Metrics for Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A

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 13 to 12 computations (7.7% saved)

sample1.1s (13.4%)

Memory

0.5MiB live, 1 640.2MiB allocated

Samples

839.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 551.0ms

const: 211.0ms (38.3% of total)

ival-sub: 152.0ms (27.6% of total)

ival-mult: 98.0ms (17.8% of total)

ival-add: 74.0ms (13.4% of total)

exact: 8.0ms (1.5% of total)

ival-true: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess191.0ms (2.3%)

Memory

15.9MiB live, 130.9MiB allocated

Algorithm

2×	egg-herbie

Rules

1 376×	`accelerator-lowering-fma.f32`
1 376×	`accelerator-lowering-fma.f64`
862×	`sub-neg`
530×	`unsub-neg`
492×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	82	70
2	209	66
3	666	56
4	1681	54
5	3183	54
6	3711	54
7	3848	54
8	3874	54
9	3878	54
10	3923	54
11	3983	54
12	4007	54
13	4007	54
14	4007	54
0	10	11
1	25	11
2	53	11
3	105	9
4	207	9
5	432	9
6	831	9
7	1224	9
8	1464	9
9	1485	9
0	1485	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)

Outputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

Call 2

Inputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000)
(neg (+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000))
(neg (+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000))
(+ (- (* y (- x 1)) (* x 1/2)) 918938533204673/1000000000000000)

Outputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
(+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+ (* y (- -1/2 x)) (+ x 918938533204673/1000000000000000))
(+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000)
(+ (* y (- 1/2 x)) (- 918938533204673/1000000000000000 x))
(neg (+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000))
(+ (* y (+ x 1/2)) (- -918938533204673/1000000000000000 x))
(neg (+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000))
(+ (* y (+ x -1/2)) (+ x -918938533204673/1000000000000000))
(+ (- (* y (- x 1)) (* x 1/2)) 918938533204673/1000000000000000)
(+ (* x (+ y -1/2)) (- 918938533204673/1000000000000000 y))

explain203.0ms (2.5%)

Memory

-8.1MiB live, 239.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 y #s(literal 1 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
-	-	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
-	-	`#s(literal 918938533204673/1000000000000000 binary64)`
-	-	`(*.f64 x (-.f64 y #s(literal 1 binary64)))`
-	-	`y`
-	-	`(*.f64 y #s(literal 1/2 binary64))`
-	-	`#s(literal 1/2 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

69.0ms

512×

valid

Compiler

Compiled 102 to 44 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 34.0ms (66.8% of total)

const: 9.0ms (17.7% of total)

ival-sub: 5.0ms (9.8% of total)

ival-add: 2.0ms (3.9% of total)

exact: 1.0ms (2% of total)

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

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

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify57.0ms (0.7%)

Memory

10.1MiB live, 83.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓	cost-diff	128	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓	cost-diff	320	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))

Rules

1 376×	`accelerator-lowering-fma.f32`
1 376×	`accelerator-lowering-fma.f64`
352×	`+-lowering-+.f64`
352×	`--lowering--.f32`
352×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	25	36
2	53	36
3	105	32
4	207	32
5	432	32
6	831	32
7	1224	32
8	1464	32
9	1485	32
0	1485	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(- (* x (- y 1)) (* y 1/2))
(* x (- y 1))
x
(- y 1)
y
1
(* y 1/2)
1/2
918938533204673/1000000000000000

Outputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(- (* x (- y 1)) (* y 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(* x (- y 1))
(-.f64 (*.f64 x y) x)
x
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
1
#s(literal 1 binary64)
(* y 1/2)
(*.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)

localize43.0ms (0.5%)

Memory

0.9MiB live, 75.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x (-.f64 y #s(literal 1 binary64)))

Samples

33.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

const: 4.0ms (34% of total)

ival-sub: 3.0ms (25.5% of total)

ival-mult: 3.0ms (25.5% of total)

ival-add: 1.0ms (8.5% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (- (* x (- y 1)) (* y 1/2))>
#<alt (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)>
#<alt (* x (- y 1))>
#<alt (- y 1)>
#<alt (* y 1/2)>

Outputs
#<alt (* -1/2 y)>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(* y 1/2)
1.0ms	y	@	0	(- (* x (- y 1)) (* y 1/2))
1.0ms	x	@	inf	(- (* x (- y 1)) (* y 1/2))
0.0ms	x	@	0	(- (* x (- y 1)) (* y 1/2))
0.0ms	y	@	inf	(- (* x (- y 1)) (* y 1/2))

rewrite442.0ms (5.4%)

Memory

-36.9MiB live, 611.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 498×	`accelerator-lowering-fma.f32`
7 498×	`accelerator-lowering-fma.f64`
4 788×	`-lowering-.f32`
4 788×	`-lowering-.f64`
3 354×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	64	31
2	515	31
3	7716	31
0	8245	28

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 384

Calls

Call 1

Inputs
(- (* x (- y 1)) (* y 1/2))
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(* x (- y 1))
(- y 1)
(* y 1/2)

Outputs
(+.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (fma.f64 x y (neg.f64 x)))
(+.f64 (/.f64 (.f64 x (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x x))))) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64))) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x x))))) (neg.f64 (/.f64 (.f64 y (.f64 (.f64 y y) #s(literal 1/8 binary64))) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64))) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x x)))))))
(+.f64 (/.f64 (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x x))) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(+.f64 (.f64 x y) (+.f64 (neg.f64 x) (.f64 y #s(literal -1/2 binary64))))
(+.f64 (.f64 x y) (-.f64 (neg.f64 x) (.f64 y #s(literal 1/2 binary64))))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 x y)) (neg.f64 x))
(-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (fma.f64 x y (neg.f64 x))))
(-.f64 (/.f64 (.f64 x (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x x))))) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64))) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x x))))) (/.f64 (.f64 y (.f64 (.f64 y y) #s(literal 1/8 binary64))) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64))) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x x))))))
(-.f64 (/.f64 (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x x))) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))))
(-.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 x y (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 x y (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 x (/.f64 (.f64 x (.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64))))))
(fma.f64 y x (+.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y x (-.f64 (neg.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 y #s(literal -1/2 binary64) (fma.f64 x y (neg.f64 x)))
(fma.f64 y (.f64 #s(literal 1 binary64) x) (+.f64 (neg.f64 x) (.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (.f64 #s(literal 1 binary64) x) (-.f64 (neg.f64 x) (.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) (fma.f64 x y (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (+.f64 (neg.f64 x) (.f64 y #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (-.f64 (neg.f64 x) (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x x)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64))))))
(fma.f64 (fma.f64 x y (neg.f64 x)) (/.f64 (fma.f64 x y (neg.f64 x)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal 1/2 binary64))))))
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simplify365.0ms (4.5%)

Memory

-8.9MiB live, 448.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 900×	`accelerator-lowering-fma.f32`
11 900×	`accelerator-lowering-fma.f64`
3 162×	`-lowering-.f32`
3 162×	`-lowering-.f64`
1 298×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	593
1	232	592
2	695	520
3	1796	520
4	6373	520
0	8167	501

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* -1/2 y)
(- (* x (- y 1)) (* 1/2 y))
(- (* x (- y 1)) (* 1/2 y))
(- (* x (- y 1)) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 x)
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* y (- x 1/2)))
(* y (- x 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)

Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(- (* x (- y 1)) (* 1/2 y))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(- (* x (- y 1)) (* 1/2 y))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(- (* x (- y 1)) (* 1/2 y))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (* -1/2 (/ y x))) 1))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* y (- x 1/2)))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(+ (* -1 x) (* y (- x 1/2)))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(+ (* -1 x) (* y (- x 1/2)))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* y (- x 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(- 918938533204673/1000000000000000 (* 1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- x 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* x (- y 1))
(-.f64 (*.f64 y x) x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* x y))
(-.f64 (*.f64 y x) x)
(+ (* -1 x) (* x y))
(-.f64 (*.f64 y x) x)
(+ (* -1 x) (* x y))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 y x) x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 y x) x)
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))

eval59.0ms (0.7%)

Memory: 26.4MiB live, 136.5MiB allocated
Compiler: Compiled 15 526 to 1 358 computations (91.3% saved)

prune62.0ms (0.8%)

Memory

-16.5MiB live, 135.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	474	6	480
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	475	6	481

Accuracy

100.0%

Counts

481 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
▶	50.1%	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
▶	51.3%	(-.f64 (*.f64 y x) x)
	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
▶	48.4%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
▶	52.1%	(*.f64 y (+.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 92 to 66 computations (28.3% saved)

simplify67.0ms (0.8%)

Memory

23.5MiB live, 103.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(-.f64 (*.f64 y x) x)
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓	cost-diff	0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	cost-diff	0	(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	192	(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))

Rules

1 376×	`accelerator-lowering-fma.f32`
1 376×	`accelerator-lowering-fma.f64`
352×	`+-lowering-+.f64`
352×	`--lowering--.f32`
352×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	58
1	32	58
2	48	56
3	104	56
4	215	56
5	385	56
6	707	56
7	1033	56
8	1243	56
9	1303	56
10	1319	56
0	1319	53

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))
(+ y -1)
y
-1
x
(+ (* y -1/2) 918938533204673/1000000000000000)
-1/2
918938533204673/1000000000000000
(- 918938533204673/1000000000000000 x)
918938533204673/1000000000000000
x
(+ (* -1/2 y) 918938533204673/1000000000000000)
-1/2
y
918938533204673/1000000000000000
(* y (+ -1/2 x))
y
(+ -1/2 x)
-1/2
x
(- (* y x) x)
(* y x)
y
x

Outputs
(+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
x
(+ (* y -1/2) 918938533204673/1000000000000000)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
-1/2
#s(literal -1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
x
(+ (* -1/2 y) 918938533204673/1000000000000000)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
-1/2
#s(literal -1/2 binary64)
y
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(* y (+ -1/2 x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
y
(+ -1/2 x)
(+.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
x
(- (* y x) x)
(-.f64 (*.f64 y x) x)
(* y x)
(*.f64 y x)
y
x

localize57.0ms (0.7%)

Memory

-1.0MiB live, 120.3MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(-.f64 (*.f64 y x) x)
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	accuracy	100.0%	(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))

Samples

35.0ms

256×

valid

Compiler

Compiled 56 to 19 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-add: 9.0ms (38% of total)

ival-mult: 7.0ms (29.6% of total)

const: 4.0ms (16.9% of total)

ival-sub: 2.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-21.2MiB live, 17.1MiB allocated

Counts

9 → 156

Calls

Call 1

Inputs
#<alt (+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))>
#<alt (+ y -1)>
#<alt (+ (* y -1/2) 918938533204673/1000000000000000)>
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (+ (* -1/2 y) 918938533204673/1000000000000000)>
#<alt (* y (+ -1/2 x))>
#<alt (+ -1/2 x)>
#<alt (- (* y x) x)>
#<alt (* y x)>

Outputs
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))>
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))>
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt -1/2>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(- (* y x) x)
1.0ms	x	@	0	(- (* y x) x)
0.0ms	y	@	0	(* y (+ -1/2 x))
0.0ms	x	@	-inf	(* y (+ -1/2 x))
0.0ms	y	@	inf	(* y (+ -1/2 x))

rewrite493.0ms (6.1%)

Memory

19.7MiB live, 624.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 626×	`accelerator-lowering-fma.f32`
8 626×	`accelerator-lowering-fma.f64`
4 334×	`-lowering-.f32`
4 334×	`-lowering-.f64`
3 668×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	117	43
2	843	41
0	8635	39

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 547

Calls

Call 1

Inputs
(+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))
(+ y -1)
(+ (* y -1/2) 918938533204673/1000000000000000)
(- 918938533204673/1000000000000000 x)
(+ (* -1/2 y) 918938533204673/1000000000000000)
(* y (+ -1/2 x))
(+ -1/2 x)
(- (* y x) x)
(* y x)

Outputs
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (fma.f64 y x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 y x) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (*.f64 y x) x))
(+.f64 (*.f64 y x) (+.f64 (neg.f64 x) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(+.f64 (*.f64 y x) (fma.f64 x #s(literal -1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(+.f64 (neg.f64 x) (fma.f64 y x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(+.f64 (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (/.f64 (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 y x) x))) (fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (neg.f64 (/.f64 (.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))))
(+.f64 (*.f64 x #s(literal -1 binary64)) (fma.f64 y x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(+.f64 (fma.f64 y x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 y x) x)) (.f64 y #s(literal -1/2 binary64)))
(+.f64 (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 y x)) (neg.f64 x))
(+.f64 (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 y x)) (.f64 x #s(literal -1 binary64)))
(+.f64 (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (neg.f64 x)) (*.f64 y x))
(+.f64 (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 x #s(literal -1 binary64))) (.f64 y x))
(-.f64 (*.f64 y x) (-.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (-.f64 (*.f64 y x) x)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x)))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (fma.f64 y x x)) (-.f64 (/.f64 (.f64 x x) (fma.f64 y x x)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(-.f64 (/.f64 (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 y x) x))) (fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (/.f64 (.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (.f64 y x) x))) (/.f64 (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 y x) x))) (-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (.f64 y x) x))))
(-.f64 (/.f64 (.f64 (-.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) x) (-.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) x)) (+.f64 (-.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) x) #s(literal -918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) #s(literal -918938533204673/1000000000000000 binary64))))
(-.f64 (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 y x)) x)
(-.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) x (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(-.f64 (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))))) (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))))
(-.f64 (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (/.f64 (.f64 y (.f64 y (.f64 x x))) (fma.f64 y x x))) (/.f64 (.f64 x x) (fma.f64 y x x)))
(fma.f64 y x (+.f64 (neg.f64 x) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 y x (fma.f64 x #s(literal -1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 y #s(literal -1/2 binary64) (fma.f64 y x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(fma.f64 y #s(literal -1/2 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y x) x)))
(fma.f64 #s(literal -1 binary64) x (fma.f64 y x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 x y (+.f64 (neg.f64 x) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 x y (fma.f64 x #s(literal -1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 x #s(literal -1 binary64) (fma.f64 y x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 y x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) y (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y x) x)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y y)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) (.f64 #s(literal 1/4 binary64) (.f64 y y))))) (-.f64 (*.f64 y x) x))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 y (.f64 y y)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y (-.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal -918938533204673/2000000000000000 binary64))))) (-.f64 (*.f64 y x) x))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (*.f64 y x) x))
(fma.f64 (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 y x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (neg.f64 (/.f64 (.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))))
(fma.f64 (.f64 (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))) (-.f64 (.f64 y x) x)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x)))) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (.f64 (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))) (-.f64 (.f64 y x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (neg.f64 (.f64 y (.f64 x x))))) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (.f64 y x) x))
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(fma.f64 (/.f64 (.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 x x) x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x x))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 y (.f64 x x)) x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x x))))
(fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 y (.f64 y x)) x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x x))))
(fma.f64 (/.f64 (.f64 y x) (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 y x) x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x x))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 y y) x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x x))))
(fma.f64 (/.f64 (.f64 y (.f64 x x)) (+.f64 y #s(literal 1 binary64))) (/.f64 y x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x x))))
(fma.f64 (/.f64 (.f64 y (.f64 y x)) (+.f64 y #s(literal 1 binary64))) (/.f64 x x) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x x))))
(neg.f64 (neg.f64 (-.f64 (*.f64 y x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (neg.f64 (.f64 y (.f64 x x)))) (.f64 (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))) (-.f64 (.f64 y x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)) (.f64 x (fma.f64 y (.f64 y y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)) (.f64 (fma.f64 y (.f64 y y) #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)))
(/.f64 (.f64 (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))) (-.f64 (.f64 y x) x)) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))))
(/.f64 (.f64 (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))) (-.f64 (.f64 y x) x)) (-.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (neg.f64 (.f64 y (.f64 x x)))))
(/.f64 (.f64 x (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 y x x))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))) (-.f64 (.f64 y x) x))) (neg.f64 (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x)))))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))) (-.f64 (.f64 y x) x))) (neg.f64 (-.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (neg.f64 (.f64 y (.f64 x x))))))
(/.f64 (neg.f64 (.f64 x (.f64 x (fma.f64 y y #s(literal -1 binary64))))) (neg.f64 (fma.f64 y x x)))
(/.f64 (.f64 x (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal -1 binary64)) x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x)))) (.f64 (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))) (.f64 x (.f64 x x)))) (.f64 (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x)))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) (fma.f64 y x x)) (.f64 (fma.f64 y x x) (.f64 x x))) (*.f64 (fma.f64 y x x) (fma.f64 y x x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))) (-.f64 (.f64 y x) x)))) (neg.f64 (neg.f64 (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x (fma.f64 y y #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (fma.f64 y x x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 y (.f64 y y) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y y) #s(literal -1 binary64)) x)) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (+.f64 (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))) (pow.f64 (.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 y (.f64 y (.f64 x x)) (-.f64 (.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64))) (.f64 (.f64 y x) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (fma.f64 (.f64 x x) (neg.f64 x) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (fma.f64 x x (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (neg.f64 x) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (fma.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64)) (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 x #s(literal -1 binary64)) (.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x)))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x)))) (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x)))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x)))) (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (fma.f64 y x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 y x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (fma.f64 y x x)) (/.f64 (.f64 y (.f64 y (.f64 x x))) (fma.f64 y x x)) (fma.f64 (/.f64 (.f64 x x) (fma.f64 y x x)) (/.f64 (.f64 x x) (fma.f64 y x x)) (.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (fma.f64 y x x)) (/.f64 (*.f64 x x) (fma.f64 y x x))))))
(/.f64 (-.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64)))) (-.f64 (.f64 y x) (.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (neg.f64 x) (*.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64))) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (.f64 x #s(literal -1 binary64)) (.f64 y x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x)))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x)))) (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x)))))) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x)))) (/.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (fma.f64 y x x)) (/.f64 (.f64 y (.f64 y (.f64 x x))) (fma.f64 y x x))) (.f64 (/.f64 (.f64 x x) (fma.f64 y x x)) (/.f64 (.f64 x x) (fma.f64 y x x)))) (+.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (fma.f64 y x x)) (/.f64 (.f64 x x) (fma.f64 y x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)) #s(literal -1 binary64))
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) x))
(.f64 (.f64 (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))) (-.f64 (.f64 y x) x)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))))
(.f64 (.f64 (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))) (-.f64 (.f64 y x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (neg.f64 (.f64 y (*.f64 x x))))))
(.f64 (.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(.f64 (neg.f64 (.f64 (.f64 x (fma.f64 y (.f64 y x) (fma.f64 y x x))) (-.f64 (.f64 y x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x))))))
(.f64 (neg.f64 (.f64 x (*.f64 x (fma.f64 y y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x x))))
(.f64 (.f64 x (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))))
(.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))))
(.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 (.f64 y x) x) x))
(*.f64 y x)
(*.f64 x y)

simplify352.0ms (4.3%)

Memory

6.5MiB live, 368.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 842×	`accelerator-lowering-fma.f32`
8 842×	`accelerator-lowering-fma.f64`
2 732×	`-lowering-.f32`
2 732×	`-lowering-.f64`
1 186×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	713
1	275	685
2	822	685
3	2260	685
4	5868	685
0	8178	648

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(* x (- y 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(* -1/2 y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* -1/2 y)
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(* -1 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(* -1/2 y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* -1/2 y)
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(* x y)
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
-1/2
(- x 1/2)
(- x 1/2)
(- x 1/2)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
y
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(+ (* -1/2 y) (* x y))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 x y)
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x (+ y (* -1/2 (/ y x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval188.0ms (2.3%)

Memory: -20.4MiB live, 131.0MiB allocated
Compiler: Compiled 16 766 to 1 515 computations (91% saved)

prune112.0ms (1.4%)

Memory

9.6MiB live, 134.1MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	697	6	703
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	700	9	709

Accuracy

100.0%

Counts

709 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
	51.4%	(fma.f64 y x (neg.f64 x))
✓	50.1%	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓	48.4%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	52.1%	(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
▶	29.8%	(*.f64 y x)
▶	25.0%	(*.f64 y #s(literal -1/2 binary64))
▶	22.6%	(neg.f64 x)
▶	27.2%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 82 to 58 computations (29.3% saved)

simplify5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	192	(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))

Rules

32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`
24×	`accelerator-lowering-fma.f32`
24×	`accelerator-lowering-fma.f64`
16×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	17	25
2	22	25
3	24	25
4	26	25
5	30	25
6	45	25
7	58	25
8	62	25
0	62	25

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* y x) (* y -1/2))
y
x
(* y -1/2)
-1/2
918938533204673/1000000000000000
(neg x)
x
(* y -1/2)
y
-1/2
(* y x)
y
x

Outputs
(+ (* y x) (* y -1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
y
x
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(neg x)
(neg.f64 x)
x
(* y -1/2)
(*.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
(* y x)
(*.f64 y x)
y
x

localize34.0ms (0.4%)

Memory

-24.6MiB live, 52.7MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))

Samples

20.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

const: 5.0ms (46.4% of total)

ival-mult: 3.0ms (27.8% of total)

ival-add: 1.0ms (9.3% of total)

ival-neg: 1.0ms (9.3% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (+ (* y x) (* y -1/2))>
#<alt (* y -1/2)>
#<alt (neg x)>
#<alt (* y x)>

Outputs
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(+ (* y x) (* y -1/2))
0.0ms	y	@	0	(+ (* y x) (* y -1/2))
0.0ms	x	@	-inf	(+ (* y x) (* y -1/2))
0.0ms	y	@	-inf	(+ (* y x) (* y -1/2))
0.0ms	x	@	inf	(+ (* y x) (* y -1/2))

rewrite526.0ms (6.5%)

Memory

-1.0MiB live, 405.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 140×	`accelerator-lowering-fma.f32`
10 140×	`accelerator-lowering-fma.f64`
4 392×	`/-lowering-/.f32`
4 392×	`/-lowering-/.f64`
3 944×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	29	13
2	208	13
3	2103	13
0	8138	13

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 225

Calls

Call 1

Inputs
(+ (* y x) (* y -1/2))
(* y -1/2)
(neg x)
(* y x)

Outputs
(+.f64 (.f64 y x) (.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y x))
(+.f64 (/.f64 (.f64 x (.f64 y (.f64 y x))) (.f64 y (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal 1/2 binary64))))))
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(.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 x (.f64 x x) #s(literal -1/8 binary64))) (fma.f64 (.f64 y x) (.f64 (.f64 y (.f64 x (.f64 x (.f64 y (.f64 y x))))) (.f64 x (.f64 y (.f64 y x)))) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 (.f64 y (-.f64 #s(literal -1/2 binary64) x)) (.f64 (.f64 y (-.f64 #s(literal -1/2 binary64) x)) (.f64 y (-.f64 #s(literal -1/2 binary64) x))))))) (fma.f64 (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal -1/2 binary64) x)) (-.f64 (.f64 (.f64 y (.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal -1/2 binary64) x)) (.f64 x (.f64 y (.f64 y x)))) (.f64 (.f64 y x) (.f64 y (.f64 x (.f64 x (.f64 y (.f64 y x))))))))
(.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 x (.f64 x x) #s(literal -1/8 binary64))) (.f64 (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 (.f64 y x) (.f64 y (+.f64 x #s(literal 1/2 binary64))))) (fma.f64 (.f64 y y) (fma.f64 x x #s(literal -1/4 binary64)) (.f64 y (.f64 x (.f64 y #s(literal -1/2 binary64))))))) (fma.f64 (.f64 y y) (fma.f64 x x #s(literal -1/4 binary64)) (.f64 y (.f64 x (.f64 y #s(literal -1/2 binary64))))))
(.f64 (/.f64 (.f64 (.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))) (fma.f64 (.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)) (.f64 y (.f64 x (.f64 y #s(literal -1/2 binary64))))))
(.f64 (pow.f64 (/.f64 y (.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1/2 binary64)) (*.f64 y (+.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 (.f64 y x) (.f64 y (+.f64 x #s(literal 1/2 binary64))))) (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1/512 binary64) (.f64 (.f64 (.f64 y (.f64 x (.f64 x (.f64 y (.f64 y x))))) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 x (.f64 x (.f64 y (.f64 y x))))) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 y (.f64 x (.f64 x (.f64 y (.f64 y x)))))) (.f64 (.f64 y x) (.f64 (.f64 y (.f64 x (.f64 x (.f64 y (.f64 y x))))) (.f64 x (.f64 y (.f64 y x))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (.f64 (.f64 y x) (.f64 y (+.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 x (.f64 x x) #s(literal -1/8 binary64))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)))))
(.f64 (pow.f64 (/.f64 (.f64 y (+.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 x (.f64 x x) #s(literal -1/8 binary64))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 x (.f64 y (.f64 y x)))) (.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)))))))
(.f64 (pow.f64 (/.f64 (.f64 y (+.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 y y) (fma.f64 x x #s(literal 1/4 binary64))) (.f64 (.f64 y y) (fma.f64 x x #s(literal -1/4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) (fma.f64 x x #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -1/2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -1/2 binary64))) (exp.f64 (log.f64 y)))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (neg.f64 x))))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))) (neg.f64 (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x x)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 x) (.f64 x x) #s(literal 0 binary64)) (fma.f64 x x (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 #s(literal 0 binary64) (.f64 x x)) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (fma.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 0 binary64) x) (fma.f64 x x (*.f64 (/.f64 #s(literal 0 binary64) x) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(.f64 (pow.f64 y #s(literal 1 binary64)) (/.f64 (.f64 x (.f64 x x)) (.f64 x x)))
(.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x x)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))

simplify345.0ms (4.2%)

Memory

14.9MiB live, 174.1MiB allocated

Algorithm

1×	egg-herbie

Rules

3 344×	`accelerator-lowering-fma.f32`
3 344×	`accelerator-lowering-fma.f64`
2 256×	`-lowering-.f32`
2 256×	`-lowering-.f64`
1 200×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	246
1	68	246
2	177	246
3	343	246
4	647	246
5	2252	246
6	3490	246
7	4066	246
8	4340	246
9	4371	246
10	4373	246
11	5226	246
12	6338	246
13	6762	246
14	7038	246
15	7088	246
16	7088	246
17	7660	246
18	7822	246
19	7978	246
0	8006	246

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval116.0ms (1.4%)

Memory: -11.3MiB live, 63.5MiB allocated
Compiler: Compiled 8 330 to 655 computations (92.1% saved)

prune64.0ms (0.8%)

Memory

21.8MiB live, 60.4MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	318	0	318
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	318	9	327

Accuracy

100.0%

Counts

327 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.2%	(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
▶	51.4%	(fma.f64 y x (neg.f64 x))
✓	50.1%	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓	48.4%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	52.1%	(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓	29.8%	(*.f64 y x)
✓	25.0%	(*.f64 y #s(literal -1/2 binary64))
✓	22.6%	(neg.f64 x)
✓	27.2%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 50 to 36 computations (28% saved)

simplify37.0ms (0.5%)

Memory

-34.7MiB live, 15.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(fma.f64 y x (neg.f64 x))

Rules

176×	`accelerator-lowering-fma.f32`
176×	`accelerator-lowering-fma.f64`
112×	`-lowering-.f32`
112×	`-lowering-.f64`
56×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	12	9
2	22	9
3	36	9
4	58	9
5	124	9
6	222	9
7	270	9
8	275	9
0	275	9

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* y x) (neg x))
y
x
(neg x)

Outputs
(+ (* y x) (neg x))
(-.f64 (*.f64 y x) x)
y
x
(neg x)
(neg.f64 x)

localize15.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y x (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)

Samples

10.0ms

256×

valid

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

ival-mult: 2.0ms (46% of total)

ival-add: 1.0ms (23% of total)

ival-neg: 1.0ms (23% of total)

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

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

series1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (+ (* y x) (neg x))>
#<alt (neg x)>

Outputs
#<alt (* -1 x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

9 calls:

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

rewrite368.0ms (4.5%)

Memory

-3.7MiB live, 313.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 418×	`accelerator-lowering-fma.f32`
5 418×	`accelerator-lowering-fma.f64`
3 042×	`-lowering-.f32`
3 042×	`-lowering-.f64`
2 650×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	25	7
2	203	7
3	2210	6
0	10283	5

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 301

Calls

Call 1

Inputs
(+ (* y x) (neg x))
(neg x)

Outputs
(+.f64 x (*.f64 y x))
(+.f64 (*.f64 y x) x)
(+.f64 #s(literal 0 binary64) (fma.f64 y x x))
(+.f64 (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x))) #s(literal -1 binary64)))
(-.f64 x (*.f64 y x))
(-.f64 (*.f64 y x) x)
(-.f64 #s(literal 0 binary64) (fma.f64 y x x))
(-.f64 (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y x x)) (fma.f64 y x x))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (fma.f64 y x x))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 y (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 y (.f64 x x))))) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)))) (fma.f64 y x x)) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)))) (fma.f64 y x x)))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x))))) (.f64 x (fma.f64 y (.f64 y x) x))) (fma.f64 y x x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (fma.f64 y (.f64 y x) x))) (fma.f64 y x x)))
(-.f64 (/.f64 (.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 y (.f64 x x))))) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 y (.f64 x x))))) (.f64 (fma.f64 y x x) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 y x x) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))))))
(-.f64 (/.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x))))) (.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (fma.f64 y x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (fma.f64 y x x))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) (fma.f64 y x x)) (.f64 x (fma.f64 y (.f64 y x) x))) (/.f64 (.f64 (fma.f64 y x x) (.f64 x x)) (.f64 x (fma.f64 y (.f64 y x) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y (.f64 y x) x) (.f64 #s(literal 0 binary64) (fma.f64 y x x))))) (/.f64 (.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (fma.f64 y x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y (.f64 y x) x) (*.f64 #s(literal 0 binary64) (fma.f64 y x x))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))))) (fma.f64 (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64))))))) (/.f64 (.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))) (fma.f64 (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (fma.f64 y x x)) (/.f64 (.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) (fma.f64 y x x)))
(fma.f64 y x x)
(fma.f64 y (/.f64 (.f64 y (.f64 x x)) (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 x y x)
(fma.f64 x #s(literal -1 binary64) (*.f64 y x))
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 x (*.f64 y #s(literal -1 binary64)) x)
(fma.f64 x (neg.f64 y) x)
(fma.f64 x (/.f64 (.f64 y (.f64 y x)) (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 x (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 x (exp.f64 (log.f64 y)) x)
(fma.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) x)
(fma.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 y x))
(fma.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 y x))
(fma.f64 (.f64 y (.f64 y (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x) (.f64 y x))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (.f64 y x))
(fma.f64 (.f64 y (.f64 x x)) (/.f64 y (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) x (*.f64 y 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 y) (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (.f64 y (.f64 y x)) (/.f64 x (fma.f64 y x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 x x) (/.f64 (.f64 y (.f64 y x)) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 y x) (/.f64 (.f64 y (.f64 x x)) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 y x) x) (/.f64 (.f64 y x) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 x x) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 y (.f64 y x)) x) (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x x)
(fma.f64 (neg.f64 y) x x)
(fma.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (fma.f64 y (*.f64 y x) x))) (fma.f64 y x x) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) x x)
(fma.f64 (exp.f64 (log.f64 y)) x x)
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x (*.f64 y x))
(neg.f64 (fma.f64 y x x))
(/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)))
(/.f64 (*.f64 x (fma.f64 y x x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) #s(literal 1 binary64))))
(/.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (fma.f64 y x x))
(/.f64 (fma.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 y (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))
(/.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) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))) (.f64 (fma.f64 y x x) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x)))))
(/.f64 (.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (.f64 x (fma.f64 y (.f64 y x) x))) (.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (fma.f64 y x x)))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) (fma.f64 y x x)) (.f64 (fma.f64 y x x) (.f64 x x))) (.f64 x (fma.f64 y (.f64 y x) x)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 y (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))))) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (fma.f64 y x x)))
(/.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (.f64 x (fma.f64 y (.f64 y x) x))) #s(literal 1 binary64)) (.f64 (.f64 x (fma.f64 y (*.f64 y x) x)) (fma.f64 y x x)))
(/.f64 (neg.f64 (.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (.f64 x (fma.f64 y (.f64 y x) x)))) (.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (fma.f64 y x x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 y (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (neg.f64 (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))))) (neg.f64 (.f64 (fma.f64 y x x) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))))) (neg.f64 (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (fma.f64 y x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y (.f64 y x) x) (*.f64 #s(literal 0 binary64) (fma.f64 y x x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))))) (.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))))) (fma.f64 (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 (.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))) (fma.f64 y x x))
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(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) (neg.f64 (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (.f64 x (fma.f64 y (.f64 y x) x))) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))) (.f64 x (fma.f64 y (.f64 y x) x)))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (fma.f64 y x x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (.f64 #s(literal 0 binary64) (fma.f64 y x x)))))
(/.f64 (fma.f64 (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))))) (fma.f64 (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (.f64 (.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (-.f64 (.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64)))) (.f64 (.f64 (*.f64 y x) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (/.f64 x (+.f64 y #s(literal 1 binary64)))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal -1 binary64) y))
(*.f64 x (neg.f64 (+.f64 y #s(literal 1 binary64))))
(.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (.f64 (fma.f64 y x x) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)))))
(.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (/.f64 (fma.f64 y x x) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x))))
(*.f64 #s(literal -1 binary64) (fma.f64 y x x))
(.f64 (.f64 x (fma.f64 y (*.f64 y x) x)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))
(.f64 (fma.f64 y x x) (.f64 (fma.f64 y x x) (/.f64 #s(literal -1 binary64) (fma.f64 y x x))))
(*.f64 (fma.f64 y x x) (/.f64 (fma.f64 y x x) (fma.f64 y x x)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) (.f64 x (fma.f64 y (*.f64 y x) x)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 y (*.f64 y x) x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
(*.f64 (+.f64 y #s(literal 1 binary64)) x)
(*.f64 (/.f64 (fma.f64 y x x) x) (/.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 y x x) x) (/.f64 (fma.f64 y x x) (+.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 y x x) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))) (/.f64 (fma.f64 y x x) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x)))))
(.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (.f64 x (fma.f64 y (*.f64 y x) x))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x)))
(.f64 (/.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (.f64 x (fma.f64 y (*.f64 y x) x))) (fma.f64 y x x))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (fma.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (fma.f64 y x x))))) (fma.f64 (.f64 x (fma.f64 y x x)) (-.f64 (.f64 x (fma.f64 y x x)) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (*.f64 x x)))))))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)))) (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)))
(.f64 (/.f64 (.f64 x (fma.f64 y (*.f64 y x) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 y x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 y (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) (.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 y x x) (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 y (.f64 y y) #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y x) (fma.f64 y x x) (.f64 x x)) (fma.f64 (.f64 y x) (fma.f64 y x x) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (fma.f64 y x x) (.f64 (.f64 x (fma.f64 y (.f64 y x) x)) (.f64 x (fma.f64 y (.f64 y x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 y (.f64 y x) x))))
x
(+.f64 x #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) x)
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))) x)
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x #s(literal 0 binary64))
(neg.f64 x)
(/.f64 (.f64 x (.f64 x x)) (*.f64 x x))
(/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (.f64 x (.f64 x x)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (*.f64 x x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) #s(literal 0 binary64)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x)))
(/.f64 (fma.f64 x (.f64 x x) #s(literal 0 binary64)) (.f64 x x))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 x x)) #s(literal -1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))))
(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (.f64 x (.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)))
(.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 x x) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) x)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x)

simplify416.0ms (5.1%)

Memory

3.3MiB live, 239.8MiB allocated

Algorithm

1×	egg-herbie

Rules

3 552×	`accelerator-lowering-fma.f32`
3 552×	`accelerator-lowering-fma.f64`
2 016×	`-lowering-.f32`
2 016×	`-lowering-.f64`
1 472×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	137
1	64	137
2	149	137
3	276	137
4	599	137
5	1806	137
6	3066	137
7	3528	137
8	3809	137
9	3979	137
10	4013	137
11	4545	137
12	5815	137
13	6637	137
14	6968	137
15	7046	137
16	7046	137
17	7538	137
0	8070	137

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

Outputs
(* -1 x)
(neg.f64 x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(- (* x y) x)
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* y (+ x (* -1 (/ x y))))
(-.f64 (*.f64 x y) x)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* -1 (* y (+ (* -1 x) (/ x y))))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* x (- y 1))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 (* x (+ 1 (* -1 y))))
(-.f64 (*.f64 x y) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval64.0ms (0.8%)

Memory: 30.7MiB live, 68.8MiB allocated
Compiler: Compiled 9 397 to 808 computations (91.4% saved)

prune129.0ms (1.6%)

Memory

-23.9MiB live, 100.3MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	337	0	337
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	337	9	346

Accuracy

100.0%

Counts

346 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.2%	(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓	51.4%	(fma.f64 y x (neg.f64 x))
✓	50.1%	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓	48.4%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	52.1%	(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓	29.8%	(*.f64 y x)
✓	25.0%	(*.f64 y #s(literal -1/2 binary64))
✓	22.6%	(neg.f64 x)
✓	27.2%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 117 to 64 computations (45.3% saved)

regimes30.0ms (0.4%)

Memory

3.4MiB live, 42.5MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
(fma.f64 y x (neg.f64 x))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Outputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))

Calls

4 calls:

16.0ms	y
4.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
4.0ms	x
4.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
100.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes28.0ms (0.3%)

Memory

-4.8MiB live, 37.3MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
(fma.f64 y x (neg.f64 x))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))

Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))

Calls

4 calls:

16.0ms	y
4.0ms	x
4.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
4.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
100.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes28.0ms (0.3%)

Memory

-2.8MiB live, 36.4MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)
(fma.f64 y x (neg.f64 x))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))

Outputs
(fma.f64 y x (neg.f64 x))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 y x) x)

Calls

4 calls:

16.0ms	y
4.0ms	x
4.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
4.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
97.9%	3	`x`
97.3%	3	`y`
78.8%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
78.8%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes4.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 y x) x)

Outputs
(-.f64 (*.f64 y x) x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 y x) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))

Outputs
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
97.3%	3	`y`
79.8%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes47.0ms (0.6%)

Memory

-25.7MiB live, 13.3MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))

Outputs
(*.f64 y x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)

Calls

2 calls:

44.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
79.1%	3	`x`
76.9%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

5 → 4

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)

Outputs
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y x)
(*.f64 y #s(literal -1/2 binary64))

Calls

4 calls:

3.0ms	y
2.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
2.0ms	x
2.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
76.9%	4	`y`
66.8%	4	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
66.8%	4	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
58.9%	3	`x`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes35.0ms (0.4%)

Memory

-29.4MiB live, 8.3MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))

Outputs
(*.f64 y #s(literal -1/2 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))

Calls

1 calls:

34.0ms

Results

Accuracy	Segments	Branch
70.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)

Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)

Calls

4 calls:

2.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
2.0ms	y
2.0ms	x
2.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
48.4%	1	`x`
48.4%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
48.4%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
48.4%	1	`y`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes23.0ms (0.3%)

Memory

-25.4MiB live, 17.0MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)

Outputs
(neg.f64 x)
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)

Calls

4 calls:

18.0ms	y
2.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
2.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
2.0ms	x

Results

Accuracy	Segments	Branch
31.2%	3	`y`
47.1%	3	`x`
47.0%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
47.0%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes6.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
#s(literal 918938533204673/1000000000000000 binary64)

Calls

4 calls:

1.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
1.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
27.2%	1	`y`
27.2%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
27.2%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
27.2%	1	`x`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch100.0ms (1.2%)

Memory

-14.7MiB live, 64.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.005957231753193071	26.53398243176098
63.0ms	-66085431.032532856	-0.0016981529829959055

Samples

66.0ms

288×

valid

Compiler

Compiled 286 to 213 computations (25.5% saved)

Precisions

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

ival-sub: 50.0ms (84.5% of total)

const: 4.0ms (6.8% of total)

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

ival-add: 1.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch41.0ms (0.5%)

Memory

22.9MiB live, 62.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.005957231753193071	26.53398243176098
16.0ms	-66085431.032532856	-0.0016981529829959055

Samples

28.0ms

288×

valid

Compiler

Compiled 286 to 213 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-add: 11.0ms (50.5% of total)

const: 4.0ms (18.3% of total)

ival-sub: 3.0ms (13.8% of total)

ival-mult: 3.0ms (13.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.4%)

Memory

-17.1MiB live, 63.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0008536882681989032	1612716197.7575293
13.0ms	-7.659589215807124	-0.11230241036465571

Samples

19.0ms

272×

valid

Compiler

Compiled 254 to 202 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

const: 5.0ms (39.8% of total)

ival-mult: 3.0ms (23.9% of total)

ival-sub: 2.0ms (15.9% of total)

ival-add: 1.0ms (8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch48.0ms (0.6%)

Memory

19.3MiB live, 57.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.849917657661198e-15	9.857512906303084e-15
35.0ms	-66085431.032532856	-0.0016981529829959055

Samples

17.0ms

256×

valid

Compiler

Compiled 224 to 181 computations (19.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

const: 4.0ms (35.4% of total)

ival-mult: 3.0ms (26.6% of total)

ival-sub: 2.0ms (17.7% of total)

ival-add: 1.0ms (8.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch95.0ms (1.2%)

Memory

-14.3MiB live, 108.5MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	4.71098203642888e+113	3.6465549959280095e+122
29.0ms	0.0008536882681989032	1612716197.7575293
42.0ms	-215.28865581148878	-9.376667066732326

Samples

77.0ms

416×

valid

Compiler

Compiled 328 to 249 computations (24.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 35.0ms (56.3% of total)

const: 20.0ms (32.2% of total)

ival-sub: 4.0ms (6.4% of total)

ival-add: 2.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch51.0ms (0.6%)

Memory

-13.0MiB live, 65.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0008536882681989032	1612716197.7575293
23.0ms	-9190.012169255193	-215.28865581148878

Samples

30.0ms

272×

valid

Compiler

Compiled 220 to 185 computations (15.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

const: 4.0ms (34.6% of total)

ival-mult: 3.0ms (26% of total)

ival-sub: 2.0ms (17.3% of total)

ival-add: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch40.0ms (0.5%)

Memory

33.1MiB live, 74.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.005957231753193071	26.53398243176098
16.0ms	-1.1604088236827899e+38	-1.1159093708493821e+24

Samples

27.0ms

288×

valid

Compiler

Compiled 178 to 159 computations (10.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 12.0ms (56.9% of total)

const: 4.0ms (19% of total)

ival-sub: 3.0ms (14.2% of total)

ival-add: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify43.0ms (0.5%)

Memory

-10.4MiB live, 28.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`*-commutative_binary64`
8×	`if-if-or-not_binary32`
4×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	147
1	91	147
2	99	147
3	102	147
4	103	147

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) (fma.f64 y x (neg.f64 x)) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -5944751508129055/9007199254740992 binary64)) (-.f64 (.f64 y x) x) (if (<=.f64 x #s(literal 5584463537939415/9007199254740992 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (.f64 y x) x)))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 3715469692580659/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 x #s(literal -75 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 6084722881095501/633825300114114700748351602688 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(if (<=.f64 y #s(literal -172 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 152000000000000002365031251678960139688766612332001337872205128225486734737042866896277779267087212046783354691911680 binary64)) (.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -245 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y #s(literal -1/2 binary64))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(if (<=.f64 x #s(literal -1120000000000000067108864 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) (fma.f64 y x (neg.f64 x)) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -5944751508129055/9007199254740992 binary64)) (-.f64 (.f64 y x) x) (if (<=.f64 x #s(literal 5584463537939415/9007199254740992 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (.f64 y x) x)))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (.f64 y (+.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 3715469692580659/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 3715469692580659/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -75 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 6084722881095501/633825300114114700748351602688 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(if (<=.f64 y #s(literal -172 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 152000000000000002365031251678960139688766612332001337872205128225486734737042866896277779267087212046783354691911680 binary64)) (.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -245 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y #s(literal -1/2 binary64))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(if (<=.f64 x #s(literal -1120000000000000067108864 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.5s (17.9%)

Memory

-23.2MiB live, 816.5MiB allocated

Rules

11 900×	`accelerator-lowering-fma.f32`
11 900×	`accelerator-lowering-fma.f64`
8 842×	`accelerator-lowering-fma.f32`
8 842×	`accelerator-lowering-fma.f64`
8 626×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	713
1	275	685
2	822	685
3	2260	685
4	5868	685
0	8178	648
0	17	43
1	117	43
2	843	41
0	8635	39
0	76	593
1	232	592
2	695	520
3	1796	520
4	6373	520
0	8167	501
0	10	31
1	64	31
2	515	31
3	7716	31
0	8245	28

Stop Event

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

Compiler

Compiled 320 to 185 computations (42.2% saved)

preprocess75.0ms (0.9%)

Memory: 29.9MiB live, 225.1MiB allocated
Compiler: Compiled 346 to 152 computations (56.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.1s (13.4%)

preprocess191.0ms (2.3%)

explain203.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify57.0ms (0.7%)

localize43.0ms (0.5%)

series6.0ms (0.1%)

rewrite442.0ms (5.4%)

simplify365.0ms (4.5%)

eval59.0ms (0.7%)

prune62.0ms (0.8%)

simplify67.0ms (0.8%)

localize57.0ms (0.7%)

series9.0ms (0.1%)

rewrite493.0ms (6.1%)

simplify352.0ms (4.3%)

eval188.0ms (2.3%)

prune112.0ms (1.4%)

simplify5.0ms (0.1%)

localize34.0ms (0.4%)

series1.0ms (0%)

rewrite526.0ms (6.5%)

simplify345.0ms (4.2%)

eval116.0ms (1.4%)

prune64.0ms (0.8%)

simplify37.0ms (0.5%)

localize15.0ms (0.2%)

series1.0ms (0%)

rewrite368.0ms (4.5%)

simplify416.0ms (5.1%)

eval64.0ms (0.8%)

prune129.0ms (1.6%)

regimes30.0ms (0.4%)

regimes28.0ms (0.3%)

regimes28.0ms (0.3%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes47.0ms (0.6%)

regimes10.0ms (0.1%)

regimes35.0ms (0.4%)

regimes8.0ms (0.1%)

regimes23.0ms (0.3%)

regimes6.0ms (0.1%)

bsearch100.0ms (1.2%)

bsearch41.0ms (0.5%)

bsearch33.0ms (0.4%)

bsearch48.0ms (0.6%)

bsearch95.0ms (1.2%)

bsearch51.0ms (0.6%)

bsearch40.0ms (0.5%)

simplify43.0ms (0.5%)

soundness1.5s (17.9%)

preprocess75.0ms (0.9%)

end0.0ms (0%)

Profiling