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)

sample658.0ms (12.6%)

Results

452.0ms	8099×	0	valid
6.0ms	42×	3	valid
6.0ms	72×	1	valid
5.0ms	43×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-sub: 114.0ms (50% of total)

ival-mult: 100.0ms (43.8% of total)

const: 10.0ms (4.4% of total)

backward-pass: 5.0ms (2.2% of total)

Bogosity

preprocess56.0ms (1.1%)

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))

explain459.0ms (8.8%)

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

440.0ms	502×	0	valid
1.0ms	6×	1	valid
0.0ms	2×	3	valid
0.0ms	2×	2	valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-mult: 4.0ms (47.1% of total)

ival-sub: 3.0ms (35.3% of total)

const: 1.0ms (11.8% 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)

simplify29.0ms (0.6%)

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

localize25.0ms (0.5%)

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

18.0ms	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: 8.0ms

ival-sub: 6.0ms (74.2% of total)

ival-mult: 2.0ms (24.7% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

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)

rewrite392.0ms (7.5%)

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))))

simplify118.0ms (2.3%)

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)

eval48.0ms (0.9%)

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

prune59.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	292	5	297
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	292	6	298

Accuracy

100.0%

Counts

298 → 6

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)))
▶	50.9%	(.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal 200 binary64) (+.f64 x y)))
✓	100.0%	(*.f64 #s(literal 200 binary64) (-.f64 x y))
▶	52.6%	(*.f64 #s(literal 200 binary64) x)
▶	49.3%	(*.f64 #s(literal -200 binary64) y)

Compiler

Compiled 93 to 65 computations (30.1% saved)

simplify215.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(-.f64 (.f64 x x) (.f64 y y))
✓	cost-diff	512	(.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal 200 binary64) (+.f64 x y)))
✓	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 #s(literal 200 binary64) x)
✓	cost-diff	0	(*.f64 #s(literal -200 binary64) 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)))

Rules

2388×	`-lowering-.f32`
2388×	`-lowering-.f64`
1526×	`fnmsub-define`
1298×	`--lowering--.f32`
1298×	`--lowering--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	47	65
2	87	65
3	255	65
4	897	65
5	3188	65
6	6788	65
0	8102	65

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize135.0ms (2.6%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 #s(literal 200 binary64) (+.f64 x y))
✓	accuracy	94.1%	(-.f64 (.f64 x x) (.f64 y y))
✓	accuracy	51.8%	(.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal 200 binary64) (+.f64 x y)))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 x y))
✓	accuracy	99.6%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
✓	accuracy	100.0%	(*.f64 #s(literal 200 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal -200 binary64) 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)))

Results

106.0ms	247×	0	valid
3.0ms	4×	3	valid
1.0ms	2×	2	valid
1.0ms	3×	1	valid

Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 45.0ms (74% of total)

ival-div: 8.0ms (13.2% of total)

ival-sub: 4.0ms (6.6% of total)

ival-add: 2.0ms (3.3% of total)

const: 1.0ms (1.6% of total)

backward-pass: 1.0ms (1.6% of total)

series15.0ms (0.3%)

Counts

12 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ 1 (- x y))
1.0ms	y	@	inf	(* (- (* x x) (* y y)) (/ 200 (+ x y)))
1.0ms	y	@	0	(* -200 y)
1.0ms	x	@	0	(* (- (* x x) (* y y)) (/ 200 (+ x y)))
0.0ms	x	@	inf	(* (- (* x x) (* y y)) (/ 200 (+ x y)))

rewrite476.0ms (9.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4028×	`-lowering-.f32`
4028×	`-lowering-.f64`
3264×	`/-lowering-/.f32`
3264×	`/-lowering-/.f64`
2424×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	117	45
2	921	45
0	8781	45

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1277

Calls

Call 1

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

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

simplify252.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

3652×	`-lowering-.f32`
3652×	`-lowering-.f64`
2938×	`/-lowering-/.f32`
2938×	`/-lowering-/.f64`
1658×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	1604
1	881	1427
2	2482	1360
0	8556	1360

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval193.0ms (3.7%)

Compiler: Compiled 42771 to 2174 computations (94.9% saved)

prune130.0ms (2.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1516	3	1519
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	1518	7	1525

Accuracy

100.0%

Counts

1525 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.4%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) x))
▶	49.1%	(/.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)))
▶	87.8%	(.f64 x (+.f64 #s(literal 200 binary64) (/.f64 (.f64 #s(literal -200 binary64) y) x)))
✓	100.0%	(*.f64 #s(literal 200 binary64) (-.f64 x y))
✓	52.6%	(*.f64 #s(literal 200 binary64) x)
✓	49.3%	(*.f64 #s(literal -200 binary64) y)

Compiler

Compiled 51 to 39 computations (23.5% saved)

simplify228.0ms (4.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 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))
✓	cost-diff	0	(*.f64 #s(literal -200 binary64) y)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -200 binary64) y) x)
✓	cost-diff	0	(+.f64 #s(literal 200 binary64) (/.f64 (*.f64 #s(literal -200 binary64) y) x))
✓	cost-diff	256	(.f64 x (+.f64 #s(literal 200 binary64) (/.f64 (.f64 #s(literal -200 binary64) y) x)))

Rules

3754×	`--lowering--.f32`
3754×	`--lowering--.f64`
3504×	`-lowering-.f32`
3504×	`-lowering-.f64`
2852×	`/-lowering-/.f32`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	30	43
2	49	43
3	82	41
4	139	41
5	320	41
6	972	41
7	2888	40
8	5270	40
0	8339	40

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize70.0ms (1.3%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) y)
✓	accuracy	99.6%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal -200 binary64) y)
✓	accuracy	100.0%	(+.f64 #s(literal 200 binary64) (/.f64 (*.f64 #s(literal -200 binary64) y) x))
✓	accuracy	99.7%	(/.f64 (*.f64 #s(literal -200 binary64) y) x)
✓	accuracy	89.2%	(.f64 x (+.f64 #s(literal 200 binary64) (/.f64 (.f64 #s(literal -200 binary64) y) x)))

Results

35.0ms	241×	0	valid
13.0ms	15×	5	exit

Compiler

Compiled 53 to 15 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 15.0ms (62.8% of total)

ival-mult: 5.0ms (20.9% of total)

backward-pass: 2.0ms (8.4% of total)

ival-add: 2.0ms (8.4% of total)

const: 1.0ms (4.2% of total)

series6.0ms (0.1%)

Counts

8 → 132

Calls

Call 1

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

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

33 calls:

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

rewrite233.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3058×	`-lowering-.f32`
3058×	`-lowering-.f64`
2264×	`/-lowering-/.f32`
2264×	`/-lowering-/.f64`
1734×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	77	33
2	546	31
3	5540	31
0	8195	31

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 419

Calls

Call 1

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

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

simplify193.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1924×	`fnmsub-define`
1812×	`fmsub-define`
1716×	`fma-lowering-fma.f32`
1716×	`fma-lowering-fma.f64`
1556×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	558
1	111	540
2	298	540
3	731	540
4	1781	522
5	4845	522
0	8201	522

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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

eval62.0ms (1.2%)

Compiler: Compiled 7299 to 1109 computations (84.8% saved)

prune56.0ms (1.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	549	2	551
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	551	7	558

Accuracy

100.0%

Counts

558 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.7%	(/.f64 (*.f64 x #s(literal -200 binary64)) (/.f64 x y))
✓	52.4%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) x))
✓	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))
✓	52.6%	(*.f64 #s(literal 200 binary64) x)
✓	49.3%	(*.f64 #s(literal -200 binary64) y)
▶	49.3%	(neg.f64 (/.f64 y #s(literal 1/200 binary64)))

Compiler

Compiled 48 to 36 computations (25% saved)

simplify182.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 x #s(literal -200 binary64))
✓	cost-diff	256	(/.f64 (*.f64 x #s(literal -200 binary64)) (/.f64 x y))
✓	cost-diff	0	(/.f64 y #s(literal 1/200 binary64))
✓	cost-diff	64	(neg.f64 (/.f64 y #s(literal 1/200 binary64)))

Rules

2886×	`-lowering-.f32`
2886×	`-lowering-.f64`
1920×	`/-lowering-/.f32`
1920×	`/-lowering-/.f64`
1824×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	23	20
2	38	20
3	66	20
4	131	20
5	418	20
6	2233	20
7	5491	20
0	8113	20

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize66.0ms (1.3%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(*.f64 x #s(literal -200 binary64))
✓	accuracy	75.5%	(/.f64 (*.f64 x #s(literal -200 binary64)) (/.f64 x y))
✓	accuracy	100.0%	(neg.f64 (/.f64 y #s(literal 1/200 binary64)))
✓	accuracy	99.8%	(/.f64 y #s(literal 1/200 binary64))

Results

33.0ms	249×	0	valid
6.0ms	7×	5	exit

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 15.0ms (60.4% of total)

...c/correct-round.rkt:119:19: 6.0ms (24.1% of total)

ival-mult: 2.0ms (8% of total)

ival-neg: 1.0ms (4% of total)

backward-pass: 1.0ms (4% of total)

const: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts

5 → 84

Calls

Call 1

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

Calls

21 calls:

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

rewrite187.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2184×	`-lowering-.f32`
2184×	`-lowering-.f64`
1694×	`/-lowering-/.f32`
1694×	`/-lowering-/.f64`
1134×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	43	15
2	220	15
3	1459	15
4	7390	15
0	8117	15

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 650

Calls

Call 1

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

Outputs
(+.f64 (/.f64 y #s(literal 1/200 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/200 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 0 binary64)) (/.f64 y #s(literal 1/200 binary64)))
(exp.f64 (log.f64 (/.f64 y #s(literal 1/200 binary64))))
(-.f64 (/.f64 y #s(literal 1/200 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 1/200 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/200 binary64)))) (/.f64 y #s(literal 1/200 binary64)))
(fma.f64 y #s(literal -200 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal 200 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal 1/200 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal 1/200 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal -200 binary64) (/.f64 x y)) #s(literal 0 binary64))
(fma.f64 #s(literal -200 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal -200 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -200 binary64)) (/.f64 y x) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -200 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 200 binary64)) (/.f64 y x) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 200 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -200 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 200 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -200 binary64) (/.f64 x y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 y x) (*.f64 x #s(literal -200 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 200 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal 200 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal 1/200 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 x #s(literal 200 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -200 binary64) x) (*.f64 y x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -200 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y x) (/.f64 #s(literal -200 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 y x) (/.f64 #s(literal 200 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y y) #s(literal 1/40000 binary64)) (/.f64 #s(literal 1/200 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal -200 binary64) (.f64 y x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 200 binary64) x) (*.f64 y x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 200 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (.f64 #s(literal -200 binary64) (.f64 y x)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -200 binary64) (.f64 y x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) #s(literal 1/40000 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -200 binary64) (/.f64 x y)) x #s(literal 0 binary64))
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -200 binary64) x) #s(literal 0 binary64))
(fma.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 -1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (/.f64 y #s(literal 1/200 binary64)))
(/.f64 y #s(literal 1/200 binary64))
(/.f64 y #s(literal -1/200 binary64))
(/.f64 y (*.f64 (/.f64 #s(literal -1/200 binary64) x) x))
(/.f64 y (*.f64 (/.f64 y #s(literal 1/200 binary64)) (/.f64 #s(literal 1/200 binary64) (/.f64 y #s(literal 1/200 binary64)))))
(/.f64 y (*.f64 (/.f64 y #s(literal 1/200 binary64)) (/.f64 #s(literal -1/200 binary64) (/.f64 y #s(literal 1/200 binary64)))))
(/.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 #s(literal 1/200 binary64)) (*.f64 (/.f64 y #s(literal 1/200 binary64)) (/.f64 #s(literal 1/200 binary64) y)))
(/.f64 x (/.f64 x (/.f64 y #s(literal 1/200 binary64))))
(/.f64 x (*.f64 #s(literal 1/200 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) y))
(/.f64 (*.f64 x #s(literal -200 binary64)) (/.f64 x y))
(/.f64 (*.f64 x #s(literal -200 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 (/.f64 x y) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal 1/200 binary64) y)))
(/.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/200 binary64) y)))
(/.f64 (*.f64 x #s(literal 200 binary64)) (/.f64 x y))
(/.f64 (*.f64 x #s(literal 200 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal 1/200 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/200 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/200 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/200 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y #s(literal 1/200 binary64)) (/.f64 #s(literal 1/200 binary64) (/.f64 y #s(literal 1/200 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y #s(literal 1/200 binary64)) (/.f64 #s(literal -1/200 binary64) (/.f64 y #s(literal 1/200 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x (/.f64 y #s(literal 1/200 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal -1/200 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/200 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/200 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 y x) (/.f64 #s(literal -1/200 binary64) x))
(/.f64 (/.f64 y x) (/.f64 #s(literal 1/200 binary64) x))
(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 200 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/200 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 #s(literal -1/200 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 #s(literal 1/200 binary64) x))
(/.f64 (/.f64 #s(literal -200 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (/.f64 #s(literal -200 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(/.f64 (*.f64 y x) (/.f64 x #s(literal -200 binary64)))
(/.f64 (*.f64 y x) (/.f64 x #s(literal 200 binary64)))
(/.f64 (.f64 y x) (.f64 #s(literal 1/200 binary64) x))
(/.f64 (/.f64 (*.f64 y y) #s(literal 1/40000 binary64)) (/.f64 y #s(literal 1/200 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/200 binary64) (*.f64 y x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (/.f64 x y) (/.f64 #s(literal -1/200 binary64) (.f64 y x))))
(/.f64 (/.f64 #s(literal 200 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (/.f64 #s(literal 200 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1/200 binary64) (*.f64 y x)))
(/.f64 (.f64 #s(literal -200 binary64) (.f64 y x)) x)
(/.f64 (.f64 #s(literal -200 binary64) (.f64 y x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 y (.f64 y y)) (.f64 (/.f64 (.f64 y y) #s(literal 1/40000 binary64)) #s(literal 1/8000000 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal -1/200 binary64) (.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 1/200 binary64) (.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 (/.f64 (.f64 y y) #s(literal 1/40000 binary64)) #s(literal -1/8000000 binary64)))
(/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (/.f64 (*.f64 y y) #s(literal 1/40000 binary64)))
(/.f64 (.f64 y y) (.f64 (/.f64 y #s(literal 1/200 binary64)) #s(literal 1/40000 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 x #s(literal -200 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) (.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) (.f64 #s(literal -1/200 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 #s(literal 64000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (/.f64 (.f64 y y) #s(literal 1/40000 binary64)) (/.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))))
(/.f64 (.f64 #s(literal 64000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (/.f64 y #s(literal 1/200 binary64)) (.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1600000000 binary64))))
(/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1600000000 binary64)) (/.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))
(/.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (.f64 #s(literal 64000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (/.f64 (.f64 y y) #s(literal 1/40000 binary64)) (.f64 #s(literal 64000000000000 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8000000 binary64) (.f64 x (.f64 x x)))) (.f64 (/.f64 x y) (.f64 (.f64 x x) #s(literal 40000 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -8000000 binary64) (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (.f64 (.f64 x x) #s(literal 40000 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 40000 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (.f64 x #s(literal -200 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 40000 binary64))) (.f64 (/.f64 x y) (.f64 x #s(literal -200 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 #s(literal -1/200 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 #s(literal 1/200 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 y #s(literal 1/200 binary64)) #s(literal -1/40000 binary64)))
(/.f64 (/.f64 y (/.f64 #s(literal 1/200 binary64) y)) (*.f64 (/.f64 y #s(literal 1/200 binary64)) #s(literal 1/200 binary64)))
(/.f64 (/.f64 y (/.f64 #s(literal 1/200 binary64) y)) (*.f64 (/.f64 y #s(literal 1/200 binary64)) #s(literal -1/200 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 y y) #s(literal 1/40000 binary64)) (/.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1600000000 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y)) (/.f64 x (/.f64 y #s(literal 1/200 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -200 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 x #s(literal -200 binary64)))) (/.f64 (/.f64 x y) (/.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (.f64 x #s(literal 200 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) y))) (/.f64 x (/.f64 y #s(literal 1/200 binary64))))
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(*.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)))
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simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	252
1	11	252
0	11	252

Stop Event

1×	iter limit
1×	saturated

Counts

84 → 84

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 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 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 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)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)

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 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)
(*.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 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)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

eval82.0ms (1.6%)

Compiler: Compiled 7611 to 761 computations (90% saved)

prune71.0ms (1.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	733	1	734
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	734	7	741

Accuracy

100.0%

Counts

741 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	38.7%	(/.f64 (*.f64 x #s(literal -200 binary64)) (/.f64 x y))
	49.3%	(/.f64 y #s(literal -1/200 binary64))
✓	52.4%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal 1 binary64) x))
✓	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))
✓	52.6%	(*.f64 #s(literal 200 binary64) x)
✓	49.3%	(*.f64 #s(literal -200 binary64) y)

Compiler

Compiled 120 to 70 computations (41.7% saved)

regimes31.0ms (0.6%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	x
4.0ms	(-.f64 x y)
4.0ms	(*.f64 #s(literal 200 binary64) (-.f64 x y))
4.0ms	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)

regimes5.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
79.0%	3	`x`
80.3%	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	x
1.0ms	y

Results

Accuracy	Segments	Branch
49.3%	1	`x`
49.3%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch24.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.7203558733680584e+52	3.354976316003921e+53
14.0ms	-1.3088063108905112e+38	-3.6211100586841377e+27

Results

10.0ms	262×	0	valid
1.0ms	5×	2	valid
0.0ms	4×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 216 to 179 computations (17.1% saved)

Precisions

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

ival-mult: 2.0ms (44.7% of total)

ival-sub: 2.0ms (44.7% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	22	23
2	27	23
3	29	23
4	30	23

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -19199999999999999397766292720251305984 binary64)) (*.f64 #s(literal -200 binary64) y) (if (<=.f64 y #s(literal 23999999999999999837302768184679071435081002606657536 binary64)) (*.f64 #s(literal 200 binary64) x) (*.f64 #s(literal -200 binary64) y)))

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

Outputs
(*.f64 #s(literal 200 binary64) (-.f64 x y))
(if (<=.f64 y #s(literal -19199999999999999397766292720251305984 binary64)) (.f64 #s(literal -200 binary64) y) (if (<=.f64 y #s(literal 23999999999999999837302768184679071435081002606657536 binary64)) (.f64 #s(literal 200 binary64) x) (*.f64 #s(literal -200 binary64) y)))
(if (<=.f64 y #s(literal -19199999999999999397766292720251305984 binary64)) (.f64 y #s(literal -200 binary64)) (if (<=.f64 y #s(literal 23999999999999999837302768184679071435081002606657536 binary64)) (.f64 #s(literal 200 binary64) x) (*.f64 y #s(literal -200 binary64))))
(*.f64 #s(literal -200 binary64) y)
(*.f64 y #s(literal -200 binary64))

soundness407.0ms (7.8%)

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×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 42 to 26 computations (38.1% saved)

preprocess26.0ms (0.5%)

Compiler: Compiled 68 to 38 computations (44.1% saved)

analyze0.0ms (0%)

sample658.0ms (12.6%)

preprocess56.0ms (1.1%)

explain459.0ms (8.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.6%)

localize25.0ms (0.5%)

series3.0ms (0%)

rewrite392.0ms (7.5%)

simplify118.0ms (2.3%)

eval48.0ms (0.9%)

prune59.0ms (1.1%)

simplify215.0ms (4.1%)

localize135.0ms (2.6%)

series15.0ms (0.3%)

rewrite476.0ms (9.1%)

simplify252.0ms (4.8%)

eval193.0ms (3.7%)

prune130.0ms (2.5%)

simplify228.0ms (4.4%)

localize70.0ms (1.3%)

series6.0ms (0.1%)

rewrite233.0ms (4.5%)

simplify193.0ms (3.7%)

eval62.0ms (1.2%)

prune56.0ms (1.1%)

simplify182.0ms (3.5%)

localize66.0ms (1.3%)

series5.0ms (0.1%)

rewrite187.0ms (3.6%)

simplify13.0ms (0.3%)

eval82.0ms (1.6%)

prune71.0ms (1.4%)

regimes31.0ms (0.6%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch24.0ms (0.5%)

simplify10.0ms (0.2%)

soundness407.0ms (7.8%)

preprocess26.0ms (0.5%)

end0.0ms (0%)

Profiling