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

analyze0.0ms (0%)

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 14 to 11 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

...c/correct-round.rkt:119:19: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample922.0ms (14.7%)

Results

700.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 465.0ms

...c/correct-round.rkt:119:19: 178.0ms (38.3% of total)

ival-mult: 128.0ms (27.5% of total)

ival-sub: 101.0ms (21.7% of total)

ival-add: 42.0ms (9% of total)

const: 13.0ms (2.8% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess267.0ms (4.2%)

Algorithm

2×	egg-herbie

Rules

3736×	`sum3-define`
2654×	`sum3-define`
2014×	`fnmadd-define`
2002×	`fnmsub-define`
1768×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	68
1	92	58
2	278	56
3	958	54
4	4132	50
5	6472	50
6	6998	50
7	7135	50
8	7161	50
9	7165	50
0	10	10
1	27	9
2	69	9
3	159	9
4	345	8
5	890	8
6	2558	8
7	4680	8
8	7422	8
0	8011	8

Stop Event

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

Calls

Call 1

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

Outputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+.f64 (*.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)
(+ (fnmsub y (- 1/2 x) x) 918938533204673/1000000000000000)
(+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(sum3 x 918938533204673/1000000000000000 (* y (- -1/2 x)))
(+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000)
(+ 918938533204673/1000000000000000 (fnmsub y (+ x -1/2) x))
(neg (+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000))
(+ -918938533204673/1000000000000000 (- (* y (+ x 1/2)) x))
(neg (+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000))
(- -918938533204673/1000000000000000 (fnmsub y (+ x -1/2) x))
(+ (- (* y (- x 1)) (* x 1/2)) 918938533204673/1000000000000000)
(- 918938533204673/1000000000000000 (+ y (* x (- 1/2 y))))

explain106.0ms (1.7%)

FPErrors

Click to see full error table

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

Results

71.0ms

512×

valid

Compiler

Compiled 91 to 32 computations (64.8% saved)

Precisions

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

...c/correct-round.rkt:119:19: 23.0ms (58.2% of total)

ival-mult: 7.0ms (17.7% of total)

ival-sub: 6.0ms (15.2% of total)

ival-add: 3.0ms (7.6% of total)

const: 1.0ms (2.5% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify178.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2496×	`sum3-define`
2448×	`sum5-define`
2220×	`fnmadd-define`
1656×	`fmsub-define`
1578×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	22	23
2	64	23
3	144	23
4	371	23
5	906	23
6	2871	23
7	5089	23
8	6998	23
9	7831	23
10	7956	23
11	7956	23
0	8532	23

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize57.0ms (0.9%)

Localize:

Found 4 expressions of interest:

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

Results

48.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

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

...c/correct-round.rkt:119:19: 5.0ms (42.3% of total)

ival-add: 3.0ms (25.4% of total)

ival-mult: 2.0ms (16.9% of total)

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts

4 → 72

Calls

Call 1

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

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
0.0ms	x	@	0	(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
0.0ms	x	@	-inf	(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
0.0ms	y	@	-inf	(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
0.0ms	y	@	0	(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))

rewrite467.0ms (7.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5078×	`-lowering-.f32`
5078×	`-lowering-.f64`
3920×	`/-lowering-/.f32`
3920×	`/-lowering-/.f64`
1978×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	61	19
2	571	19
0	8590	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 286

Calls

Call 1

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

Outputs
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (-.f64 x (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (+.f64 (.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(+.f64 (.f64 y x) (-.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x))
(+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x))
(+.f64 (/.f64 (.f64 (+.f64 x #s(literal -1/2 binary64)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (.f64 y y))) (-.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (neg.f64 (/.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))
(+.f64 (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y x)) (.f64 y #s(literal -1/2 binary64)))
(+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y #s(literal -1/2 binary64))) (.f64 y x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 x (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(-.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 x #s(literal -1/2 binary64)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (.f64 y y))) (-.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (/.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) (+.f64 (.f64 (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 x (+.f64 x (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 x (+.f64 x (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y (+.f64 x #s(literal -1/2 binary64))))) (/.f64 (.f64 (+.f64 x #s(literal -1/2 binary64)) (.f64 (+.f64 x #s(literal -1/2 binary64)) (.f64 y y))) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (.f64 x x) (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))
(-.f64 (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(-.f64 (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))
(-.f64 (+.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64)) x)
(fma.f64 y x (-.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 x y (-.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x))
(fma.f64 (+.f64 x #s(literal -1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
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(.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 x #s(literal 1/2 binary64))))))
(.f64 (+.f64 (.f64 x x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))))
(.f64 (+.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1 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 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))))
(+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1 binary64) x #s(literal 918938533204673/1000000000000000 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(/.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x x))) (-.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x x)))) (neg.f64 (-.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (.f64 #s(literal -918938533204673/1000000000000000 binary64) x))))
(/.f64 (+.f64 #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) (.f64 x x))) (.f64 (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (+.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 (.f64 x x) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))) (.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) (.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))) (+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (*.f64 #s(literal -918938533204673/1000000000000000 binary64) x))))
(.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))))
(.f64 (+.f64 #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

simplify187.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1996×	`fnmadd-define`
1720×	`-lowering-.f32`
1720×	`-lowering-.f64`
1438×	`+-lowering-+.f64`
1438×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	366
1	225	347
2	707	347
3	2364	345
0	8255	345

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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

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

eval57.0ms (0.9%)

Compiler: Compiled 10623 to 1095 computations (89.7% saved)

prune61.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	352	6	358
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	352	7	359

Accuracy

100.0%

Counts

359 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.8%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	100.0%	(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶	74.2%	(+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
	72.9%	(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶	47.2%	(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
▶	53.2%	(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
▶	55.0%	(*.f64 x (+.f64 y #s(literal -1 binary64)))

Compiler

Compiled 99 to 74 computations (25.3% saved)

simplify91.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

998×	`fnmadd-define`
782×	`sum3-define`
748×	`sum5-define`
660×	`fmsub-define`
654×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	34	52
2	60	52
3	90	51
4	146	51
5	340	51
6	915	51
7	2043	51
8	2887	51
9	3336	51
10	3428	51
11	3447	51
12	3459	51
13	3476	51
14	3490	51
15	3494	51
0	3494	51

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize87.0ms (1.4%)

Localize:

Found 10 expressions of interest:

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

Results

69.0ms

256×

valid

Compiler

Compiled 57 to 15 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-add: 8.0ms (34.2% of total)

ival-mult: 8.0ms (34.2% of total)

...c/correct-round.rkt:119:19: 5.0ms (21.4% of total)

ival-sub: 2.0ms (8.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts

9 → 156

Calls

Call 1

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

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

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* y x) (- 918938533204673/1000000000000000 x))
0.0ms	x	@	0	(* x (+ y -1))
0.0ms	x	@	inf	(* x (+ y -1))
0.0ms	y	@	-inf	(* y -1/2)
0.0ms	y	@	-inf	(* x (+ y -1))

rewrite340.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4516×	`-lowering-.f32`
4516×	`-lowering-.f64`
3344×	`/-lowering-/.f32`
3344×	`/-lowering-/.f64`
2148×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	96	35
2	789	35
0	8521	35

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 320

Calls

Call 1

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

Outputs
(+.f64 (*.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (-.f64 x (*.f64 y x))))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y x))
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x))
(+.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (-.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (neg.f64 (/.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 x (*.f64 y x)))
(-.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (*.f64 y x)))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 y x)))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (-.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))) (+.f64 (.f64 (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 x (+.f64 x (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 x (+.f64 x (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (.f64 y x)))) (/.f64 (.f64 y (.f64 y (.f64 x x))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (.f64 y x)))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 (.f64 y x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (.f64 x x) (+.f64 (.f64 y x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))
(-.f64 (+.f64 (.f64 y x) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(-.f64 (+.f64 (.f64 y x) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (.f64 x x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))
(-.f64 (+.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64)) x)
(fma.f64 y x (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 x y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (.f64 y x))
(fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 y x))
(neg.f64 (/.f64 (+.f64 (.f64 y (.f64 x (.f64 y (.f64 y (.f64 x x))))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (.f64 y x))))))))
(neg.f64 (/.f64 (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 y (.f64 y (.f64 x x))))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (.f64 y x)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) (-.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (.f64 (.f64 y x) (-.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) (+.f64 (.f64 y (.f64 x (.f64 y (.f64 y (.f64 x x))))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 x (+.f64 x (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))))) (-.f64 (.f64 (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (.f64 y x))) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (.f64 (+.f64 (.f64 y x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (+.f64 y #s(literal -1 binary64)))))))
(/.f64 (+.f64 (.f64 y (.f64 x (.f64 y (.f64 y (.f64 x x))))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (.f64 y x))))))
(/.f64 (+.f64 (.f64 y (.f64 x (.f64 y (.f64 y (.f64 x x))))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (+.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (.f64 (.f64 y x) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 y (.f64 y (.f64 x x))))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (.f64 y x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 x (.f64 y (.f64 y (.f64 x x))))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (neg.f64 (+.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (.f64 (.f64 y x) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))) (.f64 x (.f64 x x))) (+.f64 (.f64 (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 x (+.f64 x (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))) (.f64 x (.f64 x x))) (+.f64 (.f64 (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (.f64 x x) (.f64 (+.f64 (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (.f64 (+.f64 (.f64 y x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (+.f64 y #s(literal -1 binary64))))) (+.f64 (.f64 y x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (.f64 (+.f64 (.f64 y x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (+.f64 y #s(literal -1 binary64))))) (-.f64 (+.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (.f64 y x)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (.f64 y x))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y (.f64 x x))) (-.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 (-.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (.f64 (-.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 y (.f64 x (.f64 y (.f64 y (.f64 x x))))))) (.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (-.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (.f64 y (.f64 x (.f64 y (.f64 y (.f64 x x)))))))) (+.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y x)))))))
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(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64)))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y (-.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64)))))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 #s(literal 918938533204673/2000000000000000 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 #s(literal 918938533204673/2000000000000000 binary64) y))) (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y y)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 y y) #s(literal -1/4 binary64))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y (-.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64))))) (neg.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 #s(literal 918938533204673/2000000000000000 binary64) y)))))
(/.f64 (+.f64 #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) (neg.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1/512 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64))) (-.f64 (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64))) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y (-.f64 (.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y)))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y (-.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 1/64 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/16 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y (-.f64 (*.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) (neg.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64))))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64))))) (.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64))))) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64)))))) (+.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y (-.f64 (.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64))))))
(.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 #s(literal 918938533204673/2000000000000000 binary64) y)))))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 y y) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y (-.f64 (.f64 y #s(literal 1/4 binary64)) #s(literal -918938533204673/2000000000000000 binary64)))))))
(.f64 (+.f64 #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) (neg.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64))))))
(.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)

simplify200.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1908×	`-lowering-.f32`
1908×	`-lowering-.f64`
1636×	`sum5-define`
1502×	`fma-define`
1484×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	625
1	256	575
2	743	575
3	2198	575
4	7172	575
0	8439	575

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

eval59.0ms (0.9%)

Compiler: Compiled 9011 to 1009 computations (88.8% saved)

prune60.0ms (1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	526	4	530
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	528	9	537

Accuracy

100.0%

Counts

537 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.0%	(-.f64 (*.f64 y x) x)
✓	47.8%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	100.0%	(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶	72.9%	(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	47.2%	(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
✓	53.2%	(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
▶	28.4%	(*.f64 y x)
▶	27.1%	(*.f64 y #s(literal -1/2 binary64))
▶	21.8%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 88 to 65 computations (26.1% saved)

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

714×	`fnmadd-define`
666×	`sum3-define`
576×	`sum5-define`
526×	`fmsub-define`
510×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	20	36
2	38	36
3	77	36
4	147	36
5	309	36
6	764	36
7	1502	36
8	2395	36
9	2618	36
10	2653	36
0	2653	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize48.0ms (0.8%)

Localize:

Found 7 expressions of interest:

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

Results

35.0ms

256×

valid

Compiler

Compiled 41 to 10 computations (75.6% saved)

Precisions

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

...c/correct-round.rkt:119:19: 6.0ms (41.9% of total)

ival-mult: 4.0ms (27.9% of total)

ival-sub: 3.0ms (20.9% of total)

ival-add: 1.0ms (7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts

5 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* y -1/2) (- 918938533204673/1000000000000000 x))
0.0ms	x	@	inf	(- (* y x) x)
0.0ms	y	@	0	(+ (* y -1/2) (- 918938533204673/1000000000000000 x))
0.0ms	y	@	0	(- (* y x) x)
0.0ms	y	@	inf	(+ (* y -1/2) (- 918938533204673/1000000000000000 x))

rewrite344.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4236×	`-lowering-.f32`
4236×	`-lowering-.f64`
3066×	`/-lowering-/.f32`
3066×	`/-lowering-/.f64`
1524×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	57	19
2	506	19
3	7600	19
0	8214	19

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 220

Calls

Call 1

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

Outputs
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 (-.f64 x (*.f64 y #s(literal -1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x))
(+.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (+.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))) (neg.f64 (/.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))))))
(+.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 y #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 x (*.f64 y #s(literal -1/2 binary64))))
(-.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (*.f64 y #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (.f64 y #s(literal -1/2 binary64))))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (+.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))) (/.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (+.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 x (+.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 x (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y #s(literal 1/2 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (.f64 x x) (+.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))))
(-.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))
(-.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (/.f64 (.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(-.f64 (+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64)) x)
(fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (.f64 y #s(literal -1/2 binary64)))
(fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (.f64 y #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64))))))))
(neg.f64 (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (+.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (+.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (+.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (+.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (+.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))) (+.f64 (.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(/.f64 (+.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))) (.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (-.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (.f64 (.f64 y (*.f64 y y)) #s(literal -1/8 binary64)))))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (.f64 x (.f64 x x))) (+.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 x (+.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (.f64 x (.f64 x x))) (+.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (.f64 x x) (.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 x (+.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))) (-.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y #s(literal 1/2 binary64))) (+.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (.f64 #s(literal -1/4 binary64) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) x)))))
(/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (.f64 (+.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/8 binary64)) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))))
(/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (.f64 (+.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))) (+.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/16 binary64)) (.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/16 binary64)) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))) (.f64 (+.f64 x (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))) (+.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 x x)) (+.f64 x (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 x x)) (-.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x)))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 y (.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (.f64 y (.f64 y x)) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 y #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64)))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64))))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64))))))) (.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 (.f64 y (.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (+.f64 y #s(literal 1 binary64))))) (+.f64 (.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 (.f64 x x) (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 (.f64 x x) (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 x x)))) (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64))))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64)))))))) (+.f64 (/.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64)))))) (/.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 (.f64 y (.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 (.f64 x x) (.f64 x (+.f64 y #s(literal 1 binary64)))))) (+.f64 (/.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 (.f64 x x) (.f64 x (+.f64 y #s(literal 1 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x))))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64))))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 (.f64 y (.f64 y y)) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 y x) (.f64 y (.f64 y (*.f64 x x))))))))
(/.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 y (.f64 y y)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64))))))) (.f64 (+.f64 (.f64 y (.f64 y y)) #s(literal 1 binary64)) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 y (.f64 y y)) #s(literal 1 binary64)) (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1 binary64))))) (+.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x))))) (.f64 (.f64 x x) (.f64 (+.f64 (.f64 y y) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 x x)) (.f64 x (-.f64 (.f64 y (.f64 y x)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 (+.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (/.f64 (.f64 x (-.f64 (.f64 y (*.f64 y x)) x)) (+.f64 y #s(literal 1 binary64))) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 (-.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 x x)) (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(.f64 (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 y (.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))))
(.f64 (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64))))) (/.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64)))))))
(.f64 (.f64 x (-.f64 (.f64 y (.f64 y x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 x (+.f64 y #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (.f64 y (.f64 y x)) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64)))))) (-.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal 1 binary64)))) (.f64 x (-.f64 (.f64 y (*.f64 y x)) x)))
(.f64 (/.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) x))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 y (.f64 y x)) x)) (.f64 x (-.f64 (.f64 y (.f64 y x)) x))) (.f64 x (+.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))))) (.f64 (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 x (+.f64 y #s(literal 1 binary64)))))))) (+.f64 (.f64 y (.f64 (.f64 y (.f64 x x)) (.f64 y (.f64 y (.f64 x x))))) (.f64 (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 x (+.f64 y #s(literal 1 binary64)))) (.f64 y (.f64 y (.f64 x x)))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y (.f64 y (.f64 x x)))) (.f64 x (.f64 x x))) (.f64 (.f64 x (+.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64))))) (.f64 x (-.f64 (.f64 y (.f64 y x)) (.f64 x (+.f64 y #s(literal 1 binary64))))))) (.f64 x (-.f64 (.f64 y (.f64 y x)) (*.f64 x (+.f64 y #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 y (.f64 y x)) x)) (.f64 (+.f64 (.f64 y (.f64 y y)) #s(literal 1 binary64)) (.f64 x (.f64 x x)))) (-.f64 (.f64 (+.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 x x)) (.f64 y (.f64 x x))))

simplify155.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1900×	`fmsub-define`
1862×	`fma-lowering-fma.f32`
1862×	`fma-lowering-fma.f64`
1642×	`fnmsub-define`
1558×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	376
1	184	357
2	533	357
3	1416	357
4	4833	357
0	8108	357

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval36.0ms (0.6%)

Compiler: Compiled 8132 to 710 computations (91.3% saved)

prune74.0ms (1.2%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	356	0	356
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	356	9	365

Accuracy

100.0%

Counts

365 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.0%	(-.f64 (*.f64 y x) x)
✓	47.8%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	100.0%	(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	72.9%	(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	47.2%	(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
✓	53.2%	(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
✓	28.4%	(*.f64 y x)
✓	27.1%	(*.f64 y #s(literal -1/2 binary64))
✓	21.8%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 125 to 68 computations (45.6% saved)

regimes21.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
5.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
4.0ms	y
4.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

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

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes8.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

(-.f64 (*.f64 y x) x)

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
99.0%	3	`x`
98.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
97.5%	3	`y`
98.8%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
97.5%	3	`y`
79.7%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
78.8%	3	`x`
80.1%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.2%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
79.0%	4	`y`
60.0%	5	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
52.3%	3	`x`
53.5%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
46.1%	3	`y`
27.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
#s(literal 918938533204673/1000000000000000 binary64)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
21.8%	1	`x`
21.8%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch42.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	4.858051101511317e-22	5845008.786018753
16.0ms	-0.9660467215230166	-0.021392729356156454

Results

26.0ms

288×

valid

Compiler

Compiled 356 to 262 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

...c/correct-round.rkt:119:19: 5.0ms (34.2% of total)

ival-mult: 4.0ms (27.3% of total)

ival-sub: 3.0ms (20.5% of total)

ival-add: 2.0ms (13.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch40.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	4.858051101511317e-22	5845008.786018753
13.0ms	-0.9660467215230166	-0.021392729356156454

Results

27.0ms

288×

valid

Compiler

Compiled 342 to 248 computations (27.5% saved)

Precisions

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

ival-sub: 7.0ms (37.3% of total)

...c/correct-round.rkt:119:19: 5.0ms (26.6% of total)

ival-mult: 4.0ms (21.3% of total)

ival-add: 2.0ms (10.7% of total)

const: 1.0ms (5.3% of total)

backward-pass: 0.0ms (0% of total)

bsearch190.0ms (3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	4.858051101511317e-22	5845008.786018753
165.0ms	-0.9660467215230166	-0.021392729356156454

Results

177.0ms

288×

valid

Compiler

Compiled 306 to 230 computations (24.8% saved)

Precisions

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

ival-sub: 5.0ms (30.1% of total)

...c/correct-round.rkt:119:19: 5.0ms (30.1% of total)

ival-mult: 4.0ms (24.1% of total)

ival-add: 2.0ms (12% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	4.858051101511317e-22	5845008.786018753
13.0ms	-0.9660467215230166	-0.021392729356156454

Results

26.0ms

288×

valid

Compiler

Compiled 306 to 248 computations (19% saved)

Precisions

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

ival-mult: 7.0ms (40.7% of total)

...c/correct-round.rkt:119:19: 5.0ms (29.1% of total)

ival-sub: 3.0ms (17.4% of total)

ival-add: 1.0ms (5.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch56.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	3.5400964081597145e-7	7.281643359594103
20.0ms	-25677002472.64942	-0.11645606908823906

Results

42.0ms

304×

valid

Compiler

Compiled 284 to 223 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 19.0ms (59.7% of total)

...c/correct-round.rkt:119:19: 6.0ms (18.8% of total)

ival-mult: 4.0ms (12.6% of total)

ival-sub: 3.0ms (9.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	4.858051101511317e-22	5845008.786018753
16.0ms	-0.021392729356156454	-3.682466560065102e-11

Results

30.0ms

320×

valid

Compiler

Compiled 298 to 234 computations (21.5% saved)

Precisions

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

ival-sub: 9.0ms (42.3% of total)

...c/correct-round.rkt:119:19: 6.0ms (28.2% of total)

ival-mult: 4.0ms (18.8% of total)

ival-add: 2.0ms (9.4% of total)

const: 1.0ms (4.7% of total)

backward-pass: 0.0ms (0% of total)

bsearch58.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	2.853523388057395e+108	8.939062516627886e+112
18.0ms	3.5400964081597145e-7	7.281643359594103
20.0ms	-25677002472.64942	-0.11645606908823906

Results

37.0ms

432×

valid

Compiler

Compiled 342 to 257 computations (24.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

...c/correct-round.rkt:119:19: 8.0ms (34.9% of total)

ival-sub: 6.0ms (26.2% of total)

ival-mult: 6.0ms (26.2% of total)

ival-add: 2.0ms (8.7% of total)

const: 1.0ms (4.4% of total)

backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	4.858051101511317e-22	5845008.786018753
18.0ms	-0.021392729356156454	-3.682466560065102e-11

Results

28.0ms

320×

valid

Compiler

Compiled 258 to 194 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

...c/correct-round.rkt:119:19: 8.0ms (45.1% of total)

ival-mult: 4.0ms (22.5% of total)

ival-sub: 3.0ms (16.9% of total)

ival-add: 2.0ms (11.3% of total)

const: 1.0ms (5.6% of total)

backward-pass: 0.0ms (0% of total)

bsearch61.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.4044026786343106e-12	3.5400964081597145e-7
40.0ms	-25677002472.64942	-0.11645606908823906

Results

26.0ms

304×

valid

Compiler

Compiled 208 to 185 computations (11.1% saved)

Precisions

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

...c/correct-round.rkt:119:19: 8.0ms (46.7% of total)

ival-mult: 4.0ms (23.3% of total)

ival-sub: 3.0ms (17.5% of total)

ival-add: 2.0ms (11.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify32.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
14×	`if-if-or-not_binary32`
10×	`*-commutative_binary64`
6×	`sub-neg_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	182
1	99	182
2	104	182
3	106	182
4	107	182

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -1/2 binary64)) (+.f64 (.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 x #s(literal 580000 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -4278419646001971/4503599627370496 binary64)) (-.f64 (.f64 y x) x) (if (<=.f64 x #s(literal 740 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) (-.f64 (.f64 y x) x) (if (<=.f64 x #s(literal 3242591731706757/4503599627370496 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64))) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -5854679515581645/4503599627370496 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -3170534137668829/288230376151711744 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal -1/2 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -9 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 3715469692580659/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 6600000000000000222307420466052128574291344765173923877991939082816058072721717679593208217155183955948838322176 binary64)) (.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -6052837899185947/288230376151711744 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal -1/2 binary64)) (*.f64 y x)))
(if (<=.f64 y #s(literal -4165829655317709/2251799813685248 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 6611313076017503/18889465931478580854784 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64))))
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -1/2 binary64)) (+.f64 (.f64 y x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 x #s(literal 580000 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -1/2 binary64)) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y x)) (if (<=.f64 x #s(literal 580000 binary64)) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y #s(literal -1/2 binary64))) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -4278419646001971/4503599627370496 binary64)) (-.f64 (.f64 y x) x) (if (<=.f64 x #s(literal 740 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -4278419646001971/4503599627370496 binary64)) (-.f64 (.f64 y x) x) (if (<=.f64 x #s(literal 740 binary64)) (+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y #s(literal -1/2 binary64))) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) (-.f64 (.f64 y x) x) (if (<=.f64 x #s(literal 3242591731706757/4503599627370496 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64))) (-.f64 (*.f64 y x) x)))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64))) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -5854679515581645/4503599627370496 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -3170534137668829/288230376151711744 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal -1/2 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -9 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 3715469692580659/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 6600000000000000222307420466052128574291344765173923877991939082816058072721717679593208217155183955948838322176 binary64)) (.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -6052837899185947/288230376151711744 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal -1/2 binary64)) (*.f64 y x)))
(if (<=.f64 y #s(literal -4165829655317709/2251799813685248 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 6611313076017503/18889465931478580854784 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64))))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.7s (26.4%)

Rules

4516×	`-lowering-.f32`
4516×	`-lowering-.f64`
3344×	`/-lowering-/.f32`
3344×	`/-lowering-/.f64`
2654×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	366
1	225	347
2	707	347
3	2364	345
0	8255	345
0	10	10
1	27	9
2	69	9
3	159	9
4	345	8
5	890	8
6	2558	8
7	4680	8
8	7422	8
0	8011	8
0	14	36
1	96	35
2	789	35
0	8521	35
0	80	625
1	256	575
2	743	575
3	2198	575
4	7172	575
0	8439	575

Stop Event

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

Compiler

Compiled 660 to 395 computations (40.2% saved)

preprocess68.0ms (1.1%)

Compiler: Compiled 442 to 154 computations (65.2% saved)

analyze0.0ms (0%)

sample922.0ms (14.7%)

preprocess267.0ms (4.2%)

explain106.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify178.0ms (2.8%)

localize57.0ms (0.9%)

series4.0ms (0.1%)

rewrite467.0ms (7.4%)

simplify187.0ms (3%)

eval57.0ms (0.9%)

prune61.0ms (1%)

simplify91.0ms (1.4%)

localize87.0ms (1.4%)

series7.0ms (0.1%)

rewrite340.0ms (5.4%)

simplify200.0ms (3.2%)

eval59.0ms (0.9%)

prune60.0ms (1%)

simplify59.0ms (0.9%)

localize48.0ms (0.8%)

series3.0ms (0.1%)

rewrite344.0ms (5.5%)

simplify155.0ms (2.5%)

eval36.0ms (0.6%)

prune74.0ms (1.2%)

regimes21.0ms (0.3%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes11.0ms (0.2%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes14.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch42.0ms (0.7%)

bsearch40.0ms (0.6%)

bsearch190.0ms (3%)

bsearch39.0ms (0.6%)

bsearch56.0ms (0.9%)

bsearch46.0ms (0.7%)

bsearch58.0ms (0.9%)

bsearch42.0ms (0.7%)

bsearch61.0ms (1%)

simplify32.0ms (0.5%)

soundness1.7s (26.4%)

preprocess68.0ms (1.1%)

end0.0ms (0%)

Profiling