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)

sample610.0ms (15.8%)

Results

445.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-div: 94.0ms (56.4% of total)

ival-sub: 59.0ms (35.4% of total)

const: 10.0ms (6% of total)

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

Bogosity

preprocess48.0ms (1.3%)

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)

explain89.0ms (2.3%)

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

54.0ms

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 (60.4% of total)

ival-sub: 3.0ms (36.2% of total)

const: 1.0ms (12.1% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify23.0ms (0.6%)

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)

localize24.0ms (0.6%)

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

18.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-sub: 3.0ms (54.8% of total)

ival-div: 2.0ms (36.5% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.2%)

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
4.0ms	y	@	inf	(/ y 200)
1.0ms	y	@	-inf	(/ y 200)
0.0ms	y	@	inf	(- x (/ y 200))
0.0ms	x	@	inf	(- x (/ y 200))
0.0ms	y	@	0	(- x (/ y 200))

rewrite410.0ms (10.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 113

Calls

Call 1

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

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

simplify150.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval40.0ms (1%)

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

prune20.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Accuracy

100.0%

Counts

150 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.0%	(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (*.f64 x x)) (-.f64 (/.f64 y #s(literal -200 binary64)) x))
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
▶	54.0%	(*.f64 #s(literal -1/200 binary64) y)
▶	47.8%	x

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify144.0ms (3.7%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal 40000 binary64) y)
✓	cost-diff	(/.f64 y (/.f64 #s(literal 40000 binary64) y))
✓	cost-diff	(-.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (*.f64 x x))
✓	cost-diff	(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (*.f64 x x)) (-.f64 (/.f64 y #s(literal -200 binary64)) x))
✓	cost-diff	(*.f64 #s(literal -1/200 binary64) y)

Rules

2214×	`fnmadd-define`
1588×	`fma-lowering-fma.f32`
1588×	`fma-lowering-fma.f64`
1402×	`fmsub-define`
1392×	`fnmsub-define`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	26	48
2	49	47
3	93	47
4	183	47
5	484	47
6	1451	47
7	3560	45
8	6487	45
0	8018	45

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
x
(* -1/200 y)
-1/200
y
(/ (- (/ y (/ 40000 y)) (* x x)) (- (/ y -200) x))
(- (/ y (/ 40000 y)) (* x x))
(/ y (/ 40000 y))
y
(/ 40000 y)
40000
(* x x)
x
(- (/ y -200) x)
(/ y -200)
-200

Outputs
x
(* -1/200 y)
(/.f64 y #s(literal -200 binary64))
-1/200
#s(literal -1/200 binary64)
y
(/ (- (/ y (/ 40000 y)) (* x x)) (- (/ y -200) x))
(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (*.f64 x x)) (-.f64 (/.f64 y #s(literal -200 binary64)) x))
(- (/ y (/ 40000 y)) (* x x))
(-.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (*.f64 x x))
(/ y (/ 40000 y))
(/.f64 y (/.f64 #s(literal 40000 binary64) y))
y
(/ 40000 y)
(/.f64 #s(literal 40000 binary64) y)
40000
#s(literal 40000 binary64)
(* x x)
(*.f64 x x)
x
(- (/ y -200) x)
(-.f64 (/.f64 y #s(literal -200 binary64)) x)
(/ y -200)
(/.f64 y #s(literal -200 binary64))
-200
#s(literal -200 binary64)

localize68.0ms (1.8%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (/.f64 y #s(literal -200 binary64)) x)
✓	accuracy	99.8%	(/.f64 y (/.f64 #s(literal 40000 binary64) y))
✓	accuracy	96.1%	(-.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (*.f64 x x))
✓	accuracy	56.4%	(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (*.f64 x x)) (-.f64 (/.f64 y #s(literal -200 binary64)) x))
✓	accuracy	99.7%	(*.f64 #s(literal -1/200 binary64) y)

Results

49.0ms

256×

valid

Compiler

Compiled 56 to 14 computations (75% saved)

Precisions

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

ival-div: 9.0ms (43.9% of total)

ival-mult: 4.0ms (19.5% of total)

...c/correct-round.rkt:119:19: 4.0ms (19.5% of total)

ival-sub: 3.0ms (14.6% of total)

const: 1.0ms (4.9% of total)

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

series7.0ms (0.2%)

Counts

6 → 108

Calls

Call 1

Inputs
#<alt (* -1/200 y)>
#<alt (/ (- (/ y (/ 40000 y)) (* x x)) (- (/ y -200) x))>
#<alt (- (/ y (/ 40000 y)) (* x x))>
#<alt (/ y (/ 40000 y))>
#<alt (/ 40000 y)>
#<alt (- (/ y -200) x)>

Outputs
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt (* -1/200 y)>
#<alt 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 (pow x 2))>
#<alt (- (* 1/40000 (pow y 2)) (pow x 2))>
#<alt (- (* 1/40000 (pow y 2)) (pow x 2))>
#<alt (- (* 1/40000 (pow y 2)) (pow x 2))>
#<alt (* 1/40000 (pow y 2))>
#<alt (* (pow y 2) (+ 1/40000 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/40000 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/40000 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* 1/40000 (pow y 2))>
#<alt (* (pow y 2) (+ 1/40000 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/40000 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1/40000 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* 1/40000 (pow y 2))>
#<alt (+ (* -1 (pow x 2)) (* 1/40000 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (* 1/40000 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (* 1/40000 (pow y 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/40000 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 1/40000 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 1/40000 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/40000 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 1/40000 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 1/40000 (/ (pow y 2) (pow x 2))) 1))>
#<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))>
#<alt (/ 40000 y)>
#<alt (/ 40000 y)>
#<alt (/ 40000 y)>
#<alt (/ 40000 y)>
#<alt (/ 40000 y)>
#<alt (/ 40000 y)>
#<alt (/ 40000 y)>
#<alt (/ 40000 y)>
#<alt (/ 40000 y)>
#<alt (/ 40000 y)>
#<alt (/ 40000 y)>
#<alt (/ 40000 y)>
#<alt (* -1 x)>
#<alt (- (* -1/200 y) x)>
#<alt (- (* -1/200 y) x)>
#<alt (- (* -1/200 y) x)>
#<alt (* -1/200 y)>
#<alt (* y (- (* -1 (/ x y)) 1/200))>
#<alt (* y (- (* -1 (/ x y)) 1/200))>
#<alt (* y (- (* -1 (/ x y)) 1/200))>
#<alt (* -1/200 y)>
#<alt (* -1 (* y (+ 1/200 (/ x y))))>
#<alt (* -1 (* y (+ 1/200 (/ x y))))>
#<alt (* -1 (* y (+ 1/200 (/ x y))))>
#<alt (* -1/200 y)>
#<alt (+ (* -1 x) (* -1/200 y))>
#<alt (+ (* -1 x) (* -1/200 y))>
#<alt (+ (* -1 x) (* -1/200 y))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/200 (/ y x)) 1))>
#<alt (* x (- (* -1/200 (/ y x)) 1))>
#<alt (* x (- (* -1/200 (/ y x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/200 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* 1/200 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* 1/200 (/ y x)))))>

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/ (- (/ y (/ 40000 y)) (* x x)) (- (/ y -200) x))
1.0ms	x	@	0	(/ (- (/ y (/ 40000 y)) (* x x)) (- (/ y -200) x))
1.0ms	y	@	0	(/ (- (/ y (/ 40000 y)) (* x x)) (- (/ y -200) x))
1.0ms	y	@	inf	(/ (- (/ y (/ 40000 y)) (* x x)) (- (/ y -200) x))
0.0ms	x	@	inf	(/ (- (/ y (/ 40000 y)) (* x x)) (- (/ y -200) x))

rewrite368.0ms (9.5%)

Algorithm

1×	batch-egg-rewrite

Rules

5354×	`-lowering-.f32`
5354×	`-lowering-.f64`
3698×	`/-lowering-/.f32`
3698×	`/-lowering-/.f64`
1348×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	79	25
2	747	24
0	9065	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 457

Calls

Call 1

Inputs
(* -1/200 y)
(/ (- (/ y (/ 40000 y)) (* x x)) (- (/ y -200) x))
(- (/ y (/ 40000 y)) (* x x))
(/ y (/ 40000 y))
(/ 40000 y)
(- (/ y -200) x)

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

simplify152.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2146×	`fnmadd-define`
2070×	`-lowering-.f32`
2070×	`-lowering-.f64`
1388×	`fmsub-define`
1178×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	492
1	155	420
2	456	420
3	1296	420
4	3930	420
0	8232	420

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
(* -1/200 y)
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 (pow x 2))
(- (* 1/40000 (pow y 2)) (pow x 2))
(- (* 1/40000 (pow y 2)) (pow x 2))
(- (* 1/40000 (pow y 2)) (pow x 2))
(* 1/40000 (pow y 2))
(* (pow y 2) (+ 1/40000 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/40000 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/40000 (* -1 (/ (pow x 2) (pow y 2)))))
(* 1/40000 (pow y 2))
(* (pow y 2) (+ 1/40000 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/40000 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1/40000 (* -1 (/ (pow x 2) (pow y 2)))))
(* 1/40000 (pow y 2))
(+ (* -1 (pow x 2)) (* 1/40000 (pow y 2)))
(+ (* -1 (pow x 2)) (* 1/40000 (pow y 2)))
(+ (* -1 (pow x 2)) (* 1/40000 (pow y 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/40000 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/40000 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/40000 (/ (pow y 2) (pow x 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/40000 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/40000 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/40000 (/ (pow y 2) (pow x 2))) 1))
(* 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))
(/ 40000 y)
(/ 40000 y)
(/ 40000 y)
(/ 40000 y)
(/ 40000 y)
(/ 40000 y)
(/ 40000 y)
(/ 40000 y)
(/ 40000 y)
(/ 40000 y)
(/ 40000 y)
(/ 40000 y)
(* -1 x)
(- (* -1/200 y) x)
(- (* -1/200 y) x)
(- (* -1/200 y) x)
(* -1/200 y)
(* y (- (* -1 (/ x y)) 1/200))
(* y (- (* -1 (/ x y)) 1/200))
(* y (- (* -1 (/ x y)) 1/200))
(* -1/200 y)
(* -1 (* y (+ 1/200 (/ x y))))
(* -1 (* y (+ 1/200 (/ x y))))
(* -1 (* y (+ 1/200 (/ x y))))
(* -1/200 y)
(+ (* -1 x) (* -1/200 y))
(+ (* -1 x) (* -1/200 y))
(+ (* -1 x) (* -1/200 y))
(* -1 x)
(* x (- (* -1/200 (/ y x)) 1))
(* x (- (* -1/200 (/ y x)) 1))
(* x (- (* -1/200 (/ y x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (* 1/200 (/ y x)))))
(* -1 (* x (+ 1 (* 1/200 (/ y x)))))
(* -1 (* x (+ 1 (* 1/200 (/ y x)))))

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

eval98.0ms (2.5%)

Compiler: Compiled 17999 to 1388 computations (92.3% saved)

prune60.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	564	1	565
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	565	4	569

Accuracy

100.0%

Counts

569 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.0%	(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (*.f64 x x)) (-.f64 (/.f64 y #s(literal -200 binary64)) x))
▶	54.1%	(/.f64 y #s(literal -200 binary64))
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	47.8%	x

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	3	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ y -200)
y
-200

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

localize19.0ms (0.5%)

Localize:

Found 1 expressions of interest:

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

Results

14.0ms

256×

valid

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

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

ival-div: 3.0ms (83% of total)

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/ y -200)>

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

Calls

3 calls:

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

rewrite313.0ms (8.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2328×	`-lowering-.f32`
2328×	`-lowering-.f64`
1932×	`/-lowering-/.f32`
1932×	`/-lowering-/.f64`
1460×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	13	3
2	39	3
3	145	3
4	658	3
5	6489	3
0	8031	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 236

Calls

Call 1

Inputs
(/ y -200)

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

simplify122.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
1	4	36
0	4	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

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

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

eval26.0ms (0.7%)

Compiler: Compiled 2816 to 451 computations (84% saved)

prune34.0ms (0.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	248	4	252

Accuracy

100.0%

Counts

252 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.0%	(/.f64 (-.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (*.f64 x x)) (-.f64 (/.f64 y #s(literal -200 binary64)) x))
✓	54.1%	(/.f64 y #s(literal -200 binary64))
✓	100.0%	(-.f64 x (/.f64 y #s(literal 200 binary64)))
✓	47.8%	x

Compiler

Compiled 61 to 38 computations (37.7% saved)

regimes11.0ms (0.3%)

Counts

5 → 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 (-.f64 (/.f64 y (/.f64 #s(literal 40000 binary64) y)) (*.f64 x x)) (-.f64 (/.f64 y #s(literal -200 binary64)) x))

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

Calls

4 calls:

3.0ms	x
2.0ms	(-.f64 x (/.f64 y #s(literal 200 binary64)))
2.0ms	(/.f64 y #s(literal 200 binary64))
2.0ms	y

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0.1%)

Counts

3 → 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
78.8%	3	`x`
77.6%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
78.6%	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	x
1.0ms	y

Results

Accuracy	Segments	Branch
47.8%	1	`y`
47.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch28.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.812051619316976e+73	1.7920371636487829e+90
13.0ms	-1.8791960561566012e+61	-5.724356247481417e+54

Results

17.0ms

304×

valid

Compiler

Compiled 202 to 161 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 4.0ms (63.6% of total)

ival-sub: 2.0ms (31.8% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	7.812051619316976e+73	1.7920371636487829e+90
13.0ms	-1.8791960561566012e+61	-5.724356247481417e+54

Results

16.0ms

304×

valid

Compiler

Compiled 202 to 161 computations (20.3% saved)

Precisions

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

ival-div: 3.0ms (62.5% of total)

ival-sub: 2.0ms (41.7% of total)

const: 0.0ms (0% of total)

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

simplify32.0ms (0.8%)

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	21	32
1	30	32
2	39	32
3	45	32
4	50	32
5	52	32

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(if (<=.f64 x #s(literal -47000000000000000617161096727577289417980467208733589504 binary64)) x (if (<=.f64 x #s(literal 12500000000000000385083290387065711347128150500955418293261218008676748161416429568 binary64)) (/.f64 y #s(literal -200 binary64)) x))
(if (<=.f64 x #s(literal -16000000000000001252664646473539901476885764798177869824 binary64)) x (if (<=.f64 x #s(literal 179999999999999993807514555399698261727668732728490605741914453360183869440 binary64)) (*.f64 #s(literal -1/200 binary64) y) x))
x

Outputs
(-.f64 x (/.f64 y #s(literal 200 binary64)))
(if (<=.f64 x #s(literal -47000000000000000617161096727577289417980467208733589504 binary64)) x (if (<=.f64 x #s(literal 12500000000000000385083290387065711347128150500955418293261218008676748161416429568 binary64)) (/.f64 y #s(literal -200 binary64)) x))
(if (<=.f64 x #s(literal -16000000000000001252664646473539901476885764798177869824 binary64)) x (if (<=.f64 x #s(literal 179999999999999993807514555399698261727668732728490605741914453360183869440 binary64)) (*.f64 #s(literal -1/200 binary64) y) x))
(if (<=.f64 x #s(literal -16000000000000001252664646473539901476885764798177869824 binary64)) x (if (<=.f64 x #s(literal 179999999999999993807514555399698261727668732728490605741914453360183869440 binary64)) (*.f64 y #s(literal -1/200 binary64)) x))
x

soundness884.0ms (22.9%)

Rules

5354×	`-lowering-.f32`
5354×	`-lowering-.f64`
3698×	`/-lowering-/.f32`
3698×	`/-lowering-/.f64`
2256×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	138
1	70	120
2	187	120
3	552	120
4	1613	120
5	4131	120
0	8143	120
0	13	38
1	79	25
2	747	24
0	9065	24

Stop Event

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

Compiler

Compiled 58 to 39 computations (32.8% saved)

preprocess30.0ms (0.8%)

Compiler: Compiled 82 to 52 computations (36.6% saved)

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

analyze0.0ms (0%)

sample610.0ms (15.8%)

preprocess48.0ms (1.3%)

explain89.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.6%)

localize24.0ms (0.6%)

series7.0ms (0.2%)

rewrite410.0ms (10.6%)

simplify150.0ms (3.9%)

eval40.0ms (1%)

prune20.0ms (0.5%)

simplify144.0ms (3.7%)

localize68.0ms (1.8%)

series7.0ms (0.2%)

rewrite368.0ms (9.5%)

simplify152.0ms (3.9%)

eval98.0ms (2.5%)

prune60.0ms (1.5%)

simplify4.0ms (0.1%)

localize19.0ms (0.5%)

series0.0ms (0%)

rewrite313.0ms (8.1%)

simplify122.0ms (3.2%)

eval26.0ms (0.7%)

prune34.0ms (0.9%)

regimes11.0ms (0.3%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch28.0ms (0.7%)

bsearch28.0ms (0.7%)

simplify32.0ms (0.8%)

soundness884.0ms (22.9%)

preprocess30.0ms (0.8%)

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