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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample1.2s (14%)

Memory

-10.7MiB live, 1 430.0MiB allocated

Samples

792.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 604.0ms

ival-sub: 239.0ms (39.6% of total)

const: 153.0ms (25.3% of total)

ival-mult: 146.0ms (24.2% of total)

ival-add: 47.0ms (7.8% of total)

exact: 8.0ms (1.3% of total)

ival-true: 6.0ms (1% of total)

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

Bogosity

preprocess201.0ms (2.4%)

Memory

-13.8MiB live, 161.6MiB 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))

explain164.0ms (2%)

Memory

31.8MiB live, 225.8MiB 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

49.0ms

512×

valid

Compiler

Compiled 102 to 44 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

const: 10.0ms (35.8% of total)

ival-sub: 8.0ms (28.6% of total)

ival-mult: 6.0ms (21.5% of total)

ival-add: 2.0ms (7.2% of total)

exact: 1.0ms (3.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Memory

-36.9MiB live, 1.9MiB 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)

simplify63.0ms (0.8%)

Memory

15.0MiB live, 132.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 y #s(literal 1 binary64))
✓	cost-diff	192	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓	cost-diff	384	(-.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)) (-.f64 #s(literal 0 binary64) x))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
x
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
1
#s(literal 1 binary64)
(* y 1/2)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)

localize34.0ms (0.4%)

Memory

0.2MiB live, 74.0MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

20.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

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

const: 5.0ms (41.4% of total)

ival-sub: 3.0ms (24.8% of total)

ival-mult: 3.0ms (24.8% of total)

ival-add: 1.0ms (8.3% 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

16.1MiB live, 16.1MiB 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 (- y 1)>
#<alt (* x (- 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 -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 (* 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 (* 1/2 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))
0.0ms	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))

rewrite422.0ms (5.1%)

Memory

-28.8MiB live, 901.6MiB 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)
(- y 1)
(* x (- y 1))
(* y 1/2)

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

simplify332.0ms (4%)

Memory

9.7MiB live, 563.2MiB 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	1795	520
4	6369	520
0	8164	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))))))
-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)))
(* 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))))
(* 1/2 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)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(- (* x (- y 1)) (* 1/2 y))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (* x (- y 1)) (* 1/2 y))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (* x (- y 1)) (* 1/2 y))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* y (- x 1/2)))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ (* -1 x) (* y (- x 1/2)))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ (* -1 x) (* y (- x 1/2)))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- x 1/2))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (* -1 x))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) 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))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* 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))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -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))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 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))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 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))
-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))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* x y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(+ (* -1 x) (* x y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(+ (* -1 x) (* x y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))

eval131.0ms (1.6%)

Memory: 28.8MiB live, 107.0MiB allocated
Compiler: Compiled 15 796 to 1 360 computations (91.4% saved)

prune57.0ms (0.7%)

Memory

-32.5MiB live, 126.4MiB 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)))
▶	49.9%	(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
▶	54.1%	(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
▶	46.7%	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
▶	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
▶	52.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)

Compiler

Compiled 96 to 72 computations (25% saved)

simplify67.0ms (0.8%)

Memory

32.3MiB live, 107.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

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	20	60
1	46	60
2	92	60
3	185	60
4	438	60
5	975	60
6	1415	60
7	1648	60
8	1706	60
9	1713	60
0	1713	57

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
918938533204673/1000000000000000
(+ (* y (- 1/2 x)) x)
y
(- 1/2 x)
1/2
x
(- 918938533204673/1000000000000000 x)
918938533204673/1000000000000000
x
(+ (* -1/2 y) 918938533204673/1000000000000000)
-1/2
y
918938533204673/1000000000000000
(+ (* x (+ y -1)) 0)
x
(+ y -1)
y
-1
0
(+ (* y (+ -1/2 x)) 0)
y
(+ -1/2 x)
-1/2
x
0

Outputs
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ (* y (- 1/2 x)) x)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
y
(- 1/2 x)
(-.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(- 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)
(+ (* x (+ y -1)) 0)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
x
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
0
#s(literal 0 binary64)
(+ (* y (+ -1/2 x)) 0)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
y
(+ -1/2 x)
(+.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
x
0
#s(literal 0 binary64)

localize62.0ms (0.7%)

Memory

-9.5MiB live, 107.7MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
✓	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%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
✓	accuracy	100.0%	(-.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)

Samples

38.0ms

256×

valid

Compiler

Compiled 61 to 22 computations (63.9% saved)

Precisions

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

ival-add: 7.0ms (31.3% of total)

ival-mult: 6.0ms (26.8% of total)

const: 5.0ms (22.4% of total)

ival-sub: 4.0ms (17.9% of total)

exact: 1.0ms (4.5% of total)

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

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

series8.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

9 → 156

Calls

Call 1

Inputs
#<alt (- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))>
#<alt (+ (* y (- 1/2 x)) x)>
#<alt (- 1/2 x)>
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (+ (* -1/2 y) 918938533204673/1000000000000000)>
#<alt (+ (* x (+ y -1)) 0)>
#<alt (+ y -1)>
#<alt (+ (* y (+ -1/2 x)) 0)>
#<alt (+ -1/2 x)>

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

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(+ (* y (+ -1/2 x)) 0)
0.0ms	y	@	-inf	(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
0.0ms	y	@	0	(+ (* y (+ -1/2 x)) 0)
0.0ms	y	@	0	(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
0.0ms	y	@	inf	(+ (* y (+ -1/2 x)) 0)

rewrite447.0ms (5.4%)

Memory

-9.4MiB live, 582.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 368×	`/-lowering-/.f32`
4 368×	`/-lowering-/.f64`
4 054×	`accelerator-lowering-fma.f32`
4 054×	`accelerator-lowering-fma.f64`
3 656×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	148	43
2	1372	43
0	8407	40

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 716

Calls

Call 1

Inputs
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
(+ (* y (- 1/2 x)) x)
(- 1/2 x)
(- 918938533204673/1000000000000000 x)
(+ (* -1/2 y) 918938533204673/1000000000000000)
(+ (* x (+ y -1)) 0)
(+ y -1)
(+ (* y (+ -1/2 x)) 0)
(+ -1/2 x)

Outputs
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))))
(+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 0 binary64) x))
(+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (/.f64 (.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (fma.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
(+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 (/.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)))))
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(+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) x)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/2 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1/4 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)) (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 x (.f64 x x) #s(literal -1/8 binary64)) (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (.f64 (-.f64 #s(literal -1/2 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -1/8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) x)) (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x))) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal -1/2 binary64) x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/2 binary64) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) x)))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) x))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) x)))

simplify366.0ms (4.4%)

Memory

2.1MiB live, 522.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 798×	`accelerator-lowering-fma.f32`
10 798×	`accelerator-lowering-fma.f64`
2 880×	`-lowering-.f32`
2 880×	`-lowering-.f64`
1 476×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	766
1	337	766
2	936	743
3	2737	743
4	6019	743
5	7914	743
0	8042	697

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

Outputs
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (- 1/2 x)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(-.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 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 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)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
x
(+ x (* y (- 1/2 x)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+ x (* y (- 1/2 x)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+ x (* y (- 1/2 x)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* y (- 1/2 x))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(* y (- (+ 1/2 (/ x y)) x))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* y (- (+ 1/2 (/ x y)) x))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* y (- (+ 1/2 (/ x y)) x))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* y (- 1/2 x))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ (* 1/2 y) (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+ (* 1/2 y) (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+ (* 1/2 y) (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* x (+ 1 (* -1 y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* -1 (* x (- y 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 x))
(-.f64 #s(literal 1/2 binary64) x)
(+ 1/2 (* -1 x))
(-.f64 #s(literal 1/2 binary64) x)
(+ 1/2 (* -1 x))
(-.f64 #s(literal 1/2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/2 (/ 1 x)) 1))
(-.f64 #s(literal 1/2 binary64) x)
(* x (- (* 1/2 (/ 1 x)) 1))
(-.f64 #s(literal 1/2 binary64) x)
(* x (- (* 1/2 (/ 1 x)) 1))
(-.f64 #s(literal 1/2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) x)
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)
(-.f64 #s(literal 0 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)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 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)
(* -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)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 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)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 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))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* x y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(+ (* -1 x) (* x y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(+ (* -1 x) (* x y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
-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))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(+ (* -1/2 y) (* x y))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+ (* -1/2 y) (* x y))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+ (* -1/2 y) (* x y))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* -1/2 (/ y x))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* x (+ y (* -1/2 (/ y x))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* x (+ y (* -1/2 (/ y x))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 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))

eval118.0ms (1.4%)

Memory: -16.2MiB live, 240.9MiB allocated
Compiler: Compiled 20 651 to 1 783 computations (91.4% saved)

prune100.0ms (1.2%)

Memory

-4.9MiB live, 272.4MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	865	7	872
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	869	9	878

Accuracy

100.0%

Counts

878 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.1%	(fma.f64 y x (-.f64 #s(literal 0 binary64) x))
	49.9%	(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
▶	29.7%	(fma.f64 y x #s(literal 0 binary64))
✓	46.7%	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓	52.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
▶	27.0%	(-.f64 #s(literal 0 binary64) x)
	54.1%	(*.f64 (+.f64 y #s(literal -1 binary64)) x)
▶	49.9%	(*.f64 (+.f64 x #s(literal -1/2 binary64)) y)
▶	26.3%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 99 to 71 computations (28.3% saved)

simplify22.0ms (0.3%)

Memory

-0.5MiB live, 41.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 (+.f64 x #s(literal -1/2 binary64)) y)
✓	cost-diff	0	(+.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 y x #s(literal 0 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(fma.f64 y x (-.f64 #s(literal 0 binary64) x))

Rules

336×	`accelerator-lowering-fma.f32`
336×	`accelerator-lowering-fma.f64`
192×	`-lowering-.f32`
192×	`-lowering-.f64`
96×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	20	32
2	35	32
3	65	32
4	91	32
5	172	32
6	262	32
7	366	32
8	518	32
9	524	32
0	524	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* y x) (- 0 x))
y
x
(- 0 x)
0
918938533204673/1000000000000000
(- 0 x)
0
x
(+ (* y x) 0)
y
x
0
(* (+ x -1/2) y)
(+ x -1/2)
x
-1/2
y

Outputs
(+ (* y x) (- 0 x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
y
x
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(+ (* y x) 0)
(fma.f64 y x #s(literal 0 binary64))
y
x
0
#s(literal 0 binary64)
(* (+ x -1/2) y)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+ x -1/2)
(+.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
y

localize87.0ms (1%)

Memory

6.5MiB live, 45.8MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal -1/2 binary64)) y)
✓	accuracy	100.0%	(fma.f64 y x #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(fma.f64 y x (-.f64 #s(literal 0 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)

Samples

74.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

const: 55.0ms (86.2% of total)

ival-mult: 4.0ms (6.3% of total)

ival-add: 3.0ms (4.7% of total)

ival-sub: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (+ (* y x) (- 0 x))>
#<alt (- 0 x)>
#<alt (+ (* y x) 0)>
#<alt (+ x -1/2)>
#<alt (* (+ x -1/2) y)>

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)>
#<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)>
#<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 (* -1/2 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 (* 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))>

Calls

24 calls:

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

rewrite524.0ms (6.3%)

Memory

-7.3MiB live, 548.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 398×	`accelerator-lowering-fma.f32`
7 398×	`accelerator-lowering-fma.f64`
2 606×	`-lowering-.f32`
2 606×	`-lowering-.f64`
2 230×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	64	18
2	763	17
0	10283	16

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 1 012

Calls

Call 1

Inputs
(+ (* y x) (- 0 x))
(- 0 x)
(+ (* y x) 0)
(+ x -1/2)
(* (+ x -1/2) y)

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

simplify336.0ms (4%)

Memory

0.2MiB live, 274.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 372×	`/-lowering-/.f32`
4 372×	`/-lowering-/.f64`
3 708×	`associate-/r*`
2 752×	`accelerator-lowering-fma.f32`
2 752×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	353
1	126	353
2	312	353
3	750	353
4	1884	353
5	3552	353
6	4399	353
7	4974	353
8	5290	353
9	5464	353
10	5551	353
11	6127	353
12	6393	353
13	6393	353
14	6401	353
15	6401	353
0	8526	353

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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)
(* 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)
-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)))
(* -1/2 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)))))
(* 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))

Outputs
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- (* x y) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(- (* x y) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(- (* x y) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 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))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(+ (* -1/2 y) (* x y))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+ (* -1/2 y) (* x y))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+ (* -1/2 y) (* x y))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* -1/2 (/ y x))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* x (+ y (* -1/2 (/ y x))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* x (+ y (* -1/2 (/ y x))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))

eval172.0ms (2.1%)

Memory: 16.3MiB live, 213.7MiB allocated
Compiler: Compiled 23 009 to 1 476 computations (93.6% saved)

prune253.0ms (3%)

Memory

14.7MiB live, 257.5MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 152	5	1 157
Fresh	1	1	2
Picked	3	2	5
Done	0	2	2
Total	1 156	10	1 166

Accuracy

100.0%

Counts

1 166 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.9%	(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
▶	54.1%	(fma.f64 y x (neg.f64 x))
✓	46.7%	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓	52.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	49.9%	(*.f64 (+.f64 x #s(literal -1/2 binary64)) y)
▶	29.7%	(*.f64 y x)
▶	22.4%	(*.f64 #s(literal -1/2 binary64) y)
▶	27.0%	(neg.f64 x)
▶	2.5%	x
✓	26.3%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 85 to 59 computations (30.6% saved)

simplify27.0ms (0.3%)

Memory

-25.7MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 y x)
✓	cost-diff	-64	(*.f64 #s(literal -1/2 binary64) y)
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	0	(fma.f64 y x (neg.f64 x))

Rules

208×	`accelerator-lowering-fma.f32`
208×	`accelerator-lowering-fma.f64`
144×	`-lowering-.f32`
144×	`-lowering-.f64`
64×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	15	23
2	25	23
3	39	23
4	61	23
5	127	23
6	225	23
7	291	23
8	327	23
9	332	23
10	332	23
0	332	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(+ (* y x) (neg x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
y
x
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
y
(* y x)
(fma.f64 y x #s(literal 0 binary64))
y
x

localize24.0ms (0.3%)

Memory

19.2MiB live, 19.2MiB allocated

Localize:

Found 5 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 4.0ms (63% of total)

ival-add: 1.0ms (15.8% of total)

ival-neg: 1.0ms (15.8% 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

1.0MiB live, 1.0MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (+ (* y x) (neg x))>
#<alt (neg x)>
#<alt (* -1/2 y)>
#<alt (* y 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)>
#<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 (* 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	@	0	(* -1/2 y)
0.0ms	x	@	-inf	(neg x)
0.0ms	y	@	0	(+ (* y x) (neg x))
0.0ms	x	@	inf	(+ (* y x) (neg x))
0.0ms	x	@	-inf	(+ (* y x) (neg x))

rewrite315.0ms (3.8%)

Memory

-3.2MiB live, 514.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 418×	`accelerator-lowering-fma.f32`
5 418×	`accelerator-lowering-fma.f64`
3 046×	`-lowering-.f32`
3 046×	`-lowering-.f64`
2 650×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	28	13
2	206	13
3	2210	12
0	10305	11

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 354

Calls

Call 1

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

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

simplify311.0ms (3.7%)

Memory

6.8MiB live, 281.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 584×	`accelerator-lowering-fma.f32`
3 584×	`accelerator-lowering-fma.f64`
2 048×	`-lowering-.f32`
2 048×	`-lowering-.f64`
1 736×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	245
1	67	245
2	152	245
3	279	245
4	602	245
5	1834	245
6	3110	245
7	3588	245
8	3864	245
9	4034	245
10	4068	245
11	4604	245
12	5874	245
13	6696	245
14	7020	245
15	7100	245
16	7100	245
17	7592	245
0	8028	245

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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)
(* -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)
(* 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
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- (* x y) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(- (* x y) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(- (* x y) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))

eval91.0ms (1.1%)

Memory: -33.9MiB live, 102.8MiB allocated
Compiler: Compiled 11 574 to 895 computations (92.3% saved)

prune59.0ms (0.7%)

Memory

3.4MiB live, 161.9MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	483	0	483
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	483	10	493

Accuracy

100.0%

Counts

493 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.9%	(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓	54.1%	(fma.f64 y x (neg.f64 x))
✓	46.7%	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
✓	52.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	49.9%	(*.f64 (+.f64 x #s(literal -1/2 binary64)) y)
✓	29.7%	(*.f64 y x)
✓	22.4%	(*.f64 #s(literal -1/2 binary64) y)
✓	27.0%	(neg.f64 x)
✓	2.5%	x
✓	26.3%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 146 to 74 computations (49.3% saved)

regimes26.0ms (0.3%)

Memory

20.7MiB live, 59.3MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y x #s(literal 0 binary64))
(*.f64 (+.f64 x #s(literal -1/2 binary64)) y)
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
(fma.f64 y x (neg.f64 x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 y x (-.f64 #s(literal 0 binary64) x))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(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
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))

Calls

4 calls:

7.0ms	y
6.0ms	x
6.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
5.0ms	(+.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)

regimes24.0ms (0.3%)

Memory

-28.1MiB live, 54.3MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y x #s(literal 0 binary64))
(*.f64 (+.f64 x #s(literal -1/2 binary64)) y)
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
(fma.f64 y x (neg.f64 x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 y x (-.f64 #s(literal 0 binary64) x))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))

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

Calls

4 calls:

5.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
5.0ms	x
5.0ms	y
5.0ms	(+.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
97.6%	3	`x`
98.2%	3	`y`
83.2%	5	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
83.2%	5	`(-.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

15.3MiB live, 15.3MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y x #s(literal 0 binary64))
(*.f64 (+.f64 x #s(literal -1/2 binary64)) y)
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
(fma.f64 y x (neg.f64 x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 y x (-.f64 #s(literal 0 binary64) x))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.2%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

9 → 5

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y x #s(literal 0 binary64))

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
79.7%	6	`x`
83.4%	5	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-16.0MiB live, 22.6MiB allocated

Counts

7 → 5

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y x)

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

Calls

3 calls:

4.0ms

3.0ms

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

3.0ms

(+.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
67.1%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
67.1%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
82.8%	5	`y`

Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes6.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 #s(literal -1/2 binary64) y)

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
56.8%	3	`x`
71.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

-11.2MiB live, 27.0MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)

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

Calls

4 calls:

4.0ms	y
2.0ms	x
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))

Results

Accuracy	Segments	Branch
52.0%	1	`x`
52.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
52.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
52.0%	1	`y`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes10.0ms (0.1%)

Memory

-17.4MiB live, 22.0MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)

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

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
33.4%	3	`y`
50.4%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
50.4%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
50.4%	3	`x`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes7.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated

Accuracy

Total -15.7b remaining (-33.3%)

Threshold costs -15.7b (-33.3%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x

Outputs
#s(literal 918938533204673/1000000000000000 binary64)

Calls

4 calls:

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))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
26.3%	1	`y`
26.3%	1	`x`
26.3%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
26.3%	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)

bsearch36.0ms (0.4%)

Memory

-9.2MiB live, 71.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.0873586756681207e-7	2741754.226239242
15.0ms	-2.177297193084898	-0.0032217508975595846

Samples

23.0ms

288×

valid

Compiler

Compiled 276 to 213 computations (22.8% saved)

Precisions

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

const: 5.0ms (37.2% of total)

ival-mult: 4.0ms (29.8% of total)

ival-sub: 3.0ms (22.3% of total)

ival-add: 1.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch36.0ms (0.4%)

Memory

-3.3MiB live, 74.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.0873586756681207e-7	2741754.226239242
15.0ms	-2.177297193084898	-0.0032217508975595846

Samples

23.0ms

288×

valid

Compiler

Compiled 268 to 213 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

const: 9.0ms (54.2% of total)

ival-sub: 3.0ms (18.1% of total)

ival-mult: 3.0ms (18.1% of total)

ival-add: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch61.0ms (0.7%)

Memory

15.8MiB live, 144.9MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	1.6003876982703498e+249	5.603225799710913e+252
12.0ms	1.7958838002204814e+96	2.1973452802718693e+98
16.0ms	3.273866917924759e-10	2.0873586756681207e-7
13.0ms	-2.177297193084898	-0.0032217508975595846

Samples

39.0ms

496×

valid

Compiler

Compiled 403 to 317 computations (21.3% saved)

Precisions

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

const: 8.0ms (33.4% of total)

ival-mult: 6.0ms (25.1% of total)

ival-sub: 5.0ms (20.9% of total)

ival-add: 4.0ms (16.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch120.0ms (1.4%)

Memory

-25.8MiB live, 128.9MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	1.6003876982703498e+249	5.603225799710913e+252
42.0ms	1.7958838002204814e+96	2.1973452802718693e+98
20.0ms	2.0873586756681207e-7	2741754.226239242
16.0ms	-2.177297193084898	-0.0032217508975595846

Samples

43.0ms

528×

valid

Compiler

Compiled 412 to 322 computations (21.8% saved)

Precisions

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

const: 9.0ms (32.9% of total)

ival-sub: 8.0ms (29.3% of total)

ival-mult: 6.0ms (22% of total)

ival-add: 2.0ms (7.3% of total)

exact: 1.0ms (3.7% of total)

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

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

bsearch37.0ms (0.4%)

Memory

31.1MiB live, 67.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.0873586756681207e-7	2741754.226239242
10.0ms	-12750166666227591000.0	-2856063807860166000.0

Samples

25.0ms

256×

valid

Compiler

Compiled 208 to 175 computations (15.9% saved)

Precisions

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

ival-mult: 11.0ms (56.6% of total)

const: 4.0ms (20.6% of total)

ival-sub: 2.0ms (10.3% of total)

ival-add: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.49429884586336004	7.791145268705552
0.0ms	-2281.602424355909	-1.0436793378340604e-7

Compiler

Compiled 16 to 15 computations (6.3% saved)

simplify63.0ms (0.8%)

Memory

-14.8MiB live, 28.2MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`unsub-neg_binary64`
32×	`neg-mul-1_binary64`
26×	`*-commutative_binary64`
26×	`+-commutative_binary64`
22×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	155
1	98	155
2	118	155
3	132	155
4	158	155
5	199	155
6	200	155

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(if (<=.f64 y #s(literal -6124895493223875/4503599627370496 binary64)) (fma.f64 y x (.f64 y #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 3715469692580659/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (+.f64 x #s(literal -1/2 binary64)) y)))
(if (<=.f64 y #s(literal -6124895493223875/4503599627370496 binary64)) (.f64 (+.f64 x #s(literal -1/2 binary64)) y) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (+.f64 x #s(literal -1/2 binary64)) y)))
(if (<=.f64 y #s(literal -4841369599423283/2251799813685248 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 4911261142184431/37778931862957161709568 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 6400000000000000129400826413798060726887016468571889543281771879731225631988251579895666096209920 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 y #s(literal 5400000000000000209834309255729774187813829428867246714568432167226874735540956216971926256860863878947392860017394223485393077830739895501391065255916912212347019702087197262422783234451320660404559795706408200992106795945801425328544749714375547289600 binary64)) (.f64 y x) (*.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 y #s(literal -4841369599423283/2251799813685248 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 8196551321814303/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 4499999999999999572236396289025205950994420615542782652470464550866291125721763036663319436984320 binary64)) (.f64 #s(literal -1/2 binary64) y) (if (<=.f64 y #s(literal 3099999999999999818991323618602616222119732432487293598910671747082601103413765638408994005962657048786992490767983857295202932925996566262915108510297557876887182844979399498344453164955626571292437633379795285551954893496582311404124248431025465589760 binary64)) (.f64 y x) (.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 y #s(literal -2900000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y) (if (<=.f64 y #s(literal 8196551321814303/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 #s(literal -1/2 binary64) y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(if (<=.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal -2000 binary64)) (neg.f64 x) (if (<=.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(if (<=.f64 y #s(literal -6124895493223875/4503599627370496 binary64)) (fma.f64 y x (.f64 y #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 3715469692580659/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (+.f64 x #s(literal -1/2 binary64)) y)))
(if (<=.f64 y #s(literal -6124895493223875/4503599627370496 binary64)) (fma.f64 y x (.f64 y #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 y #s(literal -6124895493223875/4503599627370496 binary64)) (.f64 (+.f64 x #s(literal -1/2 binary64)) y) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (+.f64 x #s(literal -1/2 binary64)) y)))
(if (<=.f64 y #s(literal -6124895493223875/4503599627370496 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -4841369599423283/2251799813685248 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 4911261142184431/37778931862957161709568 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 6400000000000000129400826413798060726887016468571889543281771879731225631988251579895666096209920 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 y #s(literal 5400000000000000209834309255729774187813829428867246714568432167226874735540956216971926256860863878947392860017394223485393077830739895501391065255916912212347019702087197262422783234451320660404559795706408200992106795945801425328544749714375547289600 binary64)) (.f64 y x) (*.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 y #s(literal -4841369599423283/2251799813685248 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 4911261142184431/37778931862957161709568 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 6400000000000000129400826413798060726887016468571889543281771879731225631988251579895666096209920 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 y #s(literal 5400000000000000209834309255729774187813829428867246714568432167226874735540956216971926256860863878947392860017394223485393077830739895501391065255916912212347019702087197262422783234451320660404559795706408200992106795945801425328544749714375547289600 binary64)) (.f64 y x) (*.f64 y #s(literal -1/2 binary64))))))
(if (<=.f64 y #s(literal -4841369599423283/2251799813685248 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 8196551321814303/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 4499999999999999572236396289025205950994420615542782652470464550866291125721763036663319436984320 binary64)) (.f64 #s(literal -1/2 binary64) y) (if (<=.f64 y #s(literal 3099999999999999818991323618602616222119732432487293598910671747082601103413765638408994005962657048786992490767983857295202932925996566262915108510297557876887182844979399498344453164955626571292437633379795285551954893496582311404124248431025465589760 binary64)) (.f64 y x) (.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 y #s(literal -4841369599423283/2251799813685248 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 8196551321814303/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 4499999999999999572236396289025205950994420615542782652470464550866291125721763036663319436984320 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 3099999999999999818991323618602616222119732432487293598910671747082601103413765638408994005962657048786992490767983857295202932925996566262915108510297557876887182844979399498344453164955626571292437633379795285551954893496582311404124248431025465589760 binary64)) (.f64 y x) (.f64 y #s(literal -1/2 binary64))))))
(if (<=.f64 y #s(literal -2900000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) y) (if (<=.f64 y #s(literal 8196551321814303/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 #s(literal -1/2 binary64) y)))
(if (<=.f64 y #s(literal -2900000000000000000 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 8196551321814303/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y #s(literal -1/2 binary64))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(if (<=.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal -2000 binary64)) (neg.f64 x) (if (<=.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
(if (<=.f64 (-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal -2000 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 (-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (-.f64 #s(literal 0 binary64) x)))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.8s (21.5%)

Memory

7.0MiB live, 851.5MiB allocated

Rules

11 900×	`accelerator-lowering-fma.f32`
11 900×	`accelerator-lowering-fma.f64`
10 798×	`accelerator-lowering-fma.f32`
10 798×	`accelerator-lowering-fma.f64`
7 398×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	766
1	337	766
2	936	743
3	2737	743
4	6019	743
5	7914	743
0	8042	697
0	41	353
1	126	353
2	312	353
3	750	353
4	1884	353
5	3552	353
6	4399	353
7	4974	353
8	5290	353
9	5464	353
10	5551	353
11	6127	353
12	6393	353
13	6393	353
14	6401	353
15	6401	353
0	8526	353
0	20	43
1	148	43
2	1372	43
0	8407	40
0	10	18
1	64	18
2	763	17
0	10283	16
0	76	593
1	232	592
2	695	520
3	1795	520
4	6369	520
0	8164	501

Stop Event

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

Compiler

Compiled 378 to 221 computations (41.5% saved)

preprocess111.0ms (1.3%)

Memory: -19.9MiB live, 178.0MiB allocated
Compiler: Compiled 362 to 146 computations (59.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	11	32
1	20	32
2	35	32
3	65	32
4	91	32
5	172	32
6	262	32
7	366	32
8	518	32
9	524	32
0	524	32

Iter	Nodes	Cost
0	7	23
1	15	23
2	25	23
3	39	23
4	61	23
5	127	23
6	225	23
7	291	23
8	327	23
9	332	23
10	332	23
0	332	23

Iter	Nodes	Cost
0	11	32
1	20	32
2	35	32
3	65	32
4	91	32
5	172	32
6	262	32
7	366	32
8	518	32
9	524	32
0	524	32

Iter	Nodes	Cost
0	7	23
1	15	23
2	25	23
3	39	23
4	61	23
5	127	23
6	225	23
7	291	23
8	327	23
9	332	23
10	332	23
0	332	23

analyze0.0ms (0%)

sample1.2s (14%)

preprocess201.0ms (2.4%)

explain164.0ms (2%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify63.0ms (0.8%)

localize34.0ms (0.4%)

series6.0ms (0.1%)

rewrite422.0ms (5.1%)

simplify332.0ms (4%)

eval131.0ms (1.6%)

prune57.0ms (0.7%)

simplify67.0ms (0.8%)

localize62.0ms (0.7%)

series8.0ms (0.1%)

rewrite447.0ms (5.4%)

simplify366.0ms (4.4%)

eval118.0ms (1.4%)

prune100.0ms (1.2%)

simplify22.0ms (0.3%)

localize87.0ms (1%)

series2.0ms (0%)

rewrite524.0ms (6.3%)

simplify336.0ms (4%)

eval172.0ms (2.1%)

prune253.0ms (3%)

simplify27.0ms (0.3%)

localize24.0ms (0.3%)

series1.0ms (0%)

rewrite315.0ms (3.8%)

simplify311.0ms (3.7%)

eval91.0ms (1.1%)

prune59.0ms (0.7%)

regimes26.0ms (0.3%)

regimes24.0ms (0.3%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch36.0ms (0.4%)

bsearch36.0ms (0.4%)

bsearch61.0ms (0.7%)

bsearch120.0ms (1.4%)

bsearch37.0ms (0.4%)

bsearch0.0ms (0%)

simplify63.0ms (0.8%)

soundness1.8s (21.5%)

preprocess111.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	32
1	20	32
2	35	32
3	65	32
4	91	32
5	172	32
6	262	32
7	366	32
8	518	32
9	524	32
0	524	32

Iter	Nodes	Cost
0	7	23
1	15	23
2	25	23
3	39	23
4	61	23
5	127	23
6	225	23
7	291	23
8	327	23
9	332	23
10	332	23
0	332	23