Metrics for Data.Colour.SRGB:transferFunction from colour-2.3.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 8 computations (11.1% saved)

sample1.1s (18%)

Memory

30.5MiB live, 1 138.2MiB allocated

Samples

728.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 273.0ms

ival-mult: 106.0ms (38.9% of total)

ival-add: 85.0ms (31.2% of total)

ival-sub: 66.0ms (24.2% of total)

ival-true: 6.0ms (2.2% of total)

exact: 6.0ms (2.2% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain77.0ms (1.3%)

Memory

-3.9MiB live, 139.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x #s(literal 1 binary64))`
-	-	`(*.f64 (+.f64 x #s(literal 1 binary64)) y)`
-	-	`y`
-	-	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
-	-	`#s(literal 1 binary64)`
-	-	`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

32.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 12.0ms (63.7% of total)

ival-add: 3.0ms (15.9% of total)

ival-sub: 2.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess66.0ms (1.1%)

Memory

-25.0MiB live, 128.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	26	43
2	54	41
3	156	41
4	295	36
5	545	35
6	947	35
7	1309	35
8	1363	35
9	1363	35
0	6	7
0	9	7
1	13	7
2	21	7
3	52	7
4	94	7
5	180	7
6	295	7
7	457	7
8	610	7
9	720	7
10	740	7
0	740	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify28.0ms (0.5%)

Memory

-8.3MiB live, 38.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	21	18
3	52	18
4	94	18
5	180	18
6	295	18
7	457	18
8	610	18
9	720	18
10	740	18
0	740	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.3%)

Memory

14.8MiB live, 62.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (+.f64 x #s(literal 1 binary64)) y)

Samples

14.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-add: 2.0ms (39.3% of total)

ival-mult: 2.0ms (39.3% of total)

ival-sub: 1.0ms (19.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

3 → 19

Calls

Call 1

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

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

Calls

6 calls:

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

simplify140.0ms (2.4%)

Memory

-7.0MiB live, 135.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	86
1	147	86
2	470	86
3	1358	86
4	3111	86
5	5486	86
6	6761	86
0	8042	76

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

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

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

rewrite226.0ms (3.9%)

Memory

24.8MiB live, 207.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	37	15
2	246	15
3	2969	15
0	10458	13

Stop Event

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

Counts

3 → 252

Calls

Call 1

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

Outputs
(.f64 (fabs.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fabs.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(.f64 (fabs.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fabs.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (fabs.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(.f64 (fabs.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))))) (fabs.f64 (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 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fabs.f64 (fma.f64 x x #s(literal -1 binary64))) (fabs.f64 (/.f64 y (-.f64 x #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (fabs.f64 y)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 y x y)))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 y x y)))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 y x y))) (sqrt.f64 (neg.f64 (fma.f64 y x y))))
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y)))
(.f64 (sqrt.f64 (.f64 (fma.f64 y x y) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (.f64 (fma.f64 y x y) y)))
(*.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log1p.f64 x)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(.f64 (pow.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)))) #s(literal 1 binary64)) (pow.f64 (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))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.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 x #s(literal 1 binary64)) #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 (fabs.f64 y) (fabs.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) x)) (fabs.f64 y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) y)
(pow.f64 (neg.f64 (fma.f64 y x y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(/.f64 (fabs.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y)) (fabs.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) y)) (fabs.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (fabs.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 y (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (fabs.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fabs.f64 (-.f64 y (*.f64 y x))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y y))) (fabs.f64 (-.f64 (*.f64 y x) y)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y y (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (.f64 y x))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (*.f64 y x) y)))))
(/.f64 (fabs.f64 (fabs.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (fabs.f64 (fabs.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (fabs.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))) (fabs.f64 (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 y x y))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (fma.f64 y x y))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (fma.f64 y x y) y))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 y x y) y))) (sqrt.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 y x y) y))) (sqrt.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 y x y) y))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 y x y) y))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 y x y) y) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 y x y) y) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 y x y) y) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 y x y) y) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 y x y) y) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 y x y) (.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 y x y) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
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(fma.f64 (sqrt.f64 (*.f64 (fma.f64 y x y) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (fma.f64 y x y) y)) (neg.f64 x))
(fma.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log.f64 y)) (neg.f64 x))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log1p.f64 x)) (neg.f64 x))
(fma.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.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)))) #s(literal 1 binary64)) (pow.f64 (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))) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (neg.f64 x))
(fma.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)) (neg.f64 x))
(fma.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) (neg.f64 x))
(fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (neg.f64 x))
(fma.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))) (neg.f64 x))
(fma.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (fma.f64 y x y)) (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (-.f64 (fma.f64 y x y) x) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (fabs.f64 y) (fabs.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(fma.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) x)) (fabs.f64 y) (neg.f64 x))
(fma.f64 (.f64 (fma.f64 y x y) y) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) (/.f64 y (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (-.f64 y x))
(fma.f64 (.f64 y y) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (.f64 y y) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (neg.f64 (fma.f64 y x y)) (/.f64 (neg.f64 (fma.f64 y x y)) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (-.f64 x #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(fma.f64 (fma.f64 y x y) (/.f64 (fma.f64 y x y) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 y (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 y (+.f64 #s(literal 1 binary64) x) (neg.f64 x))
(fma.f64 y #s(literal 1 binary64) (-.f64 (*.f64 y x) x))
(fma.f64 y x (-.f64 y x))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (fma.f64 y x y) y) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (+.f64 #s(literal 1 binary64) x) y (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (-.f64 y x))
(fma.f64 #s(literal 1 binary64) y (-.f64 (*.f64 y x) x))
(fma.f64 x y (-.f64 y x))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))))
(-.f64 (fma.f64 y x y) x)
(+.f64 (*.f64 y x) (-.f64 y x))
(+.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))))
(+.f64 (fma.f64 y x y) (neg.f64 x))
(+.f64 y (-.f64 (*.f64 y x) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.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 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.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 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (.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 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.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))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.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 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval166.0ms (2.8%)

Memory: -14.7MiB live, 30.7MiB allocated
Compiler: Compiled 5 323 to 887 computations (83.3% saved)

prune4.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	255	4	259
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	256	4	260

Accuracy

100.0%

Counts

260 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (-.f64 y x))
▶	80.1%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
▶	57.0%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
▶	37.8%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify126.0ms (2.1%)

Memory

-26.6MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	73
0	23	73
1	32	72
2	46	72
3	71	72
4	134	72
5	246	72
6	415	72
7	564	72
8	766	72
9	836	72
10	846	72
0	846	70

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize162.0ms (2.8%)

Memory

18.5MiB live, 76.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y x (-.f64 y x))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
accuracy	0.0078125	(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
accuracy	26.959976619551238	#s(approx (+ x 1) #s(literal 1 binary64))
accuracy	0.0	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
accuracy	0.0	(*.f64 y x)
accuracy	35.625739896397405	#s(approx (* (+ x 1) y) (*.f64 y x))
accuracy	0.0	(neg.f64 x)
accuracy	39.807634356133576	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Samples

152.0ms

256×

valid

Compiler

Compiled 59 to 12 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-add: 134.0ms (94.4% of total)

ival-mult: 3.0ms (2.1% of total)

ival-sub: 2.0ms (1.4% of total)

ival-neg: 1.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.4%)

Memory

-27.9MiB live, 16.8MiB allocated

Counts

10 → 27

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) (+ (* y x) (- y x)) (- y x))
2.0ms	x	@	inf	((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) (+ (* y x) (- y x)) (- y x))
1.0ms	x	@	0	((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) (+ (* y x) (- y x)) (- y x))
1.0ms	y	@	inf	((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) (+ (* y x) (- y x)) (- y x))
1.0ms	y	@	-inf	((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) (+ (* y x) (- y x)) (- y x))

simplify404.0ms (6.9%)

Memory

6.4MiB live, 161.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	122
1	198	116
2	603	116
3	1605	116
4	3632	116
5	4756	116
6	5634	116
7	6629	116
8	7374	116
9	7741	116
0	8828	104

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 25

Calls

Call 1

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

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

rewrite546.0ms (9.3%)

Memory

12.4MiB live, 330.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
0	23	65
1	97	64
2	730	64
0	8484	62

Stop Event

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

Counts

10 → 150

Calls

Call 1

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

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

eval48.0ms (0.8%)

Memory: -12.4MiB live, 45.7MiB allocated
Compiler: Compiled 5 990 to 513 computations (91.4% saved)

prune3.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	159	4	163

Accuracy

100.0%

Counts

163 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.1%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	57.0%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
✓	37.8%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
▶	64.8%	#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))

Compiler

Compiled 42 to 31 computations (26.2% saved)

simplify38.0ms (0.6%)

Memory

-11.6MiB live, 36.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
0	8	17
1	12	17
2	27	17
3	47	17
4	82	17
5	112	17
6	202	17
7	403	17
8	662	17
9	736	17
10	839	17
11	859	17
0	859	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.3%)

Memory

7.9MiB live, 52.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(fma.f64 y x y)
accuracy	22.53523952699178	#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))

Samples

15.0ms

256×

valid

Compiler

Compiled 16 to 8 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 2.0ms (33.9% of total)

ival-mult: 2.0ms (33.9% of total)

ival-sub: 1.0ms (17% of total)

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

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

series2.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

2 → 16

Calls

Call 1

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

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

Calls

6 calls:

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

simplify114.0ms (1.9%)

Memory

0.9MiB live, 101.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	83
1	136	83
2	420	83
3	1171	83
4	2783	83
5	4461	83
6	5271	83
7	6094	83
8	7150	83
0	8144	72

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

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

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

rewrite255.0ms (4.3%)

Memory

18.9MiB live, 338.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
0	8	15
1	44	15
2	380	15
3	5481	15
0	8137	15

Stop Event

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

Counts

2 → 67

Calls

Call 1

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

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

eval26.0ms (0.4%)

Memory: -25.9MiB live, 29.9MiB allocated
Compiler: Compiled 2 567 to 291 computations (88.7% saved)

prune3.0ms (0%)

Memory

14.4MiB live, 14.4MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	71	5	76

Accuracy

100.0%

Counts

76 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.1%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	57.0%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
✓	37.8%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓	64.8%	#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
▶	21.9%	#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))

Compiler

Compiled 59 to 40 computations (32.2% saved)

simplify22.0ms (0.4%)

Memory

-23.5MiB live, 24.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
0	10	31
1	14	31
2	29	31
3	49	31
4	84	31
5	114	31
6	204	31
7	405	31
8	667	31
9	744	31
10	847	31
11	866	31
0	866	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.3%)

Memory

33.0MiB live, 33.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	22.53523952699178	#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))
accuracy	35.625739896397405	#s(approx (+ (* y x) y) (*.f64 x y))

Samples

13.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-mult: 3.0ms (42.1% of total)

ival-add: 2.0ms (28.1% of total)

ival-sub: 1.0ms (14% of total)

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

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

series2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

3 → 16

Calls

Call 1

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

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

Calls

6 calls:

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

simplify133.0ms (2.3%)

Memory

-19.0MiB live, 71.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	83
1	136	83
2	420	83
3	1171	83
4	2783	83
5	4461	83
6	5271	83
7	6094	83
8	7150	83
0	8144	72

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

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

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

rewrite258.0ms (4.4%)

Memory

24.8MiB live, 261.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	10	29
1	46	29
2	382	29
3	5477	29
0	8131	26

Stop Event

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

Counts

3 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 3.2MiB live, 3.3MiB allocated
Compiler: Compiled 156 to 28 computations (82.1% saved)

prune8.0ms (0.1%)

Memory

-34.1MiB live, 9.4MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	10	5	15

Accuracy

100.0%

Counts

15 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.1%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	57.0%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
✓	37.8%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓	64.8%	#s(approx (+ (* y x) (- y x)) (fma.f64 y x y))
✓	21.9%	#s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))

Compiler

Compiled 131 to 69 computations (47.3% saved)

regimes8.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(fma.f64 y x (-.f64 y x))

Calls

3 calls:

3.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.2%)

Memory

-23.9MiB live, 20.3MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
91.7%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
99.3%	3	`x`
99.2%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms	y

Results

Accuracy	Segments	Branch
68.6%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
86.4%	3	`y`
88.9%	3	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
86.4%	3	`y`
73.4%	4	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

-30.7MiB live, 15.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms	y

Results

Accuracy	Segments	Branch
49.3%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
39.4%	2	`x`
56.2%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
37.8%	1	`x`
37.8%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
37.8%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch19.0ms (0.3%)

Memory

30.4MiB live, 30.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	4.054432836712902e-40	4.151163046528195e-39
10.0ms	-3766668333.5854893	-4117446.594357437

Samples

9.0ms

224×

valid

Compiler

Compiled 290 to 263 computations (9.3% saved)

Precisions

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

ival-mult: 2.0ms (47.1% of total)

ival-sub: 1.0ms (23.5% of total)

ival-add: 1.0ms (23.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch98.0ms (1.7%)

Memory

-38.1MiB live, 31.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	4.054432836712902e-40	4.151163046528195e-39
91.0ms	-4117446.594357437	-5.138252213454792e-7

Samples

10.0ms

224×

valid

Compiler

Compiled 378 to 283 computations (25.1% saved)

Precisions

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

ival-mult: 2.0ms (41.9% of total)

ival-sub: 1.0ms (21% of total)

ival-add: 1.0ms (21% of total)

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

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.6%)

Memory

18.5MiB live, 66.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.2306109653198195e-44	0.05720844230283447
10.0ms	-2.170415523986142e-75	-3.5096380676045155e-78

Samples

20.0ms

320×

valid

Compiler

Compiled 450 to 351 computations (22% saved)

Precisions

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

ival-add: 9.0ms (66.2% of total)

ival-sub: 2.0ms (14.7% of total)

ival-mult: 2.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch30.0ms (0.5%)

Memory

-7.8MiB live, 82.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.05720844230283447	251.17202073799572
15.0ms	-24261158864.515232	-0.00032806243572128734

Samples

14.0ms

288×

valid

Compiler

Compiled 496 to 353 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 2.0ms (35.5% of total)

ival-mult: 2.0ms (35.5% of total)

ival-sub: 1.0ms (17.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify30.0ms (0.5%)

Memory

-39.8MiB live, 63.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	144
1	74	144
2	94	144
3	119	144
4	190	144
5	347	144
6	498	144
7	575	144
8	622	144
9	623	144

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 x #s(literal -4200000 binary64)) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) (if (<=.f64 x #s(literal 6129982163463555/1532495540865888858358347027150309183618739122183602176 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))
(if (<=.f64 x #s(literal -7/4 binary64)) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) (if (<=.f64 x #s(literal 3984488406251311/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ ( y x) (- y x)) (fma.f64 y x y)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))
(if (<=.f64 y #s(literal -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 6065906192498363/1237940039285380274899124224 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Outputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 x #s(literal -4200000 binary64)) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) (if (<=.f64 x #s(literal 6129982163463555/1532495540865888858358347027150309183618739122183602176 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))
(if (or (<=.f64 x #s(literal -4200000 binary64)) (not (<=.f64 x #s(literal 6129982163463555/1532495540865888858358347027150309183618739122183602176 binary64)))) (-.f64 #s(approx (+ (* y x) y) (.f64 y x)) x) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))
(if (<=.f64 x #s(literal -7/4 binary64)) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) (if (<=.f64 x #s(literal 3984488406251311/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (+ ( y x) (- y x)) (fma.f64 y x y)) (-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)))
(if (or (<=.f64 x #s(literal -7/4 binary64)) (not (<=.f64 x #s(literal 3984488406251311/3064991081731777716716694054300618367237478244367204352 binary64)))) (-.f64 #s(approx (+ (* y x) y) (.f64 y x)) x) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x y)))
(if (<=.f64 y #s(literal -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y)) (if (<=.f64 y #s(literal 6065906192498363/1237940039285380274899124224 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) (fma.f64 y x y))))
(if (or (<=.f64 y #s(literal -1680554680475951/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (not (<=.f64 y #s(literal 6065906192498363/1237940039285380274899124224 binary64)))) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x y)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* y x) y) (*.f64 x y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (- (* (+ x 1) y) x) #s(approx (+ (* y x) y) (.f64 x y))) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

soundness1.6s (26.6%)

Memory

7.4MiB live, 535.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	122
1	198	116
2	603	116
3	1605	116
4	3632	116
5	4756	116
6	5634	116
7	6629	116
8	7374	116
9	7741	116
0	8828	104
0	41	83
1	136	83
2	420	83
3	1171	83
4	2783	83
5	4461	83
6	5271	83
7	6094	83
8	7150	83
0	8144	72
0	6	15
0	9	15
1	37	15
2	246	15
3	2969	15
0	10458	13
0	41	86
1	147	86
2	470	86
3	1358	86
4	3111	86
5	5486	86
6	6761	86
0	8042	76

Stop Event

1×	done
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

Compiler

Compiled 229 to 116 computations (49.3% saved)

preprocess64.0ms (1.1%)

Memory: 31.1MiB live, 75.4MiB allocated
Compiler: Compiled 302 to 114 computations (62.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	21	18
3	52	18
4	94	18
5	180	18
6	295	18
7	457	18
8	610	18
9	720	18
10	740	18
0	740	16

Iter	Nodes	Cost
0	16	73
0	23	73
1	32	72
2	46	72
3	71	72
4	134	72
5	246	72
6	415	72
7	564	72
8	766	72
9	836	72
10	846	72
0	846	70

Iter	Nodes	Cost
0	7	18
0	8	17
1	12	17
2	27	17
3	47	17
4	82	17
5	112	17
6	202	17
7	403	17
8	662	17
9	736	17
10	839	17
11	859	17
0	859	17

Iter	Nodes	Cost
0	9	31
0	10	31
1	14	31
2	29	31
3	49	31
4	84	31
5	114	31
6	204	31
7	405	31
8	667	31
9	744	31
10	847	31
11	866	31
0	866	28

Iter	Nodes	Cost
0	48	144
1	74	144
2	94	144
3	119	144
4	190	144
5	347	144
6	498	144
7	575	144
8	622	144
9	623	144

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	21	18
3	52	18
4	94	18
5	180	18
6	295	18
7	457	18
8	610	18
9	720	18
10	740	18
0	740	16

Iter	Nodes	Cost
0	16	73
0	23	73
1	32	72
2	46	72
3	71	72
4	134	72
5	246	72
6	415	72
7	564	72
8	766	72
9	836	72
10	846	72
0	846	70

Iter	Nodes	Cost
0	7	18
0	8	17
1	12	17
2	27	17
3	47	17
4	82	17
5	112	17
6	202	17
7	403	17
8	662	17
9	736	17
10	839	17
11	859	17
0	859	17

Iter	Nodes	Cost
0	9	31
0	10	31
1	14	31
2	29	31
3	49	31
4	84	31
5	114	31
6	204	31
7	405	31
8	667	31
9	744	31
10	847	31
11	866	31
0	866	28

Iter	Nodes	Cost
0	48	144
1	74	144
2	94	144
3	119	144
4	190	144
5	347	144
6	498	144
7	575	144
8	622	144
9	623	144

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (18%)

explain77.0ms (1.3%)

preprocess66.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify28.0ms (0.5%)

localize19.0ms (0.3%)

series3.0ms (0.1%)

simplify140.0ms (2.4%)

rewrite226.0ms (3.9%)

eval166.0ms (2.8%)

prune4.0ms (0.1%)

simplify126.0ms (2.1%)

localize162.0ms (2.8%)

series23.0ms (0.4%)

simplify404.0ms (6.9%)

rewrite546.0ms (9.3%)

eval48.0ms (0.8%)

prune3.0ms (0.1%)

simplify38.0ms (0.6%)

localize20.0ms (0.3%)

series2.0ms (0%)

simplify114.0ms (1.9%)

rewrite255.0ms (4.3%)

eval26.0ms (0.4%)

prune3.0ms (0%)

simplify22.0ms (0.4%)

localize18.0ms (0.3%)

series2.0ms (0%)

simplify133.0ms (2.3%)

rewrite258.0ms (4.4%)

eval1.0ms (0%)

prune8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch19.0ms (0.3%)

bsearch98.0ms (1.7%)

bsearch35.0ms (0.6%)

bsearch30.0ms (0.5%)

simplify30.0ms (0.5%)

soundness1.6s (26.6%)

preprocess64.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	21	18
3	52	18
4	94	18
5	180	18
6	295	18
7	457	18
8	610	18
9	720	18
10	740	18
0	740	16

Iter	Nodes	Cost
0	16	73
0	23	73
1	32	72
2	46	72
3	71	72
4	134	72
5	246	72
6	415	72
7	564	72
8	766	72
9	836	72
10	846	72
0	846	70

Iter	Nodes	Cost
0	7	18
0	8	17
1	12	17
2	27	17
3	47	17
4	82	17
5	112	17
6	202	17
7	403	17
8	662	17
9	736	17
10	839	17
11	859	17
0	859	17

Iter	Nodes	Cost
0	9	31
0	10	31
1	14	31
2	29	31
3	49	31
4	84	31
5	114	31
6	204	31
7	405	31
8	667	31
9	744	31
10	847	31
11	866	31
0	866	28

Iter	Nodes	Cost
0	48	144
1	74	144
2	94	144
3	119	144
4	190	144
5	347	144
6	498	144
7	575	144
8	622	144
9	623	144