Metrics for Data.Colour.RGB:hslsv from colour-2.3.3, 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)

sample602.0ms (22.4%)

Results

434.0ms

8256×

valid

Precisions

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

ival-div: 81.0ms (55.1% of total)

ival-add: 51.0ms (34.7% of total)

const: 11.0ms (7.5% of total)

backward-pass: 3.0ms (2% of total)

Bogosity

preprocess35.0ms (1.3%)

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) 2)

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

Call 2

Inputs
(/ (+ x y) 2)
(/ (+ (neg x) y) 2)
(/ (+ x (neg y)) 2)
(neg (/ (+ (neg x) y) 2))
(neg (/ (+ x (neg y)) 2))
(/ (+ y x) 2)

Outputs
(/ (+ x y) 2)
(* (+ x y) 1/2)
(/ (+ (neg x) y) 2)
(* (- y x) 1/2)
(/ (+ x (neg y)) 2)
(* (- y x) -1/2)
(neg (/ (+ (neg x) y) 2))
(* (- y x) -1/2)
(neg (/ (+ x (neg y)) 2))
(* (- y x) 1/2)
(/ (+ y x) 2)
(* (+ x y) 1/2)

Symmetry

(sort x y)

explain48.0ms (1.8%)

FPErrors

Click to see full error table

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

Results

28.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 5.0ms (53.6% of total)

ival-div: 4.0ms (42.9% of total)

const: 1.0ms (10.7% 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 2 binary64))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (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 2 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) 2)
(+ x y)
x
y
2

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

localize32.0ms (1.2%)

Localize:

Found 2 expressions of interest:

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

Results

26.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-div: 15.0ms (85.6% of total)

ival-add: 2.0ms (11.4% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

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

Outputs
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* 1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* 1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (+ (* 1/2 x) (* 1/2 y))>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 1/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 1/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 1/2 (/ x y))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1/2)))>
#<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) 2)
0.0ms	x	@	-inf	(/ (+ x y) 2)
0.0ms	y	@	inf	(/ (+ x y) 2)
0.0ms	x	@	0	(/ (+ x y) 2)
0.0ms	x	@	inf	(+ x y)

rewrite383.0ms (14.3%)

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	195	8
3	1938	8
0	8261	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 315

Calls

Call 1

Inputs
(/ (+ x y) 2)
(+ x y)

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

simplify222.0ms (8.3%)

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	8026	168

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

eval61.0ms (2.3%)

Compiler: Compiled 9403 to 930 computations (90.1% saved)

prune44.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	361	2	363
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	361	3	364

Accuracy

100.0%

Counts

364 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) #s(literal 2 binary64))
▶	48.7%	(/.f64 y #s(literal 2 binary64))
▶	53.1%	(/.f64 x #s(literal 2 binary64))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`/-lowering-/.f32`
4×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
0	5	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x 2)
x
2
(/ y 2)
y
2

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

localize21.0ms (0.8%)

Localize:

Found 2 expressions of interest:

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

Results

13.0ms

256×

valid

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

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

ival-div: 3.0ms (78.6% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/ x 2)>
#<alt (/ y 2)>

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

Calls

6 calls:

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

rewrite283.0ms (10.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4170×	`-lowering-.f32`
4170×	`-lowering-.f64`
2984×	`/-lowering-/.f32`
2984×	`/-lowering-/.f64`
1040×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	20	6
2	65	6
3	258	6
4	1205	6
0	9017	6

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 498

Calls

Call 1

Inputs
(/ x 2)
(/ y 2)

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

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	72
1	7	72
0	7	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

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

eval78.0ms (2.9%)

Compiler: Compiled 5924 to 915 computations (84.6% saved)

prune67.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	522	0	522
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	522	3	525

Accuracy

100.0%

Counts

525 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x y) #s(literal 2 binary64))
✓	48.7%	(/.f64 y #s(literal 2 binary64))
✓	53.1%	(/.f64 x #s(literal 2 binary64))

Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes8.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 x #s(literal 2 binary64))
(/.f64 y #s(literal 2 binary64))
(/.f64 (+.f64 x y) #s(literal 2 binary64))

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

Calls

4 calls:

2.0ms	(/.f64 (+.f64 x y) #s(literal 2 binary64))
2.0ms	(+.f64 x y)
2.0ms	x
2.0ms	y

Results

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes20.0ms (0.7%)

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 x #s(literal 2 binary64))
(/.f64 y #s(literal 2 binary64))

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

Calls

2 calls:

18.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
85.6%	2	`x`
85.9%	2	`y`

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 x #s(literal 2 binary64))

Outputs
(/.f64 x #s(literal 2 binary64))

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
53.1%	1	`x`
53.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch9.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.120571403350874e-60	1.950705899407373e-58

Results

5.0ms

112×

valid

Compiler

Compiled 96 to 79 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (59.5% of total)

ival-add: 1.0ms (59.5% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	11	18

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.f64 (+.f64 x y) #s(literal 2 binary64))

(if (<=.f64 y #s(literal 8198170380571703/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))

(/.f64 x #s(literal 2 binary64))

Outputs

(/.f64 (+.f64 x y) #s(literal 2 binary64))

(if (<=.f64 y #s(literal 8198170380571703/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))

(/.f64 x #s(literal 2 binary64))

soundness713.0ms (26.6%)

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	8026	168

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 35 to 22 computations (37.1% saved)

preprocess27.0ms (1%)

Remove: (sort x y)
Compiler: Compiled 82 to 50 computations (39% saved)

Data.Colour.RGB:hslsv from colour-2.3.3, A

analyze0.0ms (0%)

sample602.0ms (22.4%)

preprocess35.0ms (1.3%)

explain48.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize32.0ms (1.2%)

series2.0ms (0.1%)

rewrite383.0ms (14.3%)

simplify222.0ms (8.3%)

eval61.0ms (2.3%)

prune44.0ms (1.6%)

simplify4.0ms (0.2%)

localize21.0ms (0.8%)

series2.0ms (0.1%)

rewrite283.0ms (10.5%)

simplify10.0ms (0.4%)

eval78.0ms (2.9%)

prune67.0ms (2.5%)

regimes8.0ms (0.3%)

regimes20.0ms (0.7%)

regimes3.0ms (0.1%)

bsearch9.0ms (0.3%)

simplify8.0ms (0.3%)

soundness713.0ms (26.6%)

preprocess27.0ms (1%)

end0.0ms (0%)

Profiling