Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, D

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample674.0ms (23.1%)

Results

468.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-div: 104.0ms (56.5% of total)

ival-sub: 67.0ms (36.4% of total)

const: 10.0ms (5.4% of total)

backward-pass: 2.0ms (1.1% of total)

Bogosity

preprocess46.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

300×	`fnmsub-define`
298×	`fmsub-define`
290×	`fnmadd-define`
244×	`fmm-def`
196×	`fnmadd-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	33	32
2	80	30
3	181	24
4	493	24
5	894	24
6	1100	24
7	1112	24
0	5	5
1	7	5
2	17	5
3	26	5
4	40	5
5	76	4
6	146	4
7	246	4
8	344	4
9	519	4
10	654	4
11	713	4
12	721	4
0	721	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- x (/ y 200))

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

Call 2

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

Outputs
(- x (/ y 200))
(fma y -1/200 x)
(- (neg x) (/ y 200))
(fnmsub y 1/200 x)
(- x (/ (neg y) 200))
(fma y 1/200 x)
(neg (- (neg x) (/ y 200)))
(fma y 1/200 x)
(neg (- x (/ (neg y) 200)))
(fnmsub y 1/200 x)
(- y (/ x 200))
(fma x -1/200 y)

explain51.0ms (1.8%)

FPErrors

Click to see full error table

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

Results

27.0ms

512×

valid

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

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

ival-div: 5.0ms (59.1% of total)

ival-sub: 3.0ms (35.5% of total)

const: 1.0ms (11.8% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify21.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

196×	`fnmadd-define`
150×	`sum3-define`
136×	`fnmsub-define`
136×	`fmsub-define`
128×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	7	11
2	17	11
3	26	11
4	40	11
5	76	10
6	146	10
7	246	10
8	344	10
9	519	10
10	654	10
11	713	10
12	721	10
0	721	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize19.0ms (0.7%)

Localize:

Found 2 expressions of interest:

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

Results

14.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-div: 2.0ms (40% of total)

ival-sub: 2.0ms (40% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

2 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite490.0ms (16.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3186×	`-lowering-.f32`
3186×	`-lowering-.f64`
1548×	`/-lowering-/.f32`
1548×	`/-lowering-/.f64`
1274×	`unpow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	30	8
2	256	7
3	4311	7
0	8486	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 113

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 y #s(literal -200 binary64)))
(+.f64 (/.f64 y #s(literal -200 binary64)) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))))
(+.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 y #s(literal 200 binary64))))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 200 binary64))))) #s(literal -1 binary64)))
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y #s(literal 200 binary64)) x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))))
(-.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 y #s(literal 200 binary64))))) (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64)))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 y #s(literal 200 binary64)))
(fma.f64 x #s(literal 1 binary64) (/.f64 y #s(literal -200 binary64)))
(fma.f64 x (/.f64 x (+.f64 x (/.f64 y #s(literal 200 binary64)))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(fma.f64 x (/.f64 (.f64 x x) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))))
(fma.f64 y #s(literal -1/200 binary64) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/200 binary64) x)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(fma.f64 (.f64 x x) (/.f64 x (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))))
(fma.f64 #s(literal 1 binary64) x (/.f64 y #s(literal -200 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal 200 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -40000 binary64) y)))) (-.f64 x (/.f64 y #s(literal 200 binary64))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)))) (+.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 200 binary64)) x) (/.f64 #s(literal 200 binary64) y))) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)) (.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 x (/.f64 y #s(literal 200 binary64)))))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)) (-.f64 (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)) (.f64 x x)))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 x (/.f64 y #s(literal 200 binary64))))))) (-.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))))
(neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))))
(neg.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -40000 binary64) y))) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64))) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 y (/.f64 #s(literal 40000 binary64) y))) (+.f64 x (/.f64 y #s(literal 200 binary64)))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64))) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64))) (+.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (-.f64 (*.f64 x x) (/.f64 x (/.f64 #s(literal -200 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 200 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -40000 binary64) y))) (+.f64 x (/.f64 y #s(literal 200 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 200 binary64))))))
(/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 y (/.f64 #s(literal 40000 binary64) y))) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal 200 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 512000000000000000000 binary64))) (.f64 (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 64000000000000 binary64))) (.f64 (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (*.f64 y y)) #s(literal 8000000 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 64000000000000 binary64))) (.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1600000000 binary64))) (.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) (.f64 (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)))) (.f64 (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))) (+.f64 (.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))) (.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 x (/.f64 y #s(literal 200 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 512000000000000000000 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 64000000000000 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64))) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 64000000000000 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y))))) (+.f64 x (/.f64 y #s(literal 200 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1600000000 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y))) (+.f64 x (/.f64 y #s(literal 200 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -40000 binary64) y))) #s(literal 1 binary64)) (+.f64 x (/.f64 y #s(literal 200 binary64))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))) (+.f64 (.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 x (/.f64 y #s(literal 200 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (/.f64 x (+.f64 x (/.f64 y #s(literal 200 binary64))))) (.f64 x (/.f64 x (+.f64 x (/.f64 y #s(literal 200 binary64)))))) (+.f64 (.f64 (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64))))) (.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 y #s(literal 200 binary64))))) (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64))))))))
(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (*.f64 x x)) (-.f64 (/.f64 y #s(literal -200 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))) (.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (+.f64 x (/.f64 y #s(literal 200 binary64))))) (.f64 x (/.f64 x (+.f64 x (/.f64 y #s(literal 200 binary64)))))) (.f64 (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64)))))) (+.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 y #s(literal 200 binary64))))) (/.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 512000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 64000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (*.f64 y y)) #s(literal 8000000 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 64000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 200 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1600000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 200 binary64))))) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))))
(.f64 (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))) (.f64 (-.f64 x (/.f64 y #s(literal 200 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))))
(.f64 (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))) (/.f64 (-.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 (.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y #s(literal 200 binary64))))
(.f64 (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -40000 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 200 binary64)))))
(.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (.f64 (-.f64 x (/.f64 y #s(literal 200 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(*.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (/.f64 (-.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 x (/.f64 y #s(literal 200 binary64)))))
(.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (*.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))))
(.f64 (+.f64 (neg.f64 (.f64 x x)) (/.f64 y (/.f64 #s(literal 40000 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (*.f64 y y)) #s(literal 8000000 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (*.f64 y y)) #s(literal 8000000 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -40000 binary64) y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -40000 binary64) y)))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -40000 binary64) y))) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y #s(literal 200 binary64)) x) (/.f64 #s(literal 200 binary64) y))))
(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal -40000 binary64) y))) (+.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal -40000 binary64) y)))) (-.f64 x (/.f64 y #s(literal 200 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)) (.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 x (/.f64 y #s(literal 200 binary64)))))))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)) (-.f64 (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 x (/.f64 y #s(literal 200 binary64))))))) (-.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 64000000000000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1600000000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 512000000000000000000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal 64000000000000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (*.f64 y y)) #s(literal 8000000 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 200 binary64) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 200 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -200 binary64)))
(neg.f64 (/.f64 y #s(literal -200 binary64)))
(neg.f64 (*.f64 (/.f64 y #s(literal -200 binary64)) #s(literal 1 binary64)))
(/.f64 y #s(literal 200 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -200 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
(/.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -200 binary64) y))
(pow.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 1/200 binary64))
(*.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1/200 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 200 binary64)))
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal -200 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(literal -200 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/200 binary64))
(*.f64 (pow.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) #s(literal -1/200 binary64))
(*.f64 (pow.f64 (pow.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

simplify110.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

2256×	`fnmadd-define`
1614×	`fma-define`
1120×	`-lowering-.f32`
1120×	`-lowering-.f64`
1112×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	70	120
2	187	120
3	552	120
4	1613	120
5	4131	120
0	8143	120

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval17.0ms (0.6%)

Compiler: Compiled 3435 to 337 computations (90.2% saved)

prune16.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	146	3	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	146	4	150

Accuracy

100.0%

Counts

150 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
▶	99.9%	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
▶	51.7%	(*.f64 #s(literal -1/200 binary64) y)
▶	49.0%	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify21.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

204×	`fnmadd-define`
160×	`sum3-define`
130×	`fma-define`
128×	`fma-lowering-fma.f32`
128×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	14	17
2	24	16
3	41	16
4	58	16
5	102	16
6	180	16
7	286	16
8	363	16
9	557	16
10	677	16
11	691	16
0	691	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize48.0ms (1.7%)

Localize:

Found 3 expressions of interest:

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

Results

40.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

...c/correct-round.rkt:119:19: 21.0ms (76.5% of total)

ival-mult: 5.0ms (18.2% of total)

ival-sub: 1.0ms (3.6% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

3 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite347.0ms (11.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3038×	`-lowering-.f32`
3038×	`-lowering-.f64`
2464×	`/-lowering-/.f32`
2464×	`/-lowering-/.f64`
1422×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	27	11
2	193	10
3	2006	10
0	8847	10

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 175

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/200 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (.f64 y #s(literal 1/200 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (+.f64 #s(literal 0 binary64) (.f64 y #s(literal 1/200 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (.f64 #s(literal 0 binary64) (.f64 y #s(literal 1/200 binary64)))))) (*.f64 #s(literal -1/200 binary64) y))
(neg.f64 (*.f64 y #s(literal 1/200 binary64)))
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/200 binary64))))))
(/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/200 binary64)))))))
(/.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/200 binary64)))))
(/.f64 (.f64 (.f64 y y) #s(literal -1/40000 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/200 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/200 binary64) y)))))
(*.f64 #s(literal -1/200 binary64) y)
(*.f64 y #s(literal -1/200 binary64))
(*.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) y))
(.f64 (.f64 y #s(literal 1/200 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/200 binary64))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/200 binary64)))
(+.f64 x (*.f64 #s(literal -1/200 binary64) y))
(+.f64 (*.f64 #s(literal -1/200 binary64) y) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (.f64 y #s(literal 1/200 binary64)))))) (neg.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (*.f64 y #s(literal 1/200 binary64))))))))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal 1/200 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (+.f64 x (*.f64 y #s(literal 1/200 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal -1/200 binary64) y)))) #s(literal -1 binary64)))
(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (.f64 y #s(literal 1/200 binary64)))))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (*.f64 y #s(literal 1/200 binary64)))))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal 1/200 binary64)))) (/.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (+.f64 x (*.f64 y #s(literal 1/200 binary64)))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal 1/200 binary64)))) (/.f64 (-.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (+.f64 (.f64 (.f64 y y) #s(literal -1/40000 binary64)) (.f64 y (.f64 y #s(literal 1/40000 binary64))))) (+.f64 x (*.f64 y #s(literal 1/200 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 1/200 binary64)) x))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 y #s(literal 1/200 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (.f64 y #s(literal 1/200 binary64))))))) (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (*.f64 y #s(literal 1/200 binary64))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/40000 binary64))))))) (+.f64 x (.f64 y #s(literal 1/200 binary64)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/40000 binary64))))))) (+.f64 x (*.f64 y #s(literal 1/200 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/40000 binary64))))) (+.f64 x (.f64 y #s(literal 1/200 binary64)))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/1600000000 binary64)) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/40000 binary64))))) (+.f64 x (*.f64 y #s(literal 1/200 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (.f64 #s(literal -1/200 binary64) y) (neg.f64 x))) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/40000 binary64)))) (+.f64 (*.f64 #s(literal -1/200 binary64) y) (neg.f64 x))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (.f64 y #s(literal 1/200 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))))))) (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1/512000000000000000000 binary64)) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (.f64 y #s(literal 1/200 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (.f64 y #s(literal 1/200 binary64))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (.f64 y #s(literal 1/200 binary64))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 x (.f64 y #s(literal 1/200 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/40000 binary64)))))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (.f64 (+.f64 x (.f64 y #s(literal 1/200 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (+.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal 1/40000 binary64)))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (+.f64 x (.f64 y #s(literal 1/200 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/40000 binary64)))))) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/1600000000 binary64)) (.f64 (+.f64 x (.f64 y #s(literal 1/200 binary64))) (+.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal 1/40000 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (.f64 y #s(literal 1/200 binary64)))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1/512000000000000000000 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (*.f64 y #s(literal 1/200 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (.f64 y #s(literal 1/200 binary64)))))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (*.f64 y #s(literal 1/200 binary64)))))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (-.f64 (.f64 x x) (.f64 x (.f64 #s(literal -1/200 binary64) y))))) (/.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (+.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (-.f64 (.f64 x x) (.f64 x (*.f64 #s(literal -1/200 binary64) y))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))))) (+.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (-.f64 (.f64 x x) (.f64 x (.f64 #s(literal -1/200 binary64) y))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1/512000000000000000000 binary64)) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))))) (+.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (-.f64 (.f64 x x) (.f64 x (*.f64 #s(literal -1/200 binary64) y))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))) (+.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (-.f64 (.f64 x x) (.f64 x (.f64 #s(literal -1/200 binary64) y))))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64)))) (+.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (-.f64 (.f64 x x) (.f64 x (*.f64 #s(literal -1/200 binary64) y))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (.f64 y #s(literal 1/200 binary64)))))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (.f64 y #s(literal 1/200 binary64))))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (.f64 y #s(literal 1/200 binary64))))))) (/.f64 (.f64 (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (.f64 y #s(literal 1/200 binary64))))) (.f64 (.f64 y (.f64 y y)) #s(literal 1/8000000 binary64))) (.f64 (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (.f64 y #s(literal 1/200 binary64))))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (*.f64 y #s(literal 1/200 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (+.f64 x (.f64 y #s(literal 1/200 binary64)))) (.f64 (+.f64 x (.f64 y #s(literal 1/200 binary64))) (+.f64 x (.f64 y #s(literal 1/200 binary64))))) (/.f64 (.f64 (+.f64 x (.f64 y #s(literal 1/200 binary64))) (.f64 y (.f64 y #s(literal 1/40000 binary64)))) (.f64 (+.f64 x (.f64 y #s(literal 1/200 binary64))) (+.f64 x (*.f64 y #s(literal 1/200 binary64))))))
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(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 1/200 binary64)) (+.f64 x (.f64 y #s(literal 1/200 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 y (*.f64 y y)) #s(literal 1/8000000 binary64)))))
(.f64 (pow.f64 (/.f64 (+.f64 x (.f64 y #s(literal 1/200 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/64000000000000 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (.f64 y #s(literal 1/40000 binary64))) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/40000 binary64))))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (.f64 y #s(literal 1/200 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/1600000000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 1/40000 binary64))))))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/200 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/200 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 y #s(literal 1/200 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal 1/200 binary64))
(*.f64 #s(literal 1/200 binary64) y)
(*.f64 #s(literal 1/200 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 1/200 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/200 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/200 binary64))) (exp.f64 (log.f64 y)))

simplify132.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

2256×	`fnmadd-define`
1614×	`fma-define`
1120×	`-lowering-.f32`
1120×	`-lowering-.f64`
1112×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	174
1	70	156
2	187	156
3	552	156
4	1613	156
5	4131	156
0	8143	156

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval25.0ms (0.9%)

Compiler: Compiled 8506 to 549 computations (93.5% saved)

prune28.0ms (1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	223	4	227

Accuracy

100.0%

Counts

227 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	99.9%	(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
✓	51.7%	(*.f64 #s(literal -1/200 binary64) y)
✓	49.0%	x

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes11.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	x
2.0ms	(/.f64 y #s(literal 200 binary64))
2.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	y

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
79.5%	3	`x`
77.5%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
49.0%	1	`y`
49.0%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch21.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.9896076294587566e-139	6.024252992037034e-133
9.0ms	-1.2062996711568837e+68	-1.5173300691389913e+67

Results

11.0ms

240×

valid

Compiler

Compiled 162 to 129 computations (20.4% saved)

Precisions

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

ival-div: 3.0ms (57.1% of total)

ival-sub: 1.0ms (19% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	24
1	28	24
2	46	24
3	56	24
4	63	24
5	65	24

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
(if (<=.f64 x #s(literal -15499999999999999807248908482079906803750326892224135638178324283392 binary64)) x (if (<=.f64 x #s(literal 7672009237256583/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (*.f64 #s(literal -1/200 binary64) y) x))
x

Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(-.f64 x (*.f64 y #s(literal 1/200 binary64)))
(if (<=.f64 x #s(literal -15499999999999999807248908482079906803750326892224135638178324283392 binary64)) x (if (<=.f64 x #s(literal 7672009237256583/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (*.f64 #s(literal -1/200 binary64) y) x))
(if (<=.f64 x #s(literal -15499999999999999807248908482079906803750326892224135638178324283392 binary64)) x (if (<=.f64 x #s(literal 7672009237256583/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (*.f64 y #s(literal -1/200 binary64)) x))
x

soundness763.0ms (26.2%)

Rules

3186×	`-lowering-.f32`
3186×	`-lowering-.f64`
2256×	`fnmadd-define`
1614×	`fma-define`
1548×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	70	120
2	187	120
3	552	120
4	1613	120
5	4131	120
0	8143	120
0	5	8
1	30	8
2	256	7
3	4311	7
0	8486	7

Stop Event

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

Compiler

Compiled 44 to 29 computations (34.1% saved)

preprocess43.0ms (1.5%)

Compiler: Compiled 66 to 42 computations (36.4% saved)

Data.Colour.CIE:cieLAB from colour-2.3.3, D

analyze0.0ms (0%)

sample674.0ms (23.1%)

preprocess46.0ms (1.6%)

explain51.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (0.7%)

localize19.0ms (0.7%)

series2.0ms (0.1%)

rewrite490.0ms (16.8%)

simplify110.0ms (3.8%)

eval17.0ms (0.6%)

prune16.0ms (0.5%)

simplify21.0ms (0.7%)

localize48.0ms (1.7%)

series1.0ms (0%)

rewrite347.0ms (11.9%)

simplify132.0ms (4.5%)

eval25.0ms (0.9%)

prune28.0ms (1%)

regimes11.0ms (0.4%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch21.0ms (0.7%)

simplify13.0ms (0.5%)

soundness763.0ms (26.2%)

preprocess43.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	5	11
1	7	11
2	17	11
3	26	11
4	40	11
5	76	10
6	146	10
7	246	10
8	344	10
9	519	10
10	654	10
11	713	10
12	721	10
0	721	10

Iter	Nodes	Cost
0	7	17
1	14	17
2	24	16
3	41	16
4	58	16
5	102	16
6	180	16
7	286	16
8	363	16
9	557	16
10	677	16
11	691	16
0	691	16

Iter	Nodes	Cost
0	5	11
1	7	11
2	17	11
3	26	11
4	40	11
5	76	10
6	146	10
7	246	10
8	344	10
9	519	10
10	654	10
11	713	10
12	721	10
0	721	10

Iter	Nodes	Cost
0	7	17
1	14	17
2	24	16
3	41	16
4	58	16
5	102	16
6	180	16
7	286	16
8	363	16
9	557	16
10	677	16
11	691	16
0	691	16

Iter	Nodes	Cost
0	5	11
1	7	11
2	17	11
3	26	11
4	40	11
5	76	10
6	146	10
7	246	10
8	344	10
9	519	10
10	654	10
11	713	10
12	721	10
0	721	10

Iter	Nodes	Cost
0	7	17
1	14	17
2	24	16
3	41	16
4	58	16
5	102	16
6	180	16
7	286	16
8	363	16
9	557	16
10	677	16
11	691	16
0	691	16