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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample592.0ms (11.7%)

Results

399.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-div: 60.0ms (45.3% of total)

ival-add: 58.0ms (43.8% of total)

const: 11.0ms (8.3% of total)

backward-pass: 3.0ms (2.3% of total)

Bogosity

preprocess39.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

432×	`fmsub-define`
416×	`fnmsub-define`
416×	`fnmadd-define`
356×	`fmm-def`
228×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	36	30
2	69	30
3	156	30
4	500	30
5	1187	30
6	1489	30
7	1662	30
8	1706	30
0	5	5
1	6	5
0	6	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (+ x y) 10)

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

Call 2

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

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

Symmetry

(sort x y)

explain56.0ms (1.1%)

FPErrors

Click to see full error table

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

Results

40.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-div: 4.0ms (49% of total)

ival-add: 3.0ms (36.7% of total)

const: 1.0ms (12.2% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

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)

localize49.0ms (1%)

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))

Results

44.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-div: 2.0ms (49.8% of total)

ival-add: 2.0ms (49.8% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

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
1.0ms	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)

rewrite366.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3166×	`/-lowering-/.f32`
3166×	`/-lowering-/.f64`
2164×	`-lowering-.f32`
2164×	`-lowering-.f64`
1926×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	29	8
2	198	8
3	1947	8
0	8321	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 315

Calls

Call 1

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

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

simplify127.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1864×	`fnmadd-define`
1816×	`fma-lowering-fma.f32`
1816×	`fma-lowering-fma.f64`
1812×	`sum5-define`
1630×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	168
1	124	168
2	302	168
3	871	168
4	2404	168
5	4335	168
0	8030	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)

eval56.0ms (1.1%)

Compiler: Compiled 9403 to 932 computations (90.1% saved)

prune56.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	359	4	363
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	359	5	364

Accuracy

100.0%

Counts

364 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) #s(literal 10 binary64))
▶	53.0%	(/.f64 y #s(literal 10 binary64))
▶	49.1%	(/.f64 x #s(literal 10 binary64))
▶	99.4%	(*.f64 (+.f64 x y) #s(literal 1/10 binary64))
▶	48.9%	(*.f64 #s(literal 1/10 binary64) x)

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	12	26
2	18	26
3	24	26
0	24	26

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize83.0ms (1.6%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y #s(literal 10 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal 10 binary64))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	99.4%	(*.f64 (+.f64 x y) #s(literal 1/10 binary64))
✓	accuracy	99.5%	(*.f64 #s(literal 1/10 binary64) x)

Results

72.0ms

256×

valid

Compiler

Compiled 29 to 10 computations (65.5% saved)

Precisions

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

ival-div: 4.0ms (29.7% of total)

ival-mult: 4.0ms (29.7% of total)

...c/correct-round.rkt:119:19: 4.0ms (29.7% of total)

ival-add: 2.0ms (14.8% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

5 → 84

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* 1/10 x)
0.0ms	x	@	-inf	(* 1/10 x)
0.0ms	x	@	0	(* 1/10 x)
0.0ms	y	@	-inf	(/ y 10)
0.0ms	y	@	inf	(/ y 10)

rewrite295.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2792×	`-lowering-.f32`
2792×	`-lowering-.f64`
2316×	`fma-lowering-fma.f32`
2316×	`fma-lowering-fma.f64`
2056×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	38	17
2	217	17
3	2144	17
0	8551	17

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 378

Calls

Call 1

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

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

simplify161.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1864×	`fnmadd-define`
1816×	`fma-lowering-fma.f32`
1816×	`fma-lowering-fma.f64`
1812×	`sum5-define`
1630×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	276
1	124	276
2	302	276
3	871	276
4	2404	276
5	4334	276
0	8030	276

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval69.0ms (1.4%)

Compiler: Compiled 7009 to 999 computations (85.7% saved)

prune316.0ms (6.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	462	0	462
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	462	5	467

Accuracy

100.0%

Counts

467 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) #s(literal 10 binary64))
✓	53.0%	(/.f64 y #s(literal 10 binary64))
✓	49.1%	(/.f64 x #s(literal 10 binary64))
✓	99.4%	(*.f64 (+.f64 x y) #s(literal 1/10 binary64))
✓	48.9%	(*.f64 #s(literal 1/10 binary64) x)

Compiler

Compiled 50 to 32 computations (36% saved)

regimes12.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(+.f64 x y)
2.0ms	x
2.0ms	(/.f64 (+.f64 x y) #s(literal 10 binary64))
2.0ms	y

Results

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes8.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	y
2.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`y`
99.4%	1	`(+.f64 x y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
85.6%	2	`x`
85.2%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
49.1%	1	`y`
49.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

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

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
48.9%	1	`y`
48.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch154.0ms (3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
153.0ms	-8.09005446415144e-95	-1.4671482088741793e-95

Results

150.0ms

96×

valid

Compiler

Compiled 84 to 69 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-add: 146.0ms (99.4% of total)

ival-div: 1.0ms (0.7% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	16	26

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) #s(literal 10 binary64))
(*.f64 (+.f64 x y) #s(literal 1/10 binary64))
(if (<=.f64 x #s(literal -6012269011901013/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal 10 binary64)))
(/.f64 x #s(literal 10 binary64))
(*.f64 #s(literal 1/10 binary64) x)

Outputs
(/.f64 (+.f64 x y) #s(literal 10 binary64))
(*.f64 (+.f64 x y) #s(literal 1/10 binary64))
(if (<=.f64 x #s(literal -6012269011901013/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (/.f64 x #s(literal 10 binary64)) (/.f64 y #s(literal 10 binary64)))
(/.f64 x #s(literal 10 binary64))
(*.f64 #s(literal 1/10 binary64) x)
(*.f64 x #s(literal 1/10 binary64))

soundness2.6s (50.5%)

Rules

3166×	`/-lowering-/.f32`
3166×	`/-lowering-/.f64`
2164×	`-lowering-.f32`
2164×	`-lowering-.f64`
1926×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	29	8
2	198	8
3	1947	8
0	8321	8
0	38	168
1	124	168
2	302	168
3	871	168
4	2404	168
5	4335	168
0	8030	168

Stop Event

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

Compiler

Compiled 55 to 34 computations (38.2% saved)

preprocess33.0ms (0.6%)

Remove: (sort x y)
Compiler: Compiled 112 to 66 computations (41.1% saved)

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

analyze0.0ms (0%)

sample592.0ms (11.7%)

preprocess39.0ms (0.8%)

explain56.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize49.0ms (1%)

series3.0ms (0.1%)

rewrite366.0ms (7.2%)

simplify127.0ms (2.5%)

eval56.0ms (1.1%)

prune56.0ms (1.1%)

simplify4.0ms (0.1%)

localize83.0ms (1.6%)

series4.0ms (0.1%)

rewrite295.0ms (5.8%)

simplify161.0ms (3.2%)

eval69.0ms (1.4%)

prune316.0ms (6.2%)

regimes12.0ms (0.2%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch154.0ms (3%)

simplify7.0ms (0.1%)

soundness2.6s (50.5%)

preprocess33.0ms (0.6%)

end0.0ms (0%)

Profiling