Metrics for Text.Parsec.Token:makeTokenParser from parsec-3.1.9, A

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample487.0ms (6%)

Memory

20.5MiB live, 630.7MiB allocated

Samples

299.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-div: 63.0ms (49.3% of total)

ival-add: 52.0ms (40.7% of total)

ival-true: 5.0ms (3.9% of total)

exact: 5.0ms (3.9% of total)

ival-assert: 3.0ms (2.3% of total)

Bogosity

preprocess20.0ms (0.2%)

Memory

31.8MiB live, 31.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	35	25
2	66	25
3	139	25
4	348	25
5	523	25
6	555	25
7	572	25
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))

Symmetry

(sort x y)

explain66.0ms (0.8%)

Memory

-3.0MiB live, 79.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

40.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (49.5% of total)

ival-add: 3.0ms (37.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

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)

simplify18.0ms (0.2%)

Memory

-34.3MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

localize15.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (55.8% of total)

ival-add: 1.0ms (27.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

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	@	0	(/ (+ x y) 10)
0.0ms	x	@	inf	(+ x y)

rewrite391.0ms (4.8%)

Memory

-15.8MiB live, 396.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 140×	`/-lowering-/.f32`
5 140×	`/-lowering-/.f64`
3 858×	`accelerator-lowering-fma.f32`
3 858×	`accelerator-lowering-fma.f64`
3 450×	`-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 1/10 binary64)))
(+.f64 (.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 1/10 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 (neg.f64 (log.f64 (.f64 (+.f64 x y) #s(literal 1/10 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) #s(literal -1/10 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 x y) #s(literal -1/10 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) #s(literal 1/10 binary64)) (.f64 (/.f64 (.f64 y y) (-.f64 x y)) #s(literal 1/10 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 (neg.f64 y) #s(literal -10 binary64)) (/.f64 x #s(literal -10 binary64)))
(-.f64 (/.f64 (neg.f64 x) #s(literal -10 binary64)) (/.f64 y #s(literal -10 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (neg.f64 (-.f64 x y))) #s(literal -10 binary64)) (/.f64 (/.f64 (.f64 y y) (neg.f64 (-.f64 x y))) #s(literal -10 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (.f64 #s(literal 10 binary64) (fma.f64 x x (.f64 y (-.f64 y x))))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (.f64 #s(literal 10 binary64) (fma.f64 x x (.f64 y (-.f64 y x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (.f64 #s(literal -10 binary64) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x)))))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (.f64 #s(literal -10 binary64) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.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))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 x x (.f64 y y))))) (.f64 #s(literal 10 binary64) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 10 binary64) (-.f64 x y))) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 x x (.f64 y y))) (.f64 #s(literal 10 binary64) (-.f64 x y))))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal -10 binary64) (neg.f64 (-.f64 x y)))) (/.f64 (.f64 y y) (.f64 #s(literal -10 binary64) (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 x x (.f64 y y))))) (.f64 #s(literal -10 binary64) (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 x x (.f64 y y))))) (.f64 #s(literal -10 binary64) (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x x (.f64 y y))) (.f64 #s(literal -10 binary64) (neg.f64 (-.f64 x y)))) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 x x (.f64 y y))) (.f64 #s(literal -10 binary64) (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal 10 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))))) (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (neg.f64 (.f64 #s(literal 10 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 10 binary64) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x)))))) (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 #s(literal 10 binary64) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -10 binary64) (fma.f64 x x (.f64 y (-.f64 y x))))) (*.f64 (+.f64 x y) #s(literal -1/10 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 #s(literal 10 binary64) (-.f64 x y)))) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (*.f64 #s(literal 10 binary64) (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 10 binary64) (neg.f64 (-.f64 x y)))) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 #s(literal 10 binary64) (neg.f64 (-.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -10 binary64) (-.f64 x y))) (.f64 (+.f64 x y) #s(literal -1/10 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 10 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 #s(literal 10 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 #s(literal 10 binary64) (-.f64 x y)) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.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)) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.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)) (fma.f64 x x (.f64 y y)))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 (.f64 #s(literal 10 binary64) (-.f64 x y)) (fma.f64 x x (.f64 y y)))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) #s(literal 1/10 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 (.f64 y y) (-.f64 x y)) #s(literal 1/10 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 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1/10 binary64)) (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 1/10 binary64))))
(neg.f64 (*.f64 (+.f64 x y) #s(literal -1/10 binary64)))
(/.f64 (+.f64 x y) #s(literal 10 binary64))
(/.f64 (*.f64 (+.f64 x y) #s(literal 1/10 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 y) x) #s(literal -10 binary64))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 #s(literal 10 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 #s(literal -10 binary64) (neg.f64 (fma.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) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x))))) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -10 binary64) (neg.f64 (-.f64 x y))) (.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 10 binary64) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x))))) (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -10 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))) (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 10 binary64) (neg.f64 (-.f64 x y))) (neg.f64 (.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -10 binary64) (-.f64 x y)) (neg.f64 (.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 10 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))) (fma.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.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) (fma.f64 x x (.f64 y (-.f64 y x)))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 10 binary64) (-.f64 x y)) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 x x (.f64 y y))))) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 10 binary64) (-.f64 y x)) (.f64 (+.f64 x y) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 10 binary64) (-.f64 x y)) (fma.f64 x x (.f64 y y))) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x)))) (.f64 #s(literal 1/10 binary64) (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 x y)) (.f64 #s(literal 1/10 binary64) (neg.f64 (.f64 (+.f64 x y) (-.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (.f64 #s(literal 1/10 binary64) (.f64 (+.f64 x y) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x)))) (.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y)))) #s(literal 1/10 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 x y)) (.f64 (neg.f64 (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1/10 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1/10 binary64))))
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(.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))))
(.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(.f64 (neg.f64 (neg.f64 (.f64 (+.f64 x y) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (neg.f64 (.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.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) (fma.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (fma.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) (fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))))
(.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))))
(.f64 (/.f64 (fma.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))))) (fma.f64 x x (.f64 y (-.f64 y x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (.f64 y (-.f64 y x)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))))
(.f64 (/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 x x (.f64 y y))))))
(.f64 (/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (-.f64 y x)) (.f64 (.f64 y (-.f64 y x)) (.f64 y (-.f64 y x)))))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 y x))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (+.f64 x y) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (pow.f64 (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.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) (fma.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (.f64 y y) (fma.f64 x x (.f64 y y))))))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))

simplify531.0ms (6.5%)

Memory

-3.0MiB live, 545.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 664×	`accelerator-lowering-fma.f32`
17 664×	`accelerator-lowering-fma.f64`
2 856×	`+-lowering-+.f64`
2 856×	`+-lowering-+.f32`
2 768×	`-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)

eval97.0ms (1.2%)

Memory: 1.3MiB live, 91.4MiB allocated
Compiler: Compiled 10 930 to 1 090 computations (90% saved)

prune52.0ms (0.6%)

Memory

2.2MiB live, 116.0MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	412	7	419
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	412	8	420

Accuracy

100.0%

Counts

420 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(fma.f64 x #s(literal 1/10 binary64) (*.f64 y #s(literal 1/10 binary64)))
✓	100.0%	(/.f64 (+.f64 x y) #s(literal 10 binary64))
	58.8%	(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) #s(literal 1/10 binary64))) (-.f64 x y))
	48.0%	(/.f64 y #s(literal 10 binary64))
▶	54.1%	(/.f64 x #s(literal 10 binary64))
▶	99.5%	(*.f64 (+.f64 x y) #s(literal 1/10 binary64))
▶	47.8%	(*.f64 #s(literal 1/10 binary64) y)
▶	53.9%	(*.f64 #s(literal 1/10 binary64) x)

Compiler

Compiled 107 to 73 computations (31.8% saved)

simplify4.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x #s(literal 10 binary64))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 (+.f64 x y) #s(literal 1/10 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/10 binary64) y)
✓	cost-diff	0	(*.f64 #s(literal 1/10 binary64) x)
✓	cost-diff	0	(*.f64 y #s(literal 1/10 binary64))
✓	cost-diff	192	(fma.f64 x #s(literal 1/10 binary64) (*.f64 y #s(literal 1/10 binary64)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	15	37
0	15	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize50.0ms (0.6%)

Memory

3.0MiB live, 48.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x #s(literal 10 binary64))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	99.5%	(*.f64 (+.f64 x y) #s(literal 1/10 binary64))
✓	accuracy	99.5%	(*.f64 #s(literal 1/10 binary64) y)
✓	accuracy	99.5%	(*.f64 #s(literal 1/10 binary64) x)
✓	accuracy	99.7%	(fma.f64 x #s(literal 1/10 binary64) (*.f64 y #s(literal 1/10 binary64)))
✓	accuracy	99.5%	(*.f64 y #s(literal 1/10 binary64))

Samples

37.0ms

256×

valid

Compiler

Compiled 40 to 14 computations (65% saved)

Precisions

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

const: 15.0ms (56% of total)

ival-mult: 8.0ms (29.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

7 → 120

Calls

Call 1

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

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 (* 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 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)))>
#<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)>

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (* x 1/10) (* y 1/10))
0.0ms	y	@	-inf	(* y 1/10)
0.0ms	y	@	inf	(* y 1/10)
0.0ms	y	@	0	(+ (* x 1/10) (* y 1/10))
0.0ms	x	@	inf	(+ (* x 1/10) (* y 1/10))

rewrite485.0ms (5.9%)

Memory

-14.3MiB live, 375.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 028×	`accelerator-lowering-fma.f32`
6 028×	`accelerator-lowering-fma.f64`
4 750×	`-lowering-.f32`
4 750×	`-lowering-.f64`
2 202×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	48	25
2	386	25
3	5568	25
0	8562	25

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 386

Calls

Call 1

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

Outputs
(+.f64 (.f64 x #s(literal 1/10 binary64)) (.f64 #s(literal 1/10 binary64) y))
(+.f64 (.f64 #s(literal 1/10 binary64) y) (.f64 x #s(literal 1/10 binary64)))
(+.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 x x) (-.f64 x y))) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 y y) (-.f64 x y)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/10 binary64) (+.f64 x y)))) #s(literal -1 binary64)))
(-.f64 (.f64 #s(literal 1/10 binary64) y) (.f64 x #s(literal -1/10 binary64)))
(-.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 x x) (-.f64 x y))) (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 y y) (-.f64 x y))))
(-.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/100 binary64))) (.f64 #s(literal 1/10 binary64) (-.f64 y x))) (/.f64 (.f64 x (.f64 x #s(literal 1/100 binary64))) (.f64 #s(literal 1/10 binary64) (-.f64 y x))))
(fma.f64 x #s(literal 1/10 binary64) (*.f64 #s(literal 1/10 binary64) y))
(fma.f64 x (/.f64 (.f64 x #s(literal 1/100 binary64)) (.f64 #s(literal 1/10 binary64) (-.f64 x y))) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 y y) (-.f64 x y)))))
(fma.f64 x (exp.f64 (log.f64 #s(literal 1/10 binary64))) (*.f64 #s(literal 1/10 binary64) 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 x #s(literal 1/10 binary64)))
(fma.f64 #s(literal 1/10 binary64) (/.f64 (.f64 x x) (-.f64 x y)) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 #s(literal 1/10 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/10 binary64))) (.f64 #s(literal 1/10 binary64) (-.f64 x y))) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 (.f64 x #s(literal 1/10 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/10 binary64) y))
(fma.f64 (.f64 x #s(literal 1/10 binary64)) (/.f64 (.f64 x #s(literal 1/10 binary64)) (.f64 #s(literal 1/10 binary64) (-.f64 x y))) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 y #s(literal 1/10 binary64) (*.f64 x #s(literal 1/10 binary64)))
(fma.f64 y (exp.f64 (log.f64 #s(literal 1/10 binary64))) (*.f64 x #s(literal 1/10 binary64)))
(fma.f64 (.f64 #s(literal 1/10 binary64) y) #s(literal 1 binary64) (.f64 x #s(literal 1/10 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/10 binary64) (*.f64 #s(literal 1/10 binary64) y))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/100 binary64) (.f64 #s(literal 1/10 binary64) (-.f64 x y))) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 y y) (-.f64 x y)))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/100 binary64))) (/.f64 #s(literal 10 binary64) (-.f64 x y)) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 y y) (-.f64 x y)))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/10 binary64)) (.f64 #s(literal 1/10 binary64) y))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/10 binary64) y) (.f64 x #s(literal 1/10 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/10 binary64))) (-.f64 x y)) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 y y) (-.f64 x y)))))
(fma.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/10 binary64)) (.f64 #s(literal 1/10 binary64) y))
(fma.f64 #s(literal -1/10 binary64) (neg.f64 x) (*.f64 #s(literal 1/10 binary64) y))
(fma.f64 #s(literal 1/100 binary64) (/.f64 (.f64 x x) (.f64 #s(literal 1/10 binary64) (-.f64 x y))) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 y y) (-.f64 x y)))))
(fma.f64 (.f64 x #s(literal 1/100 binary64)) (/.f64 x (.f64 #s(literal 1/10 binary64) (-.f64 x y))) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 y y) (-.f64 x y)))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/10 binary64))) (/.f64 #s(literal 1/10 binary64) (.f64 #s(literal 1/10 binary64) (-.f64 x y))) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 (/.f64 x #s(literal 1/10 binary64)) (/.f64 (.f64 x #s(literal 1/100 binary64)) (-.f64 x y)) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x #s(literal 1/10 binary64)) #s(literal 1/10 binary64)) (/.f64 (.f64 x #s(literal 1/10 binary64)) (-.f64 x y)) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 y y) (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) #s(literal 1/10 binary64)) (/.f64 #s(literal 1/100 binary64) (-.f64 x y)) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/10 binary64))) #s(literal 1/10 binary64)) (/.f64 #s(literal 1/10 binary64) (-.f64 x y)) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 y y) (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x #s(literal 1/100 binary64)) #s(literal 1/10 binary64)) (/.f64 x (-.f64 x y)) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 (pow.f64 (.f64 x #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 x #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/10 binary64) y))
(fma.f64 (.f64 #s(literal 1 binary64) y) #s(literal 1/10 binary64) (.f64 x #s(literal 1/10 binary64)))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/100 binary64))) (.f64 #s(literal 1/100 binary64) (.f64 (+.f64 x y) (-.f64 x y)))) (.f64 #s(literal 1/10 binary64) (+.f64 x y)) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/100 binary64))) (.f64 #s(literal 1/1000 binary64) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)))) (fma.f64 (.f64 y #s(literal 1/100 binary64)) (+.f64 x y) (.f64 x (.f64 x #s(literal 1/100 binary64)))) (neg.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 y y) (-.f64 x y)))))
(fma.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 #s(literal -1/10 binary64))) (*.f64 #s(literal 1/10 binary64) y))
(fma.f64 (exp.f64 (log.f64 #s(literal 1/10 binary64))) x (*.f64 #s(literal 1/10 binary64) y))
(fma.f64 (exp.f64 (log.f64 #s(literal 1/10 binary64))) y (*.f64 x #s(literal 1/10 binary64)))
(neg.f64 (/.f64 (.f64 #s(literal 1/1000 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/100 binary64)) (.f64 (*.f64 y #s(literal 1/100 binary64)) (-.f64 y x))))))
(neg.f64 (/.f64 (.f64 #s(literal 1/100 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (*.f64 #s(literal -1/10 binary64) (-.f64 x y))))
(neg.f64 (/.f64 (.f64 #s(literal 1/1000 binary64) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x (.f64 x #s(literal 1/100 binary64)) (.f64 (.f64 y #s(literal 1/100 binary64)) (-.f64 y x)))))
(neg.f64 (/.f64 (neg.f64 (.f64 #s(literal 1/100 binary64) (.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 #s(literal 1/10 binary64) (-.f64 x y))))
(/.f64 #s(literal 1/10 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (.f64 #s(literal 1/1000 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 x (.f64 x #s(literal 1/100 binary64)) (.f64 (*.f64 y #s(literal 1/100 binary64)) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/10 binary64) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/10 binary64) (+.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/10 binary64) (-.f64 y x)) (.f64 #s(literal 1/100 binary64) (*.f64 (+.f64 x y) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (.f64 #s(literal 1/10 binary64) (.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 #s(literal 1/10 binary64) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))))
(/.f64 (.f64 #s(literal 1/100 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (*.f64 #s(literal 1/10 binary64) (-.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/10 binary64) (+.f64 x y)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/100 binary64) (.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 #s(literal -1/10 binary64) (-.f64 x y)))
(/.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1/1000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/1000000000 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 1/100 binary64)) (.f64 (.f64 y #s(literal 1/100 binary64)) (-.f64 y x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1000000 binary64)) (.f64 (.f64 y (.f64 (.f64 y y) #s(literal 1/1000 binary64))) (-.f64 (.f64 y (.f64 (.f64 y y) #s(literal 1/1000 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/1000 binary64))))))))
(/.f64 (.f64 #s(literal 1/1000 binary64) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/100 binary64)) (.f64 (.f64 y #s(literal 1/100 binary64)) (-.f64 y x)))))
(/.f64 (.f64 (.f64 #s(literal 1/1000 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/1000 binary64) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)))) (.f64 (fma.f64 x (.f64 x #s(literal 1/100 binary64)) (.f64 (.f64 y #s(literal 1/100 binary64)) (-.f64 y x))) (.f64 #s(literal 1/1000 binary64) (.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))))
(/.f64 (.f64 (.f64 #s(literal 1/1000 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/1000 binary64) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)))) (.f64 (.f64 #s(literal 1/10 binary64) (-.f64 x y)) (fma.f64 (.f64 y (.f64 y #s(literal 1/100 binary64))) (.f64 #s(literal 1/100 binary64) (fma.f64 y y (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/10000 binary64)))))
(/.f64 (.f64 #s(literal 1/100 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (*.f64 #s(literal 1/10 binary64) (-.f64 y x)))
(/.f64 (.f64 (.f64 #s(literal 1/100 binary64) (fma.f64 y y (.f64 x x))) (.f64 #s(literal 1/100 binary64) (.f64 (+.f64 x y) (-.f64 x y)))) (.f64 (.f64 #s(literal 1/10 binary64) (-.f64 x y)) (.f64 #s(literal 1/100 binary64) (fma.f64 y y (*.f64 x x)))))
(/.f64 (.f64 #s(literal 1/10 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(/.f64 (.f64 #s(literal 1/10 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/100 binary64))) (.f64 #s(literal 1/10 binary64) (-.f64 x y))) (.f64 (.f64 #s(literal 1/10 binary64) (-.f64 x y)) (.f64 y (.f64 y #s(literal 1/100 binary64))))) (.f64 (.f64 #s(literal 1/10 binary64) (-.f64 x y)) (*.f64 #s(literal 1/10 binary64) (-.f64 x y))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1/1000000000 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1/1000000000 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1000000 binary64)) (.f64 (.f64 y (.f64 (.f64 y y) #s(literal 1/1000 binary64))) (-.f64 (.f64 y (.f64 (.f64 y y) #s(literal 1/1000 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/1000 binary64)))))) (fma.f64 x (.f64 x #s(literal 1/100 binary64)) (.f64 (*.f64 y #s(literal 1/100 binary64)) (-.f64 y x)))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/1000 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/1000 binary64) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/1000 binary64) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x (.f64 x #s(literal 1/100 binary64)) (.f64 (.f64 y #s(literal 1/100 binary64)) (-.f64 y x)))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/1000 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/1000 binary64) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (.f64 y #s(literal 1/100 binary64))) (.f64 #s(literal 1/100 binary64) (fma.f64 y y (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/10000 binary64))) (*.f64 #s(literal 1/10 binary64) (-.f64 x y))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/100 binary64) (fma.f64 y y (.f64 x x))) (.f64 #s(literal 1/100 binary64) (.f64 (+.f64 x y) (-.f64 x y)))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/100 binary64) (fma.f64 y y (.f64 x x))) (.f64 #s(literal 1/10 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (.f64 #s(literal 1/1000 binary64) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/100 binary64)) (.f64 (.f64 y #s(literal 1/100 binary64)) (-.f64 y x))))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/100 binary64) (.f64 (+.f64 x y) (-.f64 x y))))) (neg.f64 (*.f64 #s(literal -1/10 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (.f64 #s(literal 1/100 binary64) (.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (*.f64 #s(literal 1/10 binary64) (-.f64 y x))))
(/.f64 (neg.f64 (.f64 #s(literal 1/10 binary64) (.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (.f64 #s(literal 1/10 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (-.f64 (.f64 #s(literal 1/1000 binary64) (.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y))) (/.f64 (.f64 x x) (-.f64 x y)))) (.f64 #s(literal 1/1000 binary64) (.f64 (.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y))) (/.f64 (.f64 y y) (-.f64 x y))))) (fma.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 x x) (-.f64 x y))) (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 x x) (-.f64 x y))) (fma.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 y y) (-.f64 x y))) (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 y y) (-.f64 x y))) (.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 x x) (-.f64 x y))) (.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 x y)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 x x) (-.f64 x y))) (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 x x) (-.f64 x y)))) (.f64 (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 y y) (-.f64 x y))) (.f64 #s(literal 1/10 binary64) (/.f64 (.f64 y y) (-.f64 x y))))) (fma.f64 #s(literal 1/10 binary64) (/.f64 (.f64 x x) (-.f64 x y)) (.f64 #s(literal 1/10 binary64) (/.f64 (*.f64 y y) (-.f64 x y)))))
(/.f64 (.f64 #s(literal 1/10 binary64) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (.f64 #s(literal 1/10 binary64) (neg.f64 (.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 #s(literal 1/10 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(/.f64 (.f64 (.f64 #s(literal 1/1000 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (fma.f64 x (.f64 x #s(literal 1/100 binary64)) (.f64 (.f64 y #s(literal 1/100 binary64)) (-.f64 y x))))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)) #s(literal 1/10 binary64)) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1/10 binary64)) (neg.f64 (-.f64 x y)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1/10 binary64)) (-.f64 y x))
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(fma.f64 (/.f64 (.f64 x x) (.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (.f64 y (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y)))))
(neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))))
(/.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))) (-.f64 x y)))
(/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 x y)))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.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 y y) (-.f64 x y)))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (fma.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)))) (fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 y y (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64))
(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y)))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (neg.f64 (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y)))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (-.f64 y x) (-.f64 y x)) (-.f64 y x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/10 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1/10 binary64))) #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)))
(neg.f64 (.f64 (.f64 x #s(literal -1/10 binary64)) #s(literal 1 binary64)))
(/.f64 x #s(literal 10 binary64))
(/.f64 x (exp.f64 (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal 1/10 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) #s(literal -10 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -10 binary64) x))
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 #s(literal -10 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -1/10 binary64))))))
(pow.f64 (*.f64 x #s(literal 1/10 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 10 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 100 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 x #s(literal 1/10 binary64)))))
(*.f64 x #s(literal 1/10 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal 1/10 binary64))))
(*.f64 #s(literal 1/10 binary64) x)
(.f64 (.f64 x #s(literal 1/10 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) #s(literal -1/10 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/10 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/10 binary64)))
(*.f64 #s(literal -1/10 binary64) (neg.f64 x))
(.f64 (pow.f64 (.f64 x #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/10 binary64)) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 #s(literal -1/10 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/10 binary64))) x)

simplify2.1s (25.5%)

Memory

17.3MiB live, 653.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 664×	`accelerator-lowering-fma.f32`
17 664×	`accelerator-lowering-fma.f64`
2 856×	`+-lowering-+.f64`
2 856×	`+-lowering-+.f32`
2 768×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	420
1	115	420
2	264	420
3	783	420
4	1834	420
5	2668	420
6	3340	420
7	3639	420
8	3801	420
9	3837	420
10	6026	420
0	8686	420

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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)))
(* 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 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)))
(* 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)

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))
(* 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 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)
(* 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)

eval63.0ms (0.8%)

Memory: -13.0MiB live, 109.0MiB allocated
Compiler: Compiled 8 455 to 596 computations (93% saved)

prune33.0ms (0.4%)

Memory

2.1MiB live, 79.5MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	506	0	506
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	506	8	514

Accuracy

100.0%

Counts

514 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(fma.f64 x #s(literal 1/10 binary64) (*.f64 y #s(literal 1/10 binary64)))
✓	100.0%	(/.f64 (+.f64 x y) #s(literal 10 binary64))
▶	58.8%	(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) #s(literal 1/10 binary64))) (-.f64 x y))
▶	48.0%	(/.f64 y #s(literal 10 binary64))
✓	54.1%	(/.f64 x #s(literal 10 binary64))
✓	99.5%	(*.f64 (+.f64 x y) #s(literal 1/10 binary64))
✓	47.8%	(*.f64 #s(literal 1/10 binary64) y)
✓	53.9%	(*.f64 #s(literal 1/10 binary64) x)

Compiler

Compiled 57 to 39 computations (31.6% saved)

simplify204.0ms (2.5%)

Memory

13.2MiB live, 289.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (-.f64 x y) #s(literal 1/10 binary64))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(.f64 (+.f64 x y) (.f64 (-.f64 x y) #s(literal 1/10 binary64)))
✓	cost-diff	1408	(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) #s(literal 1/10 binary64))) (-.f64 x y))
✓	cost-diff	0	(/.f64 y #s(literal 10 binary64))

Rules

5 304×	`accelerator-lowering-fma.f32`
5 304×	`accelerator-lowering-fma.f64`
4 464×	`-lowering-.f32`
4 464×	`-lowering-.f64`
2 014×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	19	41
2	59	33
3	226	33
4	716	33
5	3062	33
0	8242	33

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize35.0ms (0.4%)

Memory

1.8MiB live, 39.4MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	99.8%	(.f64 (+.f64 x y) (.f64 (-.f64 x y) #s(literal 1/10 binary64)))
✓	accuracy	99.5%	(*.f64 (-.f64 x y) #s(literal 1/10 binary64))
✓	accuracy	58.9%	(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) #s(literal 1/10 binary64))) (-.f64 x y))
✓	accuracy	100.0%	(/.f64 y #s(literal 10 binary64))

Samples

21.0ms

256×

valid

Compiler

Compiled 43 to 12 computations (72.1% saved)

Precisions

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

ival-div: 4.0ms (30.5% of total)

ival-mult: 3.0ms (22.9% of total)

const: 3.0ms (22.9% of total)

ival-sub: 1.0ms (7.6% of total)

ival-add: 1.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

5 → 108

Calls

Call 1

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

Outputs
#<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) (* 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 (* -1/10 (pow y 2))>
#<alt (+ (* -1/10 (pow y 2)) (* 1/10 (* x (+ y (* -1 y)))))>
#<alt (+ (* -1/10 (pow y 2)) (* x (+ (* 1/10 x) (* 1/10 (+ y (* -1 y))))))>
#<alt (+ (* -1/10 (pow y 2)) (* x (+ (* 1/10 x) (* 1/10 (+ y (* -1 y))))))>
#<alt (* 1/10 (pow x 2))>
#<alt (* (pow x 2) (+ 1/10 (* 1/10 (/ (+ y (* -1 y)) x))))>
#<alt (* (pow x 2) (+ 1/10 (+ (* -1/10 (/ (pow y 2) (pow x 2))) (* 1/10 (/ (+ y (* -1 y)) x)))))>
#<alt (* (pow x 2) (+ 1/10 (+ (* -1/10 (/ (pow y 2) (pow x 2))) (* 1/10 (/ (+ y (* -1 y)) x)))))>
#<alt (* 1/10 (pow x 2))>
#<alt (* (pow x 2) (+ 1/10 (* 1/10 (/ (+ y (* -1 y)) x))))>
#<alt (* (pow x 2) (+ 1/10 (* -1 (/ (+ (* -1/10 (+ y (* -1 y))) (* 1/10 (/ (pow y 2) x))) x))))>
#<alt (* (pow x 2) (+ 1/10 (* -1 (/ (+ (* -1/10 (+ y (* -1 y))) (* 1/10 (/ (pow y 2) x))) x))))>
#<alt (* 1/10 (pow x 2))>
#<alt (+ (* 1/10 (* y (+ x (* -1 x)))) (* 1/10 (pow x 2)))>
#<alt (+ (* 1/10 (pow x 2)) (* y (+ (* -1/10 y) (* 1/10 (+ x (* -1 x))))))>
#<alt (+ (* 1/10 (pow x 2)) (* y (+ (* -1/10 y) (* 1/10 (+ x (* -1 x))))))>
#<alt (* -1/10 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/10 (/ (+ x (* -1 x)) y)) 1/10))>
#<alt (* (pow y 2) (- (+ (* 1/10 (/ (+ x (* -1 x)) y)) (* 1/10 (/ (pow x 2) (pow y 2)))) 1/10))>
#<alt (* (pow y 2) (- (+ (* 1/10 (/ (+ x (* -1 x)) y)) (* 1/10 (/ (pow x 2) (pow y 2)))) 1/10))>
#<alt (* -1/10 (pow y 2))>
#<alt (* (pow y 2) (- (* -1/10 (/ (+ x (* -1 x)) y)) 1/10))>
#<alt (* (pow y 2) (- (* -1 (/ (+ (* -1/10 (/ (pow x 2) y)) (* 1/10 (+ x (* -1 x)))) y)) 1/10))>
#<alt (* (pow y 2) (- (* -1 (/ (+ (* -1/10 (/ (pow x 2) y)) (* 1/10 (+ x (* -1 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)))>
#<alt (* -1/10 y)>
#<alt (+ (* -1/10 y) (* 1/10 x))>
#<alt (+ (* -1/10 y) (* 1/10 x))>
#<alt (+ (* -1/10 y) (* 1/10 x))>
#<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 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 (/ x y)) 1/10))>
#<alt (* y (- (* 1/10 (/ x y)) 1/10))>
#<alt (* y (- (* 1/10 (/ x y)) 1/10))>
#<alt (* -1/10 y)>
#<alt (* -1 (* y (+ 1/10 (* -1/10 (/ x y)))))>
#<alt (* -1 (* y (+ 1/10 (* -1/10 (/ x y)))))>
#<alt (* -1 (* y (+ 1/10 (* -1/10 (/ x y)))))>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/ (* (+ x y) (* (- x y) 1/10)) (- x y))
0.0ms	x	@	0	(* (+ x y) (* (- x y) 1/10))
0.0ms	x	@	inf	(* (+ x y) (* (- x y) 1/10))
0.0ms	x	@	-inf	(* (+ x y) (* (- x y) 1/10))
0.0ms	y	@	0	(* (+ x y) (* (- x y) 1/10))

rewrite241.0ms (3%)

Memory

-11.1MiB live, 311.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 638×	`-lowering-.f32`
4 638×	`-lowering-.f64`
2 946×	`/-lowering-/.f32`
2 946×	`/-lowering-/.f64`
2 456×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	51	33
2	397	25
3	6042	25
0	8569	25

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 499

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 y #s(literal 1/10 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/10 binary64)))
(neg.f64 (*.f64 y #s(literal -1/10 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -1/10 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 10 binary64) y)))
(/.f64 y #s(literal 10 binary64))
(/.f64 #s(literal 1/10 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 y) #s(literal -10 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -10 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -10 binary64))
(pow.f64 (*.f64 y #s(literal 1/10 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 10 binary64) y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 10 binary64) y) (/.f64 #s(literal 10 binary64) y)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 1/10 binary64))))) #s(literal -1 binary64))
(*.f64 y #s(literal 1/10 binary64))
(.f64 (.f64 y #s(literal 1/10 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/10 binary64) y)
(*.f64 (neg.f64 y) #s(literal -1/10 binary64))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/10 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal -1/10 binary64)))
(*.f64 #s(literal -1/10 binary64) (neg.f64 y))
(.f64 (pow.f64 (.f64 y #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/10 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1/10 binary64))
(+.f64 (.f64 y #s(literal 1/10 binary64)) (.f64 x #s(literal 1/10 binary64)))
(+.f64 (.f64 x #s(literal 1/10 binary64)) (.f64 y #s(literal 1/10 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 y (.f64 (-.f64 x y) #s(literal 1/10 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 x (.f64 (-.f64 x y) #s(literal 1/10 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 x (.f64 (-.f64 x y) #s(literal 1/10 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 y (.f64 (-.f64 x y) #s(literal 1/10 binary64)))))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x (+.f64 y x)))) #s(literal 1/10 binary64)) (.f64 x x)) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x (+.f64 y x)))) #s(literal 1/10 binary64)) (.f64 y (+.f64 y x))))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x (+.f64 y x)))) #s(literal 1/10 binary64)) (.f64 y (+.f64 y x))) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x (+.f64 y x)))) #s(literal 1/10 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x (+.f64 y x)))) #s(literal 1/10 binary64)) (fma.f64 y y (.f64 x x))) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x (+.f64 y x)))) #s(literal 1/10 binary64)) (.f64 y x)))
(+.f64 (.f64 (.f64 y (.f64 (-.f64 x y) #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 (.f64 x (.f64 (-.f64 x y) #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(+.f64 (.f64 (.f64 x (.f64 (-.f64 x y) #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (.f64 (.f64 y (.f64 (-.f64 x y) #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(+.f64 (.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x (+.f64 y x)))) #s(literal 1/10 binary64))) (.f64 (.f64 y (+.f64 y x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x (+.f64 y x)))) #s(literal 1/10 binary64))))
(+.f64 (.f64 (.f64 y (+.f64 y x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x (+.f64 y x)))) #s(literal 1/10 binary64))) (.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x (+.f64 y x)))) #s(literal 1/10 binary64))))
(+.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x (+.f64 y x)))) #s(literal 1/10 binary64))) (.f64 (.f64 y x) (.f64 (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x (+.f64 y x)))) #s(literal 1/10 binary64))))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (+.f64 y x) #s(literal 1/10 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/10 binary64) (+.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 y x)) (*.f64 #s(literal -1/10 binary64) (+.f64 y x)))
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(.f64 (/.f64 (.f64 (+.f64 y x) (.f64 (-.f64 x y) #s(literal 1/10 binary64))) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x))) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(.f64 (/.f64 (.f64 #s(literal 1/10 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 (.f64 y (+.f64 y x)) (.f64 (.f64 y (+.f64 y x)) (.f64 y (+.f64 y x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 y (+.f64 y x)) (-.f64 (.f64 y (+.f64 y x)) (.f64 x x)) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 (.f64 #s(literal 1/10 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (-.f64 (.f64 x x) (*.f64 y (+.f64 y x))))
(.f64 (/.f64 (.f64 (+.f64 y x) #s(literal 1/10 binary64)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (.f64 x x)))))

simplify416.0ms (5.1%)

Memory

22.0MiB live, 533.8MiB allocated

Algorithm

1×	egg-herbie

Rules

22 694×	`accelerator-lowering-fma.f32`
22 694×	`accelerator-lowering-fma.f64`
2 964×	`-lowering-.f32`
2 964×	`-lowering-.f64`
2 024×	`--lowering--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	109	588
1	344	564
2	955	504
3	2449	492
4	5423	480
0	8280	480

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* 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 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)))
(* -1/10 (pow y 2))
(+ (* -1/10 (pow y 2)) (* 1/10 (* x (+ y (* -1 y)))))
(+ (* -1/10 (pow y 2)) (* x (+ (* 1/10 x) (* 1/10 (+ y (* -1 y))))))
(+ (* -1/10 (pow y 2)) (* x (+ (* 1/10 x) (* 1/10 (+ y (* -1 y))))))
(* 1/10 (pow x 2))
(* (pow x 2) (+ 1/10 (* 1/10 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (+ 1/10 (+ (* -1/10 (/ (pow y 2) (pow x 2))) (* 1/10 (/ (+ y (* -1 y)) x)))))
(* (pow x 2) (+ 1/10 (+ (* -1/10 (/ (pow y 2) (pow x 2))) (* 1/10 (/ (+ y (* -1 y)) x)))))
(* 1/10 (pow x 2))
(* (pow x 2) (+ 1/10 (* 1/10 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (+ 1/10 (* -1 (/ (+ (* -1/10 (+ y (* -1 y))) (* 1/10 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1/10 (* -1 (/ (+ (* -1/10 (+ y (* -1 y))) (* 1/10 (/ (pow y 2) x))) x))))
(* 1/10 (pow x 2))
(+ (* 1/10 (* y (+ x (* -1 x)))) (* 1/10 (pow x 2)))
(+ (* 1/10 (pow x 2)) (* y (+ (* -1/10 y) (* 1/10 (+ x (* -1 x))))))
(+ (* 1/10 (pow x 2)) (* y (+ (* -1/10 y) (* 1/10 (+ x (* -1 x))))))
(* -1/10 (pow y 2))
(* (pow y 2) (- (* 1/10 (/ (+ x (* -1 x)) y)) 1/10))
(* (pow y 2) (- (+ (* 1/10 (/ (+ x (* -1 x)) y)) (* 1/10 (/ (pow x 2) (pow y 2)))) 1/10))
(* (pow y 2) (- (+ (* 1/10 (/ (+ x (* -1 x)) y)) (* 1/10 (/ (pow x 2) (pow y 2)))) 1/10))
(* -1/10 (pow y 2))
(* (pow y 2) (- (* -1/10 (/ (+ x (* -1 x)) y)) 1/10))
(* (pow y 2) (- (* -1 (/ (+ (* -1/10 (/ (pow x 2) y)) (* 1/10 (+ x (* -1 x)))) y)) 1/10))
(* (pow y 2) (- (* -1 (/ (+ (* -1/10 (/ (pow x 2) y)) (* 1/10 (+ x (* -1 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)))
(* -1/10 y)
(+ (* -1/10 y) (* 1/10 x))
(+ (* -1/10 y) (* 1/10 x))
(+ (* -1/10 y) (* 1/10 x))
(* 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 y) (* 1/10 x))
(+ (* -1/10 y) (* 1/10 x))
(+ (* -1/10 y) (* 1/10 x))
(* -1/10 y)
(* y (- (* 1/10 (/ x y)) 1/10))
(* y (- (* 1/10 (/ x y)) 1/10))
(* y (- (* 1/10 (/ x y)) 1/10))
(* -1/10 y)
(* -1 (* y (+ 1/10 (* -1/10 (/ x y)))))
(* -1 (* y (+ 1/10 (* -1/10 (/ x y)))))
(* -1 (* y (+ 1/10 (* -1/10 (/ x y)))))

Outputs
(* 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) (* 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))
(* -1/10 (pow y 2))
(.f64 y (.f64 y #s(literal -1/10 binary64)))
(+ (* -1/10 (pow y 2)) (* 1/10 (* x (+ y (* -1 y)))))
(.f64 y (.f64 y #s(literal -1/10 binary64)))
(+ (* -1/10 (pow y 2)) (* x (+ (* 1/10 x) (* 1/10 (+ y (* -1 y))))))
(.f64 #s(literal 1/10 binary64) (fma.f64 y (neg.f64 y) (.f64 x x)))
(+ (* -1/10 (pow y 2)) (* x (+ (* 1/10 x) (* 1/10 (+ y (* -1 y))))))
(.f64 #s(literal 1/10 binary64) (fma.f64 y (neg.f64 y) (.f64 x x)))
(* 1/10 (pow x 2))
(.f64 #s(literal 1/10 binary64) (.f64 x x))
(* (pow x 2) (+ 1/10 (* 1/10 (/ (+ y (* -1 y)) x))))
(.f64 #s(literal 1/10 binary64) (.f64 x x))
(* (pow x 2) (+ 1/10 (+ (* -1/10 (/ (pow y 2) (pow x 2))) (* 1/10 (/ (+ y (* -1 y)) x)))))
(.f64 #s(literal 1/10 binary64) (fma.f64 y (neg.f64 y) (.f64 x x)))
(* (pow x 2) (+ 1/10 (+ (* -1/10 (/ (pow y 2) (pow x 2))) (* 1/10 (/ (+ y (* -1 y)) x)))))
(.f64 #s(literal 1/10 binary64) (fma.f64 y (neg.f64 y) (.f64 x x)))
(* 1/10 (pow x 2))
(.f64 #s(literal 1/10 binary64) (.f64 x x))
(* (pow x 2) (+ 1/10 (* 1/10 (/ (+ y (* -1 y)) x))))
(.f64 #s(literal 1/10 binary64) (.f64 x x))
(* (pow x 2) (+ 1/10 (* -1 (/ (+ (* -1/10 (+ y (* -1 y))) (* 1/10 (/ (pow y 2) x))) x))))
(.f64 #s(literal 1/10 binary64) (fma.f64 y (neg.f64 y) (.f64 x x)))
(* (pow x 2) (+ 1/10 (* -1 (/ (+ (* -1/10 (+ y (* -1 y))) (* 1/10 (/ (pow y 2) x))) x))))
(.f64 #s(literal 1/10 binary64) (fma.f64 y (neg.f64 y) (.f64 x x)))
(* 1/10 (pow x 2))
(.f64 #s(literal 1/10 binary64) (.f64 x x))
(+ (* 1/10 (* y (+ x (* -1 x)))) (* 1/10 (pow x 2)))
(.f64 #s(literal 1/10 binary64) (.f64 x x))
(+ (* 1/10 (pow x 2)) (* y (+ (* -1/10 y) (* 1/10 (+ x (* -1 x))))))
(.f64 #s(literal 1/10 binary64) (fma.f64 y (neg.f64 y) (.f64 x x)))
(+ (* 1/10 (pow x 2)) (* y (+ (* -1/10 y) (* 1/10 (+ x (* -1 x))))))
(.f64 #s(literal 1/10 binary64) (fma.f64 y (neg.f64 y) (.f64 x x)))
(* -1/10 (pow y 2))
(.f64 y (.f64 y #s(literal -1/10 binary64)))
(* (pow y 2) (- (* 1/10 (/ (+ x (* -1 x)) y)) 1/10))
(.f64 y (.f64 y #s(literal -1/10 binary64)))
(* (pow y 2) (- (+ (* 1/10 (/ (+ x (* -1 x)) y)) (* 1/10 (/ (pow x 2) (pow y 2)))) 1/10))
(.f64 #s(literal 1/10 binary64) (fma.f64 y (neg.f64 y) (.f64 x x)))
(* (pow y 2) (- (+ (* 1/10 (/ (+ x (* -1 x)) y)) (* 1/10 (/ (pow x 2) (pow y 2)))) 1/10))
(.f64 #s(literal 1/10 binary64) (fma.f64 y (neg.f64 y) (.f64 x x)))
(* -1/10 (pow y 2))
(.f64 y (.f64 y #s(literal -1/10 binary64)))
(* (pow y 2) (- (* -1/10 (/ (+ x (* -1 x)) y)) 1/10))
(.f64 y (.f64 y #s(literal -1/10 binary64)))
(* (pow y 2) (- (* -1 (/ (+ (* -1/10 (/ (pow x 2) y)) (* 1/10 (+ x (* -1 x)))) y)) 1/10))
(.f64 #s(literal 1/10 binary64) (fma.f64 y (neg.f64 y) (.f64 x x)))
(* (pow y 2) (- (* -1 (/ (+ (* -1/10 (/ (pow x 2) y)) (* 1/10 (+ x (* -1 x)))) y)) 1/10))
(.f64 #s(literal 1/10 binary64) (fma.f64 y (neg.f64 y) (.f64 x 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)
(* -1/10 y)
(*.f64 y #s(literal -1/10 binary64))
(+ (* -1/10 y) (* 1/10 x))
(*.f64 #s(literal -1/10 binary64) (-.f64 y x))
(+ (* -1/10 y) (* 1/10 x))
(*.f64 #s(literal -1/10 binary64) (-.f64 y x))
(+ (* -1/10 y) (* 1/10 x))
(*.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 y) (* 1/10 x))
(*.f64 #s(literal -1/10 binary64) (-.f64 y x))
(+ (* -1/10 y) (* 1/10 x))
(*.f64 #s(literal -1/10 binary64) (-.f64 y x))
(+ (* -1/10 y) (* 1/10 x))
(*.f64 #s(literal -1/10 binary64) (-.f64 y x))
(* -1/10 y)
(*.f64 y #s(literal -1/10 binary64))
(* y (- (* 1/10 (/ x y)) 1/10))
(*.f64 #s(literal -1/10 binary64) (-.f64 y x))
(* y (- (* 1/10 (/ x y)) 1/10))
(*.f64 #s(literal -1/10 binary64) (-.f64 y x))
(* y (- (* 1/10 (/ x y)) 1/10))
(*.f64 #s(literal -1/10 binary64) (-.f64 y x))
(* -1/10 y)
(*.f64 y #s(literal -1/10 binary64))
(* -1 (* y (+ 1/10 (* -1/10 (/ x y)))))
(*.f64 #s(literal -1/10 binary64) (-.f64 y x))
(* -1 (* y (+ 1/10 (* -1/10 (/ x y)))))
(*.f64 #s(literal -1/10 binary64) (-.f64 y x))
(* -1 (* y (+ 1/10 (* -1/10 (/ x y)))))
(*.f64 #s(literal -1/10 binary64) (-.f64 y x))

eval83.0ms (1%)

Memory: 5.5MiB live, 116.1MiB allocated
Compiler: Compiled 13 724 to 1 419 computations (89.7% saved)

prune276.0ms (3.4%)

Memory

-17.7MiB live, 140.4MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	607	0	607
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	607	8	615

Accuracy

100.0%

Counts

615 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(fma.f64 x #s(literal 1/10 binary64) (*.f64 y #s(literal 1/10 binary64)))
✓	100.0%	(/.f64 (+.f64 x y) #s(literal 10 binary64))
✓	58.8%	(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 x y) #s(literal 1/10 binary64))) (-.f64 x y))
✓	48.0%	(/.f64 y #s(literal 10 binary64))
✓	54.1%	(/.f64 x #s(literal 10 binary64))
✓	99.5%	(*.f64 (+.f64 x y) #s(literal 1/10 binary64))
✓	47.8%	(*.f64 #s(literal 1/10 binary64) y)
✓	53.9%	(*.f64 #s(literal 1/10 binary64) x)

Compiler

Compiled 100 to 56 computations (44% saved)

regimes13.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes11.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`(/.f64 (+.f64 x y) #s(literal 10 binary64))`
99.5%	1	`(+.f64 x y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes30.0ms (0.4%)

Memory

-32.4MiB live, 14.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	(+.f64 x y)
2.0ms	(/.f64 (+.f64 x y) #s(literal 10 binary64))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`y`
99.5%	1	`(/.f64 (+.f64 x y) #s(literal 10 binary64))`
99.5%	1	`(+.f64 x y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
85.5%	2	`x`
82.8%	2	`y`
98.4%	2	`(/.f64 (+.f64 x y) #s(literal 10 binary64))`
98.4%	2	`(+.f64 x y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	(/.f64 (+.f64 x y) #s(literal 10 binary64))
1.0ms	(+.f64 x y)
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
53.9%	1	`y`
53.9%	1	`x`
53.9%	1	`(/.f64 (+.f64 x y) #s(literal 10 binary64))`
53.9%	1	`(+.f64 x y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.1625179366460427e-300	4.663383124617396e-230

Compiler

Compiled 10 to 10 computations (0% saved)

simplify8.0ms (0.1%)

Memory

-27.1MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	18	31

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) #s(literal 10 binary64))
(fma.f64 x #s(literal 1/10 binary64) (*.f64 y #s(literal 1/10 binary64)))
(*.f64 (+.f64 x y) #s(literal 1/10 binary64))
(if (<=.f64 (+.f64 x y) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (.f64 #s(literal 1/10 binary64) x) (.f64 #s(literal 1/10 binary64) y))
(*.f64 #s(literal 1/10 binary64) x)

Outputs
(/.f64 (+.f64 x y) #s(literal 10 binary64))
(fma.f64 x #s(literal 1/10 binary64) (*.f64 y #s(literal 1/10 binary64)))
(*.f64 (+.f64 x y) #s(literal 1/10 binary64))
(if (<=.f64 (+.f64 x y) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (.f64 #s(literal 1/10 binary64) x) (.f64 #s(literal 1/10 binary64) y))
(if (<=.f64 (+.f64 x y) #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (.f64 x #s(literal 1/10 binary64)) (.f64 y #s(literal 1/10 binary64)))
(*.f64 #s(literal 1/10 binary64) x)
(*.f64 x #s(literal 1/10 binary64))

soundness2.4s (29.1%)

Memory

16.9MiB live, 336.3MiB allocated

Rules

17 664×	`accelerator-lowering-fma.f32`
17 664×	`accelerator-lowering-fma.f64`
5 140×	`/-lowering-/.f32`
5 140×	`/-lowering-/.f64`
3 858×	`accelerator-lowering-fma.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
0	5	8
1	29	8
2	181	8
3	1731	8
0	8189	8

Stop Event

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

Compiler

Compiled 63 to 35 computations (44.4% saved)

preprocess45.0ms (0.6%)

Memory: -13.6MiB live, 60.0MiB allocated
Remove: (sort x y)
Compiler: Compiled 122 to 66 computations (45.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample487.0ms (6%)

preprocess20.0ms (0.2%)

explain66.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.2%)

localize15.0ms (0.2%)

series2.0ms (0%)

rewrite391.0ms (4.8%)

simplify531.0ms (6.5%)

eval97.0ms (1.2%)

prune52.0ms (0.6%)

simplify4.0ms (0%)

localize50.0ms (0.6%)

series3.0ms (0%)

rewrite485.0ms (5.9%)

simplify2.1s (25.5%)

eval63.0ms (0.8%)

prune33.0ms (0.4%)

simplify204.0ms (2.5%)

localize35.0ms (0.4%)

series4.0ms (0.1%)

rewrite241.0ms (3%)

simplify416.0ms (5.1%)

eval83.0ms (1%)

prune276.0ms (3.4%)

regimes13.0ms (0.2%)

regimes11.0ms (0.1%)

regimes30.0ms (0.4%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness2.4s (29.1%)

preprocess45.0ms (0.6%)

end0.0ms (0%)

Profiling