Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

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 13 to 9 computations (30.8% 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)

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

const: 0.0ms (0% of total)

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

sample778.0ms (7.1%)

Results

528.0ms	8248×	0	valid
1.0ms	5×	1	valid
1.0ms	3×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 286.0ms

ival-mult: 108.0ms (37.7% of total)

ival-add: 88.0ms (30.7% of total)

ival-div: 78.0ms (27.2% of total)

const: 10.0ms (3.5% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess74.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

412×	`distribute-rgt-in`
356×	`sub-neg`
278×	`unsub-neg`
242×	`cancel-sign-sub`
240×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	97
1	92	91
2	238	90
3	668	76
4	1199	72
5	1787	70
6	2256	70
7	2444	70
8	2492	70
9	2500	70
10	2500	70
11	2500	70
0	8	9
1	13	9
2	20	9
3	22	9
0	22	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain85.0ms (0.8%)

FPErrors

Click to see full error table

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

Results

49.0ms

512×

valid

Compiler

Compiled 72 to 38 computations (47.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 10.0ms (44.8% of total)

ival-add: 8.0ms (35.8% of total)

ival-mult: 4.0ms (17.9% of total)

const: 1.0ms (4.5% of total)

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

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize57.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
✓	cost-diff	0	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
✓	accuracy	100.0%	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Rules

24×	`+-lowering-+.f64`
24×	`+-lowering-+.f32`
12×	`accelerator-lowering-fma.f32`
12×	`accelerator-lowering-fma.f64`
10×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	13	26
2	20	26
3	22	26
0	22	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

32.0ms

256×

valid

Compiler

Compiled 30 to 15 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 10.0ms (57.9% of total)

ival-div: 5.0ms (29% of total)

ival-mult: 2.0ms (11.6% of total)

const: 1.0ms (5.8% of total)

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

series22.0ms (0.2%)

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
13.0ms	y	@	-inf	(* y x)
1.0ms	x	@	inf	(+ (/ x 2) (* y x))
1.0ms	x	@	-inf	(/ x 2)
1.0ms	x	@	0	(+ (/ x 2) (* y x))
1.0ms	x	@	-inf	(+ (/ x 2) (* y x))

rewrite856.0ms (7.9%)

Algorithm

1×	batch-egg-rewrite

Rules

7074×	`accelerator-lowering-fma.f32`
7074×	`accelerator-lowering-fma.f64`
4356×	`-lowering-.f32`
4356×	`-lowering-.f64`
2578×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	48	18
2	448	18
3	6054	18
0	8017	17

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 242

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y))
(+.f64 (*.f64 x y) (/.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 x (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) x))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x y) (/.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 x (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) x))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 y #s(literal 1/2 binary64)))) (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(fma.f64 x y (/.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (/.f64 x #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 y x (/.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (*.f64 x y))
(fma.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (/.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 x y))
(fma.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) x) (/.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (/.f64 (.f64 x x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (*.f64 #s(literal 1 binary64) y) x (/.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 x (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x (.f64 x y)) (+.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal 1/4 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(/.f64 (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64))) (.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 y (.f64 y y)))))) (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 1/64 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)))))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))) (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))))
(/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 y y)))))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 y y) #s(literal 1/4 binary64))) (.f64 x (-.f64 y #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 y y))) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 y y)))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 y y)))))
(/.f64 (-.f64 (.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (.f64 x (.f64 y y))))) (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) (.f64 x (-.f64 #s(literal 1/2 binary64) y))))
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(/.f64 (-.f64 (.f64 (+.f64 (.f64 x y) z) (+.f64 (.f64 x y) z)) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (-.f64 (+.f64 (.f64 x y) z) (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) z) (+.f64 (/.f64 x #s(literal 2 binary64)) z)) (.f64 x (.f64 x (.f64 y y)))) (-.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) z) (*.f64 x y)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (/.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))) (.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 z (.f64 z z))) #s(literal 1 binary64)) (+.f64 (.f64 z z) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (.f64 z z)) #s(literal 1 binary64)) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))) (+.f64 (.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))))) (.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))) (-.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 z (.f64 z z))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 z z) (+.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (*.f64 z z)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 z z) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))) (+.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (+.f64 (.f64 x y) z) (-.f64 (+.f64 (.f64 x y) z) (/.f64 x #s(literal 2 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (+.f64 (.f64 x y) z) (.f64 (+.f64 (.f64 x y) z) (+.f64 (.f64 x y) z))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) z) (.f64 (+.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z) (-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 (.f64 z z) (.f64 (.f64 x x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z) (.f64 (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))
(.f64 (+.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z) (/.f64 (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))
(.f64 (+.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))))
(.f64 (+.f64 (.f64 z z) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))) (.f64 (+.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))))
(.f64 (+.f64 (.f64 z z) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))) (/.f64 (+.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z) (+.f64 (.f64 z z) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
(.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))
(.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (+.f64 (.f64 x y) z) (.f64 (+.f64 (.f64 x y) z) (+.f64 (.f64 x y) z)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (+.f64 (.f64 x y) z) (-.f64 (+.f64 (*.f64 x y) z) (/.f64 x #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)))) (+.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 z (.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z)) (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (.f64 z z)))
(.f64 (.f64 (+.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z) (-.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) z)))
(.f64 (-.f64 (.f64 z z) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (.f64 z z)) (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (.f64 z z))) (+.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 z (.f64 z z))) (+.f64 (.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))))) (.f64 (.f64 z (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 z z) (.f64 (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))))))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 z (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (-.f64 (.f64 z (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64))))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 z (.f64 z z))) (.f64 (+.f64 (.f64 z z) (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (-.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) z))) (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (.f64 z (-.f64 z (.f64 x (+.f64 y #s(literal 1/2 binary64)))))))) (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (.f64 z z)) (-.f64 (.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64))))) (.f64 z (.f64 z z)))) (+.f64 (.f64 (.f64 x x) (.f64 (+.f64 y #s(literal 1/2 binary64)) (+.f64 y #s(literal 1/2 binary64)))) (.f64 z (+.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))))
(*.f64 x y)
(*.f64 y x)
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x y))
(.f64 (.f64 #s(literal 1 binary64) y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64)))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 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 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))

simplify346.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

6434×	`accelerator-lowering-fma.f32`
6434×	`accelerator-lowering-fma.f64`
2474×	`-lowering-.f32`
2474×	`-lowering-.f64`
1356×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	440
1	174	440
2	488	440
3	1310	440
4	3612	440
5	6659	440
0	8189	412

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval222.0ms (2%)

Compiler: Compiled 8223 to 3861 computations (53% saved)

prune71.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	331	7	338
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	331	8	339

Accuracy

100.0%

Counts

339 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
	44.8%	(+.f64 (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))) (/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))))) z)
▶	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) x) z)
	71.9%	(+.f64 (*.f64 x y) z)
▶	66.3%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
▶	62.2%	(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
▶	34.9%	(*.f64 x y)
▶	38.9%	z

Compiler

Compiled 184 to 122 computations (33.7% saved)

localize123.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	cost-diff	0	(-.f64 y #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(+.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 (+.f64 y #s(literal 1/2 binary64)) x)
✓	cost-diff	0	(+.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) x) z)
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(-.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) x) z)
✓	accuracy	100.0%	(*.f64 (+.f64 y #s(literal 1/2 binary64)) x)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	20	39
2	22	39
3	28	39
4	30	39
0	30	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

80.0ms

256×

valid

Compiler

Compiled 51 to 27 computations (47.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 11.0ms (37.2% of total)

ival-sub: 10.0ms (33.8% of total)

ival-add: 7.0ms (23.7% of total)

const: 1.0ms (3.4% of total)

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

series12.0ms (0.1%)

Counts

8 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite647.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

8544×	`accelerator-lowering-fma.f32`
8544×	`accelerator-lowering-fma.f64`
5194×	`-lowering-.f32`
5194×	`-lowering-.f64`
2178×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	67	34
2	475	34
3	5438	34
0	8229	32

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 434

Calls

Call 1

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

Outputs
(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y x))
(fma.f64 y x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y x))
(fma.f64 x y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y x))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 y #s(literal -1/2 binary64)))) (.f64 x (+.f64 (.f64 y (.f64 y y)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 x (+.f64 (.f64 y y) #s(literal -1/4 binary64)))))
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(.f64 (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 z z)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 z (.f64 z z)))) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 z (+.f64 z (*.f64 #s(literal 1/2 binary64) x)))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) z) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 z z) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 z z))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) z) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 z z) (.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 z z))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 z (+.f64 z (.f64 x #s(literal -1/2 binary64))))) (+.f64 (.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 z (.f64 z z)) (-.f64 (.f64 z (.f64 z z)) (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 z (+.f64 z (.f64 x #s(literal -1/2 binary64))))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 z (*.f64 z z)))))

simplify396.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

7098×	`accelerator-lowering-fma.f32`
7098×	`accelerator-lowering-fma.f64`
2414×	`-lowering-.f32`
2414×	`-lowering-.f64`
1484×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	716
1	221	716
2	620	716
3	1836	716
4	3723	716
5	5759	716
6	7827	716
0	8128	670

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval153.0ms (1.4%)

Compiler: Compiled 14019 to 7313 computations (47.8% saved)

prune130.0ms (1.2%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	599	3	602
Fresh	1	1	2
Picked	0	5	5
Done	1	0	1
Total	601	9	610

Accuracy

100.0%

Counts

610 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.8%	(+.f64 (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))) (/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))))) z)
✓	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) x) z)
▶	62.2%	(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
▶	71.9%	(+.f64 (*.f64 y x) z)
✓	66.3%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	62.2%	(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
✓	34.9%	(*.f64 x y)
▶	29.3%	(*.f64 x #s(literal 1/2 binary64))
✓	38.9%	z

Compiler

Compiled 102 to 69 computations (32.4% saved)

localize1.2s (11.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
✓	cost-diff	384	(/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))))
✓	cost-diff	2048	(.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))) (/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64)))))))
✓	cost-diff	2048	(+.f64 (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))) (/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))))) z)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	128	(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(+.f64 (*.f64 y x) z)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x y) (*.f64 x (-.f64 y #s(literal 1/2 binary64))))
✓	accuracy	96.6%	(+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
✓	accuracy	49.8%	(.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))) (/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64)))))))
✓	accuracy	47.1%	(/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 (*.f64 y x) z)
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))

Rules

12310×	`accelerator-lowering-fma.f32`
12310×	`accelerator-lowering-fma.f64`
5300×	`-lowering-.f32`
5300×	`-lowering-.f64`
2232×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	140
1	47	140
2	105	132
3	364	106
4	1547	100
5	6107	100
6	7163	100
7	7949	100
0	8086	96

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x 1/2)
x
1/2
(+ (* y x) z)
(* y x)
y
z
(+ (* y x) (* 1/2 x))
(* 1/2 x)
(+ (* (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))) (/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))))) z)
(* (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))) (/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2))))))
(+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2))))
(/ x (/ 4 x))
(/ 4 x)
4
(* (* x y) (* x (- y 1/2)))
(* x y)
(* x (- y 1/2))
(- y 1/2)
(/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))))
(* x (+ y 1/2))
(+ y 1/2)

Outputs
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
(+ (* y x) z)
(+.f64 (*.f64 x y) z)
(* y x)
(*.f64 x y)
y
z
(+ (* y x) (* 1/2 x))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))) (/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))))) z)
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(* (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))) (/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2))))
(.f64 x (+.f64 (.f64 y (*.f64 x (+.f64 y #s(literal -1/2 binary64)))) (/.f64 x #s(literal 4 binary64))))
(/ x (/ 4 x))
(/.f64 x (/.f64 #s(literal 4 binary64) x))
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
4
#s(literal 4 binary64)
(* (* x y) (* x (- y 1/2)))
(.f64 (.f64 x y) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(* x y)
(*.f64 x y)
(* x (- y 1/2))
(*.f64 x (+.f64 y #s(literal -1/2 binary64)))
(- y 1/2)
(+.f64 y #s(literal -1/2 binary64))
(/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) y) (+.f64 (.f64 y (.f64 x (+.f64 y #s(literal -1/2 binary64)))) (/.f64 x #s(literal 4 binary64))))
(* x (+ y 1/2))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ y 1/2)
(+.f64 #s(literal 1/2 binary64) y)

Results

475.0ms

256×

valid

Compiler

Compiled 189 to 100 computations (47.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 405.0ms

ival-mult: 317.0ms (78.3% of total)

ival-add: 42.0ms (10.4% of total)

ival-div: 32.0ms (7.9% of total)

ival-sub: 11.0ms (2.7% of total)

const: 3.0ms (0.7% of total)

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

series22.0ms (0.2%)

Counts

10 → 240

Calls

Call 1

Inputs
#<alt (* x 1/2)>
#<alt (+ (* y x) z)>
#<alt (* y x)>
#<alt (+ (* y x) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))))>
#<alt (* (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))) (/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2))))))>
#<alt (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2))))>
#<alt (* (* x y) (* x (- y 1/2)))>
#<alt (+ (* (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))) (/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))))) z)>

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 z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 1/2 (/ x y))))>
#<alt (* y (+ x (* 1/2 (/ x y))))>
#<alt (* y (+ x (* 1/2 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* -1 (* x (- (* -1 y) 1/2)))>
#<alt (* -1 (* x (- (* -1 y) 1/2)))>
#<alt (* -1 (* x (- (* -1 y) 1/2)))>
#<alt (* -1 (* x (- (* -1 y) 1/2)))>
#<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) (* x (+ 1/4 (* y (- y 1/2)))))>
#<alt (/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))>
#<alt (/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))>
#<alt (/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))>
#<alt (/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))>
#<alt (/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))>
#<alt (/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))>
#<alt (/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))>
#<alt (/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))>
#<alt (/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))>
#<alt (/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))>
#<alt (/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))>
#<alt (/ 2 x)>
#<alt (+ (* 8 (/ y x)) (* 2 (/ 1 x)))>
#<alt (+ (* y (+ (* 8 (/ y x)) (* 8 (/ 1 x)))) (* 2 (/ 1 x)))>
#<alt (+ (* y (+ (* y (+ (* -16 (/ y x)) (* 8 (/ 1 x)))) (* 8 (/ 1 x)))) (* 2 (/ 1 x)))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 x) (/ 1 (* x y))) y)>
#<alt (/ (+ (/ 1/4 (* x (pow y 2))) (+ (/ 1 x) (/ 1 (* x y)))) y)>
#<alt (/ (- (+ (/ 1 x) (+ (/ 1 (* x y)) (* 1/4 (/ 1 (* x (pow y 2)))))) (* 1/8 (/ 1 (* x (pow y 3))))) y)>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 x) (/ 1 (* x y))) y)>
#<alt (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (* 1/4 (/ 1 (* x y)))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* x y))) (* 1/4 (/ 1 x))) y)) (/ 1 x)) y)) (/ 1 x)) y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 1/2 (/ x y))))>
#<alt (* y (+ x (* 1/2 (/ x y))))>
#<alt (* y (+ x (* 1/2 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))>
#<alt (* (pow x 2) (+ 1/4 (* y (- y 1/2))))>
#<alt (* (pow x 2) (+ 1/4 (* y (- y 1/2))))>
#<alt (* (pow x 2) (+ 1/4 (* y (- y 1/2))))>
#<alt (* (pow x 2) (+ 1/4 (* y (- y 1/2))))>
#<alt (* (pow x 2) (+ 1/4 (* y (- y 1/2))))>
#<alt (* (pow x 2) (+ 1/4 (* y (- y 1/2))))>
#<alt (* (pow x 2) (+ 1/4 (* y (- y 1/2))))>
#<alt (* (pow x 2) (+ 1/4 (* y (- y 1/2))))>
#<alt (* (pow x 2) (+ 1/4 (* y (- y 1/2))))>
#<alt (* (pow x 2) (+ 1/4 (* y (- y 1/2))))>
#<alt (* (pow x 2) (+ 1/4 (* y (- y 1/2))))>
#<alt (* (pow x 2) (+ 1/4 (* y (- y 1/2))))>
#<alt (* 1/4 (pow x 2))>
#<alt (+ (* -1/2 (* (pow x 2) y)) (* 1/4 (pow x 2)))>
#<alt (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 (pow x 2)) (* (pow x 2) y))))>
#<alt (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 (pow x 2)) (* (pow x 2) y))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (+ (* 1/4 (/ (pow x 2) (pow y 2))) (pow x 2))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (+ (* 1/4 (/ (pow x 2) (pow y 2))) (pow x 2))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 (pow x 2))) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 (pow x 2))) y)) (pow x 2)))>
#<alt (* (pow x 2) (* y (- y 1/2)))>
#<alt (* (pow x 2) (* y (- y 1/2)))>
#<alt (* (pow x 2) (* y (- y 1/2)))>
#<alt (* (pow x 2) (* y (- y 1/2)))>
#<alt (* (pow x 2) (* y (- y 1/2)))>
#<alt (* (pow x 2) (* y (- y 1/2)))>
#<alt (* (pow x 2) (* y (- y 1/2)))>
#<alt (* (pow x 2) (* y (- y 1/2)))>
#<alt (* (pow x 2) (* y (- y 1/2)))>
#<alt (* (pow x 2) (* y (- y 1/2)))>
#<alt (* (pow x 2) (* y (- y 1/2)))>
#<alt (* (pow x 2) (* y (- y 1/2)))>
#<alt (* -1/2 (* (pow x 2) y))>
#<alt (* y (+ (* -1/2 (pow x 2)) (* (pow x 2) y)))>
#<alt (* y (+ (* -1/2 (pow x 2)) (* (pow x 2) y)))>
#<alt (* y (+ (* -1/2 (pow x 2)) (* (pow x 2) y)))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (pow x 2)))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (pow x 2)))>
#<alt z>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 (+ y (/ z x))))>
#<alt (* x (+ 1/2 (+ y (/ z x))))>
#<alt (* x (+ 1/2 (+ y (/ z x))))>
#<alt (* x (+ 1/2 y))>
#<alt (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))>
#<alt (+ z (* 1/2 x))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))>
#<alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))>
#<alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))>
#<alt (* x (+ 1/2 y))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt z>
#<alt (* z (+ 1 (/ (* x (+ 1/2 y)) z)))>
#<alt (* z (+ 1 (/ (* x (+ 1/2 y)) z)))>
#<alt (* z (+ 1 (/ (* x (+ 1/2 y)) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))>

Calls

60 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))))
1.0ms	x	@	inf	(/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))))
0.0ms	y	@	inf	(/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))))
0.0ms	y	@	0	(/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))))
0.0ms	y	@	-inf	(/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))))

rewrite991.0ms (9.1%)

Algorithm

1×	batch-egg-rewrite

Rules

9058×	`accelerator-lowering-fma.f32`
9058×	`accelerator-lowering-fma.f64`
4804×	`/-lowering-/.f32`
4804×	`/-lowering-/.f64`
4568×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	108
1	132	100
2	1212	72
0	8538	68

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 845

Calls

Call 1

Inputs
(* x 1/2)
(+ (* y x) z)
(* y x)
(+ (* y x) (* 1/2 x))
(* 1/2 x)
(/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))))
(* (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))) (/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2))))))
(+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2))))
(* (* x y) (* x (- y 1/2)))
(+ (* (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))) (/ (* x (+ y 1/2)) (+ (/ x (/ 4 x)) (* (* x y) (* x (- y 1/2)))))) z)

Outputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 x y) z)
(+.f64 z (*.f64 x y))
(+.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x y) z))))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x y) z)))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 z (.f64 x y))))
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 (.f64 x (.f64 y (.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x y) z))))
(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 z (.f64 z z))) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))))
(/.f64 (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 z (.f64 z z))) (+.f64 (.f64 z z) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 z z) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y z)))) (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 z (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 x y)) (-.f64 (.f64 z z) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) (-.f64 (*.f64 x y) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 z (.f64 z z)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z (-.f64 z (.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 z (.f64 z z)))) (neg.f64 (+.f64 (.f64 z z) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (*.f64 y z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x y) z)))
(/.f64 (-.f64 (.f64 z z) (.f64 x (.f64 y (.f64 x y)))) (-.f64 z (*.f64 x y)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) z)) (.f64 (-.f64 (.f64 x y) z) (.f64 z z))) (.f64 (-.f64 (.f64 x y) z) (-.f64 (*.f64 x y) z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 z (.f64 z z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z (-.f64 z (.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x y) z))))
(/.f64 (neg.f64 (-.f64 (.f64 z z) (.f64 x (.f64 y (.f64 x y))))) (neg.f64 (-.f64 z (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x y) z)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) z)) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) z))) (+.f64 (.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x y) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x y) z))) (.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) z)) (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) z)) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) z))) (.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x y) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x y) z)))) (+.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x y) z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z (-.f64 z (*.f64 x y))))))
(.f64 (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y z))))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) z))
(.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z (-.f64 z (*.f64 x y)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x y) z))))
(.f64 (-.f64 (.f64 z z) (.f64 x (.f64 y (.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 x y))))
(*.f64 x y)
(*.f64 y x)
(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y))
(+.f64 (.f64 (/.f64 (.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x)) (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) x))))
(+.f64 (/.f64 (/.f64 x (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) y))) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (/.f64 x (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) y))) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 y (*.f64 x x)))))
(+.f64 (.f64 (/.f64 x (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) y))) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 x x)))) (/.f64 (/.f64 x (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) y))) (/.f64 #s(literal 4 binary64) (*.f64 x x))))
(+.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))) (/.f64 (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 x x))) (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))))
(+.f64 (/.f64 (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 x x))) (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))) (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) y))))
(-.f64 (.f64 (/.f64 (.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) x)))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64)))))) (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))) (/.f64 (/.f64 (.f64 (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 x x))) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 x x)))) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64)))))) (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))))
(-.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (-.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 x y))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 x (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 x x))) (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 x x))) (/.f64 x (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) y))) (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 x (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) y))) (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (/.f64 x (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) y))) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 x x)))))
(fma.f64 (/.f64 x (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) y))) (.f64 (+.f64 y #s(literal -1/2 binary64)) (.f64 y (.f64 x x))) (/.f64 (/.f64 x (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) y))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(fma.f64 (.f64 x (.f64 y (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 y #s(literal -1/2 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x))))
(fma.f64 (/.f64 (.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x) (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x))))
(fma.f64 (/.f64 x x) (/.f64 (.f64 y (.f64 x y)) (+.f64 y #s(literal -1/2 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x))))
(fma.f64 (/.f64 x (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 y (.f64 x y)) x) (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x))))
(fma.f64 (/.f64 y x) (/.f64 (.f64 y (.f64 x x)) (+.f64 y #s(literal -1/2 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x))))
(fma.f64 (/.f64 (.f64 y (.f64 x x)) (+.f64 y #s(literal -1/2 binary64))) (/.f64 y x) (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x))))
(fma.f64 (/.f64 y (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 y (.f64 x x)) x) (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x))))
(fma.f64 (/.f64 (.f64 y (.f64 x x)) x) (/.f64 y (+.f64 y #s(literal -1/2 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x))))
(fma.f64 (/.f64 (.f64 x y) x) (/.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x))))
(fma.f64 (/.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x y) x) (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x))))
(fma.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 x x) (+.f64 y #s(literal -1/2 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 y y) x) (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x))))
(fma.f64 (/.f64 (.f64 (.f64 x y) y) x) (/.f64 x (+.f64 y #s(literal -1/2 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x))))
(fma.f64 (/.f64 (.f64 (.f64 x y) y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 x x) (neg.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (.f64 x x) x))))
(neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) y))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))
(/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(/.f64 (/.f64 x (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) y))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64)))))) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 x y) (+.f64 y #s(literal -1/2 binary64))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))))
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(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))) (.f64 z (.f64 z z)))) (neg.f64 (+.f64 (.f64 z z) (-.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (.f64 z z))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(/.f64 (-.f64 (.f64 z z) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))) (-.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) (.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z) (.f64 z z))) (.f64 (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))) (.f64 z (.f64 z z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (.f64 z (-.f64 z (.f64 x (+.f64 #s(literal 1/2 binary64) y))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (.f64 z z)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))))
(/.f64 (neg.f64 (-.f64 (.f64 z z) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))))) (neg.f64 (-.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))) (+.f64 (.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))) (.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) (/.f64 (.f64 z z) (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))) (.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))) (+.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (.f64 z (-.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))))))
(.f64 (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (-.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (.f64 z (.f64 x (+.f64 #s(literal 1/2 binary64) y)))))))
(.f64 #s(literal 1 binary64) (+.f64 z (.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(.f64 (-.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (.f64 z (-.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y))) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))))
(.f64 (-.f64 (.f64 z z) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 x (+.f64 #s(literal 1/2 binary64) y)))))

simplify535.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

10430×	`accelerator-lowering-fma.f32`
10430×	`accelerator-lowering-fma.f64`
4382×	`-lowering-.f32`
4382×	`-lowering-.f64`
1958×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	163	1668
1	522	1668
2	1425	1652
3	3558	1510
0	8529	1414

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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)
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 1/2 x)
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(* x y)
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* 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) (* x (+ 1/4 (* y (- y 1/2)))))
(/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))
(/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))
(/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))
(/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))
(/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))
(/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))
(/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))
(/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))
(/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))
(/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))
(/ (+ 1/2 y) (* x (+ 1/4 (* y (- y 1/2)))))
(/ 2 x)
(+ (* 8 (/ y x)) (* 2 (/ 1 x)))
(+ (* y (+ (* 8 (/ y x)) (* 8 (/ 1 x)))) (* 2 (/ 1 x)))
(+ (* y (+ (* y (+ (* -16 (/ y x)) (* 8 (/ 1 x)))) (* 8 (/ 1 x)))) (* 2 (/ 1 x)))
(/ 1 (* x y))
(/ (+ (/ 1 x) (/ 1 (* x y))) y)
(/ (+ (/ 1/4 (* x (pow y 2))) (+ (/ 1 x) (/ 1 (* x y)))) y)
(/ (- (+ (/ 1 x) (+ (/ 1 (* x y)) (* 1/4 (/ 1 (* x (pow y 2)))))) (* 1/8 (/ 1 (* x (pow y 3))))) y)
(/ 1 (* x y))
(/ (+ (/ 1 x) (/ 1 (* x y))) y)
(* -1 (/ (- (* -1 (/ (+ (/ 1 x) (* 1/4 (/ 1 (* x y)))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (* x y))) (* 1/4 (/ 1 x))) y)) (/ 1 x)) y)) (/ 1 x)) y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* 1/2 x)
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(* x y)
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* (pow x 2) (+ 1/4 (* y (- y 1/2))))
(* (pow x 2) (+ 1/4 (* y (- y 1/2))))
(* (pow x 2) (+ 1/4 (* y (- y 1/2))))
(* (pow x 2) (+ 1/4 (* y (- y 1/2))))
(* (pow x 2) (+ 1/4 (* y (- y 1/2))))
(* (pow x 2) (+ 1/4 (* y (- y 1/2))))
(* (pow x 2) (+ 1/4 (* y (- y 1/2))))
(* (pow x 2) (+ 1/4 (* y (- y 1/2))))
(* (pow x 2) (+ 1/4 (* y (- y 1/2))))
(* (pow x 2) (+ 1/4 (* y (- y 1/2))))
(* (pow x 2) (+ 1/4 (* y (- y 1/2))))
(* (pow x 2) (+ 1/4 (* y (- y 1/2))))
(* 1/4 (pow x 2))
(+ (* -1/2 (* (pow x 2) y)) (* 1/4 (pow x 2)))
(+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 (pow x 2)) (* (pow x 2) y))))
(+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 (pow x 2)) (* (pow x 2) y))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (pow x 2)))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (+ (* 1/4 (/ (pow x 2) (pow y 2))) (pow x 2))))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (+ (* 1/4 (/ (pow x 2) (pow y 2))) (pow x 2))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 (pow x 2))) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 (pow x 2))) y)) (pow x 2)))
(* (pow x 2) (* y (- y 1/2)))
(* (pow x 2) (* y (- y 1/2)))
(* (pow x 2) (* y (- y 1/2)))
(* (pow x 2) (* y (- y 1/2)))
(* (pow x 2) (* y (- y 1/2)))
(* (pow x 2) (* y (- y 1/2)))
(* (pow x 2) (* y (- y 1/2)))
(* (pow x 2) (* y (- y 1/2)))
(* (pow x 2) (* y (- y 1/2)))
(* (pow x 2) (* y (- y 1/2)))
(* (pow x 2) (* y (- y 1/2)))
(* (pow x 2) (* y (- y 1/2)))
(* -1/2 (* (pow x 2) y))
(* y (+ (* -1/2 (pow x 2)) (* (pow x 2) y)))
(* y (+ (* -1/2 (pow x 2)) (* (pow x 2) y)))
(* y (+ (* -1/2 (pow x 2)) (* (pow x 2) y)))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (pow x 2)))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (pow x 2)))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (pow x 2)))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (pow x 2)))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (pow x 2)))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) y)) (pow x 2)))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 y))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* x (+ 1/2 y))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
z
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
z
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))

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

eval529.0ms (4.9%)

Compiler: Compiled 60390 to 30897 computations (48.8% saved)

prune294.0ms (2.7%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1317	1	1318
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	1318	9	1327

Accuracy

100.0%

Counts

1327 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) x) z)
▶	59.8%	(+.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))) z)
✓	62.2%	(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
✓	71.9%	(+.f64 (*.f64 y x) z)
✓	66.3%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	62.2%	(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
✓	34.9%	(*.f64 x y)
✓	29.3%	(*.f64 x #s(literal 1/2 binary64))
✓	38.9%	z

Compiler

Compiled 84 to 60 computations (28.6% saved)

localize802.0ms (7.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	0	(.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
✓	cost-diff	896	(.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64)))))
✓	cost-diff	896	(+.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))) z)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓	accuracy	99.9%	(.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
✓	accuracy	49.8%	(.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64)))))

Rules

13870×	`accelerator-lowering-fma.f32`
13870×	`accelerator-lowering-fma.f64`
4074×	`+-lowering-+.f64`
4074×	`+-lowering-+.f32`
3010×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	94
1	43	58
2	164	52
3	778	52
4	6144	52
0	8736	51

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

75.0ms

256×

valid

Compiler

Compiled 84 to 56 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 28.0ms (53.5% of total)

ival-add: 17.0ms (32.5% of total)

ival-div: 5.0ms (9.5% of total)

const: 2.0ms (3.8% of total)

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

series15.0ms (0.1%)

Counts

5 → 132

Calls

Call 1

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

Outputs
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 1/2 (/ x y))))>
#<alt (* y (+ x (* 1/2 (/ x y))))>
#<alt (* y (+ x (* 1/2 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))>
#<alt (/ 1 (* x (- y 1/2)))>
#<alt (/ 1 (* x (- y 1/2)))>
#<alt (/ 1 (* x (- y 1/2)))>
#<alt (/ 1 (* x (- y 1/2)))>
#<alt (/ 1 (* x (- y 1/2)))>
#<alt (/ 1 (* x (- y 1/2)))>
#<alt (/ 1 (* x (- y 1/2)))>
#<alt (/ 1 (* x (- y 1/2)))>
#<alt (/ 1 (* x (- y 1/2)))>
#<alt (/ 1 (* x (- y 1/2)))>
#<alt (/ 1 (* x (- y 1/2)))>
#<alt (/ 1 (* x (- y 1/2)))>
#<alt (/ -2 x)>
#<alt (- (* -4 (/ y x)) (* 2 (/ 1 x)))>
#<alt (- (* y (- (* -8 (/ y x)) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))>
#<alt (- (* y (- (* y (- (* -16 (/ y x)) (* 8 (/ 1 x)))) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))) y)>
#<alt (/ (+ (/ 1/4 (* x (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y)>
#<alt (/ (+ (/ 1/2 (* x y)) (+ (/ 1 x) (+ (* 1/4 (/ 1 (* x (pow y 2)))) (* 1/8 (/ 1 (* x (pow y 3))))))) y)>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))) y)>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (* x y)))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (+ (/ 1/8 (* x (pow y 2))) (+ (/ 1/4 (* x y)) (* 1/2 (/ 1 x)))) y)) (/ 1 x)) y))>
#<alt (* (pow x 2) (* (+ 1/2 y) (- y 1/2)))>
#<alt (* (pow x 2) (* (+ 1/2 y) (- y 1/2)))>
#<alt (* (pow x 2) (* (+ 1/2 y) (- y 1/2)))>
#<alt (* (pow x 2) (* (+ 1/2 y) (- y 1/2)))>
#<alt (* (pow x 2) (* (+ 1/2 y) (- y 1/2)))>
#<alt (* (pow x 2) (* (+ 1/2 y) (- y 1/2)))>
#<alt (* (pow x 2) (* (+ 1/2 y) (- y 1/2)))>
#<alt (* (pow x 2) (* (+ 1/2 y) (- y 1/2)))>
#<alt (* (pow x 2) (* (+ 1/2 y) (- y 1/2)))>
#<alt (* (pow x 2) (* (+ 1/2 y) (- y 1/2)))>
#<alt (* (pow x 2) (* (+ 1/2 y) (- y 1/2)))>
#<alt (* (pow x 2) (* (+ 1/2 y) (- y 1/2)))>
#<alt (* -1/4 (pow x 2))>
#<alt (+ (* -1/4 (pow x 2)) (* (pow x 2) (pow y 2)))>
#<alt (+ (* -1/4 (pow x 2)) (* (pow x 2) (pow y 2)))>
#<alt (+ (* -1/4 (pow x 2)) (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 1/2 (/ x y))))>
#<alt (* y (+ x (* 1/2 (/ x y))))>
#<alt (* y (+ x (* 1/2 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))>
#<alt z>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 (+ y (/ z x))))>
#<alt (* x (+ 1/2 (+ y (/ z x))))>
#<alt (* x (+ 1/2 (+ y (/ z x))))>
#<alt (* x (+ 1/2 y))>
#<alt (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))>
#<alt (+ z (* 1/2 x))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))>
#<alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))>
#<alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))>
#<alt (* x (+ 1/2 y))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt z>
#<alt (* z (+ 1 (/ (* x (+ 1/2 y)) z)))>
#<alt (* z (+ 1 (/ (* x (+ 1/2 y)) z)))>
#<alt (* z (+ 1 (/ (* x (+ 1/2 y)) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))>

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(* (* x (+ 1/2 y)) (* x (+ y -1/2)))
1.0ms	x	@	0	(/ 1 (* x (+ y -1/2)))
0.0ms	x	@	0	(* (* x (+ 1/2 y)) (* x (+ y -1/2)))
0.0ms	y	@	0	(* (* x (+ 1/2 y)) (* x (+ y -1/2)))
0.0ms	y	@	inf	(/ 1 (* x (+ y -1/2)))

rewrite924.0ms (8.5%)

Algorithm

1×	batch-egg-rewrite

Rules

6428×	`accelerator-lowering-fma.f32`
6428×	`accelerator-lowering-fma.f64`
5934×	`-lowering-.f32`
5934×	`-lowering-.f64`
3786×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	90	41
2	739	35
0	9039	34

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 980

Calls

Call 1

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

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

simplify375.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

7490×	`accelerator-lowering-fma.f32`
7490×	`accelerator-lowering-fma.f64`
3616×	`-lowering-.f32`
3616×	`-lowering-.f64`
1350×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	970
1	376	934
2	1008	930
3	2770	922
4	6544	922
0	8213	876

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* 1/2 x)
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(* x y)
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(/ 1 (* x (- y 1/2)))
(/ 1 (* x (- y 1/2)))
(/ 1 (* x (- y 1/2)))
(/ 1 (* x (- y 1/2)))
(/ 1 (* x (- y 1/2)))
(/ 1 (* x (- y 1/2)))
(/ 1 (* x (- y 1/2)))
(/ 1 (* x (- y 1/2)))
(/ 1 (* x (- y 1/2)))
(/ 1 (* x (- y 1/2)))
(/ 1 (* x (- y 1/2)))
(/ 1 (* x (- y 1/2)))
(/ -2 x)
(- (* -4 (/ y x)) (* 2 (/ 1 x)))
(- (* y (- (* -8 (/ y x)) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))
(- (* y (- (* y (- (* -16 (/ y x)) (* 8 (/ 1 x)))) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))
(/ 1 (* x y))
(/ (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))) y)
(/ (+ (/ 1/4 (* x (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y)
(/ (+ (/ 1/2 (* x y)) (+ (/ 1 x) (+ (* 1/4 (/ 1 (* x (pow y 2)))) (* 1/8 (/ 1 (* x (pow y 3))))))) y)
(/ 1 (* x y))
(/ (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))) y)
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (* x y)))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (+ (/ 1/8 (* x (pow y 2))) (+ (/ 1/4 (* x y)) (* 1/2 (/ 1 x)))) y)) (/ 1 x)) y))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(* -1/4 (pow x 2))
(+ (* -1/4 (pow x 2)) (* (pow x 2) (pow y 2)))
(+ (* -1/4 (pow x 2)) (* (pow x 2) (pow y 2)))
(+ (* -1/4 (pow x 2)) (* (pow x 2) (pow y 2)))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* 1/2 x)
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(* x y)
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 y))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* x (+ 1/2 y))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
z
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
z
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))

Outputs
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x y)
(*.f64 x y)
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(/ 1 (* x (- y 1/2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/ 1 (* x (- y 1/2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/ 1 (* x (- y 1/2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/ 1 (* x (- y 1/2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/ 1 (* x (- y 1/2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/ 1 (* x (- y 1/2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/ 1 (* x (- y 1/2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/ 1 (* x (- y 1/2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/ 1 (* x (- y 1/2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/ 1 (* x (- y 1/2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/ 1 (* x (- y 1/2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/ 1 (* x (- y 1/2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(- (* -4 (/ y x)) (* 2 (/ 1 x)))
(.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 y #s(literal 4 binary64))))
(- (* y (- (* -8 (/ y x)) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))
(+.f64 (.f64 (/.f64 y x) (+.f64 #s(literal -4 binary64) (.f64 y #s(literal -8 binary64)))) (/.f64 #s(literal -2 binary64) x))
(- (* y (- (* y (- (* -16 (/ y x)) (* 8 (/ 1 x)))) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))
(+.f64 (.f64 y (+.f64 (.f64 (/.f64 y x) (+.f64 #s(literal -8 binary64) (*.f64 y #s(literal -16 binary64)))) (/.f64 #s(literal -4 binary64) x))) (/.f64 #s(literal -2 binary64) x))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(/ (+ (/ 1/4 (* x (pow y 2))) (+ (/ 1/2 (* x y)) (/ 1 x))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)))) y)
(/ (+ (/ 1/2 (* x y)) (+ (/ 1 x) (+ (* 1/4 (/ 1 (* x (pow y 2)))) (* 1/8 (/ 1 (* x (pow y 3))))))) y)
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 x y))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) y)))) y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (+ (/ 1 x) (* 1/2 (/ 1 (* x y)))) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))) y)
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (* x y)))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) y))) y)) y)
(* -1 (/ (- (* -1 (/ (+ (/ 1/8 (* x (pow y 2))) (+ (/ 1/4 (* x y)) (* 1/2 (/ 1 x)))) y)) (/ 1 x)) y))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 y (.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) y)))) y)) y)
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(.f64 x (.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (+.f64 y #s(literal -1/2 binary64)))))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(.f64 x (.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (+.f64 y #s(literal -1/2 binary64)))))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(.f64 x (.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (+.f64 y #s(literal -1/2 binary64)))))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(.f64 x (.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (+.f64 y #s(literal -1/2 binary64)))))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(.f64 x (.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (+.f64 y #s(literal -1/2 binary64)))))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(.f64 x (.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (+.f64 y #s(literal -1/2 binary64)))))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(.f64 x (.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (+.f64 y #s(literal -1/2 binary64)))))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(.f64 x (.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (+.f64 y #s(literal -1/2 binary64)))))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(.f64 x (.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (+.f64 y #s(literal -1/2 binary64)))))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(.f64 x (.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (+.f64 y #s(literal -1/2 binary64)))))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(.f64 x (.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (+.f64 y #s(literal -1/2 binary64)))))
(* (pow x 2) (* (+ 1/2 y) (- y 1/2)))
(.f64 x (.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (+.f64 y #s(literal -1/2 binary64)))))
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(+ (* -1/4 (pow x 2)) (* (pow x 2) (pow y 2)))
(.f64 (.f64 x x) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))
(+ (* -1/4 (pow x 2)) (* (pow x 2) (pow y 2)))
(.f64 (.f64 x x) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))
(+ (* -1/4 (pow x 2)) (* (pow x 2) (pow y 2)))
(.f64 (.f64 x x) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 y (*.f64 x y)))
(* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))
(.f64 (.f64 x x) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))
(* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))
(.f64 (.f64 x x) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))
(* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))
(.f64 (.f64 x x) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 y (*.f64 x y)))
(* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))
(.f64 (.f64 x x) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))
(* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))
(.f64 (.f64 x x) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))
(* (pow y 2) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (pow x 2)))
(.f64 (.f64 x x) (+.f64 (*.f64 y y) #s(literal -1/4 binary64)))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 x) (* x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x y)
(*.f64 x y)
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* y (+ x (* 1/2 (/ x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
z
(+ z (* x (+ 1/2 y)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(+ z (* x (+ 1/2 y)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(+ z (* x (+ 1/2 y)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* x (+ 1/2 (+ y (/ z x))))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* x (+ 1/2 (+ y (/ z x))))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* x (+ 1/2 (+ y (/ z x))))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(+ z (* 1/2 x))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(+ z (+ (* 1/2 x) (* x y)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(+ z (+ (* 1/2 x) (* x y)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(+ z (+ (* 1/2 x) (* x y)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* x (+ 1/2 y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+ z (* x (+ 1/2 y)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(+ z (* x (+ 1/2 y)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(+ z (* x (+ 1/2 y)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
z
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
z
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)

eval445.0ms (4.1%)

Compiler: Compiled 32371 to 19695 computations (39.2% saved)

prune271.0ms (2.5%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1111	1	1112
Fresh	0	0	0
Picked	1	0	1
Done	0	8	8
Total	1112	9	1121

Accuracy

100.0%

Counts

1121 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) x) z)
	27.0%	(+.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)
✓	62.2%	(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
✓	71.9%	(+.f64 (*.f64 y x) z)
✓	66.3%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	62.2%	(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
✓	34.9%	(*.f64 x y)
✓	29.3%	(*.f64 x #s(literal 1/2 binary64))
✓	38.9%	z

Compiler

Compiled 214 to 131 computations (38.8% saved)

regimes52.0ms (0.5%)

Counts

13 → 1

Calls

Call 1

Inputs
z
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x y)
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(+.f64 (*.f64 x y) z)
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (+.f64 y #s(literal 1/2 binary64)) x) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)
(+.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)) (.f64 x (+.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1/2 binary64))))) z)
(+.f64 (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))) (/.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (.f64 (.f64 x y) (.f64 x (-.f64 y #s(literal 1/2 binary64))))))) z)

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

Calls

5 calls:

34.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
5.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Results

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes11.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes27.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	x
8.0ms	z
8.0ms	y

Results

Accuracy	Segments	Branch
86.6%	4	`x`
98.6%	3	`y`
88.7%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
82.4%	3	`z`
87.7%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes51.0ms (0.5%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	x
6.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
79.3%	5	`z`
76.7%	3	`x`
72.2%	7	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.2%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
6.0ms	y
5.0ms	z

Results

Accuracy	Segments	Branch
70.4%	7	`y`
58.4%	4	`z`
59.2%	6	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 x #s(literal 1/2 binary64))

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

Calls

2 calls:

4.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
55.6%	3	`z`
48.9%	5	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

0.0ms	x
0.0ms	z
0.0ms	y

Results

Accuracy	Segments	Branch
38.9%	1	`y`
38.9%	1	`x`
38.9%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch24.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.04004163806654263	56.015723492695905
8.0ms	-49342883.86086697	-3894875.792326833

Results

12.0ms

224×

valid

Compiler

Compiled 270 to 195 computations (27.8% saved)

Precisions

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

ival-div: 2.0ms (35.2% of total)

ival-add: 2.0ms (35.2% of total)

ival-mult: 2.0ms (35.2% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	6.116107749667494e+28	9.645613027641383e+28
8.0ms	-49342883.86086697	-3894875.792326833

Results

9.0ms

160×

valid

Compiler

Compiled 190 to 145 computations (23.7% saved)

Precisions

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

ival-add: 2.0ms (48.2% of total)

ival-div: 1.0ms (24.1% of total)

ival-mult: 1.0ms (24.1% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.663865533426925e-134	2.7672495518751824e-126
11.0ms	-1.9026435760251102e-51	-1.4971735120681508e-52

Results

13.0ms

240×

valid

Compiler

Compiled 228 to 178 computations (21.9% saved)

Precisions

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

ival-div: 2.0ms (32.8% of total)

ival-add: 2.0ms (32.8% of total)

ival-mult: 2.0ms (32.8% of total)

const: 0.0ms (0% of total)

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

bsearch72.0ms (0.7%)

Algorithm

6×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	204.67972937771933	27236763443200766000.0
11.0ms	2.0575002628888504e-221	5.5897735712830924e-217
11.0ms	-3.6362669392794483e-210	-5.816484527632069e-211
10.0ms	-3.05313758059646e-161	-5.0204253092293574e-163
8.0ms	-7.688878234402206e-7	-1.1175450593474017e-7
11.0ms	-49342883.86086697	-3894875.792326833

Results

41.0ms

688×

valid

Compiler

Compiled 534 to 427 computations (20% saved)

Precisions

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

ival-add: 7.0ms (39.9% of total)

ival-div: 5.0ms (28.5% of total)

ival-mult: 5.0ms (28.5% of total)

const: 1.0ms (5.7% of total)

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

bsearch69.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	7.254178338823833e-32	6.16700168937612e-24
55.0ms	-4.969353268868003e-21	-8.56175089457979e-26

Results

15.0ms	271×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 222 to 183 computations (17.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (42.4% of total)

ival-div: 2.0ms (28.2% of total)

ival-mult: 2.0ms (28.2% of total)

const: 0.0ms (0% of total)

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

soundness24.0ms (0.2%)

Stop Event

1×

fuel

Compiler

Compiled 135 to 77 computations (43% saved)

preprocess49.0ms (0.4%)

Compiler: Compiled 294 to 170 computations (42.2% saved)

analyze0.0ms (0%)

sample778.0ms (7.1%)

preprocess74.0ms (0.7%)

explain85.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize57.0ms (0.5%)

series22.0ms (0.2%)

rewrite856.0ms (7.9%)

simplify346.0ms (3.2%)

eval222.0ms (2%)

prune71.0ms (0.7%)

localize123.0ms (1.1%)

series12.0ms (0.1%)

rewrite647.0ms (5.9%)

simplify396.0ms (3.6%)

eval153.0ms (1.4%)

prune130.0ms (1.2%)

localize1.2s (11.4%)

series22.0ms (0.2%)

rewrite991.0ms (9.1%)

simplify535.0ms (4.9%)

eval529.0ms (4.9%)

prune294.0ms (2.7%)

localize802.0ms (7.4%)

series15.0ms (0.1%)

rewrite924.0ms (8.5%)

simplify375.0ms (3.4%)

eval445.0ms (4.1%)

prune271.0ms (2.5%)

regimes52.0ms (0.5%)

regimes11.0ms (0.1%)

regimes27.0ms (0.2%)

regimes14.0ms (0.1%)

regimes51.0ms (0.5%)

regimes17.0ms (0.2%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

bsearch24.0ms (0.2%)

bsearch16.0ms (0.1%)

bsearch25.0ms (0.2%)

bsearch72.0ms (0.7%)

bsearch69.0ms (0.6%)

soundness24.0ms (0.2%)

preprocess49.0ms (0.4%)

end0.0ms (0%)

Profiling