Metrics for Data.Colour.CIE:cieLABView from colour-2.3.3, C

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

ival-sub: 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)

sample820.0ms (17.6%)

Results

599.0ms	8100×	0	valid
8.0ms	58×	2	valid
7.0ms	29×	3	valid
7.0ms	69×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-sub: 130.0ms (56.2% of total)

ival-mult: 83.0ms (35.9% of total)

const: 12.0ms (5.2% of total)

backward-pass: 6.0ms (2.6% of total)

Bogosity

preprocess59.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

416×	`fnmsub-define`
416×	`fmsub-define`
384×	`fnmadd-define`
324×	`fnmadd-define`
260×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	42	30
2	118	30
3	368	30
4	765	30
5	1346	30
6	1440	30
7	1448	30
0	5	5
1	8	5
2	19	5
3	39	5
4	69	5
5	116	5
6	227	5
7	393	5
8	625	5
9	843	5
10	1087	5
11	1147	5
0	1147	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* 200 (- x y))

Outputs
(* 200 (- x y))
(*.f64 #s(literal 200 binary64) (-.f64 x y))

Call 2

Inputs
(* 200 (- x y))
(* 200 (- (neg x) y))
(* 200 (- x (neg y)))
(neg (* 200 (- (neg x) y)))
(neg (* 200 (- x (neg y))))
(* 200 (- y x))

Outputs
(* 200 (- x y))
(* 200 (- (neg x) y))
(* (+ x y) -200)
(* 200 (- x (neg y)))
(* 200 (+ x y))
(neg (* 200 (- (neg x) y)))
(* 200 (+ x y))
(neg (* 200 (- x (neg y))))
(* (+ x y) -200)
(* 200 (- y x))

explain103.0ms (2.2%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(-.f64 x y)`
-	-	`(*.f64 #s(literal 200 binary64) (-.f64 x y))`
-	-	`#s(literal 200 binary64)`
-	-	`y`

Results

72.0ms	502×	0	valid
13.0ms	2×	2	valid
1.0ms	6×	1	valid
1.0ms	2×	3	valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sub: 18.0ms (77.3% of total)

ival-mult: 4.0ms (17.2% of total)

const: 1.0ms (4.3% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 #s(literal 200 binary64) (-.f64 x y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify31.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(*.f64 #s(literal 200 binary64) (-.f64 x y))

Rules

324×	`fnmadd-define`
256×	`fnmsub-define`
256×	`fmsub-define`
240×	`fma-lowering-fma.f32`
240×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	8	11
2	19	11
3	39	11
4	69	11
5	116	11
6	227	11
7	393	11
8	625	11
9	843	11
10	1087	11
11	1147	11
0	1147	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* 200 (- x y))
200
(- x y)
x
y

Outputs
(* 200 (- x y))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
200
#s(literal 200 binary64)
(- x y)
(-.f64 x y)
x
y

localize26.0ms (0.6%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 #s(literal 200 binary64) (-.f64 x y))

Results

19.0ms	251×	0	valid
0.0ms	3×	1	valid
0.0ms	1×	3	valid
0.0ms	1×	2	valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (39.5% of total)

ival-sub: 2.0ms (39.5% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (* 200 (- x y))>
#<alt (- x y)>

Outputs
#<alt (* -200 y)>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (* 200 x)>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* 200 x)>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* 200 x)>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (* -200 y)>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* -200 y)>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(* 200 (- x y))
0.0ms	x	@	-inf	(* 200 (- x y))
0.0ms	y	@	inf	(* 200 (- x y))
0.0ms	x	@	0	(* 200 (- x y))
0.0ms	x	@	inf	(- x y)

rewrite672.0ms (14.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2520×	`/-lowering-/.f32`
2520×	`/-lowering-/.f64`
2378×	`-lowering-.f32`
2378×	`-lowering-.f64`
1866×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	21	8
2	161	8
3	1674	8
0	8522	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 249

Calls

Call 1

Inputs
(* 200 (- x y))
(- x y)

Outputs
(+.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal 200 binary64) x))
(+.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal -200 binary64) y))
(-.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal 200 binary64)))
(-.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal 200 binary64) y))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal 200 binary64) x)) (-.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal -200 binary64) y))) (/.f64 (.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal -200 binary64) y)) (-.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal -200 binary64) y))))
(fma.f64 #s(literal 200 binary64) x (*.f64 #s(literal -200 binary64) y))
(fma.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 200 binary64) x))
(fma.f64 x #s(literal 200 binary64) (*.f64 #s(literal -200 binary64) y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 200 binary64) (*.f64 #s(literal 200 binary64) x))
(fma.f64 #s(literal -1 binary64) (.f64 y #s(literal 200 binary64)) (.f64 #s(literal 200 binary64) x))
(fma.f64 #s(literal -200 binary64) y (*.f64 #s(literal 200 binary64) x))
(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 #s(literal 200 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 #s(literal 200 binary64) (-.f64 (.f64 x x) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 #s(literal 200 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) (.f64 #s(literal 200 binary64) (-.f64 (.f64 x x) (*.f64 y y))))))
(/.f64 (.f64 #s(literal 200 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (.f64 #s(literal 200 binary64) (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 x y))
(/.f64 (neg.f64 (.f64 #s(literal 200 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (.f64 #s(literal 200 binary64) (-.f64 (.f64 x x) (*.f64 y y)))) (-.f64 (-.f64 #s(literal 0 binary64) y) x))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8000000 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64))) (+.f64 (.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal 200 binary64) x)) (-.f64 (.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal -200 binary64) y)) (.f64 (.f64 #s(literal 200 binary64) x) (*.f64 #s(literal -200 binary64) y)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal 200 binary64) x)) (.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal -200 binary64) y))) (-.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal -200 binary64) y)))
(/.f64 #s(literal -200 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (*.f64 y y)))) (-.f64 (-.f64 #s(literal 0 binary64) y) x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) #s(literal 200 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (*.f64 y y))) #s(literal 200 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) y) x))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 200 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 200 binary64) (-.f64 (.f64 x x) (*.f64 y y))))) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8000000 binary64)) (.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal 200 binary64) x)) (-.f64 (.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal -200 binary64) y)) (.f64 (.f64 #s(literal 200 binary64) x) (*.f64 #s(literal -200 binary64) y))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal 200 binary64) x)) (.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal -200 binary64) y)))) (neg.f64 (-.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal -200 binary64) y))))
(/.f64 (neg.f64 (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (neg.f64 (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (*.f64 y y))))) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) #s(literal 200 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (*.f64 y y))) #s(literal 200 binary64))) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x)))
(/.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 8000000 binary64))) (+.f64 (.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal -200 binary64) y)) (-.f64 (.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal 200 binary64) x)) (.f64 (.f64 #s(literal -200 binary64) y) (*.f64 #s(literal 200 binary64) x)))))
(pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 #s(literal 200 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x y) (.f64 #s(literal 200 binary64) (-.f64 (.f64 x x) (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(*.f64 (-.f64 x y) #s(literal 200 binary64))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) #s(literal 200 binary64)))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 200 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 200 binary64)))
(.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal 200 binary64) (+.f64 x y)))
(.f64 (.f64 #s(literal 200 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))))
(.f64 (.f64 #s(literal 200 binary64) (-.f64 (.f64 x x) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(.f64 (/.f64 (.f64 #s(literal 200 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (+.f64 x y)) (-.f64 (.f64 y (+.f64 x y)) (*.f64 x x)))))
(.f64 (/.f64 (.f64 #s(literal 200 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (-.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (-.f64 (.f64 x x) (*.f64 y (+.f64 x y))))
(.f64 (/.f64 (.f64 #s(literal 200 binary64) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 x y))
(.f64 (/.f64 (.f64 #s(literal 200 binary64) (-.f64 (.f64 x x) (.f64 y y))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(+.f64 x (-.f64 #s(literal 0 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (+.f64 x y))))
(+.f64 (fma.f64 x (/.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (neg.f64 (.f64 (/.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) y))) (fma.f64 (neg.f64 (/.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))) y (.f64 (/.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) y)))
(+.f64 (fma.f64 x (/.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (.f64 y (.f64 y y))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (.f64 y (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (.f64 y (*.f64 y y)))))
(+.f64 (fma.f64 x (/.f64 (.f64 x x) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (neg.f64 (.f64 (/.f64 y (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (.f64 y y)))) (fma.f64 (neg.f64 (/.f64 y (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (.f64 y y) (.f64 (/.f64 y (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (.f64 y y))))
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(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (.f64 y (.f64 y y)))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 y (.f64 y y)))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 y (*.f64 y y)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (.f64 y (.f64 y y)))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) (.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 y y)))) (*.f64 (+.f64 x y) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (/.f64 (+.f64 x y) (.f64 y y))) (+.f64 x y)) (.f64 (+.f64 x y) (/.f64 (+.f64 x y) (*.f64 y y))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 x y)) (.f64 (/.f64 (+.f64 x y) (.f64 x x)) (.f64 y y))) (.f64 (/.f64 (+.f64 x y) (.f64 x x)) (+.f64 x y)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) (.f64 (/.f64 (+.f64 x y) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 y y)))) (.f64 (/.f64 (+.f64 x y) (.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (.f64 y y))) (.f64 (/.f64 (+.f64 x y) (.f64 x x)) #s(literal 1 binary64))) (.f64 (/.f64 (+.f64 x y) (.f64 x x)) (/.f64 (+.f64 x y) (*.f64 y y))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (+.f64 x y)) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) (.f64 y y))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) (+.f64 x y)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) y) x)) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) (-.f64 #s(literal 0 binary64) (.f64 y y)))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 (+.f64 x y) (.f64 y y))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 1 binary64))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 (+.f64 x y) (.f64 y y))))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 x x))) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 y (.f64 y y))))) (neg.f64 (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x y)) (.f64 (+.f64 x y) (.f64 y y)))) (neg.f64 (*.f64 (+.f64 x y) (+.f64 x y))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) y) x))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x x) (*.f64 y y)))) (+.f64 x y))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 y y))))) (neg.f64 (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))))) (.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))))))) (neg.f64 (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (neg.f64 (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (+.f64 x y))) (+.f64 (.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y))) (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))))) (neg.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (+.f64 x y))) (.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y))))) (neg.f64 (+.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) (neg.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))) (neg.f64 (+.f64 (.f64 x x) (*.f64 y y))))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))))) (pow.f64 (neg.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (-.f64 (.f64 (neg.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))) (pow.f64 (neg.f64 (/.f64 (.f64 y y) (+.f64 x y))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (+.f64 x y))) (-.f64 (.f64 (neg.f64 (/.f64 (.f64 y y) (+.f64 x y))) (neg.f64 (/.f64 (.f64 y y) (+.f64 x y)))) (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 x y)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))))
(.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (/.f64 (-.f64 x y) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (-.f64 (.f64 x x) (*.f64 y y)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (*.f64 y y))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (+.f64 x y)) (-.f64 (.f64 y (+.f64 x y)) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (-.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (-.f64 (.f64 x x) (.f64 y (+.f64 x y))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))
(.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))))))
(.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y y))))

simplify174.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2000×	`sum3-define`
1642×	`fnmsub-define`
1626×	`fmsub-define`
1382×	`fma-lowering-fma.f32`
1382×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	189
1	123	189
2	351	189
3	1003	171
4	2483	171
5	5144	171
0	8069	171

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* -200 y)
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(* 200 x)
(* x (+ 200 (* -200 (/ y x))))
(* x (+ 200 (* -200 (/ y x))))
(* x (+ 200 (* -200 (/ y x))))
(* 200 x)
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* 200 x)
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(* -200 y)
(* y (- (* 200 (/ x y)) 200))
(* y (- (* 200 (/ x y)) 200))
(* y (- (* 200 (/ x y)) 200))
(* -200 y)
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Outputs
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

eval59.0ms (1.3%)

Compiler: Compiled 12896 to 929 computations (92.8% saved)

prune56.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	293	4	297
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	293	5	298

Accuracy

100.0%

Counts

298 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
▶	100.0%	(-.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal 200 binary64)))
✓	100.0%	(*.f64 #s(literal 200 binary64) (-.f64 x y))
▶	47.5%	(*.f64 #s(literal 200 binary64) x)
▶	54.3%	(*.f64 #s(literal -200 binary64) y)

Compiler

Compiled 35 to 26 computations (25.7% saved)

simplify41.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 x y))
✓	cost-diff	128	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
✓	cost-diff	0	(*.f64 y #s(literal 200 binary64))
✓	cost-diff	0	(*.f64 #s(literal 200 binary64) x)
✓	cost-diff	128	(-.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal 200 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 200 binary64) x)
✓	cost-diff	0	(*.f64 #s(literal -200 binary64) y)

Rules

504×	`fnmadd-define`
328×	`fnmsub-define`
328×	`fmsub-define`
306×	`fma-define`
280×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	28	40
2	43	40
3	65	40
4	98	40
5	181	40
6	344	40
7	593	40
8	786	40
9	1148	40
10	1459	40
11	1767	40
12	1871	40
0	1871	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* -200 y)
-200
y
(* 200 x)
200
x
(- (* 200 x) (* y 200))
(* 200 x)
200
x
(* y 200)
y
(/ 200 (/ 1 (- x y)))
200
(/ 1 (- x y))
1
(- x y)
x
y

Outputs
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
-200
#s(literal -200 binary64)
y
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
200
#s(literal 200 binary64)
x
(- (* 200 x) (* y 200))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
200
#s(literal 200 binary64)
x
(* y 200)
(*.f64 y #s(literal 200 binary64))
y
(/ 200 (/ 1 (- x y)))
(*.f64 #s(literal -200 binary64) (-.f64 y x))
200
#s(literal 200 binary64)
(/ 1 (- x y))
(/.f64 #s(literal 1 binary64) (-.f64 x y))
1
#s(literal 1 binary64)
(- x y)
(-.f64 x y)
x
y

localize70.0ms (1.5%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 x y))
✓	accuracy	99.5%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
✓	accuracy	100.0%	(*.f64 y #s(literal 200 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 200 binary64) x)
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal 200 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 200 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal -200 binary64) y)

Results

48.0ms	246×	0	valid
4.0ms	1×	3	valid
2.0ms	6×	1	valid
2.0ms	3×	2	valid

Compiler

Compiled 48 to 13 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 5.0ms (33.6% of total)

ival-mult: 5.0ms (33.6% of total)

ival-sub: 3.0ms (20.2% of total)

const: 1.0ms (6.7% of total)

backward-pass: 1.0ms (6.7% of total)

series16.0ms (0.3%)

Counts

7 → 132

Calls

Call 1

Inputs
#<alt (* -200 y)>
#<alt (* 200 x)>
#<alt (- (* 200 x) (* y 200))>
#<alt (* y 200)>
#<alt (/ 200 (/ 1 (- x y)))>
#<alt (/ 1 (- x y))>
#<alt (- x y)>

Outputs
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* -200 y)>
#<alt (- (* 200 x) (* 200 y))>
#<alt (- (* 200 x) (* 200 y))>
#<alt (- (* 200 x) (* 200 y))>
#<alt (* 200 x)>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* 200 x)>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* 200 x)>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (* -200 y)>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* -200 y)>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (* 200 y)>
#<alt (* 200 y)>
#<alt (* 200 y)>
#<alt (* 200 y)>
#<alt (* 200 y)>
#<alt (* 200 y)>
#<alt (* 200 y)>
#<alt (* 200 y)>
#<alt (* 200 y)>
#<alt (* 200 y)>
#<alt (* 200 y)>
#<alt (* 200 y)>
#<alt (* -200 y)>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (* 200 x)>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* x (+ 200 (* -200 (/ y x))))>
#<alt (* 200 x)>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* -1 (* x (- (* 200 (/ y x)) 200)))>
#<alt (* 200 x)>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (+ (* -200 y) (* 200 x))>
#<alt (* -200 y)>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* y (- (* 200 (/ x y)) 200))>
#<alt (* -200 y)>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (* -1 (* y (+ 200 (* -200 (/ x y)))))>
#<alt (/ -1 y)>
#<alt (- (* -1 (/ x (pow y 2))) (/ 1 y))>
#<alt (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ y x)) x)>
#<alt (/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x)>
#<alt (/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1 (/ y x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ y (pow x 2)))>
#<alt (+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))>
#<alt (+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))>
#<alt (/ -1 y)>
#<alt (/ (- (* -1 (/ x y)) 1) y)>
#<alt (/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y)>
#<alt (/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (/ x y)) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(/ 1 (- x y))
1.0ms	y	@	-inf	(- (* 200 x) (* y 200))
0.0ms	y	@	-inf	(* -200 y)
0.0ms	y	@	inf	(/ 1 (- x y))
0.0ms	y	@	inf	(* -200 y)

rewrite376.0ms (8.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4042×	`-lowering-.f32`
4042×	`-lowering-.f64`
2400×	`/-lowering-/.f32`
2400×	`/-lowering-/.f64`
1744×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	73	26
2	494	26
3	6713	26
0	8757	26

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 603

Calls

Call 1

Inputs
(* -200 y)
(* 200 x)
(- (* 200 x) (* y 200))
(* y 200)
(/ 200 (/ 1 (- x y)))
(/ 1 (- x y))
(- x y)

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -200 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 200 binary64)))
(neg.f64 (*.f64 y #s(literal 200 binary64)))
(/.f64 (.f64 (.f64 y y) #s(literal -40000 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 200 binary64))))
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -8000000 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 40000 binary64))) (.f64 y #s(literal 0 binary64)))))
(*.f64 #s(literal -200 binary64) y)
(*.f64 y #s(literal -200 binary64))
(*.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) y))
(.f64 (.f64 y #s(literal 200 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal 200 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 200 binary64))
(*.f64 #s(literal 200 binary64) x)
(*.f64 x #s(literal 200 binary64))
(+.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal -200 binary64) y))
(+.f64 (.f64 #s(literal 200 binary64) x) (+.f64 (.f64 y #s(literal 0 binary64)) (*.f64 #s(literal -200 binary64) y)))
(+.f64 (.f64 #s(literal 200 binary64) x) (neg.f64 (-.f64 (.f64 y #s(literal 200 binary64)) (*.f64 y #s(literal 0 binary64)))))
(+.f64 (.f64 #s(literal 200 binary64) x) (+.f64 (+.f64 (.f64 y #s(literal 0 binary64)) (.f64 #s(literal -200 binary64) y)) (.f64 y #s(literal 0 binary64))))
(+.f64 (.f64 #s(literal 200 binary64) x) (+.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal 2 binary64) (.f64 y #s(literal 0 binary64)))))
(+.f64 (.f64 #s(literal 200 binary64) x) (+.f64 (+.f64 (.f64 y #s(literal 0 binary64)) (.f64 #s(literal -200 binary64) y)) (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 0 binary64)))))
(+.f64 (/.f64 (-.f64 x y) #s(literal 1/200 binary64)) (*.f64 y #s(literal 0 binary64)))
(+.f64 (/.f64 (-.f64 x y) #s(literal 1/200 binary64)) (.f64 #s(literal 2 binary64) (.f64 y #s(literal 0 binary64))))
(+.f64 (/.f64 (-.f64 x y) #s(literal 1/200 binary64)) (.f64 #s(literal 1 binary64) (.f64 y #s(literal 0 binary64))))
(+.f64 (/.f64 (-.f64 x y) #s(literal 1/200 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 0 binary64)))))
(+.f64 (/.f64 (-.f64 x y) #s(literal 1/200 binary64)) (.f64 (.f64 y #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (-.f64 x y) #s(literal 1/200 binary64)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 0 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (-.f64 x y) #s(literal 1/200 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 0 binary64))) (*.f64 y #s(literal 0 binary64))))
(+.f64 (/.f64 (-.f64 x y) #s(literal 1/200 binary64)) (+.f64 (.f64 y #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 0 binary64)))))
(+.f64 (/.f64 (-.f64 x y) #s(literal 1/200 binary64)) (+.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 0 binary64))) (.f64 #s(literal 2 binary64) (.f64 y #s(literal 0 binary64)))))
(+.f64 (*.f64 y #s(literal 0 binary64)) (/.f64 (-.f64 x y) #s(literal 1/200 binary64)))
(+.f64 (.f64 #s(literal -200 binary64) y) (.f64 #s(literal 200 binary64) x))
(+.f64 (.f64 #s(literal -200 binary64) y) (+.f64 (.f64 #s(literal 200 binary64) x) (*.f64 y #s(literal 0 binary64))))
(+.f64 (.f64 #s(literal -200 binary64) y) (+.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal 2 binary64) (.f64 y #s(literal 0 binary64)))))
(+.f64 (.f64 #s(literal -200 binary64) y) (+.f64 (.f64 y #s(literal 200 binary64)) (/.f64 (-.f64 x y) #s(literal 1/200 binary64))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8000000 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal 40000 binary64)) (.f64 (.f64 y #s(literal 40000 binary64)) (+.f64 y x)))) (neg.f64 (/.f64 (.f64 y (.f64 (.f64 y y) #s(literal 8000000 binary64))) (+.f64 (.f64 (.f64 x x) #s(literal 40000 binary64)) (.f64 (.f64 y #s(literal 40000 binary64)) (+.f64 y x))))))
(+.f64 (.f64 #s(literal 200 binary64) (/.f64 (.f64 x x) (+.f64 y x))) (neg.f64 (.f64 #s(literal 200 binary64) (/.f64 (.f64 y y) (+.f64 y x)))))
(+.f64 (+.f64 (.f64 y #s(literal 0 binary64)) (.f64 #s(literal -200 binary64) y)) (*.f64 #s(literal 200 binary64) x))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 y #s(literal 0 binary64))) (/.f64 (-.f64 x y) #s(literal 1/200 binary64)))
(+.f64 (.f64 #s(literal -200 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal -200 binary64) y))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 200 binary64) x)) (.f64 #s(literal 1 binary64) (.f64 #s(literal -200 binary64) y)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 200 binary64) x)) (.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 0 binary64)) (*.f64 #s(literal -200 binary64) y))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -200 binary64) y)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 200 binary64) x)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal 0 binary64))) (/.f64 (-.f64 x y) #s(literal 1/200 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -200 binary64)) (.f64 #s(literal -200 binary64) y))
(+.f64 (.f64 (.f64 #s(literal 200 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -200 binary64) y) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 200 binary64) x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 y #s(literal 0 binary64)) (*.f64 #s(literal -200 binary64) y)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal -200 binary64) y) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 200 binary64) x) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 y #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x y) #s(literal 1/200 binary64)))
(+.f64 (+.f64 (/.f64 (-.f64 x y) #s(literal 1/200 binary64)) (.f64 #s(literal -200 binary64) y)) (.f64 y #s(literal 200 binary64)))
(+.f64 (+.f64 (.f64 y #s(literal 0 binary64)) (.f64 #s(literal 200 binary64) x)) (*.f64 #s(literal -200 binary64) y))
(+.f64 (+.f64 (.f64 y #s(literal 0 binary64)) (.f64 #s(literal 200 binary64) x)) (+.f64 (.f64 y #s(literal 0 binary64)) (.f64 #s(literal -200 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/200 binary64) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal 200 binary64)))
(-.f64 (.f64 #s(literal 200 binary64) x) (-.f64 (.f64 y #s(literal 200 binary64)) (*.f64 y #s(literal 0 binary64))))
(-.f64 (.f64 #s(literal 200 binary64) x) (-.f64 (-.f64 (.f64 y #s(literal 200 binary64)) (.f64 y #s(literal 0 binary64))) (.f64 y #s(literal 0 binary64))))
(-.f64 (.f64 #s(literal 200 binary64) x) (-.f64 (.f64 y #s(literal 200 binary64)) (.f64 #s(literal 2 binary64) (.f64 y #s(literal 0 binary64)))))
(-.f64 (.f64 #s(literal 200 binary64) x) (-.f64 (-.f64 (.f64 y #s(literal 200 binary64)) (.f64 y #s(literal 0 binary64))) (.f64 #s(literal 2 binary64) (*.f64 y #s(literal 0 binary64)))))
(-.f64 (.f64 y #s(literal 0 binary64)) (.f64 #s(literal -200 binary64) (-.f64 x y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -200 binary64) (-.f64 x y)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 y #s(literal 200 binary64)) (.f64 #s(literal 200 binary64) x)))
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(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 y y) (+.f64 y x)) #s(literal 1 binary64)))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(fma.f64 #s(literal -1 binary64) y x)
(neg.f64 (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))))
(/.f64 (-.f64 x y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 (-.f64 y x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 y y) (-.f64 (.f64 x x) (*.f64 x (-.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 y x))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 y x))))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y x))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (neg.f64 (+.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x))))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 #s(literal 0 binary64) (+.f64 y x)))
(/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y x))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y x))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y x))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (+.f64 y x) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y))))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (.f64 (+.f64 y x) (+.f64 (.f64 x x) (*.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y x))) (.f64 y (.f64 y y)))) (.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y x))) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x x) (*.f64 y y)))) (+.f64 y x)))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) (.f64 y y)) (+.f64 y x)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (*.f64 y y))) (+.f64 y x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (+.f64 y x)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x))) (+.f64 (.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x))) (.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))))))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) y) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x))) (.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))) (+.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 #s(literal 0 binary64) (+.f64 y x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x)))))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 y x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y)))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 y y)))) (+.f64 y x))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y x) #s(literal 1 binary64)))
(*.f64 (-.f64 y x) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x)))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y x))) (/.f64 (-.f64 x y) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x)))))
(.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y x))) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 y x))))))
(.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x))))))
(.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (-.f64 (.f64 x x) (*.f64 y y)))
(.f64 (pow.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 y x))) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (+.f64 (.f64 x x) (*.f64 y (+.f64 y x)))))
(*.f64 (pow.f64 (-.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 y x)))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (+.f64 y x)) (.f64 (.f64 y (+.f64 y x)) (.f64 y (+.f64 y x)))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (+.f64 y x)) (-.f64 (.f64 y (+.f64 y x)) (.f64 x x)))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (+.f64 y x)) (.f64 y (+.f64 y x))))) (-.f64 (.f64 x x) (*.f64 y (+.f64 y x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))

simplify233.0ms (5%)

Algorithm

1×	egg-herbie

Rules

2920×	`-lowering-.f32`
2920×	`-lowering-.f64`
1886×	`+-lowering-+.f64`
1886×	`+-lowering-+.f32`
1606×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	682
1	488	648
2	1349	620
3	5581	618
0	8536	618

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* -200 y)
(- (* 200 x) (* 200 y))
(- (* 200 x) (* 200 y))
(- (* 200 x) (* 200 y))
(* 200 x)
(* x (+ 200 (* -200 (/ y x))))
(* x (+ 200 (* -200 (/ y x))))
(* x (+ 200 (* -200 (/ y x))))
(* 200 x)
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* 200 x)
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(* -200 y)
(* y (- (* 200 (/ x y)) 200))
(* y (- (* 200 (/ x y)) 200))
(* y (- (* 200 (/ x y)) 200))
(* -200 y)
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* 200 y)
(* 200 y)
(* 200 y)
(* 200 y)
(* 200 y)
(* 200 y)
(* 200 y)
(* 200 y)
(* 200 y)
(* 200 y)
(* 200 y)
(* 200 y)
(* -200 y)
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(* 200 x)
(* x (+ 200 (* -200 (/ y x))))
(* x (+ 200 (* -200 (/ y x))))
(* x (+ 200 (* -200 (/ y x))))
(* 200 x)
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(* 200 x)
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(+ (* -200 y) (* 200 x))
(* -200 y)
(* y (- (* 200 (/ x y)) 200))
(* y (- (* 200 (/ x y)) 200))
(* y (- (* 200 (/ x y)) 200))
(* -200 y)
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(/ -1 y)
(- (* -1 (/ x (pow y 2))) (/ 1 y))
(- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 x)
(/ (+ 1 (/ y x)) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x)
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x))
(/ 1 x)
(+ (/ 1 x) (/ y (pow x 2)))
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))
(/ -1 y)
(/ (- (* -1 (/ x y)) 1) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y)
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y)
(/ -1 y)
(* -1 (/ (+ 1 (/ x y)) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Outputs
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(- (* 200 x) (* 200 y))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(- (* 200 x) (* 200 y))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(- (* 200 x) (* 200 y))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* 200 y)
(*.f64 y #s(literal 200 binary64))
(* 200 y)
(*.f64 y #s(literal 200 binary64))
(* 200 y)
(*.f64 y #s(literal 200 binary64))
(* 200 y)
(*.f64 y #s(literal 200 binary64))
(* 200 y)
(*.f64 y #s(literal 200 binary64))
(* 200 y)
(*.f64 y #s(literal 200 binary64))
(* 200 y)
(*.f64 y #s(literal 200 binary64))
(* 200 y)
(*.f64 y #s(literal 200 binary64))
(* 200 y)
(*.f64 y #s(literal 200 binary64))
(* 200 y)
(*.f64 y #s(literal 200 binary64))
(* 200 y)
(*.f64 y #s(literal 200 binary64))
(* 200 y)
(*.f64 y #s(literal 200 binary64))
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* x (+ 200 (* -200 (/ y x))))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* -1 (* x (- (* 200 (/ y x)) 200)))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(+ (* -200 y) (* 200 x))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* y (- (* 200 (/ x y)) 200))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(* -1 (* y (+ 200 (* -200 (/ x y)))))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (* -1 (/ x (pow y 2))) (/ 1 y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) y)) y)
(- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(+.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 y (.f64 y y))) (/.f64 x (.f64 y (.f64 y (.f64 y y))))) (*.f64 x x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ y x)) x)
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64))) x)) x)
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (.f64 y (.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ y x)) 1) x))
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (.f64 y (.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64)))) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (/ 1 x) (/ y (pow x 2)))
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(+ (* y (+ (/ 1 (pow x 2)) (/ y (pow x 3)))) (/ 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64))) x)) x)
(+ (* y (+ (* y (+ (/ 1 (pow x 3)) (/ y (pow x 4)))) (/ 1 (pow x 2)))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (.f64 y (+.f64 (/.f64 y x) #s(literal 1 binary64))) (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) (pow.f64 x #s(literal 4 binary64)))))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (- (* -1 (/ x y)) 1) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(/ (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1 (/ x y))) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) y)) y)
(/ (- (* -1 (/ (pow x 3) (pow y 3))) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2))))) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 (.f64 x (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))) y)) y)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ x y)) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y))) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y))) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 (.f64 x (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))) y)) y)) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

eval124.0ms (2.7%)

Compiler: Compiled 15980 to 1227 computations (92.3% saved)

prune63.0ms (1.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	747	2	749
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	748	6	754

Accuracy

100.0%

Counts

754 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.3%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) x))
▶	54.0%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) y))
✓	100.0%	(-.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal 200 binary64)))
✓	100.0%	(*.f64 #s(literal 200 binary64) (-.f64 x y))
✓	47.5%	(*.f64 #s(literal 200 binary64) x)
✓	54.3%	(*.f64 #s(literal -200 binary64) y)

Compiler

Compiled 40 to 31 computations (22.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	128	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) y))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	17	17
2	19	17
0	19	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 200 (/ -1 y))
200
(/ -1 y)
-1
y
(/ 200 (/ 1 x))
200
(/ 1 x)
1
x

Outputs
(/ 200 (/ -1 y))
(*.f64 y #s(literal -200 binary64))
200
#s(literal 200 binary64)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
-1
#s(literal -1 binary64)
y
(/ 200 (/ 1 x))
(*.f64 #s(literal 200 binary64) x)
200
#s(literal 200 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x

localize76.0ms (1.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.6%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	99.5%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) y))

Results

33.0ms	21×	5	exit
32.0ms	235×	0	valid

Compiler

Compiled 25 to 10 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 11.0ms (80.6% of total)

backward-pass: 2.0ms (14.7% of total)

const: 1.0ms (7.3% of total)

series2.0ms (0%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/ 200 (/ -1 y))>
#<alt (/ -1 y)>
#<alt (/ 200 (/ 1 x))>
#<alt (/ 1 x)>

Outputs
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (* 200 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ 1 x)
0.0ms	y	@	0	(/ -1 y)
0.0ms	y	@	inf	(/ -1 y)
0.0ms	x	@	0	(/ 1 x)
0.0ms	y	@	0	(/ 200 (/ -1 y))

rewrite160.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`-lowering-.f32`
978×	`-lowering-.f64`
688×	`/-lowering-/.f32`
688×	`/-lowering-/.f64`
290×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	44	11
2	177	11
3	590	10
0	2998	10

Stop Event

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

Counts

4 → 210

Calls

Call 1

Inputs
(/ 200 (/ -1 y))
(/ -1 y)
(/ 200 (/ 1 x))
(/ 1 x)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/200 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1/200 binary64) y))))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/200 binary64)))
(neg.f64 (/.f64 y #s(literal 1/200 binary64)))
(/.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/200 binary64) y))
(/.f64 y #s(literal 1/200 binary64))
(/.f64 y #s(literal -1/200 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/200 binary64) y))
(/.f64 #s(literal -200 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y #s(literal 1/200 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 y #s(literal 1/200 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 1/200 binary64) (.f64 y y)))
(/.f64 (.f64 y y) (.f64 #s(literal 1/200 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y #s(literal 1/200 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (/.f64 y #s(literal 1/200 binary64)) (/.f64 y #s(literal 1/200 binary64))) (.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/200 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/200 binary64)) (/.f64 y #s(literal 1/200 binary64)))) (/.f64 y #s(literal 1/200 binary64)))
(/.f64 (.f64 #s(literal 200 binary64) (.f64 y (.f64 y y))) (.f64 y y))
(/.f64 (.f64 #s(literal 200 binary64) (.f64 y y)) y)
(/.f64 (.f64 #s(literal -200 binary64) (.f64 y (.f64 y y))) (.f64 y y))
(/.f64 (.f64 #s(literal -200 binary64) (.f64 y y)) y)
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 200 binary64)) (.f64 y y))
(/.f64 (.f64 (.f64 y y) #s(literal 200 binary64)) y)
(/.f64 (/.f64 #s(literal 200 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -200 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1/200 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 y #s(literal 1/200 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/200 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/200 binary64) y) (/.f64 #s(literal 1/200 binary64) y)) #s(literal -1/2 binary64))
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simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	132
1	15	132
0	15	132

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(* 200 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)

Outputs
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(* 200 x)
(*.f64 #s(literal 200 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

eval46.0ms (1%)

Compiler: Compiled 2090 to 455 computations (78.2% saved)

prune68.0ms (1.5%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	256	2	258
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	256	8	264

Accuracy

100.0%

Counts

264 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(/.f64 y #s(literal -1/200 binary64))
▶	2.5%	(/.f64 x #s(literal -1/200 binary64))
✓	47.3%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) x))
✓	54.0%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) y))
✓	100.0%	(-.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal 200 binary64)))
✓	100.0%	(*.f64 #s(literal 200 binary64) (-.f64 x y))
✓	47.5%	(*.f64 #s(literal 200 binary64) x)
✓	54.3%	(*.f64 #s(literal -200 binary64) y)

Compiler

Compiled 50 to 39 computations (22% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y #s(literal -1/200 binary64))
✓	cost-diff	0	(/.f64 x #s(literal -1/200 binary64))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
0	5	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x -1/200)
x
-1/200
(/ y -1/200)
y
-1/200

Outputs
(/ x -1/200)
(/.f64 x #s(literal -1/200 binary64))
x
-1/200
#s(literal -1/200 binary64)
(/ y -1/200)
(/.f64 y #s(literal -1/200 binary64))
y
-1/200
#s(literal -1/200 binary64)

localize49.0ms (1.1%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 y #s(literal -1/200 binary64))
✓	accuracy	99.8%	(/.f64 x #s(literal -1/200 binary64))

Results

24.0ms	235×	0	valid
18.0ms	21×	5	exit

Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions

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

...c/correct-round.rkt:119:19: 9.0ms (52% of total)

ival-div: 6.0ms (34.7% of total)

backward-pass: 1.0ms (5.8% of total)

const: 0.0ms (0% of total)

series1.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/ x -1/200)>
#<alt (/ y -1/200)>

Outputs
#<alt (* -200 x)>
#<alt (* -200 x)>
#<alt (* -200 x)>
#<alt (* -200 x)>
#<alt (* -200 x)>
#<alt (* -200 x)>
#<alt (* -200 x)>
#<alt (* -200 x)>
#<alt (* -200 x)>
#<alt (* -200 x)>
#<alt (* -200 x)>
#<alt (* -200 x)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>
#<alt (* -200 y)>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ x -1/200)
0.0ms	x	@	-inf	(/ x -1/200)
0.0ms	x	@	inf	(/ x -1/200)
0.0ms	y	@	-inf	(/ y -1/200)
0.0ms	y	@	inf	(/ y -1/200)

rewrite322.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	20	6
2	65	6
3	260	6
4	1216	6
0	9080	6

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 498

Calls

Call 1

Inputs
(/ x -1/200)
(/ y -1/200)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1/200 binary64)))
(+.f64 (/.f64 x #s(literal -1/200 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (/.f64 x #s(literal -1/200 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal -1/200 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x #s(literal -1/200 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -1/200 binary64) x) (/.f64 x #s(literal -1/200 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal -1/200 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1/200 binary64) x)) #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 #s(literal -1/200 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1/200 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1/200 binary64) (.f64 x x))) (/.f64 x #s(literal -1/200 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/200 binary64) x)) (/.f64 x #s(literal -1/200 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 40000 binary64))) (/.f64 x #s(literal -1/200 binary64)))
(neg.f64 (/.f64 x #s(literal -1/200 binary64)))
(/.f64 x #s(literal -1/200 binary64))
(/.f64 x #s(literal 1/200 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/200 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/200 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/200 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 40000 binary64)) (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal -1/200 binary64)) (.f64 (.f64 x x) #s(literal 40000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 200 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 200 binary64))))
(/.f64 #s(literal -200 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -200 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/200 binary64) x))
(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x #s(literal -1/200 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 x #s(literal -1/200 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/200 binary64) (.f64 x x)))
(/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal -1/200 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/200 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal -1/200 binary64) (.f64 x x)))
(/.f64 (.f64 x x) (.f64 #s(literal 1/200 binary64) x))
(/.f64 (.f64 x x) (.f64 #s(literal -1/200 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal 1/200 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 #s(literal -1/200 binary64) x))
(/.f64 (sqrt.f64 (/.f64 x #s(literal -1/200 binary64))) (sqrt.f64 (/.f64 #s(literal -1/200 binary64) x)))
(/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8000000 binary64)) (.f64 (.f64 x x) #s(literal 40000 binary64)))
(/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8000000 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 40000 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal 40000 binary64)) (/.f64 x #s(literal -1/200 binary64)))
(/.f64 (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) x)
(/.f64 (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 200 binary64)) (.f64 x x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 200 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 200 binary64)) x)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 200 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (.f64 x x))
(/.f64 (neg.f64 (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (neg.f64 (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))) x)
(/.f64 (neg.f64 (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 200 binary64))) (.f64 x x))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 200 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 200 binary64))) x)
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 200 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/200 binary64)) x)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -1/200 binary64)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 1/200 binary64)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/200 binary64)) x)
(/.f64 (.f64 (.f64 x x) #s(literal 200 binary64)) x)
(/.f64 (.f64 (.f64 x x) #s(literal 200 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 200 binary64)) (.f64 x x))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 200 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (.f64 #s(literal 200 binary64) (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (.f64 #s(literal 200 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (.f64 #s(literal 200 binary64) (.f64 x x)) x)
(/.f64 (.f64 #s(literal 200 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 #s(literal -200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (.f64 #s(literal -200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (.f64 #s(literal -200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) x)
(/.f64 (.f64 #s(literal -200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (*.f64 x x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) x)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 200 binary64))) (*.f64 x x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 200 binary64))) x)
(/.f64 (.f64 #s(literal -200 binary64) (.f64 x (.f64 x x))) (.f64 x x))
(/.f64 (.f64 #s(literal -200 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (.f64 #s(literal -200 binary64) (.f64 x x)) x)
(/.f64 (.f64 #s(literal -200 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))) (*.f64 x x))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) x)
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 200 binary64))) (*.f64 x x))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 200 binary64))) x)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -200 binary64)) (.f64 x x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -200 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -200 binary64)) x)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -200 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -200 binary64)) (.f64 x x))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -200 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (.f64 (.f64 x x) #s(literal -200 binary64)) x)
(/.f64 (.f64 (.f64 x x) #s(literal -200 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (.f64 (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal 1 binary64)) x)
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 200 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 200 binary64)) #s(literal 1 binary64)) x)
(/.f64 (.f64 (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (.f64 (.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64)) x)
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 200 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 200 binary64)) #s(literal -1 binary64)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/200 binary64) (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/200 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 #s(literal -200 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -200 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -200 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/200 binary64) (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/200 binary64) (*.f64 x x))) x)
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(.f64 (pow.f64 #s(literal -1/200 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(literal -1/200 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -200 binary64)))
(.f64 (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal -1/200 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64))))
(.f64 (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 200 binary64)))
(.f64 (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal -1/200 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 #s(literal 1/200 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64))))
(.f64 (pow.f64 #s(literal 1/200 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal 1/200 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)) (.f64 (pow.f64 #s(literal 1/200 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 y #s(literal -1/200 binary64)))
(.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 (/.f64 #s(literal -1/200 binary64) y) (+.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal 40000 binary64))))
(.f64 (.f64 (*.f64 y y) #s(literal 40000 binary64)) (/.f64 #s(literal -1/200 binary64) y))
(.f64 (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/4 binary64)) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (.f64 #s(literal 200 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (.f64 #s(literal 200 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) y))
(.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 200 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) #s(literal 200 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 #s(literal -1/200 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (pow.f64 #s(literal 1/200 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 y #s(literal -1/200 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/200 binary64) y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1/200 binary64) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1/200 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (pow.f64 (/.f64 #s(literal -1/200 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 1/200 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1/200 binary64) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (pow.f64 (/.f64 #s(literal 1/200 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 200 binary64) (pow.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 200 binary64) y) (/.f64 y (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 y y))
(*.f64 (/.f64 #s(literal 200 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (pow.f64 y #s(literal 1/2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 200 binary64) (.f64 y y)))
(.f64 (.f64 (pow.f64 #s(literal -1/200 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1/200 binary64) #s(literal -1/2 binary64))) y)
(.f64 (.f64 (pow.f64 #s(literal 1/200 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/200 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) y))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 y #s(literal -1/200 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -200 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1/200 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 #s(literal -1/200 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1/200 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/200 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal -200 binary64) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(.f64 (.f64 #s(literal -200 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 #s(literal 200 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal -1/200 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 #s(literal -1/200 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal 1/200 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/200 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/4 binary64)))
(.f64 (/.f64 (.f64 #s(literal 200 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) #s(literal 200 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1/200 binary64) y))) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/200 binary64) y) (/.f64 y #s(literal -1/200 binary64)))) (/.f64 #s(literal -1/200 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)))
(.f64 (/.f64 (neg.f64 (.f64 #s(literal 200 binary64) (.f64 y (.f64 y y)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))
(.f64 (/.f64 (neg.f64 (.f64 #s(literal 200 binary64) (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y))
(.f64 (/.f64 (neg.f64 (.f64 #s(literal 200 binary64) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))) (/.f64 y (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (.f64 #s(literal 200 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (/.f64 y (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (.f64 #s(literal 200 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 0 binary64) y))
(.f64 (/.f64 (.f64 #s(literal 200 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (.f64 y (.f64 y y))) (*.f64 y y))
(.f64 (/.f64 (.f64 #s(literal 200 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (*.f64 y y)) y)
(.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 200 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 y (.f64 y (.f64 y y))))
(.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 200 binary64))) (.f64 y (.f64 y (.f64 y y)))) (.f64 y y))
(.f64 (/.f64 (neg.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 200 binary64))) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y (*.f64 y y))))) (/.f64 y (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) #s(literal 200 binary64)) (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y)))) (/.f64 y (/.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) #s(literal 200 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 0 binary64) y))
(.f64 (/.f64 (.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) #s(literal 200 binary64)) (.f64 y (.f64 y y))) (*.f64 y y))
(.f64 (/.f64 (.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) #s(literal 200 binary64)) (*.f64 y y)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/200 binary64) y) (/.f64 y #s(literal -1/200 binary64)))) (/.f64 #s(literal -1/200 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal -1/200 binary64) y) #s(literal -1/2 binary64)))

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(* -200 x)
(* -200 x)
(* -200 x)
(* -200 x)
(* -200 x)
(* -200 x)
(* -200 x)
(* -200 x)
(* -200 x)
(* -200 x)
(* -200 x)
(* -200 x)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)
(* -200 y)

Outputs
(* -200 x)
(*.f64 #s(literal -200 binary64) x)
(* -200 x)
(*.f64 #s(literal -200 binary64) x)
(* -200 x)
(*.f64 #s(literal -200 binary64) x)
(* -200 x)
(*.f64 #s(literal -200 binary64) x)
(* -200 x)
(*.f64 #s(literal -200 binary64) x)
(* -200 x)
(*.f64 #s(literal -200 binary64) x)
(* -200 x)
(*.f64 #s(literal -200 binary64) x)
(* -200 x)
(*.f64 #s(literal -200 binary64) x)
(* -200 x)
(*.f64 #s(literal -200 binary64) x)
(* -200 x)
(*.f64 #s(literal -200 binary64) x)
(* -200 x)
(*.f64 #s(literal -200 binary64) x)
(* -200 x)
(*.f64 #s(literal -200 binary64) x)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)
(* -200 y)
(*.f64 #s(literal -200 binary64) y)

eval57.0ms (1.2%)

Compiler: Compiled 5832 to 918 computations (84.3% saved)

prune83.0ms (1.8%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	522	0	522
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	522	8	530

Accuracy

100.0%

Counts

530 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.2%	(/.f64 y #s(literal -1/200 binary64))
✓	2.5%	(/.f64 x #s(literal -1/200 binary64))
✓	47.3%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) x))
✓	54.0%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) y))
✓	100.0%	(-.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal 200 binary64)))
✓	100.0%	(*.f64 #s(literal 200 binary64) (-.f64 x y))
✓	47.5%	(*.f64 #s(literal 200 binary64) x)
✓	54.3%	(*.f64 #s(literal -200 binary64) y)

Compiler

Compiled 93 to 60 computations (35.5% saved)

regimes15.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -200 binary64) y)
(*.f64 #s(literal 200 binary64) x)
(/.f64 x #s(literal -1/200 binary64))
(/.f64 y #s(literal -1/200 binary64))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(/.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) x))
(-.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal 200 binary64)))
(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))

Outputs
(-.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal 200 binary64)))

Calls

4 calls:

5.0ms	(-.f64 x y)
3.0ms	(*.f64 #s(literal 200 binary64) (-.f64 x y))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 #s(literal 200 binary64) (-.f64 x y))`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes14.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -200 binary64) y)
(*.f64 #s(literal 200 binary64) x)
(/.f64 x #s(literal -1/200 binary64))
(/.f64 y #s(literal -1/200 binary64))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(/.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) x))

Outputs
(*.f64 #s(literal 200 binary64) (-.f64 x y))

Calls

4 calls:

5.0ms	y
3.0ms	(*.f64 #s(literal 200 binary64) (-.f64 x y))
3.0ms	(-.f64 x y)
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 #s(literal 200 binary64) (-.f64 x y))`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal -200 binary64) y)
(*.f64 #s(literal 200 binary64) x)
(/.f64 x #s(literal -1/200 binary64))
(/.f64 y #s(literal -1/200 binary64))

Outputs
(*.f64 #s(literal 200 binary64) x)
(*.f64 #s(literal -200 binary64) y)
(*.f64 #s(literal 200 binary64) x)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
78.6%	3	`x`
77.6%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal -200 binary64) y)

Outputs
(*.f64 #s(literal -200 binary64) y)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
54.3%	1	`y`
54.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch46.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	7.812051619316976e+73	1.7920371636487829e+90
12.0ms	-1.8791960561566012e+61	-5.724356247481417e+54

Results

34.0ms	301×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 240 to 199 computations (17.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (41.6% of total)

ival-sub: 2.0ms (41.6% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	30
1	29	30
2	42	30
3	48	30
4	52	30
5	53	30

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal 200 binary64)))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(if (<=.f64 x #s(literal -47000000000000000617161096727577289417980467208733589504 binary64)) (.f64 #s(literal 200 binary64) x) (if (<=.f64 x #s(literal 12500000000000000385083290387065711347128150500955418293261218008676748161416429568 binary64)) (.f64 #s(literal -200 binary64) y) (*.f64 #s(literal 200 binary64) x)))
(*.f64 #s(literal -200 binary64) y)

Outputs
(-.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal 200 binary64)))
(-.f64 (.f64 #s(literal 200 binary64) x) (.f64 #s(literal 200 binary64) y))
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(if (<=.f64 x #s(literal -47000000000000000617161096727577289417980467208733589504 binary64)) (.f64 #s(literal 200 binary64) x) (if (<=.f64 x #s(literal 12500000000000000385083290387065711347128150500955418293261218008676748161416429568 binary64)) (.f64 #s(literal -200 binary64) y) (*.f64 #s(literal 200 binary64) x)))
(if (<=.f64 x #s(literal -47000000000000000617161096727577289417980467208733589504 binary64)) (.f64 #s(literal 200 binary64) x) (if (<=.f64 x #s(literal 12500000000000000385083290387065711347128150500955418293261218008676748161416429568 binary64)) (.f64 y #s(literal -200 binary64)) (*.f64 #s(literal 200 binary64) x)))
(*.f64 #s(literal -200 binary64) y)
(*.f64 y #s(literal -200 binary64))

soundness703.0ms (15.1%)

Rules

2520×	`/-lowering-/.f32`
2520×	`/-lowering-/.f64`
2378×	`-lowering-.f32`
2378×	`-lowering-.f64`
2000×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	189
1	123	189
2	351	189
3	1003	171
4	2483	171
5	5144	171
0	8069	171
0	5	8
1	21	8
2	161	8
3	1674	8
0	8522	8

Stop Event

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

Compiler

Compiled 58 to 34 computations (41.4% saved)

preprocess39.0ms (0.8%)

Compiler: Compiled 82 to 42 computations (48.8% saved)

analyze0.0ms (0%)

sample820.0ms (17.6%)

preprocess59.0ms (1.3%)

explain103.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.7%)

localize26.0ms (0.6%)

series2.0ms (0.1%)

rewrite672.0ms (14.5%)

simplify174.0ms (3.7%)

eval59.0ms (1.3%)

prune56.0ms (1.2%)

simplify41.0ms (0.9%)

localize70.0ms (1.5%)

series16.0ms (0.3%)

rewrite376.0ms (8.1%)

simplify233.0ms (5%)

eval124.0ms (2.7%)

prune63.0ms (1.3%)

simplify5.0ms (0.1%)

localize76.0ms (1.6%)

series2.0ms (0%)

rewrite160.0ms (3.4%)

simplify9.0ms (0.2%)

eval46.0ms (1%)

prune68.0ms (1.5%)

simplify4.0ms (0.1%)

localize49.0ms (1.1%)

series1.0ms (0%)

rewrite322.0ms (6.9%)

simplify10.0ms (0.2%)

eval57.0ms (1.2%)

prune83.0ms (1.8%)

regimes15.0ms (0.3%)

regimes14.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch46.0ms (1%)

simplify9.0ms (0.2%)

soundness703.0ms (15.1%)

preprocess39.0ms (0.8%)

end0.0ms (0%)

Profiling