Metrics for Text.Parsec.Token:makeTokenParser from parsec-3.1.9, 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 8 to 6 computations (25% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample524.0ms (6.3%)

Results

343.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-div: 63.0ms (47.2% of total)

ival-add: 58.0ms (43.4% of total)

const: 10.0ms (7.5% of total)

backward-pass: 3.0ms (2.2% of total)

Bogosity

preprocess24.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

82×	`sub-neg`
70×	`div-sub`
48×	`associate-/l*`
48×	`distribute-rgt-in`
40×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	36	30
2	67	30
3	140	30
4	348	30
5	527	30
6	559	30
7	580	30
0	5	5
1	6	5
0	6	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (+ x y) 10)

Outputs
(/ (+ x y) 10)
(/.f64 (+.f64 x y) #s(literal 10 binary64))

Call 2

Inputs
(/ (+ x y) 10)
(/ (+ (neg x) y) 10)
(/ (+ x (neg y)) 10)
(neg (/ (+ (neg x) y) 10))
(neg (/ (+ x (neg y)) 10))
(/ (+ y x) 10)

Outputs
(/ (+ x y) 10)
(* (+ x y) 1/10)
(/ (+ (neg x) y) 10)
(* (- y x) 1/10)
(/ (+ x (neg y)) 10)
(* (- y x) -1/10)
(neg (/ (+ (neg x) y) 10))
(* (- y x) -1/10)
(neg (/ (+ x (neg y)) 10))
(* (- y x) 1/10)
(/ (+ y x) 10)
(* (+ x y) 1/10)

Symmetry

(sort x y)

explain77.0ms (0.9%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (+.f64 x y) #s(literal 10 binary64))`
-	-	`x`
-	-	`#s(literal 10 binary64)`
-	-	`(+.f64 x y)`
-	-	`y`

Results

62.0ms

512×

valid

Compiler

Compiled 35 to 19 computations (45.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-add: 36.0ms (87.5% of total)

ival-div: 4.0ms (9.7% of total)

const: 1.0ms (2.4% of total)

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 x y) #s(literal 10 binary64))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize48.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) #s(literal 10 binary64))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) #s(literal 10 binary64))

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	6	11
0	6	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ x y) 10)
(+ x y)
x
y
10

Outputs
(/ (+ x y) 10)
(/.f64 (+.f64 x y) #s(literal 10 binary64))
(+ x y)
(+.f64 x y)
x
y
10
#s(literal 10 binary64)

Results

12.0ms

256×

valid

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

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

ival-div: 2.0ms (50.1% of total)

ival-add: 2.0ms (50.1% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (/ (+ x y) 10)>
#<alt (+ x y)>

Outputs
#<alt (* 1/10 y)>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (* 1/10 x)>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* 1/10 x)>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* 1/10 x)>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (* 1/10 y)>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* 1/10 y)>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ (+ x y) 10)
0.0ms	x	@	-inf	(/ (+ x y) 10)
0.0ms	y	@	inf	(/ (+ x y) 10)
0.0ms	x	@	inf	(+ x y)
0.0ms	x	@	0	(/ (+ x y) 10)

rewrite661.0ms (7.9%)

Algorithm

1×	batch-egg-rewrite

Rules

5140×	`/-lowering-/.f32`
5140×	`/-lowering-/.f64`
3858×	`accelerator-lowering-fma.f32`
3858×	`accelerator-lowering-fma.f64`
3450×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	29	8
2	181	8
3	1731	8
0	8189	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 371

Calls

Call 1

Inputs
(/ (+ x y) 10)
(+ x y)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) #s(literal 10 binary64)))
(+.f64 (/.f64 (/.f64 (.f64 x x) (-.f64 x y)) #s(literal 10 binary64)) (neg.f64 (/.f64 (/.f64 (.f64 y y) (-.f64 x y)) #s(literal 10 binary64))))
(+.f64 (/.f64 (.f64 x x) (.f64 #s(literal 10 binary64) (-.f64 x y))) (neg.f64 (/.f64 (.f64 y y) (.f64 #s(literal 10 binary64) (-.f64 x y)))))
(+.f64 (.f64 #s(literal 1/10 binary64) x) (.f64 #s(literal 1/10 binary64) y))
(+.f64 (.f64 #s(literal 1/10 binary64) y) (.f64 #s(literal 1/10 binary64) x))
(+.f64 (.f64 x #s(literal 1/10 binary64)) (.f64 y #s(literal 1/10 binary64)))
(+.f64 (.f64 y #s(literal 1/10 binary64)) (.f64 x #s(literal 1/10 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 10 binary64) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) #s(literal -10 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 x y) #s(literal -10 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (-.f64 x y)) #s(literal 10 binary64)) (/.f64 (/.f64 (.f64 y y) (-.f64 x y)) #s(literal 10 binary64)))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal 10 binary64) (-.f64 x y))) (/.f64 (.f64 y y) (.f64 #s(literal 10 binary64) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (.f64 y y) (-.f64 y x)) #s(literal 10 binary64)) (/.f64 (/.f64 (.f64 x x) (-.f64 y x)) #s(literal 10 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) (/.f64 x #s(literal -10 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -10 binary64)) (/.f64 y #s(literal -10 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (-.f64 x y))) #s(literal -10 binary64)) (/.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) #s(literal -10 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 #s(literal 10 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 #s(literal 10 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))))) (.f64 #s(literal 10 binary64) (-.f64 x y))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))))) (.f64 #s(literal 10 binary64) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) (.f64 #s(literal 10 binary64) (-.f64 x y))) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 (.f64 x x) (.f64 y y))) (.f64 #s(literal 10 binary64) (-.f64 x y))))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (.f64 y y) (.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))))) (.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))))) (.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 y y))) (.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (+.f64 (.f64 x x) (.f64 y y))) (.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 10 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 10 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -10 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))) (/.f64 (+.f64 x y) #s(literal -10 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 10 binary64) (-.f64 x y)))) (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 10 binary64) (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -10 binary64) (-.f64 x y))) (/.f64 (+.f64 x y) #s(literal -10 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 10 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 #s(literal 10 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 10 binary64) (-.f64 x y)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y)))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 #s(literal 10 binary64) (-.f64 x y)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y)))))))
(-.f64 (/.f64 (.f64 y y) (.f64 #s(literal 10 binary64) (-.f64 y x))) (/.f64 (.f64 x x) (.f64 #s(literal 10 binary64) (-.f64 y x))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 #s(literal 10 binary64) (-.f64 x y)) (+.f64 (.f64 x x) (.f64 y y)))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 #s(literal 10 binary64) (-.f64 x y)) (+.f64 (.f64 x x) (.f64 y y)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 x x) (-.f64 x y)) #s(literal 10 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (.f64 y y) (-.f64 x y)) #s(literal 10 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 #s(literal 10 binary64) (-.f64 x y))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 y y) (.f64 #s(literal 10 binary64) (-.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/10 binary64) (*.f64 y #s(literal 1/10 binary64)))
(fma.f64 y #s(literal 1/10 binary64) (*.f64 x #s(literal 1/10 binary64)))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 10 binary64) (-.f64 x y))) (neg.f64 (/.f64 (.f64 y y) (.f64 #s(literal 10 binary64) (-.f64 x y)))))
(fma.f64 #s(literal 1/10 binary64) x (*.f64 #s(literal 1/10 binary64) y))
(fma.f64 #s(literal 1/10 binary64) y (*.f64 #s(literal 1/10 binary64) x))
(fma.f64 (/.f64 (.f64 x x) (-.f64 x y)) #s(literal 1/10 binary64) (neg.f64 (/.f64 (/.f64 (.f64 y y) (-.f64 x y)) #s(literal 10 binary64))))
(neg.f64 (/.f64 (+.f64 x y) #s(literal -10 binary64)))
(/.f64 (+.f64 x y) #s(literal 10 binary64))
(/.f64 (/.f64 (+.f64 x y) #s(literal 10 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) #s(literal -10 binary64))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(literal 10 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 (.f64 x x) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -10 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -10 binary64) (-.f64 x y)) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 10 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 10 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 10 binary64) (-.f64 x y)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 10 binary64) (-.f64 y x)) (-.f64 (.f64 y y) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 10 binary64) (-.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 y (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))) (.f64 #s(literal 1/10 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y)) (.f64 #s(literal 1/10 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (*.f64 y y))))))
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(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 #s(literal 0 binary64) (+.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 y y) (-.f64 y x))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x))) (.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y)))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) (/.f64 (+.f64 x y) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y)))
(.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (-.f64 (.f64 x x) (*.f64 y y)))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (+.f64 (.f64 x x) (*.f64 y y)))))))
(.f64 (-.f64 (.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (+.f64 (.f64 x x) (.f64 y y)))))
(.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (-.f64 x y))))
(.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))))
(.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))))
(.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y)))) (-.f64 x y))))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x x) (*.f64 y y)) (-.f64 x y))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 y x))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)))) (.f64 (/.f64 (.f64 y y) (-.f64 x y)) (.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y))) (+.f64 (.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y))) (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))))))
(.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y))) (.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))
(.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x)))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 y (.f64 y y)))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y y))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x)))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 (-.f64 y x) (.f64 y (-.f64 y x)))))) (-.f64 (.f64 x x) (*.f64 y (-.f64 y x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y y) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (*.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y y))))

simplify868.0ms (10.4%)

Algorithm

1×	egg-herbie

Rules

17664×	`accelerator-lowering-fma.f32`
17664×	`accelerator-lowering-fma.f64`
2856×	`+-lowering-+.f64`
2856×	`+-lowering-+.f32`
2768×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	168
1	115	168
2	264	168
3	783	168
4	1834	168
5	2668	168
6	3340	168
7	3639	168
8	3801	168
9	3837	168
10	6026	168
0	8686	168

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 1/10 y)
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(* 1/10 x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* 1/10 x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* 1/10 x)
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(* 1/10 y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* 1/10 y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 y x))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

eval171.0ms (2%)

Compiler: Compiled 11599 to 2901 computations (75% saved)

prune61.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	414	5	419
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	414	6	420

Accuracy

100.0%

Counts

420 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) #s(literal 10 binary64))
▶	54.3%	(/.f64 y #s(literal 10 binary64))
▶	46.8%	(/.f64 x #s(literal 10 binary64))
▶	100.0%	(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) (/.f64 x #s(literal -10 binary64)))
▶	99.1%	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (.f64 #s(literal 10 binary64) (-.f64 x y))))
▶	54.1%	(*.f64 #s(literal 1/10 binary64) y)

Compiler

Compiled 89 to 63 computations (29.2% saved)

localize1.1s (12.8%)

Algorithm

1×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	512	(/.f64 (-.f64 x y) (*.f64 #s(literal 10 binary64) (-.f64 x y)))
✓	cost-diff	512	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (.f64 #s(literal 10 binary64) (-.f64 x y))))
✓	cost-diff	0	(/.f64 y #s(literal 10 binary64))
✓	cost-diff	0	(/.f64 x #s(literal 10 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/10 binary64) y)
✓	cost-diff	0	(/.f64 x #s(literal -10 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) y)
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64))
✓	cost-diff	256	(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) (/.f64 x #s(literal -10 binary64)))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	99.8%	(*.f64 #s(literal 10 binary64) (-.f64 x y))
✓	accuracy	99.5%	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (.f64 #s(literal 10 binary64) (-.f64 x y))))
✓	accuracy	99.0%	(/.f64 (-.f64 x y) (*.f64 #s(literal 10 binary64) (-.f64 x y)))
✓	accuracy	100.0%	(/.f64 y #s(literal 10 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal 10 binary64))
✓	accuracy	99.5%	(*.f64 #s(literal 1/10 binary64) y)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal -10 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) y)
✓	accuracy	100.0%	(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) (/.f64 x #s(literal -10 binary64)))

Rules

14700×	`accelerator-lowering-fma.f32`
14700×	`accelerator-lowering-fma.f64`
3194×	`-lowering-.f32`
3194×	`-lowering-.f64`
2746×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	54
1	38	54
2	105	49
3	288	45
4	865	45
5	3948	45
0	8198	45

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (/ (- 0 y) -10) (/ x -10))
(/ (- 0 y) -10)
(- 0 y)
0
y
-10
(/ x -10)
x
(* 1/10 y)
1/10
(/ x 10)
10
(/ y 10)
(* (+ x y) (/ (- x y) (* 10 (- x y))))
(+ x y)
(/ (- x y) (* 10 (- x y)))
(- x y)
(* 10 (- x y))

Outputs
(- (/ (- 0 y) -10) (/ x -10))
(/.f64 (+.f64 y x) #s(literal 10 binary64))
(/ (- 0 y) -10)
(/.f64 y #s(literal 10 binary64))
(- 0 y)
(-.f64 #s(literal 0 binary64) y)
0
#s(literal 0 binary64)
y
-10
#s(literal -10 binary64)
(/ x -10)
(/.f64 x #s(literal -10 binary64))
x
(* 1/10 y)
(/.f64 y #s(literal 10 binary64))
1/10
#s(literal 1/10 binary64)
(/ x 10)
(/.f64 x #s(literal 10 binary64))
10
#s(literal 10 binary64)
(/ y 10)
(/.f64 y #s(literal 10 binary64))
(* (+ x y) (/ (- x y) (* 10 (- x y))))
(/.f64 (+.f64 y x) #s(literal 10 binary64))
(+ x y)
(+.f64 y x)
(/ (- x y) (* 10 (- x y)))
#s(literal 1/10 binary64)
(- x y)
(-.f64 x y)
(* 10 (- x y))
(*.f64 #s(literal -10 binary64) (-.f64 y x))

Results

123.0ms	220×	0	valid
7.0ms	14×	1	valid
8.0ms	11×	2	valid
19.0ms	11×	3	valid

Compiler

Compiled 78 to 41 computations (47.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-div: 66.0ms (56% of total)

ival-sub: 33.0ms (28% of total)

ival-mult: 11.0ms (9.3% of total)

backward-pass: 5.0ms (4.2% of total)

const: 2.0ms (1.7% of total)

ival-add: 2.0ms (1.7% of total)

series17.0ms (0.2%)

Counts

12 → 216

Calls

Call 1

Inputs
#<alt (- (/ (- 0 y) -10) (/ x -10))>
#<alt (- 0 y)>
#<alt (/ x -10)>
#<alt (/ (- 0 y) -10)>
#<alt (* 1/10 y)>
#<alt (/ x 10)>
#<alt (/ y 10)>
#<alt (/ (- x y) (* 10 (- x y)))>
#<alt (* (+ x y) (/ (- x y) (* 10 (- x y))))>
#<alt (* 10 (- x y))>
#<alt (+ x y)>
#<alt (- x y)>

Outputs
#<alt (* 1/10 x)>
#<alt (- (* 1/10 y) (* -1/10 x))>
#<alt (- (* 1/10 y) (* -1/10 x))>
#<alt (- (* 1/10 y) (* -1/10 x))>
#<alt (* 1/10 y)>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* 1/10 y)>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* 1/10 y)>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (* 1/10 x)>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* 1/10 x)>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt 1/10>
#<alt (* 1/10 y)>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (* 1/10 x)>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* 1/10 x)>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* 1/10 x)>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (* 1/10 y)>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* 1/10 y)>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -10 y)>
#<alt (+ (* -10 y) (* 10 x))>
#<alt (+ (* -10 y) (* 10 x))>
#<alt (+ (* -10 y) (* 10 x))>
#<alt (* 10 x)>
#<alt (* x (+ 10 (* -10 (/ y x))))>
#<alt (* x (+ 10 (* -10 (/ y x))))>
#<alt (* x (+ 10 (* -10 (/ y x))))>
#<alt (* 10 x)>
#<alt (* -1 (* x (- (* 10 (/ y x)) 10)))>
#<alt (* -1 (* x (- (* 10 (/ y x)) 10)))>
#<alt (* -1 (* x (- (* 10 (/ y x)) 10)))>
#<alt (* 10 x)>
#<alt (+ (* -10 y) (* 10 x))>
#<alt (+ (* -10 y) (* 10 x))>
#<alt (+ (* -10 y) (* 10 x))>
#<alt (* -10 y)>
#<alt (* y (- (* 10 (/ x y)) 10))>
#<alt (* y (- (* 10 (/ x y)) 10))>
#<alt (* y (- (* 10 (/ x y)) 10))>
#<alt (* -10 y)>
#<alt (* -1 (* y (+ 10 (* -10 (/ x y)))))>
#<alt (* -1 (* y (+ 10 (* -10 (/ x y)))))>
#<alt (* -1 (* y (+ 10 (* -10 (/ x y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>

Calls

54 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ x -10)
0.0ms	y	@	0	(- (/ (- 0 y) -10) (/ x -10))
0.0ms	x	@	0	(- (/ (- 0 y) -10) (/ x -10))
0.0ms	x	@	inf	(/ x -10)
0.0ms	x	@	0	(* 10 (- x y))

rewrite589.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5410×	`/-lowering-/.f32`
5410×	`/-lowering-/.f64`
4586×	`-lowering-.f32`
4586×	`-lowering-.f64`
2534×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	116	48
2	1171	48
0	8221	48

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 788

Calls

Call 1

Inputs
(- (/ (- 0 y) -10) (/ x -10))
(- 0 y)
(/ x -10)
(/ (- 0 y) -10)
(* 1/10 y)
(/ x 10)
(/ y 10)
(/ (- x y) (* 10 (- x y)))
(* (+ x y) (/ (- x y) (* 10 (- x y))))
(* 10 (- x y))
(+ x y)
(- x y)

Outputs
(+.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal 10 binary64)))
(+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal 10 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 10 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y #s(literal -10 binary64)) (/.f64 x #s(literal -10 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 y x) #s(literal -10 binary64)))
(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) #s(literal 100 binary64)) (/.f64 (.f64 #s(literal -10 binary64) x) #s(literal 100 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 1000 binary64)) (+.f64 (/.f64 (.f64 y y) #s(literal 100 binary64)) (.f64 (/.f64 x #s(literal -10 binary64)) (.f64 #s(literal -1/10 binary64) (-.f64 x y))))) (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1000 binary64)) (+.f64 (/.f64 (.f64 y y) #s(literal 100 binary64)) (.f64 (/.f64 x #s(literal -10 binary64)) (.f64 #s(literal -1/10 binary64) (-.f64 x y))))))
(-.f64 (.f64 #s(literal -1/10 binary64) (/.f64 (.f64 y y) (-.f64 x y))) (/.f64 (/.f64 (.f64 x x) #s(literal 100 binary64)) (.f64 #s(literal -1/10 binary64) (-.f64 x y))))
(-.f64 (/.f64 (.f64 y #s(literal -10 binary64)) #s(literal -100 binary64)) (/.f64 (.f64 #s(literal 10 binary64) x) #s(literal -100 binary64)))
(-.f64 (/.f64 (.f64 y #s(literal 10 binary64)) #s(literal 100 binary64)) (/.f64 (.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 100 binary64)))
(-.f64 (/.f64 (.f64 y (/.f64 #s(literal -10 binary64) x)) (.f64 #s(literal 10 binary64) (/.f64 #s(literal -10 binary64) x))) (/.f64 #s(literal 10 binary64) (*.f64 #s(literal 10 binary64) (/.f64 #s(literal -10 binary64) x))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 10 binary64)) #s(literal -100 binary64)) (/.f64 (.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -100 binary64)))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -10 binary64) x)) (.f64 #s(literal -10 binary64) (/.f64 #s(literal -10 binary64) x))) (/.f64 #s(literal -10 binary64) (*.f64 #s(literal -10 binary64) (/.f64 #s(literal -10 binary64) x))))
(-.f64 (/.f64 #s(literal -10 binary64) (.f64 (/.f64 #s(literal 10 binary64) y) #s(literal -10 binary64))) (/.f64 (.f64 (/.f64 #s(literal 10 binary64) y) x) (*.f64 (/.f64 #s(literal 10 binary64) y) #s(literal -10 binary64))))
(-.f64 (/.f64 #s(literal 10 binary64) (.f64 (/.f64 #s(literal 10 binary64) y) #s(literal 10 binary64))) (/.f64 (.f64 (/.f64 #s(literal 10 binary64) y) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal 10 binary64) y) #s(literal 10 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -10 binary64) x)) (.f64 (/.f64 #s(literal 10 binary64) y) (/.f64 #s(literal -10 binary64) x))) (/.f64 (.f64 (/.f64 #s(literal 10 binary64) y) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 10 binary64) y) (/.f64 #s(literal -10 binary64) x))))
(-.f64 (/.f64 (/.f64 (.f64 y y) #s(literal 100 binary64)) (/.f64 (-.f64 y x) #s(literal 10 binary64))) (/.f64 (/.f64 (.f64 x x) #s(literal 100 binary64)) (/.f64 (-.f64 y x) #s(literal 10 binary64))))
(fma.f64 y #s(literal 1/10 binary64) (/.f64 x #s(literal 10 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/10 binary64) (/.f64 x #s(literal 10 binary64)))
(fma.f64 x #s(literal 1/10 binary64) (/.f64 y #s(literal 10 binary64)))
(fma.f64 #s(literal 1/10 binary64) y (/.f64 x #s(literal 10 binary64)))
(fma.f64 #s(literal 1/10 binary64) x (/.f64 y #s(literal 10 binary64)))
(fma.f64 #s(literal 1/10 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 x #s(literal 10 binary64)))
(fma.f64 #s(literal 1/10 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y #s(literal 10 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/10 binary64) (/.f64 y #s(literal 10 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal 10 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal 10 binary64)))
(fma.f64 #s(literal -1/10 binary64) (-.f64 #s(literal 0 binary64) y) (/.f64 x #s(literal 10 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -10 binary64)) (/.f64 y #s(literal 10 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal 10 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x #s(literal 10 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 10 binary64)))
(fma.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (.f64 y y)) y) (/.f64 #s(literal -1/10 binary64) y) (/.f64 x #s(literal 10 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal -1/10 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 x #s(literal 10 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal -10 binary64))
(/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) (.f64 #s(literal 10 binary64) x)) #s(literal 100 binary64))
(/.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 1000 binary64)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1000 binary64))) (+.f64 (/.f64 (.f64 y y) #s(literal 100 binary64)) (.f64 (/.f64 x #s(literal -10 binary64)) (*.f64 #s(literal -1/10 binary64) (-.f64 x y)))))
(/.f64 (+.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 1000 binary64)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1000 binary64))) (+.f64 (/.f64 (.f64 y y) #s(literal 100 binary64)) (-.f64 (/.f64 (.f64 x x) #s(literal 100 binary64)) (*.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal 10 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -10 binary64) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -10 binary64) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) (-.f64 y (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -100 binary64) (-.f64 (.f64 y #s(literal -10 binary64)) (.f64 #s(literal 10 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 100 binary64) (-.f64 (.f64 y #s(literal 10 binary64)) (.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 10 binary64) (/.f64 #s(literal -10 binary64) x)) (-.f64 (.f64 y (/.f64 #s(literal -10 binary64) x)) #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -100 binary64) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 10 binary64)) (.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -10 binary64) (/.f64 #s(literal -10 binary64) x)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -10 binary64) x)) #s(literal -10 binary64))))
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(.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))
(.f64 (/.f64 (+.f64 y x) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))))
(.f64 (/.f64 (+.f64 y x) (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (/.f64 (-.f64 x y) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x)))))
(.f64 (/.f64 (+.f64 y x) (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))) (/.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (/.f64 (-.f64 x y) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))))
(.f64 (/.f64 (-.f64 x y) (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (/.f64 (+.f64 y x) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x)))))
(.f64 (/.f64 (-.f64 x y) (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))) (/.f64 (+.f64 y x) (+.f64 y x)))

simplify472.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

4312×	`accelerator-lowering-fma.f32`
4312×	`accelerator-lowering-fma.f64`
2512×	`-lowering-.f32`
2512×	`-lowering-.f64`
2268×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	711
1	215	711
2	543	711
3	1465	675
4	3201	675
5	4624	675
6	5805	675
7	6651	675
8	7093	675
9	7340	675
0	8200	675

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* 1/10 x)
(- (* 1/10 y) (* -1/10 x))
(- (* 1/10 y) (* -1/10 x))
(- (* 1/10 y) (* -1/10 x))
(* 1/10 y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* 1/10 y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* 1/10 y)
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(* 1/10 x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* 1/10 x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
1/10
1/10
1/10
1/10
1/10
1/10
1/10
1/10
1/10
1/10
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1/10
1/10
1/10
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1/10
1/10
1/10
1/10
1/10
1/10
1/10
1/10
(* 1/10 y)
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(* 1/10 x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* 1/10 x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* 1/10 x)
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(* 1/10 y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* 1/10 y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -10 y)
(+ (* -10 y) (* 10 x))
(+ (* -10 y) (* 10 x))
(+ (* -10 y) (* 10 x))
(* 10 x)
(* x (+ 10 (* -10 (/ y x))))
(* x (+ 10 (* -10 (/ y x))))
(* x (+ 10 (* -10 (/ y x))))
(* 10 x)
(* -1 (* x (- (* 10 (/ y x)) 10)))
(* -1 (* x (- (* 10 (/ y x)) 10)))
(* -1 (* x (- (* 10 (/ y x)) 10)))
(* 10 x)
(+ (* -10 y) (* 10 x))
(+ (* -10 y) (* 10 x))
(+ (* -10 y) (* 10 x))
(* -10 y)
(* y (- (* 10 (/ x y)) 10))
(* y (- (* 10 (/ x y)) 10))
(* y (- (* 10 (/ x y)) 10))
(* -10 y)
(* -1 (* y (+ 10 (* -10 (/ x y)))))
(* -1 (* y (+ 10 (* -10 (/ x y)))))
(* -1 (* y (+ 10 (* -10 (/ x y)))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Outputs
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(- (* 1/10 y) (* -1/10 x))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(- (* 1/10 y) (* -1/10 x))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(- (* 1/10 y) (* -1/10 x))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
1/10
#s(literal 1/10 binary64)
1/10
#s(literal 1/10 binary64)
1/10
#s(literal 1/10 binary64)
1/10
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1/10
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1/10
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1/10
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1/10
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1/10
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1/10
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1/10
#s(literal 1/10 binary64)
1/10
#s(literal 1/10 binary64)
1/10
#s(literal 1/10 binary64)
1/10
#s(literal 1/10 binary64)
1/10
#s(literal 1/10 binary64)
1/10
#s(literal 1/10 binary64)
1/10
#s(literal 1/10 binary64)
1/10
#s(literal 1/10 binary64)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(+ (* -10 y) (* 10 x))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(+ (* -10 y) (* 10 x))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(+ (* -10 y) (* 10 x))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* x (+ 10 (* -10 (/ y x))))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(* x (+ 10 (* -10 (/ y x))))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(* x (+ 10 (* -10 (/ y x))))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* -1 (* x (- (* 10 (/ y x)) 10)))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(* -1 (* x (- (* 10 (/ y x)) 10)))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(* -1 (* x (- (* 10 (/ y x)) 10)))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(+ (* -10 y) (* 10 x))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(+ (* -10 y) (* 10 x))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(+ (* -10 y) (* 10 x))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(* y (- (* 10 (/ x y)) 10))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(* y (- (* 10 (/ x y)) 10))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(* y (- (* 10 (/ x y)) 10))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(* -1 (* y (+ 10 (* -10 (/ x y)))))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(* -1 (* y (+ 10 (* -10 (/ x y)))))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
(* -1 (* y (+ 10 (* -10 (/ x y)))))
(*.f64 #s(literal -10 binary64) (-.f64 y x))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

eval184.0ms (2.2%)

Compiler: Compiled 22055 to 8814 computations (60% saved)

prune197.0ms (2.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1072	2	1074
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	1073	7	1080

Accuracy

100.0%

Counts

1080 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f64 (-.f64 (.f64 y #s(literal -10 binary64)) (.f64 #s(literal 10 binary64) x)) #s(literal -100 binary64))
✓	100.0%	(/.f64 (+.f64 x y) #s(literal 10 binary64))
✓	54.3%	(/.f64 y #s(literal 10 binary64))
✓	46.8%	(/.f64 x #s(literal 10 binary64))
▶	100.0%	(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))
✓	99.1%	(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (.f64 #s(literal 10 binary64) (-.f64 x y))))
✓	54.1%	(*.f64 #s(literal 1/10 binary64) y)

Compiler

Compiled 57 to 41 computations (28.1% saved)

localize377.0ms (4.5%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 10 binary64) x)
✓	cost-diff	0	(*.f64 y #s(literal -10 binary64))
✓	cost-diff	128	(-.f64 (.f64 y #s(literal -10 binary64)) (.f64 #s(literal 10 binary64) x))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 y #s(literal -10 binary64)) (.f64 #s(literal 10 binary64) x)) #s(literal -100 binary64))
✓	cost-diff	0	(/.f64 x #s(literal -10 binary64))
✓	cost-diff	0	(/.f64 y #s(literal 10 binary64))
✓	cost-diff	128	(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal -10 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 10 binary64) x)
✓	accuracy	99.9%	(-.f64 (.f64 y #s(literal -10 binary64)) (.f64 #s(literal 10 binary64) x))
✓	accuracy	99.2%	(/.f64 (-.f64 (.f64 y #s(literal -10 binary64)) (.f64 #s(literal 10 binary64) x)) #s(literal -100 binary64))
✓	accuracy	100.0%	(/.f64 y #s(literal 10 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal -10 binary64))
✓	accuracy	100.0%	(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))

Rules

720×	`accelerator-lowering-fma.f32`
720×	`accelerator-lowering-fma.f64`
432×	`-lowering-.f32`
432×	`-lowering-.f64`
232×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	24	36
2	54	36
3	93	36
4	155	36
5	227	36
6	358	32
7	544	32
8	781	32
9	953	32
10	1001	32
0	1001	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (/ y 10) (/ x -10))
(/ y 10)
y
10
(/ x -10)
x
-10
(/ (- (* y -10) (* 10 x)) -100)
(- (* y -10) (* 10 x))
(* y -10)
(* 10 x)
-100

Outputs
(- (/ y 10) (/ x -10))
(*.f64 (+.f64 y x) #s(literal 1/10 binary64))
(/ y 10)
(/.f64 y #s(literal 10 binary64))
y
10
#s(literal 10 binary64)
(/ x -10)
(*.f64 x #s(literal -1/10 binary64))
x
-10
#s(literal -10 binary64)
(/ (- (* y -10) (* 10 x)) -100)
(*.f64 (+.f64 y x) #s(literal 1/10 binary64))
(- (* y -10) (* 10 x))
(*.f64 #s(literal -10 binary64) (+.f64 y x))
(* y -10)
(*.f64 y #s(literal -10 binary64))
(* 10 x)
(*.f64 #s(literal 10 binary64) x)
-100
#s(literal -100 binary64)

Results

47.0ms	240×	0	valid
5.0ms	7×	2	valid
2.0ms	5×	1	valid
2.0ms	4×	3	valid

Compiler

Compiled 47 to 33 computations (29.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 14.0ms (39.1% of total)

ival-mult: 14.0ms (39.1% of total)

ival-sub: 4.0ms (11.2% of total)

const: 2.0ms (5.6% of total)

backward-pass: 2.0ms (5.6% of total)

series11.0ms (0.1%)

Counts

7 → 120

Calls

Call 1

Inputs
#<alt (- (/ y 10) (/ x -10))>
#<alt (/ x -10)>
#<alt (/ y 10)>
#<alt (/ (- (* y -10) (* 10 x)) -100)>
#<alt (- (* y -10) (* 10 x))>
#<alt (* 10 x)>
#<alt (* y -10)>

Outputs
#<alt (* 1/10 x)>
#<alt (- (* 1/10 y) (* -1/10 x))>
#<alt (- (* 1/10 y) (* -1/10 x))>
#<alt (- (* 1/10 y) (* -1/10 x))>
#<alt (* 1/10 y)>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* 1/10 y)>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* 1/10 y)>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (* 1/10 x)>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* 1/10 x)>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* -1/10 x)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 y)>
#<alt (* 1/10 x)>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (* 1/10 y)>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* 1/10 y)>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* 1/10 y)>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (* 1/10 x)>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* 1/10 x)>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -10 x)>
#<alt (- (* -10 y) (* 10 x))>
#<alt (- (* -10 y) (* 10 x))>
#<alt (- (* -10 y) (* 10 x))>
#<alt (* -10 y)>
#<alt (* y (- (* -10 (/ x y)) 10))>
#<alt (* y (- (* -10 (/ x y)) 10))>
#<alt (* y (- (* -10 (/ x y)) 10))>
#<alt (* -10 y)>
#<alt (* -1 (* y (+ 10 (* 10 (/ x y)))))>
#<alt (* -1 (* y (+ 10 (* 10 (/ x y)))))>
#<alt (* -1 (* y (+ 10 (* 10 (/ x y)))))>
#<alt (* -10 y)>
#<alt (+ (* -10 x) (* -10 y))>
#<alt (+ (* -10 x) (* -10 y))>
#<alt (+ (* -10 x) (* -10 y))>
#<alt (* -10 x)>
#<alt (* x (- (* -10 (/ y x)) 10))>
#<alt (* x (- (* -10 (/ y x)) 10))>
#<alt (* x (- (* -10 (/ y x)) 10))>
#<alt (* -10 x)>
#<alt (* -1 (* x (+ 10 (* 10 (/ y x)))))>
#<alt (* -1 (* x (+ 10 (* 10 (/ y x)))))>
#<alt (* -1 (* x (+ 10 (* 10 (/ y x)))))>
#<alt (* 10 x)>
#<alt (* 10 x)>
#<alt (* 10 x)>
#<alt (* 10 x)>
#<alt (* 10 x)>
#<alt (* 10 x)>
#<alt (* 10 x)>
#<alt (* 10 x)>
#<alt (* 10 x)>
#<alt (* 10 x)>
#<alt (* 10 x)>
#<alt (* 10 x)>
#<alt (* -10 y)>
#<alt (* -10 y)>
#<alt (* -10 y)>
#<alt (* -10 y)>
#<alt (* -10 y)>
#<alt (* -10 y)>
#<alt (* -10 y)>
#<alt (* -10 y)>
#<alt (* -10 y)>
#<alt (* -10 y)>
#<alt (* -10 y)>
#<alt (* -10 y)>

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* 10 x)
0.0ms	y	@	0	(/ (- (* y -10) (* 10 x)) -100)
0.0ms	x	@	0	(/ (- (* y -10) (* 10 x)) -100)
0.0ms	y	@	inf	(/ (- (* y -10) (* 10 x)) -100)
0.0ms	x	@	-inf	(* 10 x)

rewrite589.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

6548×	`accelerator-lowering-fma.f32`
6548×	`accelerator-lowering-fma.f64`
5194×	`-lowering-.f32`
5194×	`-lowering-.f64`
3592×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	75	29
2	666	27
0	8747	27

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 729

Calls

Call 1

Inputs
(- (/ y 10) (/ x -10))
(/ x -10)
(/ y 10)
(/ (- (* y -10) (* 10 x)) -100)
(- (* y -10) (* 10 x))
(* 10 x)
(* y -10)

Outputs
(+.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal 10 binary64)))
(+.f64 (/.f64 y #s(literal 10 binary64)) (*.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 y #s(literal 10 binary64)) (.f64 #s(literal -1/100 binary64) (.f64 x #s(literal -10 binary64))))
(+.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal 10 binary64)))
(+.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 1000 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)))) (neg.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1000 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x))))))
(+.f64 (/.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (-.f64 y x) #s(literal 10 binary64))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 100 binary64) x)) (/.f64 (-.f64 y x) #s(literal 10 binary64)))))
(+.f64 (*.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1 binary64)) (/.f64 y #s(literal 10 binary64)))
(+.f64 (.f64 #s(literal -1/100 binary64) (.f64 x #s(literal -10 binary64))) (/.f64 y #s(literal 10 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 10 binary64) (+.f64 y x))) #s(literal -1 binary64)))
(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))
(-.f64 (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal -10 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -10 binary64) (+.f64 y x)) #s(literal 100 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x #s(literal -10 binary64)) (/.f64 y #s(literal 10 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 1000 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)))) (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal -1000 binary64)) (+.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (-.f64 y x) #s(literal 10 binary64)) (/.f64 #s(literal -10 binary64) x)))))
(-.f64 (/.f64 (/.f64 y (/.f64 #s(literal 100 binary64) y)) (/.f64 (-.f64 y x) #s(literal 10 binary64))) (/.f64 (/.f64 x (/.f64 #s(literal 100 binary64) x)) (/.f64 (-.f64 y x) #s(literal 10 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64)))))) #s(literal -100 binary64)) (/.f64 (/.f64 (.f64 #s(literal 1000 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64)))))) #s(literal -100 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 #s(literal -10 binary64) (-.f64 y x))) #s(literal -100 binary64)) (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 100 binary64))) (.f64 #s(literal -10 binary64) (-.f64 y x))) #s(literal -100 binary64)))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000 binary64)) (.f64 #s(literal -100 binary64) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64))))))) (/.f64 (.f64 #s(literal 1000 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -100 binary64) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64))))))))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 #s(literal -100 binary64) (.f64 #s(literal -10 binary64) (-.f64 y x)))) (/.f64 (.f64 x (.f64 x #s(literal 100 binary64))) (.f64 #s(literal -100 binary64) (.f64 #s(literal -10 binary64) (-.f64 y x)))))
(-.f64 (/.f64 (/.f64 y (/.f64 x #s(literal -10 binary64))) (/.f64 #s(literal -100 binary64) x)) (/.f64 #s(literal 10 binary64) (/.f64 #s(literal -100 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 y #s(literal 10 binary64)) x) (/.f64 #s(literal 100 binary64) x)) (/.f64 #s(literal -10 binary64) (/.f64 #s(literal 100 binary64) x)))
(-.f64 (/.f64 #s(literal -10 binary64) (/.f64 #s(literal -100 binary64) y)) (/.f64 (/.f64 (*.f64 #s(literal 10 binary64) x) y) (/.f64 #s(literal -100 binary64) y)))
(-.f64 (/.f64 #s(literal 10 binary64) (/.f64 #s(literal 100 binary64) y)) (/.f64 (/.f64 (*.f64 x #s(literal -10 binary64)) y) (/.f64 #s(literal 100 binary64) y)))
(-.f64 (/.f64 (/.f64 #s(literal -10 binary64) x) (/.f64 (/.f64 #s(literal -100 binary64) x) y)) (/.f64 (/.f64 #s(literal 10 binary64) y) (/.f64 (/.f64 #s(literal -100 binary64) x) y)))
(-.f64 (/.f64 (.f64 y #s(literal 1000 binary64)) #s(literal 10000 binary64)) (/.f64 (.f64 #s(literal -1000 binary64) x) #s(literal 10000 binary64)))
(-.f64 (+.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 0 binary64)) (/.f64 x #s(literal -10 binary64)))
(fma.f64 y #s(literal 1/10 binary64) (/.f64 x #s(literal 10 binary64)))
(fma.f64 y #s(literal 1/10 binary64) (*.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1/10 binary64) (.f64 #s(literal -1/100 binary64) (.f64 x #s(literal -10 binary64))))
(fma.f64 #s(literal 10 binary64) (neg.f64 (/.f64 x #s(literal -100 binary64))) (/.f64 y #s(literal 10 binary64)))
(fma.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 1 binary64) (/.f64 x #s(literal 10 binary64)))
(fma.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y #s(literal 10 binary64)) #s(literal 1 binary64) (.f64 #s(literal -1/100 binary64) (.f64 x #s(literal -10 binary64))))
(fma.f64 x #s(literal 1/10 binary64) (/.f64 y #s(literal 10 binary64)))
(fma.f64 #s(literal -10 binary64) (/.f64 y #s(literal -100 binary64)) (/.f64 x #s(literal 10 binary64)))
(fma.f64 #s(literal -10 binary64) (/.f64 y #s(literal -100 binary64)) (*.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -10 binary64) (/.f64 y #s(literal -100 binary64)) (.f64 #s(literal -1/100 binary64) (.f64 x #s(literal -10 binary64))))
(fma.f64 #s(literal -10 binary64) (/.f64 x #s(literal -100 binary64)) (/.f64 y #s(literal 10 binary64)))
(fma.f64 #s(literal -10 binary64) (*.f64 (/.f64 y #s(literal -100 binary64)) #s(literal 1 binary64)) (/.f64 x #s(literal 10 binary64)))
(fma.f64 #s(literal -10 binary64) (.f64 (/.f64 y #s(literal -100 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -10 binary64) (.f64 (/.f64 y #s(literal -100 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/100 binary64) (*.f64 x #s(literal -10 binary64))))
(fma.f64 (*.f64 y #s(literal -10 binary64)) #s(literal -1/100 binary64) (/.f64 x #s(literal 10 binary64)))
(fma.f64 (.f64 y #s(literal -10 binary64)) #s(literal -1/100 binary64) (.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 y #s(literal -10 binary64)) #s(literal -1/100 binary64) (.f64 #s(literal -1/100 binary64) (*.f64 x #s(literal -10 binary64))))
(fma.f64 (*.f64 #s(literal 10 binary64) x) #s(literal 1/100 binary64) (/.f64 y #s(literal 10 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/10 binary64) (/.f64 y #s(literal 10 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/10 binary64) (/.f64 x #s(literal 10 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/10 binary64) (*.f64 (/.f64 x #s(literal 10 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/10 binary64) (.f64 #s(literal -1/100 binary64) (.f64 x #s(literal -10 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 #s(literal -10 binary64) (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x #s(literal 100 binary64))) (.f64 #s(literal -10 binary64) (-.f64 y x))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 #s(literal -10 binary64) (-.f64 y x))) (/.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 #s(literal -10 binary64) (-.f64 y x)))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal 100 binary64))) (.f64 #s(literal -10 binary64) (-.f64 y x))) (/.f64 (.f64 x (.f64 x #s(literal 100 binary64))) (.f64 #s(literal -10 binary64) (-.f64 y x)))) (.f64 (/.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 #s(literal -10 binary64) (-.f64 y x))) (/.f64 (.f64 x (.f64 x #s(literal 100 binary64))) (*.f64 #s(literal -10 binary64) (-.f64 y x)))))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 10 binary64)) (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 10 binary64))) (.f64 x (.f64 x #s(literal 100 binary64)))) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 10 binary64)) (*.f64 #s(literal 10 binary64) x)))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 100 binary64))) (.f64 y (.f64 y #s(literal 100 binary64)))) (-.f64 (.f64 x #s(literal -10 binary64)) (.f64 y #s(literal -10 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64)))))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64))))))) (.f64 (/.f64 (.f64 #s(literal 1000 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64)))))) (/.f64 (.f64 #s(literal 1000 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64)))))))) (+.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64)))))) (/.f64 (.f64 #s(literal 1000 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 #s(literal -10 binary64) (-.f64 y x))) (/.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 #s(literal -10 binary64) (-.f64 y x)))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 100 binary64))) (.f64 #s(literal -10 binary64) (-.f64 y x))) (/.f64 (.f64 x (.f64 x #s(literal 100 binary64))) (.f64 #s(literal -10 binary64) (-.f64 y x))))) (+.f64 (/.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 #s(literal -10 binary64) (-.f64 y x))) (/.f64 (.f64 x (.f64 x #s(literal 100 binary64))) (.f64 #s(literal -10 binary64) (-.f64 y x)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1000 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64))))))
(/.f64 (.f64 (.f64 #s(literal 100 binary64) (-.f64 (.f64 y y) (.f64 x x))) #s(literal 1 binary64)) (*.f64 #s(literal -10 binary64) (-.f64 y x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000 binary64)) (.f64 #s(literal 1000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (.f64 #s(literal 1000 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64))))))) (+.f64 (.f64 #s(literal 1000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 #s(literal 1000 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 #s(literal 1000 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) #s(literal -1000 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 #s(literal 1000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64))))))) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000 binary64)) (.f64 #s(literal 1000 binary64) (.f64 x (.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 #s(literal 1000000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -10 binary64) (-.f64 y x)))) (+.f64 (.f64 #s(literal 10000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x (.f64 x #s(literal 100 binary64))) (+.f64 (.f64 x (.f64 x #s(literal 100 binary64))) (.f64 y (*.f64 y #s(literal 100 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 10000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 #s(literal 10000 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -10 binary64) (-.f64 y x)))) (.f64 #s(literal 100 binary64) (+.f64 (.f64 y y) (*.f64 x x))))
(pow.f64 (/.f64 #s(literal -1/10 binary64) (+.f64 y x)) #s(literal -1 binary64))
(*.f64 #s(literal -10 binary64) (+.f64 y x))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64)))))))
(.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 100 binary64) (+.f64 (.f64 y y) (.f64 x x))) (.f64 (.f64 y #s(literal 100 binary64)) x))))
(.f64 (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64))))) (.f64 (.f64 #s(literal -10 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (*.f64 y #s(literal -100 binary64))))))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -10 binary64) (+.f64 y x)))
(.f64 (.f64 #s(literal 100 binary64) (-.f64 (.f64 y y) (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -10 binary64) (-.f64 y x))))
(.f64 (.f64 #s(literal -10 binary64) (-.f64 y x)) (.f64 (.f64 #s(literal -10 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -10 binary64) (-.f64 y x)))))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 10 binary64) (+.f64 y x)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 100 binary64) (-.f64 (.f64 y y) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal -10 binary64)) (.f64 y #s(literal 10 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64)))))) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1000 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -10 binary64) (-.f64 y x))) (.f64 #s(literal 100 binary64) (-.f64 (.f64 y y) (*.f64 x x))))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) (-.f64 (.f64 y y) (.f64 x x))) (.f64 #s(literal 100 binary64) (-.f64 (.f64 y y) (.f64 x x)))) (.f64 #s(literal -10 binary64) (+.f64 y x)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1000 binary64))) (+.f64 (.f64 #s(literal 1000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 100 binary64))) (.f64 (.f64 #s(literal -10 binary64) (-.f64 y x)) (.f64 #s(literal -10 binary64) (-.f64 y x))))))) (+.f64 (.f64 #s(literal 10000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64)))) (-.f64 (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64)))) (.f64 y (.f64 y #s(literal 100 binary64)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1000 binary64))) (-.f64 (.f64 #s(literal 10000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x (.f64 x #s(literal 100 binary64))) (.f64 (.f64 #s(literal -10 binary64) (-.f64 y x)) (.f64 #s(literal -10 binary64) (-.f64 y x)))))) (-.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 y #s(literal -100 binary64))))))
(.f64 (/.f64 (.f64 #s(literal 100 binary64) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1000 binary64)) (.f64 #s(literal 1000 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 y (.f64 y #s(literal 100 binary64))) (.f64 x (-.f64 (.f64 x #s(literal 100 binary64)) (*.f64 y #s(literal -100 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -10 binary64)))
(neg.f64 (*.f64 x #s(literal -10 binary64)))
(*.f64 #s(literal 10 binary64) x)
(*.f64 x #s(literal 10 binary64))
(*.f64 #s(literal -10 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -10 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 10 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -10 binary64)))
(*.f64 y #s(literal -10 binary64))
(*.f64 #s(literal -10 binary64) y)

simplify384.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

3226×	`accelerator-lowering-fma.f32`
3226×	`accelerator-lowering-fma.f64`
3024×	`-lowering-.f32`
3024×	`-lowering-.f64`
1766×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	468
1	133	468
2	345	468
3	789	468
4	1649	468
5	3127	468
6	4938	468
7	6864	468
0	8091	468

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(* 1/10 x)
(- (* 1/10 y) (* -1/10 x))
(- (* 1/10 y) (* -1/10 x))
(- (* 1/10 y) (* -1/10 x))
(* 1/10 y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* 1/10 y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* 1/10 y)
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(* 1/10 x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* 1/10 x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* -1/10 x)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 y)
(* 1/10 x)
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(* 1/10 y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* 1/10 y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* 1/10 y)
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(* 1/10 x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* 1/10 x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -10 x)
(- (* -10 y) (* 10 x))
(- (* -10 y) (* 10 x))
(- (* -10 y) (* 10 x))
(* -10 y)
(* y (- (* -10 (/ x y)) 10))
(* y (- (* -10 (/ x y)) 10))
(* y (- (* -10 (/ x y)) 10))
(* -10 y)
(* -1 (* y (+ 10 (* 10 (/ x y)))))
(* -1 (* y (+ 10 (* 10 (/ x y)))))
(* -1 (* y (+ 10 (* 10 (/ x y)))))
(* -10 y)
(+ (* -10 x) (* -10 y))
(+ (* -10 x) (* -10 y))
(+ (* -10 x) (* -10 y))
(* -10 x)
(* x (- (* -10 (/ y x)) 10))
(* x (- (* -10 (/ y x)) 10))
(* x (- (* -10 (/ y x)) 10))
(* -10 x)
(* -1 (* x (+ 10 (* 10 (/ y x)))))
(* -1 (* x (+ 10 (* 10 (/ y x)))))
(* -1 (* x (+ 10 (* 10 (/ y x)))))
(* 10 x)
(* 10 x)
(* 10 x)
(* 10 x)
(* 10 x)
(* 10 x)
(* 10 x)
(* 10 x)
(* 10 x)
(* 10 x)
(* 10 x)
(* 10 x)
(* -10 y)
(* -10 y)
(* -10 y)
(* -10 y)
(* -10 y)
(* -10 y)
(* -10 y)
(* -10 y)
(* -10 y)
(* -10 y)
(* -10 y)
(* -10 y)

Outputs
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(- (* 1/10 y) (* -1/10 x))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(- (* 1/10 y) (* -1/10 x))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(- (* 1/10 y) (* -1/10 x))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* -1/10 x)
(*.f64 x #s(literal -1/10 binary64))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -10 x)
(*.f64 x #s(literal -10 binary64))
(- (* -10 y) (* 10 x))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(- (* -10 y) (* 10 x))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(- (* -10 y) (* 10 x))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(* y (- (* -10 (/ x y)) 10))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(* y (- (* -10 (/ x y)) 10))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(* y (- (* -10 (/ x y)) 10))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(* -1 (* y (+ 10 (* 10 (/ x y)))))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(* -1 (* y (+ 10 (* 10 (/ x y)))))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(* -1 (* y (+ 10 (* 10 (/ x y)))))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(+ (* -10 x) (* -10 y))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(+ (* -10 x) (* -10 y))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(+ (* -10 x) (* -10 y))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(* -10 x)
(*.f64 x #s(literal -10 binary64))
(* x (- (* -10 (/ y x)) 10))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(* x (- (* -10 (/ y x)) 10))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(* x (- (* -10 (/ y x)) 10))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(* -10 x)
(*.f64 x #s(literal -10 binary64))
(* -1 (* x (+ 10 (* 10 (/ y x)))))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(* -1 (* x (+ 10 (* 10 (/ y x)))))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(* -1 (* x (+ 10 (* 10 (/ y x)))))
(*.f64 #s(literal -10 binary64) (+.f64 x y))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* 10 x)
(*.f64 x #s(literal 10 binary64))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(* -10 y)
(*.f64 y #s(literal -10 binary64))
(* -10 y)
(*.f64 y #s(literal -10 binary64))

eval176.0ms (2.1%)

Compiler: Compiled 16205 to 9686 computations (40.2% saved)

prune72.0ms (0.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	847	2	849
Fresh	0	0	0
Picked	1	1	2
Done	1	4	5
Total	849	7	856

Accuracy

100.0%

Counts

856 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (-.f64 (.f64 y #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) x)) #s(literal 1000 binary64))
✓	100.0%	(/.f64 (+.f64 x y) #s(literal 10 binary64))
▶	46.5%	(/.f64 (*.f64 x #s(literal -10 binary64)) #s(literal -100 binary64))
✓	54.3%	(/.f64 y #s(literal 10 binary64))
✓	46.8%	(/.f64 x #s(literal 10 binary64))
✓	100.0%	(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))
✓	54.1%	(*.f64 #s(literal 1/10 binary64) y)

Compiler

Compiled 49 to 39 computations (20.4% saved)

localize223.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal -100 binary64) x)
✓	cost-diff	0	(*.f64 y #s(literal 100 binary64))
✓	cost-diff	128	(-.f64 (.f64 y #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) x))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 y #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) x)) #s(literal 1000 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -10 binary64))
✓	cost-diff	128	(/.f64 (*.f64 x #s(literal -10 binary64)) #s(literal -100 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 100 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -100 binary64) x)
✓	accuracy	100.0%	(-.f64 (.f64 y #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) x))
✓	accuracy	99.3%	(/.f64 (-.f64 (.f64 y #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) x)) #s(literal 1000 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal -10 binary64))
✓	accuracy	99.5%	(/.f64 (*.f64 x #s(literal -10 binary64)) #s(literal -100 binary64))

Rules

848×	`accelerator-lowering-fma.f32`
848×	`accelerator-lowering-fma.f64`
528×	`-lowering-.f32`
528×	`-lowering-.f64`
220×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	26	30
2	52	30
3	85	28
4	136	28
5	187	28
6	277	28
7	420	28
8	598	28
9	792	28
10	916	28
11	999	28
12	1021	28
0	1021	28

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* x -10) -100)
(* x -10)
x
-10
-100
(/ (- (* y 100) (* -100 x)) 1000)
(- (* y 100) (* -100 x))
(* y 100)
y
100
(* -100 x)
1000

Outputs
(/ (* x -10) -100)
(*.f64 x #s(literal 1/10 binary64))
(* x -10)
(*.f64 x #s(literal -10 binary64))
x
-10
#s(literal -10 binary64)
-100
#s(literal -100 binary64)
(/ (- (* y 100) (* -100 x)) 1000)
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(- (* y 100) (* -100 x))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(* y 100)
(*.f64 y #s(literal 100 binary64))
y
100
#s(literal 100 binary64)
(* -100 x)
(*.f64 x #s(literal -100 binary64))
1000
#s(literal 1000 binary64)

Results

82.0ms	251×	0	valid
1.0ms	4×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 41 to 30 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 38.0ms (69.1% of total)

ival-mult: 12.0ms (21.8% of total)

ival-sub: 3.0ms (5.5% of total)

const: 2.0ms (3.6% of total)

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

series9.0ms (0.1%)

Counts

6 → 96

Calls

Call 1

Inputs
#<alt (/ (* x -10) -100)>
#<alt (* x -10)>
#<alt (/ (- (* y 100) (* -100 x)) 1000)>
#<alt (- (* y 100) (* -100 x))>
#<alt (* -100 x)>
#<alt (* y 100)>

Outputs
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* 1/10 x)>
#<alt (* -10 x)>
#<alt (* -10 x)>
#<alt (* -10 x)>
#<alt (* -10 x)>
#<alt (* -10 x)>
#<alt (* -10 x)>
#<alt (* -10 x)>
#<alt (* -10 x)>
#<alt (* -10 x)>
#<alt (* -10 x)>
#<alt (* -10 x)>
#<alt (* -10 x)>
#<alt (* 1/10 x)>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (* 1/10 y)>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* y (+ 1/10 (* 1/10 (/ x y))))>
#<alt (* 1/10 y)>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* -1 (* y (- (* -1/10 (/ x y)) 1/10)))>
#<alt (* 1/10 y)>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (+ (* 1/10 x) (* 1/10 y))>
#<alt (* 1/10 x)>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* x (+ 1/10 (* 1/10 (/ y x))))>
#<alt (* 1/10 x)>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* -1 (* x (- (* -1/10 (/ y x)) 1/10)))>
#<alt (* 100 x)>
#<alt (- (* 100 y) (* -100 x))>
#<alt (- (* 100 y) (* -100 x))>
#<alt (- (* 100 y) (* -100 x))>
#<alt (* 100 y)>
#<alt (* y (+ 100 (* 100 (/ x y))))>
#<alt (* y (+ 100 (* 100 (/ x y))))>
#<alt (* y (+ 100 (* 100 (/ x y))))>
#<alt (* 100 y)>
#<alt (* -1 (* y (- (* -100 (/ x y)) 100)))>
#<alt (* -1 (* y (- (* -100 (/ x y)) 100)))>
#<alt (* -1 (* y (- (* -100 (/ x y)) 100)))>
#<alt (* 100 y)>
#<alt (+ (* 100 x) (* 100 y))>
#<alt (+ (* 100 x) (* 100 y))>
#<alt (+ (* 100 x) (* 100 y))>
#<alt (* 100 x)>
#<alt (* x (+ 100 (* 100 (/ y x))))>
#<alt (* x (+ 100 (* 100 (/ y x))))>
#<alt (* x (+ 100 (* 100 (/ y x))))>
#<alt (* 100 x)>
#<alt (* -1 (* x (- (* -100 (/ y x)) 100)))>
#<alt (* -1 (* x (- (* -100 (/ y x)) 100)))>
#<alt (* -1 (* x (- (* -100 (/ y x)) 100)))>
#<alt (* -100 x)>
#<alt (* -100 x)>
#<alt (* -100 x)>
#<alt (* -100 x)>
#<alt (* -100 x)>
#<alt (* -100 x)>
#<alt (* -100 x)>
#<alt (* -100 x)>
#<alt (* -100 x)>
#<alt (* -100 x)>
#<alt (* -100 x)>
#<alt (* -100 x)>
#<alt (* 100 y)>
#<alt (* 100 y)>
#<alt (* 100 y)>
#<alt (* 100 y)>
#<alt (* 100 y)>
#<alt (* 100 y)>
#<alt (* 100 y)>
#<alt (* 100 y)>
#<alt (* 100 y)>
#<alt (* 100 y)>
#<alt (* 100 y)>
#<alt (* 100 y)>

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/ (- (* y 100) (* -100 x)) 1000)
0.0ms	x	@	inf	(* -100 x)
0.0ms	x	@	0	(/ (- (* y 100) (* -100 x)) 1000)
0.0ms	x	@	-inf	(* -100 x)
0.0ms	x	@	inf	(/ (- (* y 100) (* -100 x)) 1000)

rewrite722.0ms (8.7%)

Algorithm

1×	batch-egg-rewrite

Rules

6184×	`-lowering-.f32`
6184×	`-lowering-.f64`
5808×	`accelerator-lowering-fma.f32`
5808×	`accelerator-lowering-fma.f64`
3586×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	56	24
2	350	22
3	3170	22
0	8925	22

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 434

Calls

Call 1

Inputs
(/ (* x -10) -100)
(* x -10)
(/ (- (* y 100) (* -100 x)) 1000)
(- (* y 100) (* -100 x))
(* -100 x)
(* y 100)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 10 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/10 binary64)))
(neg.f64 (*.f64 x #s(literal -1/10 binary64)))
(/.f64 (*.f64 x #s(literal -10 binary64)) #s(literal -100 binary64))
(/.f64 (*.f64 x #s(literal -100 binary64)) #s(literal -1000 binary64))
(/.f64 (*.f64 x #s(literal 10 binary64)) #s(literal 100 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) x))
(/.f64 #s(literal -1/100 binary64) (/.f64 #s(literal -1/10 binary64) x))
(/.f64 (*.f64 x #s(literal 100 binary64)) #s(literal 1000 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -10 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 10 binary64))) #s(literal 100 binary64))
(pow.f64 (/.f64 #s(literal 10 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 1/10 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 10 binary64) x) (/.f64 #s(literal 10 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 10 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 10 binary64) x))) #s(literal -1 binary64))
(*.f64 x #s(literal 1/10 binary64))
(*.f64 #s(literal -10 binary64) (/.f64 x #s(literal -100 binary64)))
(.f64 #s(literal -10 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/100 binary64)))
(.f64 (.f64 x #s(literal -10 binary64)) #s(literal -1/100 binary64))
(*.f64 #s(literal -100 binary64) (neg.f64 (/.f64 x #s(literal 1000 binary64))))
(*.f64 #s(literal 100 binary64) (/.f64 x #s(literal 1000 binary64)))
(.f64 (.f64 x #s(literal -100 binary64)) #s(literal -1/1000 binary64))
(.f64 (.f64 x #s(literal 10 binary64)) #s(literal 1/100 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/10 binary64)))
(.f64 #s(literal -1/100 binary64) (.f64 x #s(literal -10 binary64)))
(*.f64 #s(literal -1/100 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/10 binary64) x)))
(.f64 (.f64 x #s(literal 100 binary64)) #s(literal 1/1000 binary64))
(*.f64 #s(literal 1/10 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/10 binary64)))
(.f64 #s(literal 1/100 binary64) (.f64 x #s(literal 10 binary64)))
(.f64 (.f64 x #s(literal 1/10 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/10 binary64))
(.f64 #s(literal 10 binary64) (.f64 x #s(literal 1/100 binary64)))
(*.f64 #s(literal 10 binary64) (/.f64 x #s(literal 100 binary64)))
(*.f64 (/.f64 x #s(literal -100 binary64)) #s(literal -10 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 10 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 10 binary64) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/10 binary64))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 10 binary64))) #s(literal 1/100 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 10 binary64)))
(neg.f64 (*.f64 x #s(literal 10 binary64)))
(*.f64 x #s(literal -10 binary64))
(*.f64 #s(literal -10 binary64) x)
(*.f64 #s(literal -10 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal -10 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 10 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 10 binary64))
(*.f64 #s(literal 10 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -10 binary64))
(+.f64 (.f64 y #s(literal 1/10 binary64)) (.f64 x #s(literal 1/10 binary64)))
(+.f64 (.f64 y #s(literal 1/10 binary64)) (.f64 #s(literal 1/1000 binary64) (*.f64 x #s(literal 100 binary64))))
(+.f64 (.f64 x #s(literal 1/10 binary64)) (.f64 y #s(literal 1/10 binary64)))
(+.f64 (.f64 #s(literal 1/1000 binary64) (.f64 x #s(literal 100 binary64))) (*.f64 y #s(literal 1/10 binary64)))
(+.f64 (.f64 (.f64 y #s(literal 1/10 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 1/10 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 10 binary64) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 (.f64 y #s(literal 1/10 binary64)) (.f64 x #s(literal -1/10 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 100 binary64) (+.f64 x y)) #s(literal -1000 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1000000 binary64)) (+.f64 (.f64 (.f64 y y) #s(literal 10000 binary64)) (.f64 x (+.f64 (.f64 x #s(literal 10000 binary64)) (.f64 y #s(literal -10000 binary64)))))) #s(literal 1000 binary64)) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1000000 binary64)) (+.f64 (.f64 (.f64 y y) #s(literal 10000 binary64)) (.f64 x (+.f64 (.f64 x #s(literal 10000 binary64)) (.f64 y #s(literal -10000 binary64)))))) #s(literal 1000 binary64)))
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(pow.f64 (/.f64 (/.f64 #s(literal 1/100 binary64) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1000000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) #s(literal 10000 binary64)) (.f64 x (+.f64 (.f64 x #s(literal 10000 binary64)) (.f64 y #s(literal -10000 binary64)))))))
(.f64 (+.f64 (.f64 (.f64 y y) #s(literal 10000 binary64)) (.f64 x (+.f64 (.f64 x #s(literal 10000 binary64)) (.f64 y #s(literal -10000 binary64))))) (/.f64 (.f64 #s(literal 100 binary64) (+.f64 x y)) (+.f64 (.f64 (.f64 y y) #s(literal 10000 binary64)) (.f64 x (+.f64 (.f64 x #s(literal 10000 binary64)) (.f64 y #s(literal -10000 binary64)))))))
(.f64 (+.f64 (.f64 (.f64 y y) #s(literal 10000 binary64)) (.f64 x (+.f64 (.f64 x #s(literal 10000 binary64)) (.f64 y #s(literal -10000 binary64))))) (.f64 (.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) #s(literal 10000 binary64)) (.f64 x (+.f64 (.f64 x #s(literal 10000 binary64)) (*.f64 y #s(literal -10000 binary64))))))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 100 binary64) (+.f64 x y)))
(.f64 (.f64 #s(literal 10000 binary64) (-.f64 (.f64 y y) (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) (-.f64 y x))))
(.f64 (.f64 #s(literal 100 binary64) (-.f64 y x)) (/.f64 (.f64 #s(literal 100 binary64) (+.f64 x y)) (.f64 #s(literal 100 binary64) (-.f64 y x))))
(.f64 (.f64 #s(literal 100 binary64) (-.f64 y x)) (.f64 (.f64 #s(literal 100 binary64) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 100 binary64) (-.f64 y x)))))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -100 binary64) (+.f64 x y)))
(.f64 (+.f64 (.f64 #s(literal -1000000 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) #s(literal -1000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y y) #s(literal 10000 binary64)) (.f64 x (+.f64 (.f64 x #s(literal 10000 binary64)) (.f64 y #s(literal -10000 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 10000 binary64) (-.f64 (.f64 y y) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) #s(literal 10000 binary64)) (.f64 x (+.f64 (.f64 x #s(literal 10000 binary64)) (.f64 y #s(literal -10000 binary64)))))) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1000000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1000000 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 100 binary64) (-.f64 y x))) (.f64 #s(literal 10000 binary64) (-.f64 (.f64 y y) (*.f64 x x))))
(*.f64 (+.f64 x y) #s(literal 100 binary64))
(.f64 (/.f64 (.f64 #s(literal 10000 binary64) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1000000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1000000 binary64)))) (+.f64 (.f64 (.f64 y y) #s(literal 10000 binary64)) (.f64 x (-.f64 (.f64 x #s(literal 10000 binary64)) (*.f64 y #s(literal -10000 binary64))))))
(.f64 (/.f64 (.f64 #s(literal 10000 binary64) (-.f64 (.f64 y y) (.f64 x x))) (.f64 #s(literal 10000 binary64) (-.f64 (.f64 y y) (.f64 x x)))) (.f64 #s(literal 100 binary64) (+.f64 x y)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1000000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1000000 binary64))) (+.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1000000000000 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1000000 binary64)) (.f64 (.f64 #s(literal 100 binary64) (-.f64 y x)) (.f64 (.f64 #s(literal 100 binary64) (-.f64 y x)) (.f64 #s(literal 100 binary64) (-.f64 y x))))))) (+.f64 (.f64 #s(literal 100000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x (+.f64 (.f64 x #s(literal 10000 binary64)) (.f64 y #s(literal -10000 binary64)))) (-.f64 (.f64 x (+.f64 (.f64 x #s(literal 10000 binary64)) (.f64 y #s(literal -10000 binary64)))) (.f64 (*.f64 y y) #s(literal 10000 binary64))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1000000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -1000000 binary64))) (-.f64 (.f64 #s(literal 100000000 binary64) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x (.f64 x #s(literal 10000 binary64))) (.f64 (.f64 #s(literal 100 binary64) (-.f64 y x)) (.f64 #s(literal 100 binary64) (-.f64 y x)))))) (+.f64 (.f64 (.f64 y y) #s(literal 10000 binary64)) (.f64 (.f64 x #s(literal 100 binary64)) (.f64 #s(literal 100 binary64) (-.f64 y x)))))
(exp.f64 (log.f64 (*.f64 x #s(literal -100 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -100 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 100 binary64)))
(neg.f64 (*.f64 x #s(literal 100 binary64)))
(pow.f64 (*.f64 x #s(literal -100 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -100 binary64))
(*.f64 #s(literal -100 binary64) x)
(*.f64 #s(literal -100 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 100 binary64) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal -100 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 100 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 100 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -100 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal -100 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -100 binary64))) (exp.f64 (log.f64 x)))
(exp.f64 (log.f64 (*.f64 y #s(literal 100 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 100 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 y #s(literal 100 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) y)
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 100 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 100 binary64))) (exp.f64 (log.f64 y)))

simplify313.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

4184×	`accelerator-lowering-fma.f32`
4184×	`accelerator-lowering-fma.f64`
2682×	`-lowering-.f32`
2682×	`-lowering-.f64`
1524×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	360
1	132	360
2	303	360
3	686	360
4	1336	360
5	2364	360
6	4445	360
7	6754	360
0	8090	360

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* 1/10 x)
(* -10 x)
(* -10 x)
(* -10 x)
(* -10 x)
(* -10 x)
(* -10 x)
(* -10 x)
(* -10 x)
(* -10 x)
(* -10 x)
(* -10 x)
(* -10 x)
(* 1/10 x)
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(* 1/10 y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* y (+ 1/10 (* 1/10 (/ x y))))
(* 1/10 y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(* 1/10 y)
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(+ (* 1/10 x) (* 1/10 y))
(* 1/10 x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* x (+ 1/10 (* 1/10 (/ y x))))
(* 1/10 x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(* 100 x)
(- (* 100 y) (* -100 x))
(- (* 100 y) (* -100 x))
(- (* 100 y) (* -100 x))
(* 100 y)
(* y (+ 100 (* 100 (/ x y))))
(* y (+ 100 (* 100 (/ x y))))
(* y (+ 100 (* 100 (/ x y))))
(* 100 y)
(* -1 (* y (- (* -100 (/ x y)) 100)))
(* -1 (* y (- (* -100 (/ x y)) 100)))
(* -1 (* y (- (* -100 (/ x y)) 100)))
(* 100 y)
(+ (* 100 x) (* 100 y))
(+ (* 100 x) (* 100 y))
(+ (* 100 x) (* 100 y))
(* 100 x)
(* x (+ 100 (* 100 (/ y x))))
(* x (+ 100 (* 100 (/ y x))))
(* x (+ 100 (* 100 (/ y x))))
(* 100 x)
(* -1 (* x (- (* -100 (/ y x)) 100)))
(* -1 (* x (- (* -100 (/ y x)) 100)))
(* -1 (* x (- (* -100 (/ y x)) 100)))
(* -100 x)
(* -100 x)
(* -100 x)
(* -100 x)
(* -100 x)
(* -100 x)
(* -100 x)
(* -100 x)
(* -100 x)
(* -100 x)
(* -100 x)
(* -100 x)
(* 100 y)
(* 100 y)
(* 100 y)
(* 100 y)
(* 100 y)
(* 100 y)
(* 100 y)
(* 100 y)
(* 100 y)
(* 100 y)
(* 100 y)
(* 100 y)

Outputs
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* -10 x)
(*.f64 x #s(literal -10 binary64))
(* -10 x)
(*.f64 x #s(literal -10 binary64))
(* -10 x)
(*.f64 x #s(literal -10 binary64))
(* -10 x)
(*.f64 x #s(literal -10 binary64))
(* -10 x)
(*.f64 x #s(literal -10 binary64))
(* -10 x)
(*.f64 x #s(literal -10 binary64))
(* -10 x)
(*.f64 x #s(literal -10 binary64))
(* -10 x)
(*.f64 x #s(literal -10 binary64))
(* -10 x)
(*.f64 x #s(literal -10 binary64))
(* -10 x)
(*.f64 x #s(literal -10 binary64))
(* -10 x)
(*.f64 x #s(literal -10 binary64))
(* -10 x)
(*.f64 x #s(literal -10 binary64))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* y (+ 1/10 (* 1/10 (/ x y))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* y (- (* -1/10 (/ x y)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 y)
(*.f64 #s(literal 1/10 binary64) y)
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(+ (* 1/10 x) (* 1/10 y))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* x (+ 1/10 (* 1/10 (/ y x))))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 1/10 x)
(*.f64 #s(literal 1/10 binary64) x)
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* -1 (* x (- (* -1/10 (/ y x)) 1/10)))
(*.f64 #s(literal 1/10 binary64) (+.f64 x y))
(* 100 x)
(*.f64 x #s(literal 100 binary64))
(- (* 100 y) (* -100 x))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(- (* 100 y) (* -100 x))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(- (* 100 y) (* -100 x))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(* 100 y)
(*.f64 y #s(literal 100 binary64))
(* y (+ 100 (* 100 (/ x y))))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(* y (+ 100 (* 100 (/ x y))))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(* y (+ 100 (* 100 (/ x y))))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(* 100 y)
(*.f64 y #s(literal 100 binary64))
(* -1 (* y (- (* -100 (/ x y)) 100)))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(* -1 (* y (- (* -100 (/ x y)) 100)))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(* -1 (* y (- (* -100 (/ x y)) 100)))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(* 100 y)
(*.f64 y #s(literal 100 binary64))
(+ (* 100 x) (* 100 y))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(+ (* 100 x) (* 100 y))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(+ (* 100 x) (* 100 y))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(* 100 x)
(*.f64 x #s(literal 100 binary64))
(* x (+ 100 (* 100 (/ y x))))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(* x (+ 100 (* 100 (/ y x))))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(* x (+ 100 (* 100 (/ y x))))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(* 100 x)
(*.f64 x #s(literal 100 binary64))
(* -1 (* x (- (* -100 (/ y x)) 100)))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(* -1 (* x (- (* -100 (/ y x)) 100)))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(* -1 (* x (- (* -100 (/ y x)) 100)))
(*.f64 #s(literal 100 binary64) (+.f64 x y))
(* -100 x)
(*.f64 x #s(literal -100 binary64))
(* -100 x)
(*.f64 x #s(literal -100 binary64))
(* -100 x)
(*.f64 x #s(literal -100 binary64))
(* -100 x)
(*.f64 x #s(literal -100 binary64))
(* -100 x)
(*.f64 x #s(literal -100 binary64))
(* -100 x)
(*.f64 x #s(literal -100 binary64))
(* -100 x)
(*.f64 x #s(literal -100 binary64))
(* -100 x)
(*.f64 x #s(literal -100 binary64))
(* -100 x)
(*.f64 x #s(literal -100 binary64))
(* -100 x)
(*.f64 x #s(literal -100 binary64))
(* -100 x)
(*.f64 x #s(literal -100 binary64))
(* -100 x)
(*.f64 x #s(literal -100 binary64))
(* 100 y)
(*.f64 y #s(literal 100 binary64))
(* 100 y)
(*.f64 y #s(literal 100 binary64))
(* 100 y)
(*.f64 y #s(literal 100 binary64))
(* 100 y)
(*.f64 y #s(literal 100 binary64))
(* 100 y)
(*.f64 y #s(literal 100 binary64))
(* 100 y)
(*.f64 y #s(literal 100 binary64))
(* 100 y)
(*.f64 y #s(literal 100 binary64))
(* 100 y)
(*.f64 y #s(literal 100 binary64))
(* 100 y)
(*.f64 y #s(literal 100 binary64))
(* 100 y)
(*.f64 y #s(literal 100 binary64))
(* 100 y)
(*.f64 y #s(literal 100 binary64))
(* 100 y)
(*.f64 y #s(literal 100 binary64))

eval152.0ms (1.8%)

Compiler: Compiled 9613 to 5864 computations (39% saved)

prune187.0ms (2.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	530	0	530
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	530	7	537

Accuracy

100.0%

Counts

537 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (-.f64 (.f64 y #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) x)) #s(literal 1000 binary64))
✓	100.0%	(/.f64 (+.f64 x y) #s(literal 10 binary64))
✓	46.5%	(/.f64 (*.f64 x #s(literal -10 binary64)) #s(literal -100 binary64))
✓	54.3%	(/.f64 y #s(literal 10 binary64))
✓	46.8%	(/.f64 x #s(literal 10 binary64))
✓	100.0%	(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))
✓	54.1%	(*.f64 #s(literal 1/10 binary64) y)

Compiler

Compiled 117 to 85 computations (27.4% saved)

regimes14.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/10 binary64) y)
(/.f64 x #s(literal 10 binary64))
(/.f64 y #s(literal 10 binary64))
(/.f64 (*.f64 x #s(literal -10 binary64)) #s(literal -100 binary64))
(/.f64 (+.f64 x y) #s(literal 10 binary64))
(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -10 binary64)) (/.f64 x #s(literal -10 binary64)))
(/.f64 (-.f64 (.f64 y #s(literal -10 binary64)) (.f64 #s(literal 10 binary64) x)) #s(literal -100 binary64))
(/.f64 (-.f64 (.f64 y #s(literal 100 binary64)) (.f64 #s(literal -100 binary64) x)) #s(literal 1000 binary64))
(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (.f64 #s(literal 10 binary64) (-.f64 x y))))

Outputs
(-.f64 (/.f64 y #s(literal 10 binary64)) (/.f64 x #s(literal -10 binary64)))

Calls

4 calls:

4.0ms	(/.f64 (+.f64 x y) #s(literal 10 binary64))
3.0ms	(+.f64 x y)
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (+.f64 x y) #s(literal 10 binary64))`
100.0%	1	`(+.f64 x y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/10 binary64) y)
(/.f64 x #s(literal 10 binary64))
(/.f64 y #s(literal 10 binary64))
(/.f64 (*.f64 x #s(literal -10 binary64)) #s(literal -100 binary64))
(/.f64 (+.f64 x y) #s(literal 10 binary64))

Outputs
(/.f64 (+.f64 x y) #s(literal 10 binary64))

Calls

4 calls:

3.0ms	(+.f64 x y)
2.0ms	x
2.0ms	(/.f64 (+.f64 x y) #s(literal 10 binary64))
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (+.f64 x y) #s(literal 10 binary64))`
100.0%	1	`(+.f64 x y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

4 → 4

Calls

Call 1

Inputs
(*.f64 #s(literal 1/10 binary64) y)
(/.f64 x #s(literal 10 binary64))
(/.f64 y #s(literal 10 binary64))
(/.f64 (*.f64 x #s(literal -10 binary64)) #s(literal -100 binary64))

Outputs
(/.f64 x #s(literal 10 binary64))
(/.f64 y #s(literal 10 binary64))
(/.f64 x #s(literal 10 binary64))
(/.f64 y #s(literal 10 binary64))

Calls

2 calls:

6.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
82.4%	4	`x`
83.9%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

2 → 4

Calls

Call 1

Inputs
(*.f64 #s(literal 1/10 binary64) y)
(/.f64 x #s(literal 10 binary64))

Outputs
(/.f64 x #s(literal 10 binary64))
(*.f64 #s(literal 1/10 binary64) y)
(/.f64 x #s(literal 10 binary64))
(*.f64 #s(literal 1/10 binary64) y)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
83.7%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 1/10 binary64) y)

Outputs
(*.f64 #s(literal 1/10 binary64) y)

Calls

2 calls:

0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
54.1%	1	`x`
54.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch33.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	1.0780822955767275e-35	9.773677482306133e-33
8.0ms	8.875459205180741e-72	5.526441607351842e-70
11.0ms	2.02633460940524e-98	5.26950330497773e-93

Results

16.0ms

384×

valid

Compiler

Compiled 300 to 249 computations (17% saved)

Precisions

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

ival-div: 3.0ms (52.4% of total)

ival-add: 2.0ms (34.9% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	1.0780822955767275e-35	9.773677482306133e-33
9.0ms	8.875459205180741e-72	5.526441607351842e-70
10.0ms	2.02633460940524e-98	5.26950330497773e-93

Results

16.0ms

384×

valid

Compiler

Compiled 300 to 249 computations (17% saved)

Precisions

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

ival-div: 3.0ms (53.3% of total)

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

const: 0.0ms (0% of total)

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

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 65 to 46 computations (29.2% saved)

preprocess43.0ms (0.5%)

Remove: (sort x y)
Compiler: Compiled 216 to 158 computations (26.9% saved)

analyze0.0ms (0%)

sample524.0ms (6.3%)

preprocess24.0ms (0.3%)

explain77.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize48.0ms (0.6%)

series4.0ms (0%)

rewrite661.0ms (7.9%)

simplify868.0ms (10.4%)

eval171.0ms (2%)

prune61.0ms (0.7%)

localize1.1s (12.8%)

series17.0ms (0.2%)

rewrite589.0ms (7.1%)

simplify472.0ms (5.7%)

eval184.0ms (2.2%)

prune197.0ms (2.4%)

localize377.0ms (4.5%)

series11.0ms (0.1%)

rewrite589.0ms (7.1%)

simplify384.0ms (4.6%)

eval176.0ms (2.1%)

prune72.0ms (0.9%)

localize223.0ms (2.7%)

series9.0ms (0.1%)

rewrite722.0ms (8.7%)

simplify313.0ms (3.8%)

eval152.0ms (1.8%)

prune187.0ms (2.2%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes1.0ms (0%)

bsearch33.0ms (0.4%)

bsearch31.0ms (0.4%)

soundness1.0ms (0%)

preprocess43.0ms (0.5%)

end0.0ms (0%)

Profiling