (fma.f64 y x x) (/.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y)))))
(fma.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) y)
(fma.f64 y x (+.f64 y x))
(fma.f64 x (+.f64 #s(literal 1 binary64) y) y)
(fma.f64 x y (+.f64 y x))
(-.f64 (+.f64 y (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x))) (.f64 x (/.f64 x (-.f64 (.f64 y x) x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 y x) x) y)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 y x) x) y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 y x x))) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 y (fma.f64 y x x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (-.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) y))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) y)) (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (fma.f64 y x x) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 y x y) x)
(+.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y)))))
(+.f64 (+.f64 y x) (*.f64 y x))
(+.f64 (fma.f64 y x x) y)
(+.f64 (*.f64 y x) (+.f64 y x))
(+.f64 y (fma.f64 y x x))
(+.f64 x (fma.f64 y x y))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))

eval20.0ms (0.3%)

Memory: 15.3MiB live, 15.3MiB allocated
Compiler: Compiled 4 443 to 555 computations (87.5% saved)

prune22.0ms (0.3%)

Memory

-29.6MiB live, 9.6MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	184	2	186

Accuracy

100.0%

Counts

186 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
▶	62.7%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
0	15	30
1	27	29
2	39	29
3	41	29
4	59	29
5	62	29
6	64	29
7	68	29
0	68	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize139.0ms (2%)

Memory

-28.9MiB live, 40.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0	(fma.f64 y x y)
accuracy	23.88385943132738	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))

Samples

132.0ms

256×

valid

Compiler

Compiled 59 to 23 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 21.0ms (77.1% of total)

ival-add: 5.0ms (18.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

4 → 20

Calls

Call 1

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

Outputs
y
(+ y (* x (+ 1 y)))
(+ y (* x y))
1
(+ 1 x)
(* x (+ 1 y))
(* x (+ 1 (+ y (/ y x))))
(* x y)
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(+ x (* y (+ 1 x)))
(* y (+ 1 x))
(* y (+ 1 (+ x (/ x y))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1))
1.0ms	x	@	-inf	((+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1))
0.0ms	x	@	inf	((+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1))
0.0ms	y	@	inf	((+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1))
0.0ms	x	@	0	((+ (+ (* x y) x) y) (+ (* y x) y) (+ (* (+ x 1) y) x) (+ x 1))

simplify422.0ms (6%)

Memory

0.5MiB live, 230.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	96
1	164	96
2	437	96
3	1249	96
4	2923	96
5	3807	96
6	4195	96
7	4481	96
8	4631	96
9	4719	96
0	8611	82

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 18

Calls

Call 1

Inputs
y
(+ y (* x (+ 1 y)))
(+ y (* x y))
1
(+ 1 x)
(* x (+ 1 y))
(* x (+ 1 (+ y (/ y x))))
(* x y)
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(+ x (* y (+ 1 x)))
(* y (+ 1 x))
(* y (+ 1 (+ x (/ x y))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y)))))

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

rewrite289.0ms (4.1%)

Memory

10.5MiB live, 202.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
0	15	25
1	87	24
2	664	24
0	8039	24

Stop Event

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

Counts

4 → 334

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 y (.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x y) y (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y (.f64 y x)) y) #s(literal 2 binary64)))) (fma.f64 y (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (.f64 (.f64 y y) x)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y (.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y (.f64 y x)) y) (-.f64 (.f64 (-.f64 y (.f64 y x)) y) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 y (.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (fma.f64 y x y))
(.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(.f64 (.f64 y (-.f64 y (.f64 (.f64 x x) y))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y x))))
(.f64 (pow.f64 (-.f64 (.f64 y x) y) #s(literal -1 binary64)) (.f64 y (.f64 (fma.f64 x x #s(literal -1 binary64)) y)))
(.f64 (pow.f64 (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 y x)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))
(.f64 (neg.f64 (.f64 y (.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 y x) y))))
(.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (*.f64 y x)))))))
(.f64 (.f64 y (.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (pow.f64 (-.f64 (.f64 y x) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (-.f64 x #s(literal 1 binary64))))
(.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(.f64 (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 y x)))) (/.f64 (fma.f64 y x y) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (*.f64 y x))))))
(.f64 (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 y x)))) (.f64 (fma.f64 y x y) (pow.f64 (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 y x)))) #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (*.f64 y x)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) y))
(.f64 (fma.f64 y x y) (/.f64 (-.f64 (.f64 y x) y) (-.f64 (*.f64 y x) y)))
(.f64 (fma.f64 y x y) (.f64 (-.f64 (.f64 y x) y) (pow.f64 (-.f64 (.f64 y x) y) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) y)
(*.f64 #s(literal 1 binary64) (fma.f64 y x y))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x y)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 y x) y) #s(literal -1 binary64))) (fma.f64 y y (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 y x) y) #s(literal -1 binary64))) (+.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 y x)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (pow.f64 (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 y x)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y) (-.f64 #s(literal 1 binary64) x))
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(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval63.0ms (0.9%)

Memory: -18.5MiB live, 69.8MiB allocated
Compiler: Compiled 8 321 to 994 computations (88.1% saved)

prune6.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	338	3	341
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	338	5	343

Accuracy

100.0%

Counts

343 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
▶	78.3%	(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
✓	62.7%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
▶	59.9%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
▶	23.7%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Compiler

Compiled 55 to 36 computations (34.5% saved)

simplify6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
0	20	63
1	35	63
2	43	63
3	50	63
4	56	63
5	66	63
6	78	63
7	83	63
8	84	63
0	84	61

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (0.5%)

Memory

-6.6MiB live, 67.0MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
accuracy	33.18659506817327	#s(approx (+ x 1) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 y x x)
accuracy	25.679893163547654	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
accuracy	0.0	(*.f64 y x)
accuracy	23.88385943132738	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
accuracy	30.260317028199736	#s(approx (+ (* y x) y) (*.f64 y x))

Samples

25.0ms

256×

valid

Compiler

Compiled 111 to 31 computations (72.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-add: 8.0ms (50.4% of total)

ival-mult: 7.0ms (44.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

7 → 23

Calls

Call 1

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

Outputs
y
(+ y (* x (+ 1 y)))
(+ y (* x y))
(* x y)
(* x (+ 1 y))
1
(+ 1 x)
(* x (+ 1 (+ y (/ y x))))
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(+ x (* y (+ 1 x)))
(* y (+ 1 x))
(+ x (* x y))
(* y (+ 1 (+ x (/ x y))))
(* y (+ x (/ x y)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (+ (* x y) x) y) (+ (* y x) x) (+ (* (+ x 1) y) x) (+ x 1))
1.0ms	x	@	-inf	((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (+ (* x y) x) y) (+ (* y x) x) (+ (* (+ x 1) y) x) (+ x 1))
1.0ms	x	@	inf	((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (+ (* x y) x) y) (+ (* y x) x) (+ (* (+ x 1) y) x) (+ x 1))
0.0ms	y	@	0	((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (+ (* x y) x) y) (+ (* y x) x) (+ (* (+ x 1) y) x) (+ x 1))
0.0ms	y	@	inf	((+ (+ (* x y) x) y) (+ (* y x) y) (* y x) (+ (+ (* x y) x) y) (+ (* y x) x) (+ (* (+ x 1) y) x) (+ x 1))

simplify298.0ms (4.2%)

Memory

-4.0MiB live, 247.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	111
1	182	111
2	479	111
3	1285	111
4	2981	111
5	3877	111
6	4260	111
7	4546	111
8	4697	111
9	4785	111
0	8212	94

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 21

Calls

Call 1

Inputs
y
(+ y (* x (+ 1 y)))
(+ y (* x y))
(* x y)
(* x (+ 1 y))
1
(+ 1 x)
(* x (+ 1 (+ y (/ y x))))
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(+ x (* y (+ 1 x)))
(* y (+ 1 x))
(+ x (* x y))
(* y (+ 1 (+ x (/ x y))))
(* y (+ x (/ x y)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y)))))

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

rewrite219.0ms (3.1%)

Memory

-0.2MiB live, 156.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	58
0	20	56
1	101	56
2	676	56
0	8294	54

Stop Event

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

Counts

7 → 122

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
#s(approx (+ (* y x) y) (*.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(.f64 x (.f64 #s(literal 1 binary64) y))
(*.f64 x y)
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)
(.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 y x) x))))
(.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y y) x))))))
(*.f64 (+.f64 #s(literal 1 binary64) y) x)
(.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))) (.f64 (fma.f64 y x x) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))) #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x x) (-.f64 (*.f64 y y) y)))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y y) x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(.f64 (fma.f64 y x x) (.f64 (-.f64 (.f64 y x) x) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))))
(*.f64 (fma.f64 y x x) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 y x) x))))))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x)))) (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 y x) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) #s(literal 1 binary64)) (-.f64 (.f64 y x) x))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y y) x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y y) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 x x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 y x) x)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64))) (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (*.f64 y y) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x x)) (-.f64 (.f64 y x) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 (-.f64 (.f64 y x) x) (.f64 x x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal 2 binary64)))
(/.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x))) (.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (neg.f64 (-.f64 (*.f64 y x) x)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 x x) (-.f64 (.f64 y y) y)))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x)))))
(/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (-.f64 (*.f64 y x) x))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 x x) (-.f64 (.f64 y y) y))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (.f64 (.f64 y y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 x (.f64 (.f64 y y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 x x) (-.f64 (.f64 y y) y))) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(neg.f64 (neg.f64 (fma.f64 y x x)))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 y x) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y x) x))))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) x)
(fma.f64 y x x)
(fma.f64 x (*.f64 #s(literal 1 binary64) y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y x)
(-.f64 (/.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 y x) x)))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 y x) x))))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal -1 binary64)))
(.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (pow.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))) (+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (.f64 x x))) (.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (-.f64 (.f64 x x) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))) (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x))) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)) (neg.f64 (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))
(fma.f64 y #s(approx (+ x 1) #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))) (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 x (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))
(+.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(+.f64 x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))
#s(approx (+ x 1) #s(literal 1 binary64))

eval37.0ms (0.5%)

Memory: -14.0MiB live, 25.6MiB allocated
Compiler: Compiled 3 676 to 419 computations (88.6% saved)

prune5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	128	6	134

Accuracy

100.0%

Counts

134 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
✓	78.3%	(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
✓	62.7%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	59.9%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
▶	59.9%	#s(approx (+ (+ (* x y) x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) x))
✓	23.7%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Compiler

Compiled 68 to 45 computations (33.8% saved)

simplify5.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (+ (+ (* x y) x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) x))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) y) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	11	24
1	20	24
2	34	24
3	37	24
4	53	24
5	55	24
6	58	24
7	62	24
0	62	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.4%)

Memory

-12.6MiB live, 23.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.01171875	(*.f64 (+.f64 #s(literal 1 binary64) y) x)
accuracy	25.679893163547654	#s(approx (+ (+ (* x y) x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) x))

Samples

22.0ms

256×

valid

Compiler

Compiled 44 to 19 computations (56.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 12.0ms (75.2% of total)

ival-add: 4.0ms (25.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

3 → 19

Calls

Call 1

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

Outputs
(* x (+ 1 y))
y
(+ y (* x (+ 1 y)))
(* x (+ 1 (+ y (/ y x))))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
x
(+ x (* x y))
(+ x (* y (+ 1 x)))
1
(+ 1 y)
(* x y)
(* y (+ x (/ x y)))
(* y (+ 1 x))
(* y (+ 1 (+ x (/ x y))))
(* y (+ 1 (/ 1 y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* (+ 1 y) x) (+ (+ (* x y) x) y) (+ 1 y))
1.0ms	x	@	inf	((* (+ 1 y) x) (+ (+ (* x y) x) y) (+ 1 y))
0.0ms	y	@	-inf	((* (+ 1 y) x) (+ (+ (* x y) x) y) (+ 1 y))
0.0ms	x	@	0	((* (+ 1 y) x) (+ (+ (* x y) x) y) (+ 1 y))
0.0ms	y	@	inf	((* (+ 1 y) x) (+ (+ (* x y) x) y) (+ 1 y))

simplify227.0ms (3.2%)

Memory

-3.3MiB live, 77.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	89
1	140	89
2	350	89
3	1024	89
4	2975	89
5	4845	89
6	5864	89
7	6915	89
0	8028	76

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

Inputs
(* x (+ 1 y))
y
(+ y (* x (+ 1 y)))
(* x (+ 1 (+ y (/ y x))))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
x
(+ x (* x y))
(+ x (* y (+ 1 x)))
1
(+ 1 y)
(* x y)
(* y (+ x (/ x y)))
(* y (+ 1 x))
(* y (+ 1 (+ x (/ x y))))
(* y (+ 1 (/ 1 y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))

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

rewrite365.0ms (5.2%)

Memory

-21.1MiB live, 262.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	11	21
1	55	21
2	446	21
3	6873	21
0	8447	18

Stop Event

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

Counts

3 → 151

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x) (-.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x x) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 y y) y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (-.f64 (.f64 y y) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (.f64 y y) y) (-.f64 (-.f64 (.f64 y y) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x y x) x (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 x y)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (-.f64 x (.f64 x y)) x)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x (.f64 x y)) x) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 x y)) x) (-.f64 (.f64 (-.f64 x (.f64 x y)) x) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (fma.f64 x y x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x x) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x y))))
(.f64 (pow.f64 (-.f64 (.f64 x y) x) #s(literal -1 binary64)) (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))))
(.f64 (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 x y)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 x y) x))))
(.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 x y)))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x))
(.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (pow.f64 (-.f64 (.f64 x y) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 x y)))) (/.f64 (fma.f64 x y x) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 x y))))))
(.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 x y)))) (.f64 (fma.f64 x y x) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 x y)))) #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 x y)))) #s(literal -1 binary64)))
(.f64 (fma.f64 x y x) (/.f64 (-.f64 (.f64 x y) x) (-.f64 (*.f64 x y) x)))
(.f64 (fma.f64 x y x) (.f64 (-.f64 (.f64 x y) x) (pow.f64 (-.f64 (.f64 x y) x) #s(literal -1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 x y x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 x y) x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 x y) x) #s(literal -1 binary64))) (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 x y)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 x y) #s(literal 9 binary64))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 x y)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))) x) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)))) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 x (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) x)) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) x))) (.f64 (.f64 x (/.f64 x (-.f64 (.f64 x y) x))) (.f64 x (/.f64 x (-.f64 (.f64 x y) x))))) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) x)) (.f64 x (/.f64 x (-.f64 (.f64 x y) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 x y) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) x)) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) x)) (fma.f64 (.f64 x (/.f64 x (-.f64 (.f64 x y) x))) (.f64 x (/.f64 x (-.f64 (.f64 x y) x))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 x y) x)))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x)) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x)))) (neg.f64 (-.f64 x (.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x y) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 x y)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 x y))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 4 binary64))) (-.f64 (.f64 x y) x)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 x y) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 x y))))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) #s(literal 1 binary64)) (-.f64 (.f64 x y) x))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 x y)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x y) x)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) x)) (.f64 (-.f64 (.f64 x y) x) (.f64 x x))) (pow.f64 (-.f64 (*.f64 x y) x) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 (.f64 x y) x) (fma.f64 x x (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x))) (-.f64 x (.f64 x y)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 x y)))) (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (.f64 x y) x) (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 x y) #s(literal 9 binary64))) (.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 x y)))) (-.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (neg.f64 (-.f64 (*.f64 x y) x)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 x y))))))
(/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (-.f64 (*.f64 x y) x))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 x y)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x y)) (.f64 x (-.f64 x (.f64 (.f64 y y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y x)))
(neg.f64 (neg.f64 (fma.f64 x y x)))
(fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x y x) x (pow.f64 (.f64 x y) #s(literal 2 binary64))) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 x y) x)))))
(fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (fma.f64 x y x) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 x y) x)))))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (-.f64 (.f64 x y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 x y) x)))))
(fma.f64 (.f64 y y) (.f64 x (/.f64 x (-.f64 (.f64 x y) x))) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 x y) x)))))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 x y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 x y) x)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 x y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 x y) x)))))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 x y) x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 x y) x)))))
(fma.f64 (.f64 x y) (/.f64 (.f64 x y) (-.f64 (.f64 x y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 x y) x)))))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) x)
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (-.f64 (.f64 x y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 x y) x)))))
(fma.f64 x y x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (-.f64 (.f64 x y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (*.f64 x y) x)))))
(fma.f64 y x x)
(fma.f64 #s(literal 1 binary64) (*.f64 x y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x y))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 x (.f64 x y))))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) x)) (.f64 x (/.f64 x (-.f64 (.f64 x y) x))))
(+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 x y) x)))))
(+.f64 (*.f64 x y) x)
(+.f64 x (*.f64 x y))
#s(approx (+ (+ (* x y) x) y) (fma.f64 x y x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 y y) y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 (.f64 y y) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (.f64 y y) y) (-.f64 (-.f64 (.f64 y y) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (.f64 (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (fma.f64 (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y y))) (.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (-.f64 #s(literal 1 binary64) y))))
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 y #s(literal 1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)

eval19.0ms (0.3%)

Memory: 3.7MiB live, 42.0MiB allocated
Compiler: Compiled 4 209 to 612 computations (85.5% saved)

prune5.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	156	7	163

Accuracy

100.0%

Counts

163 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
✓	78.3%	(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
✓	62.7%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	59.9%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
✓	59.9%	#s(approx (+ (+ (* x y) x) y) (*.f64 (+.f64 #s(literal 1 binary64) y) x))
	38.8%	#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) x))
✓	23.7%	#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Compiler

Compiled 173 to 87 computations (49.7% saved)

regimes11.0ms (0.2%)

Memory

-15.3MiB live, 23.6MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
3.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes8.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

Accuracy	Segments	Branch
99.4%	3	`x`
99.6%	3	`y`
98.0%	2	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

-28.2MiB live, 10.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))

Calls

2 calls:

4.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
2.0ms	y

Results

Accuracy	Segments	Branch
98.0%	2	`(+.f64 (+.f64 (*.f64 x y) x) y)`
88.5%	2	`y`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

Accuracy	Segments	Branch
59.9%	1	`y`
59.9%	1	`x`
59.9%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

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

#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

Accuracy	Segments	Branch
45.1%	2	`x`
58.8%	3	`y`
54.4%	3	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Outputs
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Calls

3 calls:

1.0ms	x
1.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
1.0ms	y

Results

Accuracy	Segments	Branch
23.7%	1	`x`
23.7%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`
23.7%	1	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch44.0ms (0.6%)

Memory

-6.3MiB live, 36.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.005294784695729e-10	1.335349777693892e-7
32.0ms	-2.6956325023607607e-9	-1.314774225844358e-29

Samples

31.0ms

304×

valid

Compiler

Compiled 401 to 336 computations (16.2% saved)

Precisions

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

ival-add: 3.0ms (56.3% of total)

ival-mult: 2.0ms (37.5% of total)

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

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

bsearch2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.005294784695729e-10	1.335349777693892e-7
1.0ms	-2.6956325023607607e-9	-1.314774225844358e-29

Compiler

Compiled 390 to 314 computations (19.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.986023741113662e-184	1.5331322137029726e-297

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch80.0ms (1.1%)

Memory

-25.9MiB live, 52.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	1.335349777693892e-7	14365.55008049596
31.0ms	-1.7277636117579556	-0.00010920647241057595

Samples

33.0ms

288×

valid

Compiler

Compiled 586 to 424 computations (27.6% saved)

Precisions

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

ival-add: 2.0ms (40.1% of total)

ival-mult: 2.0ms (40.1% of total)

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

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

simplify21.0ms (0.3%)

Memory

-2.6MiB live, 36.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	191
1	59	191
2	66	191
3	68	191
4	80	191
5	80	191
6	98	191
7	100	191
8	101	191

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(if (<=.f64 y #s(literal -6407306843957535/2417851639229258349412352 binary64)) #s(approx (+ (+ (* x y) x) y) (.f64 (+.f64 #s(literal 1 binary64) y) x)) (if (<=.f64 y #s(literal 4911261142184431/37778931862957161709568 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #s(approx (+ (+ ( x y) x) y) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -6407306843957535/2417851639229258349412352 binary64)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (if (<=.f64 y #s(literal 4911261142184431/37778931862957161709568 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -4784065733063811/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (.f64 y x))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (+ (+ ( x y) x) y) (.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) x)) #s(approx (+ (+ ( x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))))
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

Outputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(if (<=.f64 y #s(literal -6407306843957535/2417851639229258349412352 binary64)) #s(approx (+ (+ (* x y) x) y) (.f64 (+.f64 #s(literal 1 binary64) y) x)) (if (<=.f64 y #s(literal 4911261142184431/37778931862957161709568 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #s(approx (+ (+ ( x y) x) y) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -6407306843957535/2417851639229258349412352 binary64)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (if (<=.f64 y #s(literal 4911261142184431/37778931862957161709568 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -4784065733063811/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (.f64 y x))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (+ (+ ( x y) x) y) (.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) x)) #s(approx (+ (+ ( x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (.f64 y x))) #s(approx (+ (+ ( x y) x) y) (*.f64 #s(approx (+ 1 y) #s(literal 1 binary64)) x)))
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

soundness2.1s (29.9%)

Memory

14.5MiB live, 530.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	38	15
2	332	15
3	5317	15
0	8170	13
0	41	82
1	131	82
2	340	82
3	987	82
4	2291	82
5	3351	82
6	3968	82
7	4675	82
8	4890	82
9	5033	82
10	5745	82
0	8235	69
0	16	58
0	20	56
1	101	56
2	676	56
0	8294	54
0	48	96
1	164	96
2	437	96
3	1249	96
4	2923	96
5	3807	96
6	4195	96
7	4481	96
8	4631	96
9	4719	96
0	8611	82
0	44	89
1	140	89
2	350	89
3	1024	89
4	2975	89
5	4845	89
6	5864	89
7	6915	89
0	8028	76

Stop Event

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

Compiler

Compiled 333 to 150 computations (55% saved)

preprocess1.1s (15.1%)

Memory: -6.0MiB live, 70.6MiB allocated
Compiler: Compiled 408 to 114 computations (72.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample674.0ms (9.6%)

explain84.0ms (1.2%)

preprocess74.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize48.0ms (0.7%)

series4.0ms (0.1%)

simplify225.0ms (3.2%)

rewrite344.0ms (4.9%)

eval20.0ms (0.3%)

prune22.0ms (0.3%)

simplify5.0ms (0.1%)

localize139.0ms (2%)

series4.0ms (0.1%)

simplify422.0ms (6%)

rewrite289.0ms (4.1%)

eval63.0ms (0.9%)

prune6.0ms (0.1%)

simplify6.0ms (0.1%)

localize33.0ms (0.5%)

series3.0ms (0%)

simplify298.0ms (4.2%)

rewrite219.0ms (3.1%)

eval37.0ms (0.5%)

prune5.0ms (0.1%)

simplify5.0ms (0.1%)

localize28.0ms (0.4%)

series3.0ms (0%)

simplify227.0ms (3.2%)

rewrite365.0ms (5.2%)

eval19.0ms (0.3%)

prune5.0ms (0.1%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch44.0ms (0.6%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch80.0ms (1.1%)

simplify21.0ms (0.3%)

soundness2.1s (29.9%)

preprocess1.1s (15.1%)

end0.0ms (0%)

Profiling