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)

sample689.0ms (9.3%)

Results

470.0ms	8113×	0	valid
5.0ms	62×	1	valid
8.0ms	53×	2	valid
5.0ms	28×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-sub: 97.0ms (53.3% of total)

ival-mult: 69.0ms (37.9% of total)

const: 10.0ms (5.5% of total)

backward-pass: 6.0ms (3.3% of total)

Bogosity

preprocess39.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

240×	`accelerator-lowering-fma.f32`
240×	`accelerator-lowering-fma.f64`
144×	`-lowering-.f32`
144×	`-lowering-.f64`
64×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	42	30
2	116	30
3	307	30
4	396	30
5	419	30
6	421	30
0	5	5
1	8	5
2	19	5
3	35	5
4	56	5
5	81	5
6	137	5
7	204	5
8	282	5
9	324	5
10	356	5
0	356	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))
(* (- x y) -200)

explain53.0ms (0.7%)

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

28.0ms	506×	0	valid
0.0ms	4×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 35 to 19 computations (45.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (50.3% of total)

ival-sub: 3.0ms (30.2% of total)

const: 1.0ms (10.1% 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)

localize50.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(*.f64 #s(literal 200 binary64) (-.f64 x y))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 #s(literal 200 binary64) (-.f64 x y))

Rules

240×	`accelerator-lowering-fma.f32`
240×	`accelerator-lowering-fma.f64`
144×	`-lowering-.f32`
144×	`-lowering-.f64`
64×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	8	11
2	19	11
3	35	11
4	56	11
5	81	11
6	137	11
7	204	11
8	282	11
9	324	11
10	356	11
0	356	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

Results

14.0ms	253×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

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

ival-mult: 2.0ms (47.3% of total)

ival-sub: 2.0ms (47.3% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite831.0ms (11.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5754×	`accelerator-lowering-fma.f32`
5754×	`accelerator-lowering-fma.f64`
3256×	`-lowering-.f32`
3256×	`-lowering-.f64`
3212×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	21	8
2	152	8
3	1501	8
0	9465	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 251

Calls

Call 1

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

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

simplify918.0ms (12.4%)

Algorithm

1×	egg-herbie

Rules

26396×	`accelerator-lowering-fma.f32`
26396×	`accelerator-lowering-fma.f64`
3260×	`+-lowering-+.f64`
3260×	`+-lowering-+.f32`
2160×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	207
1	118	207
2	314	207
3	852	171
4	1749	171
5	2885	171
6	3977	171
7	4663	171
8	5012	171
9	5121	171
10	5833	171
11	7621	171
0	8087	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)

eval43.0ms (0.6%)

Compiler: Compiled 10236 to 1649 computations (83.9% saved)

prune42.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	294	5	299
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	294	6	300

Accuracy

100.0%

Counts

300 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -200 binary64) (*.f64 #s(literal 200 binary64) x))
▶	99.6%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
▶	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal 200 binary64)))
✓	100.0%	(*.f64 #s(literal 200 binary64) (-.f64 x y))
▶	52.9%	(*.f64 #s(literal 200 binary64) x)
▶	48.5%	(*.f64 #s(literal -200 binary64) y)

Compiler

Compiled 83 to 65 computations (21.7% saved)

localize203.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 y x))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal 200 binary64))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal 200 binary64)))
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 y x))
✓	cost-diff	128	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
✓	cost-diff	0	(*.f64 #s(literal 200 binary64) x)
✓	cost-diff	0	(*.f64 #s(literal -200 binary64) y)
✓	cost-diff	0	(*.f64 #s(literal 200 binary64) x)
✓	cost-diff	6400	(fma.f64 y #s(literal -200 binary64) (*.f64 #s(literal 200 binary64) x))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (-.f64 y x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal 200 binary64)))
✓	accuracy	99.5%	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y x)) #s(literal 200 binary64))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (-.f64 y x))
✓	accuracy	99.6%	(/.f64 #s(literal 200 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y x)))
✓	accuracy	100.0%	(*.f64 #s(literal 200 binary64) x)
✓	accuracy	100.0%	(*.f64 #s(literal -200 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal 200 binary64) x)
✓	accuracy	100.0%	(fma.f64 y #s(literal -200 binary64) (*.f64 #s(literal 200 binary64) x))

Rules

288×	`accelerator-lowering-fma.f32`
288×	`accelerator-lowering-fma.f64`
282×	`div-sub`
192×	`-lowering-.f32`
192×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	27	46
2	50	40
3	97	40
4	161	40
5	240	40
6	344	40
7	424	40
8	457	40
9	494	40
10	746	40
11	890	40
0	890	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

117.0ms	248×	0	valid
3.0ms	6×	1	valid
1.0ms	2×	2	valid

Compiler

Compiled 74 to 41 computations (44.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 15.0ms (44.5% of total)

ival-mult: 8.0ms (23.8% of total)

<compiled-spec>: 4.0ms (11.9% of total)

const: 3.0ms (8.9% of total)

ival-add: 2.0ms (5.9% of total)

backward-pass: 1.0ms (3% of total)

ival-sub: 1.0ms (3% of total)

series20.0ms (0.3%)

Counts

8 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* 200 x)
1.0ms	x	@	inf	(* 200 x)
1.0ms	x	@	-inf	(/ (/ -1 (- y x)) 200)
1.0ms	y	@	0	(/ 200 (/ -1 (- y x)))
0.0ms	x	@	inf	(/ -1 (- y x))

rewrite646.0ms (8.7%)

Algorithm

1×	batch-egg-rewrite

Rules

5054×	`accelerator-lowering-fma.f32`
5054×	`accelerator-lowering-fma.f64`
4524×	`-lowering-.f32`
4524×	`-lowering-.f64`
2178×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	75	40
2	501	34
3	4427	34
0	8607	34

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 744

Calls

Call 1

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

Outputs
(+.f64 (.f64 y #s(literal -200 binary64)) (.f64 #s(literal 200 binary64) x))
(+.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal -200 binary64)))
(+.f64 (/.f64 (.f64 (.f64 y y) #s(literal 40000 binary64)) (.f64 #s(literal -200 binary64) (+.f64 y x))) (neg.f64 (.f64 x (/.f64 (.f64 x #s(literal 40000 binary64)) (.f64 #s(literal -200 binary64) (+.f64 y x))))))
(+.f64 (neg.f64 (.f64 y #s(literal 200 binary64))) (.f64 #s(literal 200 binary64) x))
(+.f64 (.f64 #s(literal 200 binary64) (neg.f64 y)) (.f64 #s(literal 200 binary64) x))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y #s(literal 200 binary64))) (*.f64 #s(literal 200 binary64) x))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 y #s(literal -200 binary64))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 200 binary64) x)))
(+.f64 (.f64 (neg.f64 y) #s(literal 200 binary64)) (.f64 #s(literal 200 binary64) x))
(+.f64 (.f64 (.f64 y #s(literal 200 binary64)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -200 binary64) x) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 y #s(literal -200 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 200 binary64) x) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) #s(literal 1/200 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) #s(literal 1/200 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 x y) #s(literal 1/200 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1/200 binary64) (-.f64 x y)) (/.f64 #s(literal 1/200 binary64) (-.f64 x y)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal 1/200 binary64) (-.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal 1/200 binary64) (-.f64 x y))) #s(literal -1/2 binary64)) (.f64 (log.f64 (/.f64 #s(literal 1/200 binary64) (-.f64 x y))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) #s(literal 1/200 binary64)))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 40000 binary64)) (.f64 #s(literal -200 binary64) (+.f64 y x))) (.f64 x (/.f64 (.f64 x #s(literal 40000 binary64)) (.f64 #s(literal -200 binary64) (+.f64 y x)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 40000 binary64))) (+.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal 200 binary64)))) (/.f64 (.f64 (.f64 y y) #s(literal 40000 binary64)) (+.f64 (.f64 #s(literal 200 binary64) x) (.f64 y #s(literal 200 binary64)))))
(-.f64 (/.f64 (/.f64 y #s(literal -1 binary64)) #s(literal 1/200 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/200 binary64)))
(fma.f64 y #s(literal -200 binary64) (*.f64 #s(literal 200 binary64) x))
(fma.f64 y (/.f64 (.f64 y #s(literal 40000 binary64)) (.f64 #s(literal -200 binary64) (+.f64 y x))) (neg.f64 (.f64 x (/.f64 (.f64 x #s(literal 40000 binary64)) (*.f64 #s(literal -200 binary64) (+.f64 y x))))))
(fma.f64 y (exp.f64 (log.f64 #s(literal -200 binary64))) (*.f64 #s(literal 200 binary64) x))
(fma.f64 #s(literal -200 binary64) y (*.f64 #s(literal 200 binary64) x))
(fma.f64 #s(literal -200 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -200 binary64)))
(fma.f64 #s(literal -200 binary64) (/.f64 (.f64 y (.f64 y #s(literal -200 binary64))) (.f64 #s(literal -200 binary64) (+.f64 y x))) (neg.f64 (.f64 x (/.f64 (.f64 x #s(literal 40000 binary64)) (.f64 #s(literal -200 binary64) (+.f64 y x))))))
(fma.f64 (.f64 y #s(literal -200 binary64)) #s(literal 1 binary64) (.f64 (*.f64 #s(literal 200 binary64) x) #s(literal 1 binary64)))
(fma.f64 (.f64 y #s(literal -200 binary64)) (/.f64 (.f64 y #s(literal -200 binary64)) (.f64 #s(literal -200 binary64) (+.f64 y x))) (neg.f64 (.f64 x (/.f64 (.f64 x #s(literal 40000 binary64)) (.f64 #s(literal -200 binary64) (+.f64 y x))))))
(fma.f64 #s(literal 200 binary64) x (*.f64 y #s(literal -200 binary64)))
(fma.f64 #s(literal 200 binary64) (neg.f64 y) (*.f64 #s(literal 200 binary64) x))
(fma.f64 x #s(literal 200 binary64) (*.f64 y #s(literal -200 binary64)))
(fma.f64 x (exp.f64 (log.f64 #s(literal 200 binary64))) (*.f64 y #s(literal -200 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -200 binary64) x) (.f64 y #s(literal -200 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 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 1 binary64) (*.f64 #s(literal 200 binary64) x)))
(fma.f64 (.f64 (.f64 y y) #s(literal 40000 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -200 binary64) (+.f64 y x))) (neg.f64 (.f64 x (/.f64 (.f64 x #s(literal 40000 binary64)) (.f64 #s(literal -200 binary64) (+.f64 y x))))))
(fma.f64 (.f64 y y) (/.f64 #s(literal 40000 binary64) (.f64 #s(literal -200 binary64) (+.f64 y x))) (neg.f64 (.f64 x (/.f64 (.f64 x #s(literal 40000 binary64)) (*.f64 #s(literal -200 binary64) (+.f64 y x))))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -200 binary64) (*.f64 y #s(literal -200 binary64)))
(fma.f64 #s(literal 40000 binary64) (/.f64 (.f64 y y) (.f64 #s(literal -200 binary64) (+.f64 y x))) (neg.f64 (.f64 x (/.f64 (.f64 x #s(literal 40000 binary64)) (*.f64 #s(literal -200 binary64) (+.f64 y x))))))
(fma.f64 (neg.f64 y) #s(literal 200 binary64) (*.f64 #s(literal 200 binary64) x))
(fma.f64 (.f64 y #s(literal 200 binary64)) #s(literal -1 binary64) (.f64 (*.f64 #s(literal -200 binary64) x) #s(literal -1 binary64)))
(fma.f64 (.f64 y #s(literal 40000 binary64)) (/.f64 y (.f64 #s(literal -200 binary64) (+.f64 y x))) (neg.f64 (.f64 x (/.f64 (.f64 x #s(literal 40000 binary64)) (*.f64 #s(literal -200 binary64) (+.f64 y x))))))
(fma.f64 (.f64 y (.f64 y #s(literal -200 binary64))) (/.f64 #s(literal -200 binary64) (.f64 #s(literal -200 binary64) (+.f64 y x))) (neg.f64 (.f64 x (/.f64 (.f64 x #s(literal 40000 binary64)) (.f64 #s(literal -200 binary64) (+.f64 y x))))))
(fma.f64 (/.f64 (.f64 (.f64 y y) #s(literal 40000 binary64)) (.f64 #s(literal 40000 binary64) (-.f64 (.f64 y y) (.f64 x x)))) (/.f64 (-.f64 x y) #s(literal 1/200 binary64)) (neg.f64 (.f64 x (/.f64 (.f64 x #s(literal 40000 binary64)) (.f64 #s(literal -200 binary64) (+.f64 y x))))))
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simplify616.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

10756×	`accelerator-lowering-fma.f32`
10756×	`accelerator-lowering-fma.f64`
4794×	`-lowering-.f32`
4794×	`-lowering-.f64`
2786×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	1364
1	796	1326
2	2119	1266
3	7405	1251
0	8463	1151

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval253.0ms (3.4%)

Compiler: Compiled 24217 to 9603 computations (60.3% saved)

prune183.0ms (2.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1139	2	1141
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	1142	5	1147

Accuracy

100.0%

Counts

1147 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (-.f64 y x) #s(literal -1/200 binary64))
▶	52.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/200 binary64) x))
✓	100.0%	(*.f64 #s(literal 200 binary64) (-.f64 x y))
✓	52.9%	(*.f64 #s(literal 200 binary64) x)
✓	48.5%	(*.f64 #s(literal -200 binary64) y)

Compiler

Compiled 31 to 24 computations (22.6% saved)

localize140.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(/.f64 (-.f64 y x) #s(literal -1/200 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1/200 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/200 binary64) x))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	99.8%	(/.f64 (-.f64 y x) #s(literal -1/200 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1/200 binary64) x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/200 binary64) x))

Rules

256×	`accelerator-lowering-fma.f32`
256×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
78×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	19	19
2	26	19
3	38	19
4	59	19
5	81	19
6	134	19
7	198	19
8	283	19
9	351	19
10	394	19
11	412	19
12	427	19
13	444	19
14	506	19
15	510	19
0	510	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

22.0ms	240×	0	valid
8.0ms	16×	5	exit

Compiler

Compiled 25 to 15 computations (40% saved)

Precisions

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

ival-div: 11.0ms (72.5% of total)

ival-sub: 2.0ms (13.2% of total)

backward-pass: 2.0ms (13.2% of total)

const: 1.0ms (6.6% of total)

series5.0ms (0.1%)

Counts

4 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite499.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4992×	`-lowering-.f32`
4992×	`-lowering-.f64`
3860×	`accelerator-lowering-fma.f32`
3860×	`accelerator-lowering-fma.f64`
3402×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	54	14
2	300	14
3	2579	14
0	8244	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 436

Calls

Call 1

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

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

simplify1.0s (13.7%)

Algorithm

1×	egg-herbie

Rules

26652×	`accelerator-lowering-fma.f32`
26652×	`accelerator-lowering-fma.f64`
3324×	`+-lowering-+.f64`
3324×	`+-lowering-+.f32`
2216×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	279
1	120	279
2	318	279
3	850	243
4	1758	243
5	2828	243
6	3929	243
7	4660	243
8	5009	243
9	5125	243
10	5890	243
11	7718	243
0	8192	243

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval93.0ms (1.3%)

Compiler: Compiled 8075 to 3436 computations (57.4% saved)

prune73.0ms (1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	506	2	508
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	507	6	513

Accuracy

100.0%

Counts

513 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.4%	(/.f64 y #s(literal -1/200 binary64))
▶	52.8%	(/.f64 x #s(literal 1/200 binary64))
✓	52.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/200 binary64) x))
✓	100.0%	(*.f64 #s(literal 200 binary64) (-.f64 x y))
✓	52.9%	(*.f64 #s(literal 200 binary64) x)
✓	48.5%	(*.f64 #s(literal -200 binary64) y)

Compiler

Compiled 34 to 27 computations (20.6% saved)

localize38.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y #s(literal -1/200 binary64))
✓	cost-diff	0	(/.f64 x #s(literal 1/200 binary64))
✓	accuracy	99.8%	(/.f64 y #s(literal -1/200 binary64))
✓	accuracy	99.8%	(/.f64 x #s(literal 1/200 binary64))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
0	6	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

14.0ms	238×	0	valid
5.0ms	18×	5	exit

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

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

ival-div: 5.0ms (75.6% of total)

const: 1.0ms (15.1% of total)

backward-pass: 1.0ms (15.1% of total)

series2.0ms (0%)

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite466.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4736×	`accelerator-lowering-fma.f32`
4736×	`accelerator-lowering-fma.f64`
4170×	`-lowering-.f32`
4170×	`-lowering-.f64`
2984×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	23	6
2	63	6
3	256	6
4	1189	6
0	8911	6

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 712

Calls

Call 1

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

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	72
1	8	72
0	8	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

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

eval133.0ms (1.8%)

Compiler: Compiled 8647 to 5389 computations (37.7% saved)

prune117.0ms (1.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	736	0	736
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	736	6	742

Accuracy

100.0%

Counts

742 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.4%	(/.f64 y #s(literal -1/200 binary64))
✓	52.8%	(/.f64 x #s(literal 1/200 binary64))
✓	52.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/200 binary64) x))
✓	100.0%	(*.f64 #s(literal 200 binary64) (-.f64 x y))
✓	52.9%	(*.f64 #s(literal 200 binary64) x)
✓	48.5%	(*.f64 #s(literal -200 binary64) y)

Compiler

Compiled 85 to 61 computations (28.2% saved)

regimes16.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(*.f64 #s(literal 200 binary64) (-.f64 x y))
3.0ms	(-.f64 x y)
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes40.0ms (0.5%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
79.3%	5	`x`
77.5%	5	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

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:

0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
48.5%	1	`y`
48.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch92.0ms (1.2%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	2.2629142593259365e-36	9.773677482306133e-33
10.0ms	-2.4127440410289463e-44	-1.375151294024721e-51
12.0ms	-4.433420845414632e+30	-17459657486198264.0
45.0ms	-2.9877310178996236e+85	-3.793549037372426e+79

Results

57.0ms	571×	0	valid
0.0ms	3×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 444 to 369 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 39.0ms (90.1% of total)

ival-sub: 4.0ms (9.2% of total)

const: 1.0ms (2.3% of total)

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

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 41 to 29 computations (29.3% saved)

preprocess70.0ms (0.9%)

Compiler: Compiled 96 to 68 computations (29.2% saved)

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

analyze0.0ms (0%)

sample689.0ms (9.3%)

preprocess39.0ms (0.5%)

explain53.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize50.0ms (0.7%)

series4.0ms (0.1%)

rewrite831.0ms (11.2%)

simplify918.0ms (12.4%)

eval43.0ms (0.6%)

prune42.0ms (0.6%)

localize203.0ms (2.7%)

series20.0ms (0.3%)

rewrite646.0ms (8.7%)

simplify616.0ms (8.3%)

eval253.0ms (3.4%)

prune183.0ms (2.5%)

localize140.0ms (1.9%)

series5.0ms (0.1%)

rewrite499.0ms (6.7%)

simplify1.0s (13.7%)

eval93.0ms (1.3%)

prune73.0ms (1%)

localize38.0ms (0.5%)

series2.0ms (0%)

rewrite466.0ms (6.3%)

simplify10.0ms (0.1%)

eval133.0ms (1.8%)

prune117.0ms (1.6%)

regimes16.0ms (0.2%)

regimes40.0ms (0.5%)

regimes1.0ms (0%)

bsearch92.0ms (1.2%)

soundness1.0ms (0%)

preprocess70.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	34
1	42	30
2	116	30
3	307	30
4	396	30
5	419	30
6	421	30
0	5	5
1	8	5
2	19	5
3	35	5
4	56	5
5	81	5
6	137	5
7	204	5
8	282	5
9	324	5
10	356	5
0	356	5

Iter	Nodes	Cost
0	5	11
1	8	11
2	19	11
3	35	11
4	56	11
5	81	11
6	137	11
7	204	11
8	282	11
9	324	11
10	356	11
0	356	11

Iter	Nodes	Cost
0	15	48
1	27	46
2	50	40
3	97	40
4	161	40
5	240	40
6	344	40
7	424	40
8	457	40
9	494	40
10	746	40
11	890	40
0	890	40

Iter	Nodes	Cost
0	9	19
1	19	19
2	26	19
3	38	19
4	59	19
5	81	19
6	134	19
7	198	19
8	283	19
9	351	19
10	394	19
11	412	19
12	427	19
13	444	19
14	506	19
15	510	19
0	510	19

Iter	Nodes	Cost
0	15	34
1	42	30
2	116	30
3	307	30
4	396	30
5	419	30
6	421	30
0	5	5
1	8	5
2	19	5
3	35	5
4	56	5
5	81	5
6	137	5
7	204	5
8	282	5
9	324	5
10	356	5
0	356	5

Iter	Nodes	Cost
0	5	11
1	8	11
2	19	11
3	35	11
4	56	11
5	81	11
6	137	11
7	204	11
8	282	11
9	324	11
10	356	11
0	356	11

Iter	Nodes	Cost
0	15	48
1	27	46
2	50	40
3	97	40
4	161	40
5	240	40
6	344	40
7	424	40
8	457	40
9	494	40
10	746	40
11	890	40
0	890	40

Iter	Nodes	Cost
0	9	19
1	19	19
2	26	19
3	38	19
4	59	19
5	81	19
6	134	19
7	198	19
8	283	19
9	351	19
10	394	19
11	412	19
12	427	19
13	444	19
14	506	19
15	510	19
0	510	19

Iter	Nodes	Cost
0	15	34
1	42	30
2	116	30
3	307	30
4	396	30
5	419	30
6	421	30
0	5	5
1	8	5
2	19	5
3	35	5
4	56	5
5	81	5
6	137	5
7	204	5
8	282	5
9	324	5
10	356	5
0	356	5

Iter	Nodes	Cost
0	5	11
1	8	11
2	19	11
3	35	11
4	56	11
5	81	11
6	137	11
7	204	11
8	282	11
9	324	11
10	356	11
0	356	11

Iter	Nodes	Cost
0	15	48
1	27	46
2	50	40
3	97	40
4	161	40
5	240	40
6	344	40
7	424	40
8	457	40
9	494	40
10	746	40
11	890	40
0	890	40

Iter	Nodes	Cost
0	9	19
1	19	19
2	26	19
3	38	19
4	59	19
5	81	19
6	134	19
7	198	19
8	283	19
9	351	19
10	394	19
11	412	19
12	427	19
13	444	19
14	506	19
15	510	19
0	510	19