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)

sample1.4s (21.9%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 504.0ms

...c/correct-round.rkt:119:19: 172.0ms (34.2% of total)

ival-mult: 148.0ms (29.4% of total)

ival-sub: 117.0ms (23.2% of total)

ival-add: 48.0ms (9.5% of total)

const: 16.0ms (3.2% of total)

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

Bogosity

preprocess246.0ms (3.9%)

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))))

explain124.0ms (2%)

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

79.0ms

512×

valid

Compiler

Compiled 91 to 32 computations (64.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

...c/correct-round.rkt:119:19: 14.0ms (44.7% of total)

ival-mult: 7.0ms (22.4% of total)

ival-sub: 6.0ms (19.2% of total)

ival-add: 3.0ms (9.6% of total)

const: 1.0ms (3.2% 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 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
▶	100.0%	(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

Status

Accuracy

Program

▶

100.0%

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

▶

100.0%

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

Compiler

Compiled 24 to 18 computations (25% saved)

simplify140.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

2672×	`sum3-define`
2200×	`fnmadd-define`
1816×	`sum4-define`
1612×	`fnmsub-define`
1576×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	46	55
2	125	55
3	286	52
4	783	52
5	2119	52
6	4676	52
7	7363	52
8	7946	52
0	8023	52

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

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

localize75.0ms (1.2%)

Localize:

Found 8 expressions of interest:

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

58.0ms

256×

valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

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

ival-mult: 5.0ms (26% of total)

...c/correct-round.rkt:119:19: 5.0ms (26% of total)

ival-sub: 4.0ms (20.8% of total)

ival-add: 4.0ms (20.8% of total)

const: 1.0ms (5.2% of total)

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

series9.0ms (0.1%)

Counts

9 → 168

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

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

Calls

42 calls:

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

rewrite449.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3230×	`/-lowering-/.f32`
3230×	`/-lowering-/.f64`
3030×	`-lowering-.f32`
3030×	`-lowering-.f64`
2350×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	126	47
2	1128	47
0	8211	47

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 457

Calls

Call 1

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

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

simplify278.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

2214×	`fma-lowering-fma.f32`
2214×	`fma-lowering-fma.f64`
1922×	`fmsub-define`
1696×	`-lowering-.f32`
1696×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	1102
1	422	1004
2	1379	953
3	4685	941
0	8064	941

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

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

eval84.0ms (1.3%)

Compiler: Compiled 18875 to 1752 computations (90.7% saved)

prune138.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	619	6	625
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	620	7	627

Accuracy

100.0%

Counts

627 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
	74.6%	(+.f64 (-.f64 (.f64 x y) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓	100.0%	(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶	74.6%	(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
▶	56.4%	(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
▶	46.1%	(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
▶	46.1%	(*.f64 x (+.f64 y #s(literal -1 binary64)))

Compiler

Compiled 103 to 78 computations (24.3% saved)

simplify96.0ms (1.5%)

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

Rules

1008×	`fnmadd-define`
904×	`sum5-define`
790×	`sum3-define`
698×	`fmsub-define`
692×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	33	55
2	58	55
3	82	54
4	113	54
5	187	54
6	381	54
7	846	54
8	1953	54
9	2623	54
10	3347	54
11	3509	54
12	3601	54
13	3620	54
0	3620	54

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize101.0ms (1.6%)

Localize:

Found 10 expressions of interest:

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

Results

67.0ms

256×

valid

Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions

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

ival-add: 6.0ms (33.1% of total)

ival-mult: 5.0ms (27.6% of total)

...c/correct-round.rkt:119:19: 5.0ms (27.6% of total)

ival-sub: 1.0ms (5.5% of total)

const: 1.0ms (5.5% of total)

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

series2.0ms (0%)

Counts

8 → 132

Calls

Call 1

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

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

33 calls:

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

rewrite351.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3912×	`-lowering-.f32`
3912×	`-lowering-.f64`
3180×	`/-lowering-/.f32`
3180×	`/-lowering-/.f64`
1694×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	93	32
2	715	32
3	7473	32
0	8370	32

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 376

Calls

Call 1

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

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

simplify216.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2098×	`-lowering-.f32`
2098×	`-lowering-.f64`
1644×	`times-frac`
1484×	`fma-define`
1352×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	564
1	243	527
2	707	506
3	1751	506
4	6546	506
0	8010	506

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

eval86.0ms (1.4%)

Compiler: Compiled 12310 to 1239 computations (89.9% saved)

prune67.0ms (1.1%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	634	4	638
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	635	10	645

Accuracy

100.0%

Counts

645 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.3%	(-.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))
✓	74.6%	(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
▶	46.1%	(+.f64 (.f64 y x) (.f64 y #s(literal -1/2 binary64)))
✓	56.4%	(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
✓	46.1%	(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
▶	21.0%	(*.f64 y x)
▶	27.8%	(*.f64 y #s(literal -1/2 binary64))
✓	46.1%	(*.f64 x (+.f64 y #s(literal -1 binary64)))
▶	30.7%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 68 to 51 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
8×	`fma-lowering-fma.f32`
8×	`fma-define`
8×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
1	13	25
2	19	25
0	19	25

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize53.0ms (0.8%)

Localize:

Found 5 expressions of interest:

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

Results

41.0ms

256×

valid

Compiler

Compiled 30 to 8 computations (73.3% saved)

Precisions

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

...c/correct-round.rkt:119:19: 10.0ms (63.5% of total)

ival-mult: 4.0ms (25.4% of total)

ival-add: 1.0ms (6.3% of total)

const: 0.0ms (0% of total)

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

series27.0ms (0.4%)

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
25.0ms	y	@	-inf	(* y x)
0.0ms	y	@	inf	(+ (* y x) (* y -1/2))
0.0ms	x	@	0	(* y x)
0.0ms	y	@	0	(* y x)
0.0ms	x	@	-inf	(* y x)

rewrite246.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2768×	`-lowering-.f32`
2768×	`-lowering-.f64`
1858×	`sum5-define`
1518×	`fmsub-define`
1518×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	25	11
2	222	11
3	2859	11
0	8124	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 112

Calls

Call 1

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

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

simplify129.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2190×	`sum3-define`
1814×	`fnmadd-define`
1446×	`fmsub-define`
1372×	`sum4-define`
1336×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	222
1	70	222
2	199	222
3	436	222
4	1004	222
5	3193	222
6	7415	222
0	8924	222

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval44.0ms (0.7%)

Compiler: Compiled 3876 to 333 computations (91.4% saved)

prune34.0ms (0.5%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	226	10	236

Accuracy

100.0%

Counts

236 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.3%	(-.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))
✓	74.6%	(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓	46.1%	(+.f64 (.f64 y x) (.f64 y #s(literal -1/2 binary64)))
✓	56.4%	(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
✓	46.1%	(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
✓	21.0%	(*.f64 y x)
✓	27.8%	(*.f64 y #s(literal -1/2 binary64))
✓	46.1%	(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓	30.7%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 138 to 77 computations (44.2% saved)

regimes26.0ms (0.4%)

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

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

Calls

4 calls:

13.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
4.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
4.0ms	x
4.0ms	y

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)

regimes7.0ms (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 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (.f64 y x) (.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
99.3%	3	`x`
97.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.3%)

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
98.9%	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
97.1%	3	`y`
76.5%	4	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 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)
(*.f64 x (+.f64 y #s(literal -1 binary64)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
81.9%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.7%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
51.4%	4	`x`
57.1%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
55.4%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.3%)

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:

17.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
30.7%	1	`x`
30.7%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch86.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
65.0ms	3.1899796386971213e-13	5.663138228822309e+22
17.0ms	-240562851753696.47	-100284.57160570839

Results

71.0ms

320×

valid

Compiler

Compiled 378 to 294 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 48.0ms (80% of total)

...c/correct-round.rkt:119:19: 6.0ms (10% of total)

ival-sub: 4.0ms (6.7% of total)

ival-add: 2.0ms (3.3% of total)

const: 1.0ms (1.7% of total)

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

bsearch53.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	3.1899796386971213e-13	5.663138228822309e+22
27.0ms	-288.39235925188547	-0.35222543294665487

Results

37.0ms

304×

valid

Compiler

Compiled 322 to 261 computations (18.9% saved)

Precisions

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

...c/correct-round.rkt:119:19: 16.0ms (60.2% of total)

ival-sub: 4.0ms (15.1% of total)

ival-mult: 4.0ms (15.1% of total)

ival-add: 2.0ms (7.5% of total)

const: 1.0ms (3.8% of total)

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

bsearch45.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.8048964839408572e-7	47.09704312919929
21.0ms	-860818904045.3041	-0.07562971790836574

Results

26.0ms

304×

valid

Compiler

Compiled 284 to 223 computations (21.5% saved)

Precisions

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

...c/correct-round.rkt:119:19: 6.0ms (38.6% of total)

ival-mult: 4.0ms (25.7% of total)

ival-sub: 3.0ms (19.3% of total)

ival-add: 2.0ms (12.9% of total)

const: 1.0ms (6.4% of total)

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

bsearch59.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
19.0ms	2.2373120573434406e+98	8.721521348549429e+107
13.0ms	2.721427397720152e-8	1.8048964839408572e-7
23.0ms	-860818904045.3041	-0.07562971790836574

Results

41.0ms

400×

valid

Compiler

Compiled 348 to 279 computations (19.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

...c/correct-round.rkt:119:19: 9.0ms (35.9% of total)

ival-sub: 8.0ms (31.9% of total)

ival-mult: 5.0ms (19.9% of total)

ival-add: 2.0ms (8% of total)

const: 1.0ms (4% of total)

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

bsearch78.0ms (1.2%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
19.0ms	2.2373120573434406e+98	8.721521348549429e+107
17.0ms	1.8048964839408572e-7	47.09704312919929
25.0ms	-860818904045.3041	-0.07562971790836574

Results

40.0ms

448×

valid

Compiler

Compiled 354 to 276 computations (22% saved)

Precisions

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

...c/correct-round.rkt:119:19: 8.0ms (33.2% of total)

ival-mult: 7.0ms (29.1% of total)

ival-sub: 5.0ms (20.8% of total)

ival-add: 2.0ms (8.3% of total)

const: 1.0ms (4.2% of total)

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

bsearch81.0ms (1.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
25.0ms	2.2373120573434406e+98	8.721521348549429e+107
17.0ms	1.8048964839408572e-7	47.09704312919929
34.0ms	-860818904045.3041	-0.07562971790836574

Results

61.0ms

448×

valid

Compiler

Compiled 316 to 257 computations (18.7% saved)

Precisions

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

ival-add: 12.0ms (30.4% of total)

ival-sub: 11.0ms (27.8% of total)

...c/correct-round.rkt:119:19: 10.0ms (25.3% of total)

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

const: 1.0ms (2.5% of total)

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

bsearch44.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.8048964839408572e-7	47.09704312919929
21.0ms	-860818904045.3041	-0.07562971790836574

Results

30.0ms

304×

valid

Compiler

Compiled 208 to 185 computations (11.1% saved)

Precisions

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

...c/correct-round.rkt:119:19: 6.0ms (38.8% of total)

ival-mult: 4.0ms (25.9% of total)

ival-sub: 3.0ms (19.4% of total)

ival-add: 2.0ms (12.9% of total)

const: 1.0ms (6.5% of total)

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	152
1	85	152
2	89	152
3	91	152
4	92	152

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 -2400000 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1950000 binary64)) (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -799388933858263/562949953421312 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 2589569785738035/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -920 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 5289050460814003/37778931862957161709568 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 3600000000000000173810541528679449223777605492431435698865688263917593233090081766227106307220963328 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -16 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 3152519739159347/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 499999999999999983668084402058345636924766592903277736458980889735647922960863931304369934227734528 binary64)) (.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -4165829655317709/2251799813685248 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 y #s(literal 2500000000000000004789187714336671840539887818162980027882008786498448310509971889903090362770450808832 binary64)) (.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -4165829655317709/2251799813685248 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 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 -2400000 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 1950000 binary64)) (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (if (<=.f64 x #s(literal 7656119366529843/9007199254740992 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 -799388933858263/562949953421312 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 2589569785738035/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -920 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 5289050460814003/37778931862957161709568 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 3600000000000000173810541528679449223777605492431435698865688263917593233090081766227106307220963328 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -16 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 3152519739159347/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 499999999999999983668084402058345636924766592903277736458980889735647922960863931304369934227734528 binary64)) (.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -4165829655317709/2251799813685248 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 y #s(literal 2500000000000000004789187714336671840539887818162980027882008786498448310509971889903090362770450808832 binary64)) (.f64 y x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -4165829655317709/2251799813685248 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64))))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.3s (20.4%)

Rules

2654×	`sum3-define`
2214×	`fma-lowering-fma.f32`
2214×	`fma-lowering-fma.f64`
2098×	`-lowering-.f32`
2098×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
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	122	1102
1	422	1004
2	1379	953
3	4685	941
0	8064	941
0	76	564
1	243	527
2	707	506
3	1751	506
4	6546	506
0	8010	506

Stop Event

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

Compiler

Compiled 537 to 337 computations (37.2% saved)

preprocess70.0ms (1.1%)

Compiler: Compiled 362 to 144 computations (60.2% saved)

analyze0.0ms (0%)

sample1.4s (21.9%)

preprocess246.0ms (3.9%)

explain124.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify140.0ms (2.2%)

localize75.0ms (1.2%)

series9.0ms (0.1%)

rewrite449.0ms (7.2%)

simplify278.0ms (4.4%)

eval84.0ms (1.3%)

prune138.0ms (2.2%)

simplify96.0ms (1.5%)

localize101.0ms (1.6%)

series2.0ms (0%)

rewrite351.0ms (5.6%)

simplify216.0ms (3.5%)

eval86.0ms (1.4%)

prune67.0ms (1.1%)

simplify5.0ms (0.1%)

localize53.0ms (0.8%)

series27.0ms (0.4%)

rewrite246.0ms (3.9%)

simplify129.0ms (2.1%)

eval44.0ms (0.7%)

prune34.0ms (0.5%)

regimes26.0ms (0.4%)

regimes7.0ms (0.1%)

regimes16.0ms (0.3%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes18.0ms (0.3%)

bsearch86.0ms (1.4%)

bsearch53.0ms (0.8%)

bsearch45.0ms (0.7%)

bsearch59.0ms (0.9%)

bsearch78.0ms (1.2%)

bsearch81.0ms (1.3%)

bsearch44.0ms (0.7%)

simplify12.0ms (0.2%)

soundness1.3s (20.4%)

preprocess70.0ms (1.1%)

end0.0ms (0%)

Profiling