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)

sample593.0ms (12.4%)

Results

420.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-sub: 80.0ms (47.4% of total)

ival-div: 75.0ms (44.5% of total)

const: 11.0ms (6.5% of total)

backward-pass: 3.0ms (1.8% of total)

Bogosity

preprocess78.0ms (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)

explain53.0ms (1.1%)

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

25.0ms

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 (61.2% of total)

ival-sub: 3.0ms (36.7% of total)

const: 1.0ms (12.2% 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)

simplify18.0ms (0.4%)

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)

localize43.0ms (0.9%)

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

37.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-sub: 14.0ms (83.9% of total)

ival-div: 2.0ms (12% of total)

const: 0.0ms (0% of total)

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

series3.0ms (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
0.0ms	y	@	-inf	(/ y 200)
0.0ms	y	@	inf	(- x (/ y 200))
0.0ms	x	@	inf	(- x (/ y 200))
0.0ms	y	@	inf	(/ y 200)
0.0ms	y	@	0	(- x (/ y 200))

rewrite238.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

3186×	`-lowering-.f32`
3186×	`-lowering-.f64`
1548×	`/-lowering-/.f32`
1548×	`/-lowering-/.f64`
1270×	`unpow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	30	8
2	254	7
3	4302	7
0	8419	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 (*.f64 x 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 (*.f64 x 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 (.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 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 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 (.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 x (.f64 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 x (.f64 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 #s(literal -200 binary64)) (+.f64 x (/.f64 y #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 (*.f64 y y) #s(literal -40000 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 (.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))))))
(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 (.f64 y y) #s(literal -40000 binary64))) (-.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 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 y y) #s(literal -40000 binary64)))) (+.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 (.f64 y y) #s(literal -40000 binary64))) (+.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 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 y y) #s(literal -40000 binary64)))) (-.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 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 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 (*.f64 y y) #s(literal -40000 binary64))) #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 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 y y) #s(literal -40000 binary64))))) (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 (.f64 x 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 (.f64 x x) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (/.f64 (.f64 x 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 (*.f64 x 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 (.f64 x x) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (/.f64 (.f64 x 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 (*.f64 x 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 x (.f64 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 (.f64 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 (*.f64 y y) #s(literal -40000 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 #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 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (*.f64 y y) #s(literal -40000 binary64)))) (/.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 (*.f64 y y) #s(literal -40000 binary64))))
(.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 (*.f64 y y) #s(literal -40000 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 (.f64 y y) #s(literal -40000 binary64))) (+.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 (.f64 y y) #s(literal -40000 binary64))) (+.f64 (.f64 x x) (/.f64 (*.f64 y y) #s(literal -40000 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))) (+.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 x (.f64 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 x (.f64 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 #s(literal -200 binary64)) (+.f64 x (/.f64 y #s(literal 200 binary64))))))
(.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)))))
(.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 x (.f64 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 x (.f64 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)))))
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.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 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 0 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1/200 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.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 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)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) #s(literal -1/200 binary64))

simplify156.0ms (3.2%)

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	8139	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))

eval37.0ms (0.8%)

Compiler: Compiled 3439 to 336 computations (90.2% saved)

prune17.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	144	5	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	144	6	150

Accuracy

100.0%

Counts

150 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.3%	(/.f64 (-.f64 (.f64 x (.f64 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)))))
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
▶	99.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
▶	40.0%	(.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))))))
▶	51.3%	(*.f64 #s(literal -1/200 binary64) y)
▶	49.4%	x

Compiler

Compiled 179 to 111 computations (38% saved)

simplify258.0ms (5.4%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1600000000 binary64)))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 x (.f64 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)))))
✓	cost-diff	64	(+.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)))
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64))))
✓	cost-diff	128	(/.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)))))
✓	cost-diff	320	(.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))))))
✓	cost-diff	0	(*.f64 #s(literal -1/200 binary64) y)
✓	cost-diff	0	(/.f64 #s(literal 200 binary64) y)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))
✓	cost-diff	128	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))

Rules

3528×	`-lowering-.f32`
3528×	`-lowering-.f64`
2034×	`fma-lowering-fma.f32`
2034×	`fma-lowering-fma.f64`
1834×	`fmm-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	37	254
1	108	239
2	295	235
3	965	235
4	2939	235
5	7658	234
0	8352	234

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- x (/ 1 (/ 200 y)))
x
(/ 1 (/ 200 y))
1
(/ 200 y)
200
y
x
(* -1/200 y)
-1/200
y
(* (+ (neg (* x (* x x))) (/ (* y (* y y)) 8000000)) (/ 1 (- 0 (+ (* x x) (/ (* y (+ x (/ y 200))) 200)))))
(+ (neg (* x (* x x))) (/ (* y (* y y)) 8000000))
(neg (* x (* x x)))
(* x (* x x))
x
(* x x)
(/ (* y (* y y)) 8000000)
(* y (* y y))
y
(* y y)
8000000
(/ 1 (- 0 (+ (* x x) (/ (* y (+ x (/ y 200))) 200))))
1
(- 0 (+ (* x x) (/ (* y (+ x (/ y 200))) 200)))
0
(+ (* x x) (/ (* y (+ x (/ y 200))) 200))
(/ (* y (+ x (/ y 200))) 200)
(* y (+ x (/ y 200)))
(+ x (/ y 200))
(/ y 200)
200
(/ (- (* x (* x (* x x))) (/ (* (* y y) (* y y)) 1600000000)) (* (+ x (/ y 200)) (+ (* x x) (/ y (/ 40000 y)))))
(- (* x (* x (* x x))) (/ (* (* y y) (* y y)) 1600000000))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(/ (* (* y y) (* y y)) 1600000000)
(* (* y y) (* y y))
(* y y)
y
1600000000
(* (+ x (/ y 200)) (+ (* x x) (/ y (/ 40000 y))))
(+ x (/ y 200))
(/ y 200)
200
(+ (* x x) (/ y (/ 40000 y)))
(/ y (/ 40000 y))
(/ 40000 y)
40000

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

localize234.0ms (4.9%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal 40000 binary64) y))
✓	accuracy	99.2%	(/.f64 (.f64 (.f64 y y) (*.f64 y y)) #s(literal 1600000000 binary64))
✓	accuracy	92.9%	(-.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1600000000 binary64)))
✓	accuracy	33.8%	(/.f64 (-.f64 (.f64 x (.f64 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)))))
✓	accuracy	99.0%	(/.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)))))
✓	accuracy	98.1%	(+.f64 (.f64 x x) (/.f64 (.f64 y (+.f64 x (/.f64 y #s(literal 200 binary64)))) #s(literal 200 binary64)))
✓	accuracy	96.6%	(+.f64 (neg.f64 (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)))
✓	accuracy	41.8%	(.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))))))
✓	accuracy	99.8%	(*.f64 #s(literal -1/200 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 200 binary64) y)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y))

Results

138.0ms

256×

valid

Compiler

Compiled 307 to 38 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 44.0ms (45.9% of total)

ival-div: 37.0ms (38.6% of total)

ival-add: 5.0ms (5.2% of total)

ival-sub: 4.0ms (4.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (4.2% of total)

const: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

series34.0ms (0.7%)

Counts

15 → 276

Calls

Call 1

Inputs
#<alt (- x (/ 1 (/ 200 y)))>
#<alt (/ 1 (/ 200 y))>
#<alt (/ 200 y)>
#<alt (* -1/200 y)>
#<alt (* (+ (neg (* x (* x x))) (/ (* y (* y y)) 8000000)) (/ 1 (- 0 (+ (* x x) (/ (* y (+ x (/ y 200))) 200)))))>
#<alt (/ 1 (- 0 (+ (* x x) (/ (* y (+ x (/ y 200))) 200))))>
#<alt (- 0 (+ (* x x) (/ (* y (+ x (/ y 200))) 200)))>
#<alt (+ (neg (* x (* x x))) (/ (* y (* y y)) 8000000))>
#<alt (/ (- (* x (* x (* x x))) (/ (* (* y y) (* y y)) 1600000000)) (* (+ x (/ y 200)) (+ (* x x) (/ y (/ 40000 y)))))>
#<alt (- (* x (* x (* x x))) (/ (* (* y y) (* y y)) 1600000000))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (+ (* x x) (/ (* y (+ x (/ y 200))) 200))>
#<alt (/ (* (* y y) (* y y)) 1600000000)>
#<alt (/ y (/ 40000 y))>

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)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (/ 200 y)>
#<alt (* -1/200 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)) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (* 1/40000 (/ (pow y 2) (pow x 2)))))))>
#<alt (* x (+ 1 (+ (* -1/200 (/ y x)) (+ (* -1/200 (/ (* y (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) (pow x 3))) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (* 1/40000 (/ (pow y 2) (pow x 2))))))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2))) x)) (* -1/200 y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/200 (/ (* y (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) x)) (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) 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 (- (+ (* -200 (/ (pow x 2) (pow y 2))) (+ (* 200 (/ (pow x 2) (pow y 2))) (/ x y))) 1/200))>
#<alt (* y (- (+ (* -200 (/ (* x (+ (* -200 (pow x 2)) (* 200 (pow x 2)))) (pow y 3))) (+ (* -200 (/ (pow x 2) (pow y 2))) (+ (* 200 (/ (pow x 2) (pow y 2))) (/ x y)))) 1/200))>
#<alt (* -1/200 y)>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ (- (+ (* -200 (/ (pow x 2) y)) (* 200 (/ (pow x 2) y))) (* -1 x)) y)))))>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ (- (* -1 (/ (- (* 200 (/ (* x (+ (* -200 (pow x 2)) (* 200 (pow x 2)))) y)) (+ (* -200 (pow x 2)) (* 200 (pow x 2)))) y)) (* -1 x)) y)))))>
#<alt (/ -40000 (pow y 2))>
#<alt (- (* 8000000 (/ x (pow y 3))) (* 40000 (/ 1 (pow y 2))))>
#<alt (- (* x (+ (* -320000000000 (/ (pow x 2) (pow y 5))) (* 8000000 (/ 1 (pow y 3))))) (* 40000 (/ 1 (pow y 2))))>
#<alt (- (* x (+ (* (pow x 2) (- (* 64000000000000 (/ x (pow y 6))) (* 320000000000 (/ 1 (pow y 5))))) (* 8000000 (/ 1 (pow y 3))))) (* 40000 (/ 1 (pow y 2))))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* 1/200 (/ y x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2))) (pow x 2))) (+ 1 (* -1/200 (/ y x)))) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ (* -1/200 (* y (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2))))) (* 1/8000000 (pow y 3))) (pow x 3))) (+ 1 (+ (* -1/200 (/ y x)) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (* 1/40000 (/ (pow y 2) (pow x 2))))))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* 1/200 (/ y x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (+ (* -1/40000 (/ (pow y 2) x)) (* 1/40000 (/ (pow y 2) x))) (* 1/200 y)) x)) 1) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/8000000 (/ (pow y 3) x)) (* 1/200 (/ (* y (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) x))) (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) x)) (* 1/200 y)) x)) 1) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (- (* 1/200 (/ y (pow x 3))) (/ 1 (pow x 2)))>
#<alt (- (* y (+ (* -1/8000000 (/ (pow y 2) (pow x 5))) (* 1/200 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))>
#<alt (- (* y (+ (* (pow y 2) (- (* 1/1600000000 (/ y (pow x 6))) (* 1/8000000 (/ 1 (pow x 5))))) (* 1/200 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))>
#<alt (/ -40000 (pow y 2))>
#<alt (/ (- (* 8000000 (/ x y)) 40000) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ (* -1600000000 (pow x 2)) (* 1600000000 (pow x 2))) (pow y 2))) (+ 40000 (* -8000000 (/ x y)))) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ (* -200 (* x (+ (* -1600000000 (pow x 2)) (* 1600000000 (pow x 2))))) (* 320000000000 (pow x 3))) (pow y 3))) (+ 40000 (+ (* -1600000000 (/ (pow x 2) (pow y 2))) (+ (* -8000000 (/ x y)) (* 1600000000 (/ (pow x 2) (pow y 2))))))) (pow y 2))>
#<alt (/ -40000 (pow y 2))>
#<alt (/ (- (* 8000000 (/ x y)) 40000) (pow y 2))>
#<alt (/ (- (* -1 (/ (- (+ (* -1600000000 (/ (pow x 2) y)) (* 1600000000 (/ (pow x 2) y))) (* 8000000 x)) y)) 40000) (pow y 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -320000000000 (/ (pow x 3) y)) (* 200 (/ (* x (+ (* -1600000000 (pow x 2)) (* 1600000000 (pow x 2)))) y))) (+ (* -1600000000 (pow x 2)) (* 1600000000 (pow x 2)))) y)) (* 8000000 x)) y)) 40000) (pow y 2))>
#<alt (* -1/40000 (pow y 2))>
#<alt (- (* -1/200 (* x y)) (* 1/40000 (pow y 2)))>
#<alt (- (* x (- (* -1 x) (* 1/200 y))) (* 1/40000 (pow y 2)))>
#<alt (- (* x (- (* -1 x) (* 1/200 y))) (* 1/40000 (pow y 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/200 (/ y x)) 1))>
#<alt (* (pow x 2) (- (* -1/40000 (/ (pow y 2) (pow x 2))) (+ 1 (* 1/200 (/ y x)))))>
#<alt (* (pow x 2) (- (* -1/40000 (/ (pow y 2) (pow x 2))) (+ 1 (* 1/200 (/ y x)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/200 (/ y x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/40000 (/ (pow y 2) x)) (* -1/200 y)) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/40000 (/ (pow y 2) x)) (* -1/200 y)) x)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (- (* -1/200 (* x y)) (pow x 2))>
#<alt (- (* y (- (* -1/40000 y) (* 1/200 x))) (pow x 2))>
#<alt (- (* y (- (* -1/40000 y) (* 1/200 x))) (pow x 2))>
#<alt (* -1/40000 (pow y 2))>
#<alt (* (pow y 2) (- (* -1/200 (/ x y)) 1/40000))>
#<alt (* (pow y 2) (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1/40000 (* 1/200 (/ x y)))))>
#<alt (* (pow y 2) (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1/40000 (* 1/200 (/ x y)))))>
#<alt (* -1/40000 (pow y 2))>
#<alt (* (pow y 2) (- (* -1/200 (/ x y)) 1/40000))>
#<alt (* (pow y 2) (- (* -1 (/ (- (/ (pow x 2) y) (* -1/200 x)) y)) 1/40000))>
#<alt (* (pow y 2) (- (* -1 (/ (- (/ (pow x 2) y) (* -1/200 x)) y)) 1/40000))>
#<alt (* 1/8000000 (pow y 3))>
#<alt (+ (* -1 (pow x 3)) (* 1/8000000 (pow y 3)))>
#<alt (+ (* -1 (pow x 3)) (* 1/8000000 (pow y 3)))>
#<alt (+ (* -1 (pow x 3)) (* 1/8000000 (pow y 3)))>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/8000000 (/ (pow y 3) (pow x 3))) 1))>
#<alt (* (pow x 3) (- (* 1/8000000 (/ (pow y 3) (pow x 3))) 1))>
#<alt (* (pow x 3) (- (* 1/8000000 (/ (pow y 3) (pow x 3))) 1))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1 (* -1/8000000 (/ (pow y 3) (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (+ 1 (* -1/8000000 (/ (pow y 3) (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (+ 1 (* -1/8000000 (/ (pow y 3) (pow x 3))))))>
#<alt (* -1 (pow x 3))>
#<alt (- (* 1/8000000 (pow y 3)) (pow x 3))>
#<alt (- (* 1/8000000 (pow y 3)) (pow x 3))>
#<alt (- (* 1/8000000 (pow y 3)) (pow x 3))>
#<alt (* 1/8000000 (pow y 3))>
#<alt (* (pow y 3) (+ 1/8000000 (* -1 (/ (pow x 3) (pow y 3)))))>
#<alt (* (pow y 3) (+ 1/8000000 (* -1 (/ (pow x 3) (pow y 3)))))>
#<alt (* (pow y 3) (+ 1/8000000 (* -1 (/ (pow x 3) (pow y 3)))))>
#<alt (* 1/8000000 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- (/ (pow x 3) (pow y 3)) 1/8000000)))>
#<alt (* -1 (* (pow y 3) (- (/ (pow x 3) (pow y 3)) 1/8000000)))>
#<alt (* -1 (* (pow y 3) (- (/ (pow x 3) (pow y 3)) 1/8000000)))>
#<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 (/ (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2))) (pow x 2)))) (* 1/200 (/ y x))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* -1/200 (* y (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2))))) (+ (* -1/8000000 (pow y 3)) (* 1/8000000 (pow y 3)))) (pow x 3)))) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (+ (* 1/40000 (/ (pow y 2) (pow x 2))) (* 1/200 (/ y x))))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/200 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1/40000 (/ (pow y 2) x)) (* 1/40000 (/ (pow y 2) x))) (* 1/200 y)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/8000000 (/ (pow y 3) x)) (+ (* 1/8000000 (/ (pow y 3) x)) (* 1/200 (/ (* y (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) x)))) (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) 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 (- (* -1 (/ (+ (* -200 (pow x 2)) (* 200 (pow x 2))) (pow y 2))) (+ 1/200 (* -1 (/ x y)))))>
#<alt (* y (- (* -1 (/ (+ (* -40000 (pow x 3)) (+ (* -200 (* x (+ (* -200 (pow x 2)) (* 200 (pow x 2))))) (* 40000 (pow x 3)))) (pow y 3))) (+ 1/200 (+ (* -200 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ x y)) (* 200 (/ (pow x 2) (pow y 2))))))))>
#<alt (* -1/200 y)>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ (- (+ (* -200 (/ (pow x 2) y)) (* 200 (/ (pow x 2) y))) (* -1 x)) y)))))>
#<alt (* -1 (* y (+ 1/200 (* -1 (/ (- (* -1 (/ (- (+ (* -40000 (/ (pow x 3) y)) (+ (* 200 (/ (* x (+ (* -200 (pow x 2)) (* 200 (pow x 2)))) y)) (* 40000 (/ (pow x 3) y)))) (+ (* -200 (pow x 2)) (* 200 (pow x 2)))) y)) (* -1 x)) y)))))>
#<alt (* -1/1600000000 (pow y 4))>
#<alt (- (pow x 4) (* 1/1600000000 (pow y 4)))>
#<alt (- (pow x 4) (* 1/1600000000 (pow y 4)))>
#<alt (- (pow x 4) (* 1/1600000000 (pow y 4)))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))>
#<alt (* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))>
#<alt (pow x 4)>
#<alt (+ (* -1/1600000000 (pow y 4)) (pow x 4))>
#<alt (+ (* -1/1600000000 (pow y 4)) (pow x 4))>
#<alt (+ (* -1/1600000000 (pow y 4)) (pow x 4))>
#<alt (* -1/1600000000 (pow y 4))>
#<alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))>
#<alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))>
#<alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))>
#<alt (* -1/1600000000 (pow y 4))>
#<alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))>
#<alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))>
#<alt (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/40000 (pow y 2))>
#<alt (+ (* 1/40000 (pow y 2)) (* 1/200 (* x y)))>
#<alt (+ (* 1/40000 (pow y 2)) (* x (+ x (* 1/200 y))))>
#<alt (+ (* 1/40000 (pow y 2)) (* x (+ x (* 1/200 y))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/200 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 1/40000 (/ (pow y 2) (pow x 2))) (* 1/200 (/ y x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 1/40000 (/ (pow y 2) (pow x 2))) (* 1/200 (/ y x)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/200 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1/200 y) (* -1/40000 (/ (pow y 2) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1/200 y) (* -1/40000 (/ (pow y 2) x))) x))))>
#<alt (pow x 2)>
#<alt (+ (* 1/200 (* x y)) (pow x 2))>
#<alt (+ (* y (+ (* 1/40000 y) (* 1/200 x))) (pow x 2))>
#<alt (+ (* y (+ (* 1/40000 y) (* 1/200 x))) (pow x 2))>
#<alt (* 1/40000 (pow y 2))>
#<alt (* (pow y 2) (+ 1/40000 (* 1/200 (/ x y))))>
#<alt (* (pow y 2) (+ 1/40000 (+ (* 1/200 (/ x y)) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/40000 (+ (* 1/200 (/ x y)) (/ (pow x 2) (pow y 2)))))>
#<alt (* 1/40000 (pow y 2))>
#<alt (* (pow y 2) (+ 1/40000 (* 1/200 (/ x y))))>
#<alt (* (pow y 2) (+ 1/40000 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* -1/200 x)) y))))>
#<alt (* (pow y 2) (+ 1/40000 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* -1/200 x)) y))))>
#<alt (* 1/1600000000 (pow y 4))>
#<alt (* 1/1600000000 (pow y 4))>
#<alt (* 1/1600000000 (pow y 4))>
#<alt (* 1/1600000000 (pow y 4))>
#<alt (* 1/1600000000 (pow y 4))>
#<alt (* 1/1600000000 (pow y 4))>
#<alt (* 1/1600000000 (pow y 4))>
#<alt (* 1/1600000000 (pow y 4))>
#<alt (* 1/1600000000 (pow y 4))>
#<alt (* 1/1600000000 (pow y 4))>
#<alt (* 1/1600000000 (pow y 4))>
#<alt (* 1/1600000000 (pow y 4))>
#<alt (* 1/40000 (pow y 2))>
#<alt (* 1/40000 (pow y 2))>
#<alt (* 1/40000 (pow y 2))>
#<alt (* 1/40000 (pow y 2))>
#<alt (* 1/40000 (pow y 2))>
#<alt (* 1/40000 (pow y 2))>
#<alt (* 1/40000 (pow y 2))>
#<alt (* 1/40000 (pow y 2))>
#<alt (* 1/40000 (pow y 2))>
#<alt (* 1/40000 (pow y 2))>
#<alt (* 1/40000 (pow y 2))>
#<alt (* 1/40000 (pow y 2))>

Calls

69 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x (* x (* x x)))
2.0ms	x	@	0	(* (+ (neg (* x (* x x))) (/ (* y (* y y)) 8000000)) (/ 1 (- 0 (+ (* x x) (/ (* y (+ x (/ y 200))) 200)))))
2.0ms	y	@	inf	(* (+ (neg (* x (* x x))) (/ (* y (* y y)) 8000000)) (/ 1 (- 0 (+ (* x x) (/ (* y (+ x (/ y 200))) 200)))))
1.0ms	y	@	0	(* (+ (neg (* x (* x x))) (/ (* y (* y y)) 8000000)) (/ 1 (- 0 (+ (* x x) (/ (* y (+ x (/ y 200))) 200)))))
1.0ms	x	@	0	(/ (- (* x (* x (* x x))) (/ (* (* y y) (* y y)) 1600000000)) (* (+ x (/ y 200)) (+ (* x x) (/ y (/ 40000 y)))))

rewrite477.0ms (9.9%)

Algorithm

1×	batch-egg-rewrite

Rules

5792×	`-lowering-.f32`
5792×	`-lowering-.f64`
3554×	`/-lowering-/.f32`
3554×	`/-lowering-/.f64`
2292×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	124
1	258	111
2	2636	103
0	10673	103

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 600

Calls

Call 1

Inputs
(- x (/ 1 (/ 200 y)))
(/ 1 (/ 200 y))
(/ 200 y)
(* -1/200 y)
(* (+ (neg (* x (* x x))) (/ (* y (* y y)) 8000000)) (/ 1 (- 0 (+ (* x x) (/ (* y (+ x (/ y 200))) 200)))))
(/ 1 (- 0 (+ (* x x) (/ (* y (+ x (/ y 200))) 200))))
(- 0 (+ (* x x) (/ (* y (+ x (/ y 200))) 200)))
(+ (neg (* x (* x x))) (/ (* y (* y y)) 8000000))
(/ (- (* x (* x (* x x))) (/ (* (* y y) (* y y)) 1600000000)) (* (+ x (/ y 200)) (+ (* x x) (/ y (/ 40000 y)))))
(- (* x (* x (* x x))) (/ (* (* y y) (* y y)) 1600000000))
(* x (* x (* x x)))
(* x (* x x))
(+ (* x x) (/ (* y (+ x (/ y 200))) 200))
(/ (* (* y y) (* y y)) 1600000000)
(/ y (/ 40000 y))

Outputs
(+.f64 x (/.f64 y #s(literal -200 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y))))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 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 y #s(literal -200 binary64)) x)
(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 (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y))))) (/.f64 (/.f64 (.f64 y (.f64 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 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (/.f64 y #s(literal 200 binary64)) (+.f64 x (/.f64 y #s(literal 200 binary64)))))) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8000000 binary64)) (+.f64 (.f64 x x) (.f64 (/.f64 y #s(literal 200 binary64)) (+.f64 x (/.f64 y #s(literal 200 binary64)))))))
(-.f64 (/.f64 (*.f64 x 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)))))
(fma.f64 x (/.f64 (.f64 x (.f64 x x)) (.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y))))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 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)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -200 binary64)) x)
(fma.f64 y #s(literal -1/200 binary64) x)
(fma.f64 #s(literal -1/200 binary64) y x)
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y))))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 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)))))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 x (.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y))))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 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)))))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.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)))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 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)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal 200 binary64)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/200 binary64) x)
(fma.f64 #s(literal 1/200 binary64) (-.f64 #s(literal 0 binary64) y) x)
(fma.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (/.f64 (.f64 x x) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 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)))))))
(fma.f64 (/.f64 x (+.f64 x (/.f64 y #s(literal 200 binary64)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 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)))))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))) (/.f64 x (+.f64 x (/.f64 y #s(literal 200 binary64)))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 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)))))))
(fma.f64 (/.f64 x (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 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)))))))
(fma.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (/.f64 x (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 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)))))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))) (/.f64 (.f64 x x) (+.f64 x (/.f64 y #s(literal 200 binary64)))) (neg.f64 (/.f64 (/.f64 (.f64 y (.f64 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)))))))
(neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal -1600000000 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 (.f64 y (.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -200 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (/.f64 y #s(literal 200 binary64)) (+.f64 x (/.f64 y #s(literal 200 binary64))))) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal -8000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (-.f64 (*.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y #s(literal -200 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y))) (.f64 (+.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 (.f64 x x))) (/.f64 (.f64 y (.f64 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 #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 (.f64 x x)))) (/.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1600000000 binary64))) (-.f64 #s(literal 0 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 x (.f64 x x)) (/.f64 (.f64 y (.f64 y y)) #s(literal -8000000 binary64))) (+.f64 (.f64 x x) (.f64 (/.f64 y #s(literal 200 binary64)) (+.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 #s(literal 40000 binary64) y)) (.f64 x (/.f64 y #s(literal -200 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) #s(literal -4096000000000000000000000000 binary64))) (.f64 (.f64 (+.f64 x (/.f64 y #s(literal 200 binary64))) (+.f64 (.f64 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1600000000 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1600000000 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 x x) (/.f64 y (/.f64 #s(literal 40000 binary64) y))) (-.f64 x (/.f64 y #s(literal -200 binary64))))
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(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) #s(literal -40000 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y)) (.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -200 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (.f64 #s(literal -200 binary64) (/.f64 #s(literal 200 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) y) #s(literal -40000 binary64))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (.f64 #s(literal -200 binary64) (/.f64 #s(literal -200 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 40000 binary64) y))
(/.f64 (*.f64 (/.f64 y #s(literal 200 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -200 binary64) y))
(/.f64 (*.f64 (/.f64 y #s(literal 200 binary64)) (-.f64 #s(literal 0 binary64) y)) #s(literal -200 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y #s(literal 200 binary64))) #s(literal -200 binary64))
(pow.f64 (/.f64 #s(literal 200 binary64) y) #s(literal -2 binary64))
(pow.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 40000 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 y #s(literal -200 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 40000 binary64) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 40000 binary64) y)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -200 binary64) y) #s(literal -2 binary64)))
(*.f64 y (/.f64 y #s(literal 40000 binary64)))
(.f64 y (.f64 #s(literal 1/200 binary64) (/.f64 y #s(literal 200 binary64))))
(.f64 (.f64 y y) #s(literal 1/40000 binary64))
(*.f64 (/.f64 y #s(literal 200 binary64)) (/.f64 y #s(literal 200 binary64)))
(*.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -40000 binary64) y)))
(*.f64 (/.f64 y #s(literal 40000 binary64)) y)
(.f64 #s(literal 1/200 binary64) (/.f64 (.f64 y y) #s(literal 200 binary64)))
(*.f64 (/.f64 y #s(literal -200 binary64)) (/.f64 y #s(literal -200 binary64)))
(.f64 (/.f64 (.f64 y y) #s(literal 200 binary64)) #s(literal 1/200 binary64))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 y #s(literal 40000 binary64)))
(.f64 #s(literal 1/40000 binary64) (.f64 y y))
(*.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)))
(*.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64)))
(*.f64 #s(literal 1/40000 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 y #s(literal 200 binary64)) #s(literal 1/200 binary64)) y)
(*.f64 (/.f64 y #s(literal -40000 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) #s(literal 1/40000 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64)) #s(literal 1/40000 binary64))

simplify298.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

3994×	`-lowering-.f32`
3994×	`-lowering-.f64`
1790×	`times-frac`
1694×	`+-lowering-+.f64`
1694×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	405	2355
1	1406	2110
2	5394	2068
0	8176	2068

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(/ 200 y)
(* -1/200 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)) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (* 1/40000 (/ (pow y 2) (pow x 2)))))))
(* x (+ 1 (+ (* -1/200 (/ y x)) (+ (* -1/200 (/ (* y (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) (pow x 3))) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (* 1/40000 (/ (pow y 2) (pow x 2))))))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2))) x)) (* -1/200 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1/200 (/ (* y (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) x)) (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) 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 (- (+ (* -200 (/ (pow x 2) (pow y 2))) (+ (* 200 (/ (pow x 2) (pow y 2))) (/ x y))) 1/200))
(* y (- (+ (* -200 (/ (* x (+ (* -200 (pow x 2)) (* 200 (pow x 2)))) (pow y 3))) (+ (* -200 (/ (pow x 2) (pow y 2))) (+ (* 200 (/ (pow x 2) (pow y 2))) (/ x y)))) 1/200))
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ (- (+ (* -200 (/ (pow x 2) y)) (* 200 (/ (pow x 2) y))) (* -1 x)) y)))))
(* -1 (* y (+ 1/200 (* -1 (/ (- (* -1 (/ (- (* 200 (/ (* x (+ (* -200 (pow x 2)) (* 200 (pow x 2)))) y)) (+ (* -200 (pow x 2)) (* 200 (pow x 2)))) y)) (* -1 x)) y)))))
(/ -40000 (pow y 2))
(- (* 8000000 (/ x (pow y 3))) (* 40000 (/ 1 (pow y 2))))
(- (* x (+ (* -320000000000 (/ (pow x 2) (pow y 5))) (* 8000000 (/ 1 (pow y 3))))) (* 40000 (/ 1 (pow y 2))))
(- (* x (+ (* (pow x 2) (- (* 64000000000000 (/ x (pow y 6))) (* 320000000000 (/ 1 (pow y 5))))) (* 8000000 (/ 1 (pow y 3))))) (* 40000 (/ 1 (pow y 2))))
(/ -1 (pow x 2))
(/ (- (* 1/200 (/ y x)) 1) (pow x 2))
(/ (- (* -1 (/ (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2))) (pow x 2))) (+ 1 (* -1/200 (/ y x)))) (pow x 2))
(/ (- (* -1 (/ (+ (* -1/200 (* y (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2))))) (* 1/8000000 (pow y 3))) (pow x 3))) (+ 1 (+ (* -1/200 (/ y x)) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (* 1/40000 (/ (pow y 2) (pow x 2))))))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (* 1/200 (/ y x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (+ (* -1/40000 (/ (pow y 2) x)) (* 1/40000 (/ (pow y 2) x))) (* 1/200 y)) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/8000000 (/ (pow y 3) x)) (* 1/200 (/ (* y (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) x))) (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) x)) (* 1/200 y)) x)) 1) (pow x 2))
(/ -1 (pow x 2))
(- (* 1/200 (/ y (pow x 3))) (/ 1 (pow x 2)))
(- (* y (+ (* -1/8000000 (/ (pow y 2) (pow x 5))) (* 1/200 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))
(- (* y (+ (* (pow y 2) (- (* 1/1600000000 (/ y (pow x 6))) (* 1/8000000 (/ 1 (pow x 5))))) (* 1/200 (/ 1 (pow x 3))))) (/ 1 (pow x 2)))
(/ -40000 (pow y 2))
(/ (- (* 8000000 (/ x y)) 40000) (pow y 2))
(/ (- (* -1 (/ (+ (* -1600000000 (pow x 2)) (* 1600000000 (pow x 2))) (pow y 2))) (+ 40000 (* -8000000 (/ x y)))) (pow y 2))
(/ (- (* -1 (/ (+ (* -200 (* x (+ (* -1600000000 (pow x 2)) (* 1600000000 (pow x 2))))) (* 320000000000 (pow x 3))) (pow y 3))) (+ 40000 (+ (* -1600000000 (/ (pow x 2) (pow y 2))) (+ (* -8000000 (/ x y)) (* 1600000000 (/ (pow x 2) (pow y 2))))))) (pow y 2))
(/ -40000 (pow y 2))
(/ (- (* 8000000 (/ x y)) 40000) (pow y 2))
(/ (- (* -1 (/ (- (+ (* -1600000000 (/ (pow x 2) y)) (* 1600000000 (/ (pow x 2) y))) (* 8000000 x)) y)) 40000) (pow y 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -320000000000 (/ (pow x 3) y)) (* 200 (/ (* x (+ (* -1600000000 (pow x 2)) (* 1600000000 (pow x 2)))) y))) (+ (* -1600000000 (pow x 2)) (* 1600000000 (pow x 2)))) y)) (* 8000000 x)) y)) 40000) (pow y 2))
(* -1/40000 (pow y 2))
(- (* -1/200 (* x y)) (* 1/40000 (pow y 2)))
(- (* x (- (* -1 x) (* 1/200 y))) (* 1/40000 (pow y 2)))
(- (* x (- (* -1 x) (* 1/200 y))) (* 1/40000 (pow y 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/200 (/ y x)) 1))
(* (pow x 2) (- (* -1/40000 (/ (pow y 2) (pow x 2))) (+ 1 (* 1/200 (/ y x)))))
(* (pow x 2) (- (* -1/40000 (/ (pow y 2) (pow x 2))) (+ 1 (* 1/200 (/ y x)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/200 (/ y x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* 1/40000 (/ (pow y 2) x)) (* -1/200 y)) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (* 1/40000 (/ (pow y 2) x)) (* -1/200 y)) x)) 1))
(* -1 (pow x 2))
(- (* -1/200 (* x y)) (pow x 2))
(- (* y (- (* -1/40000 y) (* 1/200 x))) (pow x 2))
(- (* y (- (* -1/40000 y) (* 1/200 x))) (pow x 2))
(* -1/40000 (pow y 2))
(* (pow y 2) (- (* -1/200 (/ x y)) 1/40000))
(* (pow y 2) (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1/40000 (* 1/200 (/ x y)))))
(* (pow y 2) (- (* -1 (/ (pow x 2) (pow y 2))) (+ 1/40000 (* 1/200 (/ x y)))))
(* -1/40000 (pow y 2))
(* (pow y 2) (- (* -1/200 (/ x y)) 1/40000))
(* (pow y 2) (- (* -1 (/ (- (/ (pow x 2) y) (* -1/200 x)) y)) 1/40000))
(* (pow y 2) (- (* -1 (/ (- (/ (pow x 2) y) (* -1/200 x)) y)) 1/40000))
(* 1/8000000 (pow y 3))
(+ (* -1 (pow x 3)) (* 1/8000000 (pow y 3)))
(+ (* -1 (pow x 3)) (* 1/8000000 (pow y 3)))
(+ (* -1 (pow x 3)) (* 1/8000000 (pow y 3)))
(* -1 (pow x 3))
(* (pow x 3) (- (* 1/8000000 (/ (pow y 3) (pow x 3))) 1))
(* (pow x 3) (- (* 1/8000000 (/ (pow y 3) (pow x 3))) 1))
(* (pow x 3) (- (* 1/8000000 (/ (pow y 3) (pow x 3))) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (* -1/8000000 (/ (pow y 3) (pow x 3))))))
(* -1 (* (pow x 3) (+ 1 (* -1/8000000 (/ (pow y 3) (pow x 3))))))
(* -1 (* (pow x 3) (+ 1 (* -1/8000000 (/ (pow y 3) (pow x 3))))))
(* -1 (pow x 3))
(- (* 1/8000000 (pow y 3)) (pow x 3))
(- (* 1/8000000 (pow y 3)) (pow x 3))
(- (* 1/8000000 (pow y 3)) (pow x 3))
(* 1/8000000 (pow y 3))
(* (pow y 3) (+ 1/8000000 (* -1 (/ (pow x 3) (pow y 3)))))
(* (pow y 3) (+ 1/8000000 (* -1 (/ (pow x 3) (pow y 3)))))
(* (pow y 3) (+ 1/8000000 (* -1 (/ (pow x 3) (pow y 3)))))
(* 1/8000000 (pow y 3))
(* -1 (* (pow y 3) (- (/ (pow x 3) (pow y 3)) 1/8000000)))
(* -1 (* (pow y 3) (- (/ (pow x 3) (pow y 3)) 1/8000000)))
(* -1 (* (pow y 3) (- (/ (pow x 3) (pow y 3)) 1/8000000)))
(* -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 (/ (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2))) (pow x 2)))) (* 1/200 (/ y x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1/200 (* y (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2))))) (+ (* -1/8000000 (pow y 3)) (* 1/8000000 (pow y 3)))) (pow x 3)))) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (+ (* 1/40000 (/ (pow y 2) (pow x 2))) (* 1/200 (/ y x))))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1/40000 (/ (pow y 2) x)) (* 1/40000 (/ (pow y 2) x))) (* 1/200 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/8000000 (/ (pow y 3) x)) (+ (* 1/8000000 (/ (pow y 3) x)) (* 1/200 (/ (* y (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) x)))) (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) 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 (- (* -1 (/ (+ (* -200 (pow x 2)) (* 200 (pow x 2))) (pow y 2))) (+ 1/200 (* -1 (/ x y)))))
(* y (- (* -1 (/ (+ (* -40000 (pow x 3)) (+ (* -200 (* x (+ (* -200 (pow x 2)) (* 200 (pow x 2))))) (* 40000 (pow x 3)))) (pow y 3))) (+ 1/200 (+ (* -200 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ x y)) (* 200 (/ (pow x 2) (pow y 2))))))))
(* -1/200 y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(* -1 (* y (+ 1/200 (* -1 (/ (- (+ (* -200 (/ (pow x 2) y)) (* 200 (/ (pow x 2) y))) (* -1 x)) y)))))
(* -1 (* y (+ 1/200 (* -1 (/ (- (* -1 (/ (- (+ (* -40000 (/ (pow x 3) y)) (+ (* 200 (/ (* x (+ (* -200 (pow x 2)) (* 200 (pow x 2)))) y)) (* 40000 (/ (pow x 3) y)))) (+ (* -200 (pow x 2)) (* 200 (pow x 2)))) y)) (* -1 x)) y)))))
(* -1/1600000000 (pow y 4))
(- (pow x 4) (* 1/1600000000 (pow y 4)))
(- (pow x 4) (* 1/1600000000 (pow y 4)))
(- (pow x 4) (* 1/1600000000 (pow y 4)))
(pow x 4)
(* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))
(pow x 4)
(* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))
(* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))
(pow x 4)
(+ (* -1/1600000000 (pow y 4)) (pow x 4))
(+ (* -1/1600000000 (pow y 4)) (pow x 4))
(+ (* -1/1600000000 (pow y 4)) (pow x 4))
(* -1/1600000000 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))
(* -1/1600000000 (pow y 4))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/40000 (pow y 2))
(+ (* 1/40000 (pow y 2)) (* 1/200 (* x y)))
(+ (* 1/40000 (pow y 2)) (* x (+ x (* 1/200 y))))
(+ (* 1/40000 (pow y 2)) (* x (+ x (* 1/200 y))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/200 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 1/40000 (/ (pow y 2) (pow x 2))) (* 1/200 (/ y x)))))
(* (pow x 2) (+ 1 (+ (* 1/40000 (/ (pow y 2) (pow x 2))) (* 1/200 (/ y x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/200 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1/200 y) (* -1/40000 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1/200 y) (* -1/40000 (/ (pow y 2) x))) x))))
(pow x 2)
(+ (* 1/200 (* x y)) (pow x 2))
(+ (* y (+ (* 1/40000 y) (* 1/200 x))) (pow x 2))
(+ (* y (+ (* 1/40000 y) (* 1/200 x))) (pow x 2))
(* 1/40000 (pow y 2))
(* (pow y 2) (+ 1/40000 (* 1/200 (/ x y))))
(* (pow y 2) (+ 1/40000 (+ (* 1/200 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/40000 (+ (* 1/200 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* 1/40000 (pow y 2))
(* (pow y 2) (+ 1/40000 (* 1/200 (/ x y))))
(* (pow y 2) (+ 1/40000 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* -1/200 x)) y))))
(* (pow y 2) (+ 1/40000 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* -1/200 x)) y))))
(* 1/1600000000 (pow y 4))
(* 1/1600000000 (pow y 4))
(* 1/1600000000 (pow y 4))
(* 1/1600000000 (pow y 4))
(* 1/1600000000 (pow y 4))
(* 1/1600000000 (pow y 4))
(* 1/1600000000 (pow y 4))
(* 1/1600000000 (pow y 4))
(* 1/1600000000 (pow y 4))
(* 1/1600000000 (pow y 4))
(* 1/1600000000 (pow y 4))
(* 1/1600000000 (pow y 4))
(* 1/40000 (pow y 2))
(* 1/40000 (pow y 2))
(* 1/40000 (pow y 2))
(* 1/40000 (pow y 2))
(* 1/40000 (pow y 2))
(* 1/40000 (pow y 2))
(* 1/40000 (pow y 2))
(* 1/40000 (pow y 2))
(* 1/40000 (pow y 2))
(* 1/40000 (pow y 2))
(* 1/40000 (pow y 2))
(* 1/40000 (pow y 2))

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 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal -1/200 binary64) x))))
(* x (+ 1 (* -1/200 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal -1/200 binary64) x))))
(* x (+ 1 (* -1/200 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal -1/200 binary64) x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(.f64 x (.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -1/200 binary64) x)))))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(.f64 x (.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -1/200 binary64) x)))))
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(.f64 x (.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -1/200 binary64) 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 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (/ x y) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (/ x y) 1/200))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
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(.f64 y (.f64 (*.f64 y y) #s(literal 1/8000000 binary64)))
(* -1 (* (pow y 3) (- (/ (pow x 3) (pow y 3)) 1/8000000)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1/8000000 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
(* -1 (* (pow y 3) (- (/ (pow x 3) (pow y 3)) 1/8000000)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1/8000000 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))))
(* -1 (* (pow y 3) (- (/ (pow x 3) (pow y 3)) 1/8000000)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal -1/8000000 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y 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 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal -1/200 binary64) x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2))) (pow x 2)))) (* 1/200 (/ y x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal -1/200 binary64) x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1/200 (* y (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2))))) (+ (* -1/8000000 (pow y 3)) (* 1/8000000 (pow y 3)))) (pow x 3)))) (+ (* -1/40000 (/ (pow y 2) (pow x 2))) (+ (* 1/40000 (/ (pow y 2) (pow x 2))) (* 1/200 (/ y x))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal -1/200 binary64) x))))
x
(* -1 (* x (- (* 1/200 (/ y x)) 1)))
(.f64 x (.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -1/200 binary64) x)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1/40000 (/ (pow y 2) x)) (* 1/40000 (/ (pow y 2) x))) (* 1/200 y)) x)) 1)))
(.f64 x (.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -1/200 binary64) x)))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/8000000 (/ (pow y 3) x)) (+ (* 1/8000000 (/ (pow y 3) x)) (* 1/200 (/ (* y (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) x)))) (+ (* -1/40000 (pow y 2)) (* 1/40000 (pow y 2)))) x)) (* 1/200 y)) x)) 1)))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/200 binary64) y) (/.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 y (*.f64 y y)) x) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) 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 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (* -1 (/ (+ (* -200 (pow x 2)) (* 200 (pow x 2))) (pow y 2))) (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* y (- (* -1 (/ (+ (* -40000 (pow x 3)) (+ (* -200 (* x (+ (* -200 (pow x 2)) (* 200 (pow x 2))))) (* 40000 (pow x 3)))) (pow y 3))) (+ 1/200 (+ (* -200 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ x y)) (* 200 (/ (pow x 2) (pow y 2))))))))
(.f64 y (+.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -40000 binary64)) (+.f64 (.f64 x #s(literal 0 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 40000 binary64)))) (.f64 #s(literal -1 binary64) (.f64 y (*.f64 y y)))) (+.f64 #s(literal -1/200 binary64) (/.f64 x y))))
(* -1/200 y)
(*.f64 #s(literal -1/200 binary64) y)
(* -1 (* y (+ 1/200 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1 (* y (+ 1/200 (* -1 (/ (- (+ (* -200 (/ (pow x 2) y)) (* 200 (/ (pow x 2) y))) (* -1 x)) y)))))
(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
(* -1 (* y (+ 1/200 (* -1 (/ (- (* -1 (/ (- (+ (* -40000 (/ (pow x 3) y)) (+ (* 200 (/ (* x (+ (* -200 (pow x 2)) (* 200 (pow x 2)))) y)) (* 40000 (/ (pow x 3) y)))) (+ (* -200 (pow x 2)) (* 200 (pow x 2)))) y)) (* -1 x)) y)))))
(.f64 (+.f64 #s(literal 1/200 binary64) (/.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -40000 binary64)) y) (+.f64 (.f64 x #s(literal 0 binary64)) (/.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 40000 binary64)) y))) y) x)) y)) (neg.f64 y))
(* -1/1600000000 (pow y 4))
(*.f64 #s(literal -1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)))
(- (pow x 4) (* 1/1600000000 (pow y 4)))
(+.f64 (*.f64 #s(literal -1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(- (pow x 4) (* 1/1600000000 (pow y 4)))
(+.f64 (*.f64 #s(literal -1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(- (pow x 4) (* 1/1600000000 (pow y 4)))
(+.f64 (*.f64 #s(literal -1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 4) (+ 1 (* -1/1600000000 (/ (pow y 4) (pow x 4)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* -1/1600000000 (pow y 4)) (pow x 4))
(+.f64 (*.f64 #s(literal -1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(+ (* -1/1600000000 (pow y 4)) (pow x 4))
(+.f64 (*.f64 #s(literal -1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(+ (* -1/1600000000 (pow y 4)) (pow x 4))
(+.f64 (*.f64 #s(literal -1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -1/1600000000 (pow y 4))
(*.f64 #s(literal -1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal -1/1600000000 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal -1/1600000000 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal -1/1600000000 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(* -1/1600000000 (pow y 4))
(*.f64 #s(literal -1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal -1/1600000000 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal -1/1600000000 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1/1600000000))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 #s(literal -1/1600000000 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/40000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/40000 binary64)))
(+ (* 1/40000 (pow y 2)) (* 1/200 (* x y)))
(.f64 y (+.f64 (.f64 x #s(literal 1/200 binary64)) (*.f64 y #s(literal 1/40000 binary64))))
(+ (* 1/40000 (pow y 2)) (* x (+ x (* 1/200 y))))
(+.f64 (.f64 x x) (.f64 y (+.f64 (.f64 x #s(literal 1/200 binary64)) (.f64 y #s(literal 1/40000 binary64)))))
(+ (* 1/40000 (pow y 2)) (* x (+ x (* 1/200 y))))
(+.f64 (.f64 x x) (.f64 y (+.f64 (.f64 x #s(literal 1/200 binary64)) (.f64 y #s(literal 1/40000 binary64)))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/200 (/ y x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/200 binary64)) x)))
(* (pow x 2) (+ 1 (+ (* 1/40000 (/ (pow y 2) (pow x 2))) (* 1/200 (/ y x)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y #s(literal 1/200 binary64)) (.f64 #s(literal 1/40000 binary64) (/.f64 (*.f64 y y) x))) x)))
(* (pow x 2) (+ 1 (+ (* 1/40000 (/ (pow y 2) (pow x 2))) (* 1/200 (/ y x)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y #s(literal 1/200 binary64)) (.f64 #s(literal 1/40000 binary64) (/.f64 (*.f64 y y) x))) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/200 (/ y x))))
(.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/200 binary64)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1/200 y) (* -1/40000 (/ (pow y 2) x))) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/200 binary64) y) (/.f64 (.f64 y (*.f64 y #s(literal -1/40000 binary64))) x)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1/200 y) (* -1/40000 (/ (pow y 2) x))) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/200 binary64) y) (/.f64 (.f64 y (*.f64 y #s(literal -1/40000 binary64))) x)) x)))
(pow x 2)
(*.f64 x x)
(+ (* 1/200 (* x y)) (pow x 2))
(.f64 x (+.f64 x (.f64 y #s(literal 1/200 binary64))))
(+ (* y (+ (* 1/40000 y) (* 1/200 x))) (pow x 2))
(+.f64 (.f64 x x) (.f64 y (+.f64 (.f64 x #s(literal 1/200 binary64)) (.f64 y #s(literal 1/40000 binary64)))))
(+ (* y (+ (* 1/40000 y) (* 1/200 x))) (pow x 2))
(+.f64 (.f64 x x) (.f64 y (+.f64 (.f64 x #s(literal 1/200 binary64)) (.f64 y #s(literal 1/40000 binary64)))))
(* 1/40000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/40000 binary64)))
(* (pow y 2) (+ 1/40000 (* 1/200 (/ x y))))
(.f64 y (.f64 y (+.f64 #s(literal 1/40000 binary64) (*.f64 #s(literal 1/200 binary64) (/.f64 x y)))))
(* (pow y 2) (+ 1/40000 (+ (* 1/200 (/ x y)) (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (+.f64 #s(literal 1/40000 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) y) (.f64 x #s(literal 1/200 binary64))) y)))
(* (pow y 2) (+ 1/40000 (+ (* 1/200 (/ x y)) (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 y y) (+.f64 #s(literal 1/40000 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) y) (.f64 x #s(literal 1/200 binary64))) y)))
(* 1/40000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/40000 binary64)))
(* (pow y 2) (+ 1/40000 (* 1/200 (/ x y))))
(.f64 y (.f64 y (+.f64 #s(literal 1/40000 binary64) (*.f64 #s(literal 1/200 binary64) (/.f64 x y)))))
(* (pow y 2) (+ 1/40000 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* -1/200 x)) y))))
(.f64 (.f64 y y) (-.f64 #s(literal 1/40000 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/200 binary64) x) (/.f64 (.f64 x x) y)) y)))
(* (pow y 2) (+ 1/40000 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* -1/200 x)) y))))
(.f64 (.f64 y y) (-.f64 #s(literal 1/40000 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/200 binary64) x) (/.f64 (.f64 x x) y)) y)))
(* 1/1600000000 (pow y 4))
(*.f64 #s(literal 1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 1/1600000000 (pow y 4))
(*.f64 #s(literal 1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 1/1600000000 (pow y 4))
(*.f64 #s(literal 1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 1/1600000000 (pow y 4))
(*.f64 #s(literal 1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 1/1600000000 (pow y 4))
(*.f64 #s(literal 1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 1/1600000000 (pow y 4))
(*.f64 #s(literal 1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 1/1600000000 (pow y 4))
(*.f64 #s(literal 1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 1/1600000000 (pow y 4))
(*.f64 #s(literal 1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 1/1600000000 (pow y 4))
(*.f64 #s(literal 1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 1/1600000000 (pow y 4))
(*.f64 #s(literal 1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 1/1600000000 (pow y 4))
(*.f64 #s(literal 1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 1/1600000000 (pow y 4))
(*.f64 #s(literal 1/1600000000 binary64) (pow.f64 y #s(literal 4 binary64)))
(* 1/40000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/40000 binary64)))
(* 1/40000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/40000 binary64)))
(* 1/40000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/40000 binary64)))
(* 1/40000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/40000 binary64)))
(* 1/40000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/40000 binary64)))
(* 1/40000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/40000 binary64)))
(* 1/40000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/40000 binary64)))
(* 1/40000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/40000 binary64)))
(* 1/40000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/40000 binary64)))
(* 1/40000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/40000 binary64)))
(* 1/40000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/40000 binary64)))
(* 1/40000 (pow y 2))
(.f64 y (.f64 y #s(literal 1/40000 binary64)))

eval230.0ms (4.8%)

Compiler: Compiled 31477 to 2095 computations (93.3% saved)

prune169.0ms (3.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	894	3	897
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	896	7	903

Accuracy

100.0%

Counts

903 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.4%	(/.f64 y #s(literal -200 binary64))
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	99.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
▶	87.1%	(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
▶	88.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal -1/200 binary64) x))))
✓	51.3%	(*.f64 #s(literal -1/200 binary64) y)
✓	49.4%	x

Compiler

Compiled 49 to 36 computations (26.5% saved)

simplify349.0ms (7.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y #s(literal -200 binary64))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 #s(literal -1/200 binary64) (/.f64 x y))
✓	cost-diff	128	(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
✓	cost-diff	0	(/.f64 #s(literal -1/200 binary64) x)
✓	cost-diff	0	(*.f64 y (/.f64 #s(literal -1/200 binary64) x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal -1/200 binary64) x)))
✓	cost-diff	256	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal -1/200 binary64) x))))

Rules

7440×	`-lowering-.f32`
7440×	`-lowering-.f64`
3096×	`/-lowering-/.f32`
3096×	`/-lowering-/.f64`
2798×	`cube-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	33	50
2	62	50
3	145	42
4	243	42
5	688	42
6	2604	42
7	2890	42
8	3348	42
9	3934	42
10	4563	42
11	5402	42
12	5818	42
13	6174	42
14	6544	42
15	6889	42
16	7085	42
0	8070	42

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize57.0ms (1.2%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y #s(literal -200 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal -1/200 binary64) (/.f64 x y))
✓	accuracy	87.2%	(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 #s(literal -1/200 binary64) x)))
✓	accuracy	99.8%	(/.f64 #s(literal -1/200 binary64) x)
✓	accuracy	99.7%	(*.f64 y (/.f64 #s(literal -1/200 binary64) x))
✓	accuracy	88.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal -1/200 binary64) x))))

Results

42.0ms

256×

valid

Compiler

Compiled 54 to 14 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (38.5% of total)

ival-div: 6.0ms (28.9% of total)

...c/correct-round.rkt:119:19: 4.0ms (19.3% of total)

ival-add: 2.0ms (9.6% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Counts

8 → 168

Calls

Call 1

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

42 calls:

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

rewrite233.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3210×	`-lowering-.f32`
3210×	`-lowering-.f64`
2452×	`/-lowering-/.f32`
2452×	`/-lowering-/.f64`
1218×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	80	40
2	598	37
3	6514	37
0	8014	37

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 334

Calls

Call 1

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

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

simplify156.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1734×	`fnmadd-define`
1354×	`fma-lowering-fma.f32`
1354×	`fma-lowering-fma.f64`
1284×	`-lowering-.f32`
1284×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	714
1	103	660
2	293	660
3	865	660
4	2124	660
5	4573	660
0	8114	660

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

eval55.0ms (1.1%)

Compiler: Compiled 8191 to 1027 computations (87.5% saved)

prune45.0ms (0.9%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	502	0	502
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	502	7	509

Accuracy

100.0%

Counts

509 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(/.f64 y #s(literal -200 binary64))
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	99.8%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 200 binary64) y)))
✓	87.1%	(*.f64 y (+.f64 #s(literal -1/200 binary64) (/.f64 x y)))
✓	88.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 #s(literal -1/200 binary64) x))))
✓	51.3%	(*.f64 #s(literal -1/200 binary64) y)
✓	49.4%	x

Compiler

Compiled 151 to 83 computations (45% saved)

regimes16.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
3.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
3.0ms	(/.f64 y #s(literal 200 binary64))
3.0ms	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 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
79.6%	3	`x`
78.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.5%	3	`x`

Compiler

Compiled 3 to 2 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
49.4%	1	`y`
49.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch19.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.0117265118257957e-56	2.2801155700052944e-41
4.0ms	-2.1589194832303666e+96	-1.825032012988432e+96

Results

8.0ms

208×

valid

Compiler

Compiled 142 to 113 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 2.0ms (62.4% of total)

ival-sub: 1.0ms (31.2% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.0117265118257957e-56	2.2801155700052944e-41
3.0ms	-2.1589194832303666e+96	-1.825032012988432e+96

Results

8.0ms

208×

valid

Compiler

Compiled 142 to 113 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 2.0ms (64.7% of total)

ival-sub: 1.0ms (32.4% of total)

const: 0.0ms (0% of total)

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

simplify23.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	32
1	28	32
2	37	32
3	43	32
4	48	32
5	50	32

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(if (<=.f64 x #s(literal -1849999999999999955887295562167900350671804751830274692402817979373850325468464830742747714420736 binary64)) x (if (<=.f64 x #s(literal 5523849527140279/25108406941546723055343157692830665664409421777856138051584 binary64)) (/.f64 y #s(literal -200 binary64)) x))
(if (<=.f64 x #s(literal -1849999999999999955887295562167900350671804751830274692402817979373850325468464830742747714420736 binary64)) x (if (<=.f64 x #s(literal 41377379603379/3064991081731777716716694054300618367237478244367204352 binary64)) (*.f64 #s(literal -1/200 binary64) y) x))
x

Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(if (<=.f64 x #s(literal -1849999999999999955887295562167900350671804751830274692402817979373850325468464830742747714420736 binary64)) x (if (<=.f64 x #s(literal 5523849527140279/25108406941546723055343157692830665664409421777856138051584 binary64)) (/.f64 y #s(literal -200 binary64)) x))
(if (<=.f64 x #s(literal -1849999999999999955887295562167900350671804751830274692402817979373850325468464830742747714420736 binary64)) x (if (<=.f64 x #s(literal 41377379603379/3064991081731777716716694054300618367237478244367204352 binary64)) (*.f64 #s(literal -1/200 binary64) y) x))
(if (<=.f64 x #s(literal -1849999999999999955887295562167900350671804751830274692402817979373850325468464830742747714420736 binary64)) x (if (<=.f64 x #s(literal 41377379603379/3064991081731777716716694054300618367237478244367204352 binary64)) (*.f64 y #s(literal -1/200 binary64)) x))
x

soundness839.0ms (17.5%)

Rules

5792×	`-lowering-.f32`
5792×	`-lowering-.f64`
3554×	`/-lowering-/.f32`
3554×	`/-lowering-/.f64`
2292×	`+-lowering-+.f64`

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	8139	120
0	37	124
1	258	111
2	2636	103
0	10673	103

Stop Event

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

Compiler

Compiled 58 to 37 computations (36.2% saved)

preprocess30.0ms (0.6%)

Compiler: Compiled 82 to 48 computations (41.5% saved)

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

analyze0.0ms (0%)

sample593.0ms (12.4%)

preprocess78.0ms (1.6%)

explain53.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.4%)

localize43.0ms (0.9%)

series3.0ms (0.1%)

rewrite238.0ms (5%)

simplify156.0ms (3.2%)

eval37.0ms (0.8%)

prune17.0ms (0.3%)

simplify258.0ms (5.4%)

localize234.0ms (4.9%)

series34.0ms (0.7%)

rewrite477.0ms (9.9%)

simplify298.0ms (6.2%)

eval230.0ms (4.8%)

prune169.0ms (3.5%)

simplify349.0ms (7.3%)

localize57.0ms (1.2%)

series11.0ms (0.2%)

rewrite233.0ms (4.9%)

simplify156.0ms (3.2%)

eval55.0ms (1.1%)

prune45.0ms (0.9%)

regimes16.0ms (0.3%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch19.0ms (0.4%)

bsearch19.0ms (0.4%)

simplify23.0ms (0.5%)

soundness839.0ms (17.5%)

preprocess30.0ms (0.6%)

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	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	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